PE5MA 10-13
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Questions and Answers

A square floor is made of 64 small square tiles. Assuming each tile has an area of 1 square foot, what is the length of one side of the entire floor?

  • 8 feet (correct)
  • 32 feet
  • 4 feet
  • 16 feet

Which expression represents 'ten squared plus five squared'?

  • $10 + 5^2$
  • $(10 + 5)^2$
  • $10^2 + 5^2$ (correct)
  • $(10 \times 5)^2$

If a square garden has an area of 81 square meters, what is the length of fencing needed to enclose the entire garden?

  • 9 meters
  • 81 meters
  • 36 meters (correct)
  • 18 meters

Which of the following numbers is both a square number and also an odd number?

<p>9 (A)</p> Signup and view all the answers

A mosaic is designed in a square pattern using small square tiles. If one side of the mosaic contains 12 tiles, what is the total number of tiles used in the mosaic?

<p>144 (D)</p> Signup and view all the answers

A farmer wants to create a square enclosure for his chickens using 100 meters of fencing. What will be the area of this enclosure?

<p>625 square meters (D)</p> Signup and view all the answers

A square picture frame has an area of 225 square centimeters. What is the length of one side of the frame?

<p>15 cm (C)</p> Signup and view all the answers

A square garden has an area of 625 square meters. If a fence is to be built around the garden, what is the length of one side of the garden?

<p>25 meters (D)</p> Signup and view all the answers

What is the value of $\sqrt{16} + 5^2$?

<p>29 (A)</p> Signup and view all the answers

A classroom has 441 desks arranged in a square formation. How many desks are in each row?

<p>21 (B)</p> Signup and view all the answers

If $x^2 = 324$, what is the value of $x + 5$?

<p>23 (A)</p> Signup and view all the answers

A farmer wants to plant mango trees in a square grid. If he has 361 trees, how many trees will be in each row?

<p>19 (B)</p> Signup and view all the answers

What is the square number of 12?

<p>144 (C)</p> Signup and view all the answers

Which expression correctly represents finding the square number of 19?

<p>$19 \times 19$ (C)</p> Signup and view all the answers

If a square number is 225, what number was multiplied by itself to obtain this square number?

<p>15 (B)</p> Signup and view all the answers

Which of the following numbers is a square number?

<p>49 (C)</p> Signup and view all the answers

What two square numbers are missing from this pattern: 4, 16, 36, 64, ____, ____?

<p>100, 144 (A)</p> Signup and view all the answers

If you multiply a number by itself and the result is between 160 and 170, what was the original number?

<p>13 (A)</p> Signup and view all the answers

Which of the following options shows the factors that will result in a square number?

<p>$9 \times 9$ (B)</p> Signup and view all the answers

Which of these numbers is the square of an odd number?

<p>49 (A)</p> Signup and view all the answers

A square courtyard has an area of 144 square meters. What is the length of one side of the courtyard?

<p>12 meters (C)</p> Signup and view all the answers

What is the most accurate next step to solve for $√225$ using prime factorization?

<p>Divide 225 by prime numbers until all factors are prime (B)</p> Signup and view all the answers

When finding the square root of 784 using prime factors, which set of factors would indicate that 784 is a perfect square?

<p>$2 \times 2 \times 2 \times 2 \times 7 \times 7$ (C)</p> Signup and view all the answers

When using a tree diagram to find the square root of 81, what does each branch represent?

<p>A division of the number into two factors (C)</p> Signup and view all the answers

What is the square root of $51 \times 51$?

<p>51 (D)</p> Signup and view all the answers

If $N = √a \times a$, then N is equal to which of the following?

<p>a (D)</p> Signup and view all the answers

Which number is a perfect square?

<p>729 (B)</p> Signup and view all the answers

Which of the following expressions represents how to find the square root of 400 using prime factors?

<p>$√(2 \times 2 \times 2 \times 2 \times 5 \times 5)$ (A)</p> Signup and view all the answers

If you are using a tree diagram to find the square root of 961, what is the goal of continuing to branch out?

<p>To find the prime factors of the number (A)</p> Signup and view all the answers

What value, when squared, will equal 324?

<p>18 (A)</p> Signup and view all the answers

In the expression $√N = 13$, what is the value of N?

<p>169 (C)</p> Signup and view all the answers

What is the primary mathematical operation used to simplify square roots by grouping like factors?

<p>Prime factorization (D)</p> Signup and view all the answers

In the process of finding the square root of 64 by prime factorization, which step directly follows expressing 64 as a product of its prime factors?

<p>Arranging the prime factors into groups of two. (D)</p> Signup and view all the answers

If $x = \sqrt{a \times a \times b \times b \times c \times c}$, how can $x$ be simplified?

<p>$x = abc$ (B)</p> Signup and view all the answers

What is the value of $\sqrt{2 \times 2 \times 5 \times 5}$?

<p>10 (D)</p> Signup and view all the answers

Which of the following expressions correctly represents the prime factorization method for finding the square root of 144?

<p>$\sqrt{144} = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3}$ (A)</p> Signup and view all the answers

How does expressing a number as a product of its prime factors aid in finding its square root?

<p>It allows for the identification of paired factors, which can be simplified out of the square root. (A)</p> Signup and view all the answers

What is the next step in simplifying $\sqrt{2 \times 2 \times 3 \times 3 \times 5}$ after identifying the prime factors?

<p>$\sqrt{(2 \times 2) \times (3 \times 3) \times 5}$ (A)</p> Signup and view all the answers

If $\sqrt{x} = a \times b \times c$, what does this imply about the value of $x$?

<p>$x = a^2 \times b^2 \times c^2$ (C)</p> Signup and view all the answers

Consider $\sqrt{3600}$. Which factorization into groups would best assist in finding the square root?

<p>$\sqrt{2 \times 2 \times 3 \times 3 \times 10 \times 10}$ (D)</p> Signup and view all the answers

What simplification is achieved by arranging like factors into groups when calculating a square root?

<p>Highlights perfect square components which simplify to whole numbers. (C)</p> Signup and view all the answers

When finding the square root of 529 using prime factorization, which of the following represents the correct grouping of factors?

<p>$\sqrt{529} = \sqrt{23 imes 23}$ (C)</p> Signup and view all the answers

If you are using a tree diagram to find the square root of 729, which prime factor will you arrive at?

<p>3 (D)</p> Signup and view all the answers

Which of the following expressions represents finding the square root of 400 by expressing it as a product of its prime factors?

<p>$\sqrt{400} = \sqrt{2 imes 2 imes 2 imes 2 imes 5 imes 5}$ (D)</p> Signup and view all the answers

A square is formed using smaller squares. If the large square contains 49 small squares, what is the length of one side of the large square, measured in units of the small squares?

<p>7 (B)</p> Signup and view all the answers

Which of these represents a number 'n' squared, plus 36?

<p>$n^2 + 36$ (C)</p> Signup and view all the answers

What is the value of $N$ if $N = \sqrt{15 imes 15 imes 4 imes 4}$?

<p>60 (D)</p> Signup and view all the answers

After using a tree diagram to break down 961 into its prime factors, what is the next step to find its square root?

<p>Pair the like prime factors and take one from each pair. (D)</p> Signup and view all the answers

If the area of a square playground is 169 square meters, and a square sandbox with an area of 25 square meters is placed inside, what is the length of a side of the playground?

<p>13 meters (D)</p> Signup and view all the answers

Which of the following numbers can be expressed as the product of two identical whole numbers?

<p>64 (D)</p> Signup and view all the answers

A builder is designing a square patio. If he wants the patio to be made of 8 rows of 8 square tiles, how many tiles will he need in total?

<p>64 (C)</p> Signup and view all the answers

A square-shaped garden is to be covered with grass. If it costs $5 per square meter for the grass and the garden has sides of 9 meters, what will be the total cost for the grass?

<p>$405 (A)</p> Signup and view all the answers

What is the area of a square whose perimeter is 44 cm?

<p>121 cm$^2$ (B)</p> Signup and view all the answers

Which of the following represents the correct expansion of $26^2$?

<p>$26 \times 26$ (D)</p> Signup and view all the answers

If a number raised to the power of two is written as 'Forty-eight raised to two,' how is this expressed mathematically?

<p>$48^2$ (C)</p> Signup and view all the answers

Given that $x \times x = 25$, which of the following correctly fills in the blank: _____ $ \times $ _____ = $5^2$ = _____?

<p>5, 5, 25 (A)</p> Signup and view all the answers

In the table, the 'Number raised to two' for 6 is $6^2$ and the 'Square number' is 36. If the 'Number' is 11, what is the 'Number raised to two'?

<p>$11^2$ (B)</p> Signup and view all the answers

Using the concept of square root, which expression is equivalent to finding the side length of a square with an area of 81?

<p>$ \sqrt{81}$ (A)</p> Signup and view all the answers

Which of the following equations demonstrates finding the square root of 169?

<p>$ \sqrt{169} = 13$ (D)</p> Signup and view all the answers

Knowing that $ \sqrt{49} = 7$ because $7 \times 7 = 49$, what does $ \sqrt{144}$ equal?

<p>12 (B)</p> Signup and view all the answers

Which of the following is equivalent to 'Seventeen raised to two'?

<p>$17^2$ (B)</p> Signup and view all the answers

If the square root of a number is 9, what is the original number?

<p>81 (B)</p> Signup and view all the answers

What is the value of $1^2$?

<p>1 (C)</p> Signup and view all the answers

What is the result of multiplying 73 by itself?

<p>5329 (B)</p> Signup and view all the answers

If a square number is 961, what number was multiplied by itself?

<p>31 (A)</p> Signup and view all the answers

Which of the following numbers, when multiplied by itself, results in a value between 3000 and 3500?

<p>58 (D)</p> Signup and view all the answers

In the pattern 1, 9, 25, 49, ___, ___, what are the next two square numbers?

<p>81, 121 (A)</p> Signup and view all the answers

Which of these numbers is a square number that falls between 85 and 130?

<p>100 (A)</p> Signup and view all the answers

In the equation $144 = x imes 12$, what is the value of x?

<p>12 (C)</p> Signup and view all the answers

If you are listing all square numbers between 70 and 150, which of the following lists is most accurate?

<p>81, 100, 121, 144 (A)</p> Signup and view all the answers

A certain number multiplied by itself results in 2209. What is the original number?

<p>47 (C)</p> Signup and view all the answers

What number fills the blank in the following equation: ____ = 16 x 16?

<p>256 (D)</p> Signup and view all the answers

If the prime factorization of a number N is $2 \times 2 \times 3 \times 3 \times 5 \times 5$, what is the value of $\sqrt{N}$?

<p>30 (B)</p> Signup and view all the answers

What is the square root of 196, given its prime factors are 2, 2, 7, and 7?

<p>14 (B)</p> Signup and view all the answers

If $x = \sqrt{2 \times 2 \times 2 \times 2 \times 3 \times 3}$, what is the value of $x$?

<p>12 (B)</p> Signup and view all the answers

Which of the following is the correct grouping of factors to find the square root of 100 using prime factorization?

<p>$\sqrt{(2 \times 2) \times (5 \times 5)}$ (D)</p> Signup and view all the answers

What is the next step to simplify $\sqrt{3 \times 3 \times 5 \times 7 \times 7}$?

<p>$3 \times 7 \times \sqrt{5}$ (B)</p> Signup and view all the answers

A square floor is made of tiles. If the area of the floor is 400 square feet, which expression can be used to find the length of one side of the floor?

<p>$\sqrt{400}$ (B)</p> Signup and view all the answers

If the area of a square is represented by $A = s^2$, and $A = 169$, what mathematical operation is needed to find the value of $s$?

<p>Finding the square root of A (C)</p> Signup and view all the answers

When finding the square root of 576 using prime factorization, a student arrives at the factors $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3$. What is the next step to simplify and find the square root?

<p>Group the factors into pairs and take one from each pair, then multiply. (D)</p> Signup and view all the answers

If a square has an area of 529 square units, what is the length of one of its sides?

<p>23 units (B)</p> Signup and view all the answers

What is the value of $y$ if $y^2 = 289$?

<p>17 (A)</p> Signup and view all the answers

Which of the following expressions represents a number squared?

<p>$n \times n$ (C)</p> Signup and view all the answers

If a square is formed by arranging 7 small squares along each side, how many small squares are used in total to form the large square?

<p>49 (C)</p> Signup and view all the answers

What is the result of squaring the number represented by the expression $3 + 2$?

<p>25 (A)</p> Signup and view all the answers

A square array of chairs is set up for an outdoor event. If there are slightly more than 6 rows but less than 8 rows, and the number of chairs is a square number, how many chairs are in the arrangement?

<p>49 (B)</p> Signup and view all the answers

Which of the following areas could represent the area of a square with whole number side lengths?

<p>36 square units (A)</p> Signup and view all the answers

If the length of one side of a square is represented by '$x$', and the area of the square is 16, which equation represents the relationship between the side length and the area?

<p>$x \times x = 16$ (D)</p> Signup and view all the answers

A square-shaped rug has sides that are '$y$' feet long. If the area of the rug is 64 square feet, what is the value of '$y$'?

<p>8 feet (C)</p> Signup and view all the answers

A square mosaic is made of 441 small square tiles. To enhance its border, a single row of additional tiles is placed around the entire mosaic. How many additional tiles are added?

<p>42 (A)</p> Signup and view all the answers

A square garden has an area of 729 square meters. If the gardener decides to divide the garden into equally sized smaller square plots, with each plot having sides of 1 meter, how many 1-meter plots will fit along one side of the original garden?

<p>27 (B)</p> Signup and view all the answers

A square park is made of two sections: a playground with an area of 144 square meters and a garden. If the side of the playground is also a side of a square garden, and it is known that 23 meters of fencing is required to enclose the rest of the park, find the total area of the garden.

<p>25 square meters (B)</p> Signup and view all the answers

A square-shaped storage room has an area of 324 square feet. The owner decides to partition the storage room into four equal square sections to store different items separately. What is the side length of each of the smaller square sections?

<p>4.5 feet (A)</p> Signup and view all the answers

Two square fields have areas of 625 $m^2$ and 1600 $m^2$, respectively. If the perimeters of these fields are added together, what is the total length of the combined perimeters?

<p>180 meters (D)</p> Signup and view all the answers

If a square number is between 200 and 250, which of the following could be the original number that was squared?

<p>16 (C)</p> Signup and view all the answers

What value, when squared and then added to 15, equals 100?

<p>9 (A)</p> Signup and view all the answers

What two square numbers are missing from this pattern: 4, 9, 25, 49, ____, ____?

<p>81, 121 (B)</p> Signup and view all the answers

If the area of one square is 49 square units and the area of another square is 169 square units, what is the sum of their side lengths?

<p>20 (C)</p> Signup and view all the answers

If $x^2 = 64$ and $y^2 = 144$, what is the value of $x + y$, assuming both x and y are positive?

<p>20 (D)</p> Signup and view all the answers

A square room has an area of 289 square feet. If you want to install a border around the room, how many feet of border material do you need?

<p>68 feet (D)</p> Signup and view all the answers

A square is divided into 25 smaller, identical squares. If the area of the entire square is 225 square centimeters, what is the side length of each smaller square?

<p>3 cm (D)</p> Signup and view all the answers

Which of the following numbers, when squared, results in a value closest to 1000?

<p>32 (B)</p> Signup and view all the answers

If $a = 5^2 + 12^2$, what is the value of $\sqrt{a}$?

<p>13 (C)</p> Signup and view all the answers

Which mathematical expression represents 'Forty-eight raised to two'?

<p>$48^2$ (C)</p> Signup and view all the answers

Given $x \times x = 144$, which of the following correctly fills in the blank: _____ $ \times $ _____ = $12^2$ = _____?

<p>12 $ \times $ 12 = $12^2$ = 144 (A)</p> Signup and view all the answers

In the table, the 'Number raised to two' for 7 is $7^2$ and the 'Square number' is 49. If the 'Number' is 13, what is the 'Square Number'?

<p>169 (B)</p> Signup and view all the answers

What is the square root of 81?

<p>9 (C)</p> Signup and view all the answers

Knowing that $ \sqrt{64} = 8$ because $8 \times 8 = 64$, what does $ \sqrt{225}$ equal?

<p>15 (D)</p> Signup and view all the answers

When finding the square root of a number using prime factorization, what is the purpose of arranging like factors into groups?

<p>To identify factors that, when multiplied by themselves, yield the original number. (A)</p> Signup and view all the answers

Using prime factorization, 196 is found to be 2 2 7 7. What is the next logical step in simplifying this expression to find the square root?

<p>Group the factors into pairs of identical numbers: (2 2) (7 7). (A)</p> Signup and view all the answers

After expressing 144 as a product of its prime factors $2 \times 2 \times 2 \times 2 \times 3 \times 3$, how should these factors be arranged to simplify finding the square root of 144?

<p>$(2 \times 2) \times (2 \times 2) \times (3 \times 3)$ (C)</p> Signup and view all the answers

If the area of a square is 676 square units, and its prime factors are $2 \times 2 \times 13 \times 13$, what is the length of one side of the square?

<p>26 units (C)</p> Signup and view all the answers

If $N = \sqrt{3 imes 3 imes 5 imes 5}$, what is the simplified value of $N$?

<p>15 (B)</p> Signup and view all the answers

What is the result of ordering the prime factors of 324 into two identical groups?

<p>3 x 2 x 3 x 2 (C)</p> Signup and view all the answers

Consider the expression $\sqrt{2 \times 2 \times 3 \times 2 \times 3}$. Which simplification correctly shows the organization of prime factors into appropriate perfect square groupings?

<p>$\sqrt{(2 \times 2) \times (3 \times 3) \times 2}$ (B)</p> Signup and view all the answers

What is the next step to simplify $\sqrt{2 \times 2 \times 3 \times 3 \times 7 \times 5}$ ?

<p>$\sqrt{(2 \times 2) \times (3 \times 3) \times (7 \times 5)}$ (C)</p> Signup and view all the answers

Using prime factorization, you find that the factors of a number are $2 \times 2 \times 3 \times 3$. What is the square root of this number?

<p>6 (A)</p> Signup and view all the answers

Consider the prime factorization of a number N as $2 \times 2 \times 5 \times 5 \times 7 \times 7$. What is the value of $\sqrt{N}$?

<p>70 (B)</p> Signup and view all the answers

A square number is found by multiplying a number by itself.

<p>True (A)</p> Signup and view all the answers

The square of 6 is 12.

<p>False (B)</p> Signup and view all the answers

$4^2$ is equal to 8.

<p>False (B)</p> Signup and view all the answers

1, 4, 9, and 16 are all examples of square numbers.

<p>True (A)</p> Signup and view all the answers

Multiplying the number of horizontal dots and vertical dots in a square arrangement will calculate the product.

<p>True (A)</p> Signup and view all the answers

Five squared is written as $5^5$.

<p>False (B)</p> Signup and view all the answers

The area of geometrical squares can be used to find square numbers.

<p>True (A)</p> Signup and view all the answers

A square number is the product of a number multiplied by itself.

<p>True (A)</p> Signup and view all the answers

$5 \times 5 = 10$.

<p>False (B)</p> Signup and view all the answers

The square root of 169 is 13.

<p>True (A)</p> Signup and view all the answers

The square number of 7 is 49.

<p>True (A)</p> Signup and view all the answers

21 multiplied by 21 equals 441.

<p>True (A)</p> Signup and view all the answers

The missing number in $81 = 9 \times \underline{\hspace{0.5cm}}$ is 9.

<p>True (A)</p> Signup and view all the answers

The missing number in $144 = \underline{\hspace{0.5cm}} \times 12$ is 13.

<p>False (B)</p> Signup and view all the answers

25 multiplied by 25 equals to 635.

<p>False (B)</p> Signup and view all the answers

One of the square numbers between 70 and 150 is 100.

<p>True (A)</p> Signup and view all the answers

The prime factors of 676 are 2 and 13.

<p>True (A)</p> Signup and view all the answers

The square root of 51 x 51 is 51.

<p>True (A)</p> Signup and view all the answers

The square root of 15 x 15 is 225.

<p>False (B)</p> Signup and view all the answers

73 is a factor of 73 x 73.

<p>True (A)</p> Signup and view all the answers

The square root of 99 x 99 is 99.

<p>True (A)</p> Signup and view all the answers

14 squared, written as $14^2$, is equal to 14 multiplied by 14.

<p>True (A)</p> Signup and view all the answers

The expression $3^7$ means 3 multiplied by 7.

<p>False (B)</p> Signup and view all the answers

Twenty-three raised to the power of two can be written as $23^2$.

<p>True (A)</p> Signup and view all the answers

The square of thirty-five is written as $35 \times 2$.

<p>False (B)</p> Signup and view all the answers

In the equation $2 \times 2 = x = 4$, $x$ equals 2.

<p>False (B)</p> Signup and view all the answers

If a number raised to the power of two equals 36, the number is 4.

<p>False (B)</p> Signup and view all the answers

121 is the result of 11 raised to the power of 2.

<p>True (A)</p> Signup and view all the answers

The square root of a number is found by multiplying the number by itself.

<p>False (B)</p> Signup and view all the answers

The symbol used to represent the square root is $\sqrt{}$.

<p>True (A)</p> Signup and view all the answers

A square number is derived from adding a number to itself.

<p>False (B)</p> Signup and view all the answers

If a computer's memory capacity is described as a square number, it implies the memory is organized in a square matrix.

<p>True (A)</p> Signup and view all the answers

Finding square roots is essential only in advanced mathematical theories and has limited practical application.

<p>False (B)</p> Signup and view all the answers

If a square has an area of 16 units, the length of each of its sides is 4 units.

<p>True (A)</p> Signup and view all the answers

The square root of 225 is 15, this implies that a square garden with an area of 225 square meters will have sides of 25 meters each.

<p>False (B)</p> Signup and view all the answers

If the number of dots in a square array is 64, then the product of the horizontal and vertical dots will result in 16.

<p>False (B)</p> Signup and view all the answers

A square number can be used to model the growth pattern of bacteria in a petri dish, where the bacteria population doubles every hour if the area they cover increases exponentially.

<p>True (A)</p> Signup and view all the answers

When finding the square root of 676 by prime factorization, the prime factors can be arranged into two equal groups, each multiplying to 26.

<p>True (A)</p> Signup and view all the answers

The square root of 729 can be found by using a tree diagram to break down the number into its prime factors.

<p>True (A)</p> Signup and view all the answers

If a number is expressed as a product of two identical factors (e.g., $51 \times 51$), then either of these factors is the square root of the number.

<p>True (A)</p> Signup and view all the answers

The square root of 784 is 28, and its prime factorization includes the prime number 7 exactly three times.

<p>False (B)</p> Signup and view all the answers

All square numbers are divisible by 6.

<p>False (B)</p> Signup and view all the answers

The product of any counting number by itself results in a square number.

<p>True (A)</p> Signup and view all the answers

The expression $5^2$ is read as 'five squared' or 'five raised to the power of two'.

<p>True (A)</p> Signup and view all the answers

Writing a number raised to the power of two indicates that the number has been multiplied by two.

<p>False (B)</p> Signup and view all the answers

The square root of 144 can be expressed as $13^2$.

<p>False (B)</p> Signup and view all the answers

The number 64 can be expressed mathematically as $8 \times 8$, which can then be simplified to $8^2$.

<p>True (A)</p> Signup and view all the answers

The illustration of dots demonstrates that a $6 \times 6$ arrangement would visually represent the square number 36.

<p>True (A)</p> Signup and view all the answers

The number 169 written as a number raised to the power of two, can be expressed as $14^2$.

<p>False (B)</p> Signup and view all the answers

According to the examples, $7^2$ is equivalent to $7 \times 7$, which equals 49.

<p>True (A)</p> Signup and view all the answers

Based on the given examples, the square number of 6 is 12.

<p>False (B)</p> Signup and view all the answers

The expression $7 \times 7$ can be written as $7^7$.

<p>False (B)</p> Signup and view all the answers

The square of 15, represented as $15^2$, equates to 225.

<p>True (A)</p> Signup and view all the answers

The number of small squares within a larger square representation is indeed a square number.

<p>True (A)</p> Signup and view all the answers

If you have a square with sides made up of 8 small squares each, the total number of small squares would be 64, representing $8^2$.

<p>True (A)</p> Signup and view all the answers

The number 289 can be expressed as $17^2$.

<p>True (A)</p> Signup and view all the answers

If a square number can be visually represented as a geometrical square, then 30 is a geometric square number because it can be arranged into a square.

<p>False (B)</p> Signup and view all the answers

If a number is multiplied by two, it is said to be squared.

<p>False (B)</p> Signup and view all the answers

The examples provided suggest that 2, 5, and 8 are square numbers.

<p>False (B)</p> Signup and view all the answers

Based on the given information, $6 \times 6 = 6^6$.

<p>False (B)</p> Signup and view all the answers

Using a tree diagram to find the square root of 64, the first split would be 4 and 16.

<p>True (A)</p> Signup and view all the answers

The square root of 64 can be expressed as the product of six factors of 3.

<p>False (B)</p> Signup and view all the answers

The prime factorization of 64, when finding the square root using a tree diagram, involves only the number 2.

<p>True (A)</p> Signup and view all the answers

To find the square root of a number using prime factorization, you look for pairs of identical factors.

<p>True (A)</p> Signup and view all the answers

If a number's square root is 11, then the number is 21.

<p>False (B)</p> Signup and view all the answers

The square root of any even number will always be another even number.

<p>False (B)</p> Signup and view all the answers

If a training program starts on August 1st and lasts for 3 months, during which month does it conclude?

<p>October (C)</p> Signup and view all the answers

How many hours are there in a week?

<p>168 hours (D)</p> Signup and view all the answers

In a non-leap year, what is the total number of days in the months of January, February, and March combined?

<p>90 days (D)</p> Signup and view all the answers

A project requires exactly 5 weeks to complete. How many days are needed to finish the project?

<p>35 days (A)</p> Signup and view all the answers

If a worker is granted 48 hours of leave, how many days is this equivalent to?

<p>2 days (D)</p> Signup and view all the answers

A specific month has 31 days. How many full weeks and remaining days are in this month?

<p>4 weeks and 3 days (A)</p> Signup and view all the answers

How many months have exactly 31 days in a regular year?

<p>7 (B)</p> Signup and view all the answers

If today is Wednesday, what day will it be 25 days from now?

<p>Friday (D)</p> Signup and view all the answers

If an event starts at quarter past two (2:15) and lasts for three and a half hours, at what time will the event conclude?

<p>5:45 (D)</p> Signup and view all the answers

A train departs at 7:20 AM and the journey is expected to last 6 hours and 45 minutes. At what time is the train expected to arrive?

<p>2:05 PM (A)</p> Signup and view all the answers

A task begins at 8:00 AM and takes 50 hours to complete. On what day and at what time will the task finish?

<p>Two days later at 10:00 AM (A)</p> Signup and view all the answers

A baker starts preparing dough at 6:30 AM. The first rise takes 1 hour and 40 minutes, and the second rise takes half of that time. At what time is the dough ready for baking?

<p>9:05 AM (C)</p> Signup and view all the answers

If it takes 10 minutes to walk from home to the bus stop and the bus ride to work lasts 35 minutes, what is the latest time someone can leave home to arrive at work by 9:00 AM?

<p>8:15 AM (D)</p> Signup and view all the answers

A movie that is 2 hours and 15 minutes long starts at 11:45 AM. At what time will the movie end?

<p>2:00 PM (C)</p> Signup and view all the answers

A group of students started a science project at 10:48 AM and worked on it until 1:22 PM. How long did they spend working on the science project?

<p>2 hours and 34 minutes (D)</p> Signup and view all the answers

What is the duration between five minutes past eleven (11:05 AM) and quarter to one (12:45 PM)?

<p>1 hour 40 minutes (D)</p> Signup and view all the answers

A student is converting 6 days and 30 hours into days. What is the equivalent number of days?

<p>7.25 days (A)</p> Signup and view all the answers

If you have 5 days and 12 hours, and you want to divide both the days and hours by 3, what is the correct result?

<p>1 day and 16 hours (C)</p> Signup and view all the answers

A task requires 7 days and 48 hours to complete. If this task is divided equally among 4 workers, how long will each worker spend on the task?

<p>2 days and 18 hours (A)</p> Signup and view all the answers

A project timeline is scheduled for 10 days and 60 hours. If the project needs to be completed in half the time, what is the new deadline in days and hours?

<p>7 days and 12 hours (D)</p> Signup and view all the answers

A team recorded that they worked for a total of 125 hours over 5 days. If they worked the same number of hours each day, how many hours and minutes did they work each day?

<p>25 hours and 0 minutes (D)</p> Signup and view all the answers

If you multiply 5 years and 3 months by 4, what is the result?

<p>21 years (B)</p> Signup and view all the answers

What is the first step when multiplying a time duration like '4 years and 5 months' by a scalar?

<p>Multiply the years and months separately. (A)</p> Signup and view all the answers

After multiplying the months, what should you do if the result exceeds 12 months?

<p>Convert the months to years and add to the years value. (C)</p> Signup and view all the answers

If multiplying '2 years and 7 months' by 5 results in '10 years and 35 months', what is the next step to simplify this?

<p>Convert 35 months into years and months, then add to the 10 years. (C)</p> Signup and view all the answers

Multiply 4 years and 9 months by 3. What is the result in years and months?

<p>14 years and 3 months (B)</p> Signup and view all the answers

What is the product of 22 years and 11 months multiplied by 3?

<p>67 years and 3 months (C)</p> Signup and view all the answers

What is the result of 6 years and 2 months multiplied by 7?

<p>43 years and 8 months (E)</p> Signup and view all the answers

Suppose you need to calculate 9 years and 4 months multiplied by 6. Which part needs conversion after multiplication?

<p>Only the months if the product exceeds 12 (D)</p> Signup and view all the answers

If you multiply 18 years and 8 months by 8, what would the resulting time measurement be?

<p>148 years and 4 months (D)</p> Signup and view all the answers

What is the result of multiplying 12 years and 10 months by 2?

<p>26 years and 8 months (B)</p> Signup and view all the answers

If multiplying a certain number of years and months by 3 results in 9 years and 39 months, what is the simplified result?

<p>12 years and 3 months (A)</p> Signup and view all the answers

When multiplying '7 years and 5 months' by 6 results in 42 years and 30 months, what is the simplified form after converting months to years?

<p>44 years and 6 months (A)</p> Signup and view all the answers

If you're dividing hours and minutes, what conversion should you remember?

<p>1 hour = 60 minutes (C)</p> Signup and view all the answers

Multiplying X years and Y months by 2 results in 10 years and 28 months. Find the values of variables X and Y.

<p>X = 5, Y = 7 (D)</p> Signup and view all the answers

According to the provided content, which time unit should you divide first when dividing hours and minutes?

<p>Hours (A)</p> Signup and view all the answers

6 years and 5 months multiplied by 6 equals what?

<p>38 years and 6 months (C)</p> Signup and view all the answers

If you multiply 30 years and 1 month by 6, what would be the resulting time measurement?

<p>180 years and 6 months (C)</p> Signup and view all the answers

If a clock shows the minute hand pointing at 12 and the hour hand pointing at 3, which of the following is the correct way to describe the time?

<p>Three o'clock (D)</p> Signup and view all the answers

A clock shows the minute hand pointing directly at the number 6 and the hour hand halfway between 4 and 5. What time does the clock show?

<p>Four thirty (B)</p> Signup and view all the answers

If the minute hand on a clock points to the 3 and the hour hand is a little past the 1, how would you typically describe the time?

<p>One fifteen (D)</p> Signup and view all the answers

The minute hand is on the 9, and the hour hand is approaching the 8. How would you correctly state the time?

<p>Quarter to eight (B)</p> Signup and view all the answers

A clock shows the hour hand just past the 10, and the minute hand is on the 2. What time is it?

<p>Ten ten (C)</p> Signup and view all the answers

If it takes you 20 minutes to read 5 pages of a book, and you start reading at 7:10 PM, what time will it be when you finish those 5 pages?

<p>7:30 PM (A)</p> Signup and view all the answers

A train is scheduled to depart at 11:45 AM, but it's delayed by 35 minutes. What time does the train actually depart?

<p>12:20 PM (B)</p> Signup and view all the answers

If 48 hours and 36 minutes are divided equally among 4 people, how long will each person work?

<p>12 hours and 9 minutes (C)</p> Signup and view all the answers

A journey of 35 hours and 15 minutes is divided into 5 equal segments. How long is each segment?

<p>7 hours and 3 minutes (D)</p> Signup and view all the answers

If it takes 3 hours and 42 minutes to complete three identical tasks, how long does it take to complete each individual task?

<p>1 hour and 14 minutes (D)</p> Signup and view all the answers

An athlete runs for a total of 18 hours and 54 minutes over 6 days, running the same amount of time each day. How long does the athlete run each day?

<p>3 hours and 9 minutes (B)</p> Signup and view all the answers

A project requiring 27 hours and 33 minutes of work is split equally among 3 team members. How much time is each team member expected to work?

<p>9 hours and 11 minutes (D)</p> Signup and view all the answers

Which of the following statements accurately describes the difference between a leap year and a short year?

<p>A leap year has 29 days in February and is divisible by 4, while a short year has 28 days in February and is not always divisible by 4. (D)</p> Signup and view all the answers

If a year is divisible by 4 but not a leap year, what is the most likely reason?

<p>The year might also be divisible by 100, but not by 400. (B)</p> Signup and view all the answers

Which of the following months will always have 30 days, every year?

<p>April (D)</p> Signup and view all the answers

If today is Wednesday, what day will it be in exactly 2 weeks?

<p>Wednesday (C)</p> Signup and view all the answers

Which of the following dates is written incorrectly?

<p>4th of 13th of 2023 (B)</p> Signup and view all the answers

What is the date that comes exactly one week after March 15th?

<p>March 22nd (D)</p> Signup and view all the answers

If today is June 5th and a meeting is scheduled for 3 weeks from today, what is the date of the meeting?

<p>June 26th (C)</p> Signup and view all the answers

It's the year 2024, what is the next leap year?

<p>2028 (B)</p> Signup and view all the answers

In a short year, how many days are there in January and February combined?

<p>59 (D)</p> Signup and view all the answers

What information is essential to remember when multiplying years and months?

<p>1 year = 12 months (D)</p> Signup and view all the answers

In multiplying years and months, which unit should you multiply first?

<p>Months, to handle possible carry-overs to years correctly (C)</p> Signup and view all the answers

If you multiply 3 years and 5 months by 4, what is the result in months before converting to years and months?

<p>60 months (C)</p> Signup and view all the answers

After multiplying, if the total months exceed 12, what should you do?

<p>Convert the excess months into years and add them to the years total (A)</p> Signup and view all the answers

What would be the simplified result of 2 years and 7 months multiplied by 3?

<p>7 years and 3 months (D)</p> Signup and view all the answers

In a multiplication problem involving years and months, after completing the multiplication, you end up with 5 years and 15 months. What is the correct way to express this result?

<p>6 years and 3 months (D)</p> Signup and view all the answers

If a project takes 2 years and 3 months to complete for one unit, how long would it take to complete 5 identical units, assuming the time scales linearly?

<p>11 years and 6 months (D)</p> Signup and view all the answers

A certain tree grows 1 year and 2 months every cycle. How much will the tree have grown after 4 cycles?

<p>4 years and 8 months (C)</p> Signup and view all the answers

What is 6 years and 4 months multiplied by 2?

<p>12 years and 8 months (B)</p> Signup and view all the answers

Calculate 8 years and 3 months multiplied by 5.

<p>41 years and 3 months (B)</p> Signup and view all the answers

If a worker spends 6 hours and 15 minutes each day on a project, how many hours and minutes will they have spent after 5 days?

<p>31 hours and 15 minutes (C)</p> Signup and view all the answers

A baker spends 2 hours and 40 minutes preparing dough each morning. If the baker works 6 days a week, what is the total time spent preparing dough each week?

<p>16 hours (A)</p> Signup and view all the answers

A train travels for 3 hours and 45 minutes at a constant speed. If the train makes the same journey 3 times a day, how long does it spend traveling in a day?

<p>11 hours and 45 minutes (C)</p> Signup and view all the answers

A movie is 2 hours and 25 minutes long. If a cinema plays the movie 4 times in one day, how long do they spend showing the movie?

<p>9 hours and 20 minutes (B)</p> Signup and view all the answers

If a construction worker spends 3 hours and 50 minutes on one project, how long would two workers spend on the same project, assuming they can complete it together?

<p>3 hours and 50 minutes (E)</p> Signup and view all the answers

A programmer works 8 hours and 12 minutes each day. How many total hours and minutes does the programmer work in 5 days?

<p>41 hours (D)</p> Signup and view all the answers

A factory operates for 16 hours and 45 minutes each day. What is the total operating time for the factory over 3 days?

<p>50 hours and 15 minutes (B)</p> Signup and view all the answers

A family drives for 6 hours and 20 minutes on each leg of a journey. If they complete 2 legs, what is the total driving time?

<p>12 hours and 40 minutes (A)</p> Signup and view all the answers

A student studies for 4 hours and 30 minutes each day from Monday to Friday. What is the total study time for the week?

<p>22 hours and 30 minutes (B)</p> Signup and view all the answers

A construction team works for 7 hours and 15 minutes each day on a project. If they work for 4 days in a week, what is the total time they spend working on the project that week?

<p>29 hours (C)</p> Signup and view all the answers

If you divide 10 years and 6 months by 2, what is the result?

<p>5 years and 3 months (A)</p> Signup and view all the answers

A project is expected to last 7 years and 3 months. If the project timeline is divided into 3 equal phases, how long is each phase expected to last?

<p>2 years and 1 month (D)</p> Signup and view all the answers

A time capsule is opened after 25 years and 8 months. If the information inside is presented in 4 equal segments at a historical society, for how long does each segment cover?

<p>6 years and 4 months (A)</p> Signup and view all the answers

A school organizes a long-term environmental project that lasts 12 years and 9 months. If the project is divided into 5 equal phases for different student groups, how long will each phase last?

<p>2 years and 4 months (A)</p> Signup and view all the answers

Suppose you have records spanning 50 years and 4 months. You want to archive them into 8 equally sized segments. How long does each segment of records span?

<p>6 years and 3 months (D)</p> Signup and view all the answers

To correctly multiply years and weeks, what conversion factor must be remembered?

<p>1 year = 52 weeks (B)</p> Signup and view all the answers

In the multiplication of units involving both years and weeks, which unit is typically multiplied first?

<p>Multiply weeks first (A)</p> Signup and view all the answers

If you multiply 9 weeks by 7, how should the product be recorded if you're tracking total weeks without converting to months?

<p>Record the answer as 63 weeks (A)</p> Signup and view all the answers

How does multiplying 22 years and 2 weeks by 2 affect each unit separately?

<p>Both years and weeks are doubled (C)</p> Signup and view all the answers

What is the result of multiplying 10 weeks and 7 days by 2, expressed in weeks, assuming 7 days equals 1 week?

<p>22 weeks (A)</p> Signup and view all the answers

If a project takes 6 years and 36 weeks to complete, and everything proceeds twice as slowly as planned, how long will the project effectively take?

<p>12 years and 72 weeks (A)</p> Signup and view all the answers

A construction company estimates building a house will take 2 years and 26 weeks. However, they experience a 1/2 slowdown of work. How long does the construction effectively take?

<p>3 years and 39 weeks (B)</p> Signup and view all the answers

If you divide 21 days and 12 hours by 3, how many days and hours do you get?

<p>7 days and 4 hours (B)</p> Signup and view all the answers

What is the result of dividing 10 hours and 50 minutes by 5?

<p>2 hours and 10 minutes (D)</p> Signup and view all the answers

Calculate: (12 hours 36 minutes) / 6

<p>2 hours 6 minutes (B)</p> Signup and view all the answers

What is the solution to (16 days 8 hours) / 4?

<p>4 days 2 hours (D)</p> Signup and view all the answers

If 25 hours and 15 minutes is divided by 5, what is the result?

<p>5 hours and 3 minutes (B)</p> Signup and view all the answers

What is the result of dividing 36 days and 6 hours by 6?

<p>6 days and 1 hour (A)</p> Signup and view all the answers

Solve: (48 hours 24 minutes) / 8

<p>6 hours 3 minutes (B)</p> Signup and view all the answers

If you divide 14 days and 42 hours by 7, what is the result?

<p>2 days and 6 hours (B)</p> Signup and view all the answers

What is the outcome of dividing 60 hours and 35 minutes by 5?

<p>12 hours and 7 minutes (A)</p> Signup and view all the answers

Calculate (72 days and 96 hours) / 8

<p>9 days and 12 hours (A)</p> Signup and view all the answers

If you multiply 8 years and 15 weeks by 3, and then convert any excess weeks into years, what would be the resulting number of years and weeks?

<p>24 years and 45 weeks (C)</p> Signup and view all the answers

What is the result of multiplying 2 years and 30 weeks by 5, expressing the final answer in years and weeks?

<p>12 years and 40 weeks (D)</p> Signup and view all the answers

What is the outcome of multiplying 4 years and 12 weeks by 6, expressing the final result in years and weeks?

<p>25 years and 20 weeks (B)</p> Signup and view all the answers

If someone calculates 7 years and 10 weeks multiplied by 4, but incorrectly states the result as 29 years and 40 weeks, what error did they likely commit?

<p>They did not convert the extra weeks into years. (C)</p> Signup and view all the answers

What is the result of multiplying 10 years and 6 weeks by 2?

<p>20 years 12 weeks (C)</p> Signup and view all the answers

After multiplying a certain number of years and weeks by 3, a student arrives at 15 years and 60 weeks. Knowing that there are 52 weeks in a year, what is the correct way to express the final answer?

<p>16 years and 8 weeks (C)</p> Signup and view all the answers

What is the equivalent of 6 years and 40 weeks multiplied by 2, expressed in years and weeks?

<p>13 years and 28 weeks (D)</p> Signup and view all the answers

If you have 9 years and 20 weeks and multiply it by 5, what is correct converted value in years and weeks?

<p>46 years and 46 weeks (C)</p> Signup and view all the answers

A calculation results in 25 years and 65 weeks. How should this be properly expressed, knowing there are 52 weeks in a year?

<p>26 years and 13 weeks (C)</p> Signup and view all the answers

When dividing a duration of 56 weeks and 7 days by 7, what is the resulting duration?

<p>8 weeks and 1 day (D)</p> Signup and view all the answers

A project took 63 weeks and 14 days to complete. If 7 equally sized teams worked on the project, how long did each team work?

<p>9 weeks and 2 days (D)</p> Signup and view all the answers

If a challenge is divided evenly over 4 weeks and 28 days, how long is the challenge in weeks?

<p>11 weeks (B)</p> Signup and view all the answers

What is the result of dividing 105 weeks and 35 days by 5?

<p>21 weeks and 7 days (A)</p> Signup and view all the answers

If 84 weeks and 21 days are equally distributed among 3 groups, how much time does each group receive?

<p>28 weeks and 7 days (C)</p> Signup and view all the answers

A project is scheduled to last 91 weeks and 49 days. If it is divided into 7 equal phases, how long is each phase?

<p>13 weeks and 7 days (D)</p> Signup and view all the answers

A task that lasts 140 weeks and 56 days needs to be split equally among 8 workers. How much time is allocated to each worker?

<p>18 weeks and 7 days (C)</p> Signup and view all the answers

What is the quotient when 168 weeks and 42 days is divided by 6?

<p>28 weeks and 7 days (B)</p> Signup and view all the answers

If a period of 189 weeks and 63 days is divided into 9 equal segments, what is the duration of each segment?

<p>22 weeks and 7 days (B)</p> Signup and view all the answers

Consider a duration of 210 weeks and 84 days. If this duration is divided by 7, what is each portion?

<p>30 weeks and 12 days (B)</p> Signup and view all the answers

The date 20th February, 2018 can be written as 20.2.2018 using full stops.

<p>True (A)</p> Signup and view all the answers

The date 20.2.2018 can be written 20/2/2018 using forward slashes.

<p>True (A)</p> Signup and view all the answers

The date 'Third of May, two thousand and nineteen' can be written as 3 – 5 – 2019 using dashes.

<p>True (A)</p> Signup and view all the answers

All months have exactly 4 weeks.

<p>False (B)</p> Signup and view all the answers

Each week has 8 days.

<p>False (B)</p> Signup and view all the answers

When constructing a monthly calendar you must draw eight vertical lines inside the rectangle.

<p>False (B)</p> Signup and view all the answers

When constructing a monthly calendar the names of days are written starting from Tuesday to Monday.

<p>False (B)</p> Signup and view all the answers

When multiplying days and hours, you should multiply the days before the hours.

<p>False (B)</p> Signup and view all the answers

If you have 24 hours, that equals one day.

<p>True (A)</p> Signup and view all the answers

When multiplying 4 days and 3 hours by 7, the hours portion of the answer is 21.

<p>True (A)</p> Signup and view all the answers

When dividing days and hours, you only work with the 'days'.

<p>False (B)</p> Signup and view all the answers

When multiplying 4 days and 3 hours by 7, the days portion of the answer is 35.

<p>False (B)</p> Signup and view all the answers

In Example 2, 2 days is correctly converted to 46 hours.

<p>False (B)</p> Signup and view all the answers

28 days and 21 hours is the correct way to state the final answer.

<p>False (B)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the hours portion of the answer is 48.

<p>True (A)</p> Signup and view all the answers

In Example 3, 85 days and 15 hours divided by 5 results in 17 days and 3 hours.

<p>True (A)</p> Signup and view all the answers

If there is a remainder when dividing days, you should ignore it.

<p>False (B)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the days portion of the answer is 24.

<p>True (A)</p> Signup and view all the answers

When dividing time, it is sometimes necessary to convert days to hours.

<p>True (A)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the final answer is 26 days and 0 hours.

<p>True (A)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the hours portion of the final answer is 10.

<p>False (B)</p> Signup and view all the answers

Multiplying 4 weeks by 5 results in 20 weeks.

<p>True (A)</p> Signup and view all the answers

When multiplying weeks and days, you should always convert days to weeks before multiplying.

<p>False (B)</p> Signup and view all the answers

When multiplying years and months, you always start by multiplying the years first.

<p>False (B)</p> Signup and view all the answers

If you have a result of 28 days, that is equal to exactly 4 weeks.

<p>True (A)</p> Signup and view all the answers

One year is equal to 12 months.

<p>True (A)</p> Signup and view all the answers

When multiplying weeks and days, the 'days' part of the calculation can never be zero.

<p>False (B)</p> Signup and view all the answers

10 weeks and 6 days multiplied by 6 is equal to 65 weeks and 1 day.

<p>False (B)</p> Signup and view all the answers

If you have 10 months, that is less than a year.

<p>True (A)</p> Signup and view all the answers

When converting months to years, you divide the number of months by 10.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days, you only need to multiply the number of days.

<p>False (B)</p> Signup and view all the answers

There are 5 days in a normal week.

<p>False (B)</p> Signup and view all the answers

Adding the 'carried over' year after multiplying the years column is the correct procedure.

<p>True (A)</p> Signup and view all the answers

When multiplying weeks and days, you are only able to multiply them by single digit numbers.

<p>False (B)</p> Signup and view all the answers

3 years and 2 months multiplied by 8 results in 24 years and 16 months before converting the months.

<p>True (A)</p> Signup and view all the answers

If the month calculation results in 12 months, this converts to 2 year.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days by a number, the weeks are multiplied before the days.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days by a number, the maximum value the days can be, before converting, is 6.

<p>False (B)</p> Signup and view all the answers

When multiplying years and months, you only need to multiply the months if the years stay the same.

<p>False (B)</p> Signup and view all the answers

2 years and 4 months is the same as 28 months.

<p>True (A)</p> Signup and view all the answers

Six months is half a year.

<p>True (A)</p> Signup and view all the answers

Quarter past twelve is 12:15.

<p>True (A)</p> Signup and view all the answers

Half past eight is the same as 8:30.

<p>True (A)</p> Signup and view all the answers

A time of quarter to ten is correctly written as 10:45.

<p>False (B)</p> Signup and view all the answers

Five minutes past eleven is 11:50.

<p>False (B)</p> Signup and view all the answers

Two fifteen can be written as 2:15.

<p>True (A)</p> Signup and view all the answers

Eight forty-five is the same as 8:15.

<p>False (B)</p> Signup and view all the answers

An annual calendar shows days, weeks, months and years.

<p>True (A)</p> Signup and view all the answers

There are 52 weeks in a year.

<p>True (A)</p> Signup and view all the answers

There are 40 months in a year.

<p>False (B)</p> Signup and view all the answers

When dividing years and months, you should start by dividing the months first.

<p>False (B)</p> Signup and view all the answers

If you divide 98 years by 5, you will be left with a 5 year remainder.

<p>False (B)</p> Signup and view all the answers

According to the calendar, the 6th day of the month falls on a Saturday.

<p>True (A)</p> Signup and view all the answers

The sample monthly calendar begins on a Monday.

<p>True (A)</p> Signup and view all the answers

Based on the sample calendar, the 20th day of the month falls on a Sunday.

<p>True (A)</p> Signup and view all the answers

The calendar has more than five Fridays.

<p>False (B)</p> Signup and view all the answers

Lilian took exactly 30 days of leave.

<p>False (B)</p> Signup and view all the answers

The calendar includes the 31st day of the month.

<p>True (A)</p> Signup and view all the answers

The second Friday of March falls on the 8th.

<p>False (B)</p> Signup and view all the answers

Lilian is a teacher mentioned in the text.

<p>False (B)</p> Signup and view all the answers

The 30th of November is on a Thursday.

<p>False (B)</p> Signup and view all the answers

When multiplying time, you should start by multiplying the weeks first.

<p>False (B)</p> Signup and view all the answers

If the number of days exceeds 7, you need to convert it into weeks and days.

<p>True (A)</p> Signup and view all the answers

To convert days into weeks, you should multiply the number of days by 7.

<p>False (B)</p> Signup and view all the answers

If you multiply 2 weeks and 2 days by 3, the result is 6 weeks and 6 days.

<p>True (A)</p> Signup and view all the answers

There are 365 days in a regular year.

<p>True (A)</p> Signup and view all the answers

When multiplying 5 weeks and 3 days by 4, the days' result is 7 days.

<p>False (B)</p> Signup and view all the answers

One week is equivalent to eight days.

<p>False (B)</p> Signup and view all the answers

If the days calculation results in two weeks, it should be written in the 'days' position.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days, you always carry over any extra days that are less than 7.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days, the carried over weeks are added after multiplying the weeks.

<p>True (A)</p> Signup and view all the answers

When multiplying time, you always start with multiplying the hours first.

<p>False (B)</p> Signup and view all the answers

If the product of the minutes exceeds 60, you must convert the excess minutes to hours.

<p>True (A)</p> Signup and view all the answers

In the example, 7 hours and 21 minutes multiplied by 4 equals 28 hours and 84 minutes before conversion.

<p>True (A)</p> Signup and view all the answers

When carrying over from minutes to hours, you always carry over the entire minute value.

<p>False (B)</p> Signup and view all the answers

The product of 5 hours and 16 minutes multiplied by 6 is 31 hours and 36 minutes.

<p>True (A)</p> Signup and view all the answers

If the multiplication of minutes results in exactly 60 minutes, you write 00 in the minutes place and add one to the hours.

<p>True (A)</p> Signup and view all the answers

When multiplying time, it is impossible have more than 59 minutes in the final answer.

<p>True (A)</p> Signup and view all the answers

Multiplying 2 hours and 15 minutes by 2 will result in 4 hours and 15 minutes.

<p>False (B)</p> Signup and view all the answers

When given a time duration problem to multiply, the minutes must be less than 60.

<p>True (A)</p> Signup and view all the answers

If you have 1 hour and 89 minutes, this is the same as 2 hours and 29 minutes.

<p>True (A)</p> Signup and view all the answers

To convert 48 hours into days, you would divide 48 by 24 resulting in 2 days.

<p>True (A)</p> Signup and view all the answers

There are 1440 minutes in one day.

<p>True (A)</p> Signup and view all the answers

To find out how many hours are in 5 days, you should divide 120 by 5.

<p>False (B)</p> Signup and view all the answers

If a bus journey takes 3 days and 12 hours, that is equal to 84 hours.

<p>True (A)</p> Signup and view all the answers

Converting 420 minutes is equivalent to 7 hours.

<p>True (A)</p> Signup and view all the answers

When multiplying time measurements, you should start by multiplying the larger time measurement first.

<p>False (B)</p> Signup and view all the answers

If you multiply 3 hours and 20 minutes by 4, you get 12 hours and 20 minutes.

<p>False (B)</p> Signup and view all the answers

When multiplying time units, such as years and months, you should always convert the months into years before performing the multiplication.

<p>False (B)</p> Signup and view all the answers

When multiplying 3 years and 2 months by 8, the intermediate result of the months multiplication is 16 months, which converts to 2 years and 4 months.

<p>False (B)</p> Signup and view all the answers

The final answer for 3 years and 2 months multiplied by 8 is 25 years and 4 months.

<p>True (A)</p> Signup and view all the answers

If you multiply 5 years and 3 months by 4 without carrying over, the answer is 20 years and 15 months.

<p>True (A)</p> Signup and view all the answers

To convert 30 months into years and months, you would get 3 years and 6 months.

<p>False (B)</p> Signup and view all the answers

When multiplying 4 days and 3 hours by 7, the correct product is 28 days and 21 hours.

<p>True (A)</p> Signup and view all the answers

To convert years into weeks, you should multiply the number of years by 50.

<p>True (A)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the intermediate step involves writing 48 in the hours position before conversion.

<p>False (B)</p> Signup and view all the answers

When multiplying 6 days and 12 hours by 4, the 2 days obtained from converting 48 hours should be subtracted from the days.

<p>False (B)</p> Signup and view all the answers

When multiplying years and months, you should always start by multiplying the years first.

<p>False (B)</p> Signup and view all the answers

If a calculation results in 24 months, it is equivalent to 3 years.

<p>False (B)</p> Signup and view all the answers

If a calculation results in 30 days and 25 hours, it is necessary to convert the 25 hours into 1 day and 1 hour, resulting in a final answer of 31 days and 1 hour.

<p>True (A)</p> Signup and view all the answers

When multiplying 5 days and 0 hours by 8, no conversion is required since the hours component is zero, thus the final result is 40 days and 0 hours.

<p>True (A)</p> Signup and view all the answers

Multiplying 5 years by 6 weeks will result in 35 weeks.

<p>False (B)</p> Signup and view all the answers

When multiplying 8 years by 4, the product is 12 years.

<p>False (B)</p> Signup and view all the answers

Multiplying 3 days and 8 hours by 3 results in 9 days and 24 hours, which simplifies to 10 days, as 24 hours equals one complete day.

<p>True (A)</p> Signup and view all the answers

If a calculation results in 15 days and 30 hours, it's necessary to convert the 30 hours into 1 day and 16 hours.

<p>False (B)</p> Signup and view all the answers

If a calculation results in exactly twelve months, you carry over '1' to the years.

<p>True (A)</p> Signup and view all the answers

When multiplying 10 Days and 12 hours by 2, the result will be 21 days.

<p>False (B)</p> Signup and view all the answers

When multiplying years and months, carrying over from months to years involves subtracting 10 from the months for every year added.

<p>False (B)</p> Signup and view all the answers

When multiplying 2 days and 10 hours by 5, the number of hours will be less than a day, therefore no conversion of hours to days is required.

<p>False (B)</p> Signup and view all the answers

Calculating 7 years multiplied by 5 weeks is equal to 165 weeks.

<p>False (B)</p> Signup and view all the answers

When given the problem years months 1 4 × 2, the final answer in the months position is 4.

<p>False (B)</p> Signup and view all the answers

Multiplying 4 weeks by 5 results in 20 weeks, and adding 1 week converted from the remaining days gives a total of 22 weeks.

<p>False (B)</p> Signup and view all the answers

When multiplying 10 weeks and 6 days by 6, the result is 65 weeks and 1 day.

<p>False (B)</p> Signup and view all the answers

If you multiply 7 weeks and 1 day by 6, you only need to multiply the weeks by 6 and keep the 1 day unchanged in the final answer.

<p>False (B)</p> Signup and view all the answers

Multiplying 3 weeks and 3 days by 3 gives 9 weeks and 9 days, which is equivalent to 10 weeks and 2 days.

<p>True (A)</p> Signup and view all the answers

Multiplying 5 weeks and 4 days by 7 is the same as multiplying 5 weeks by 7 and 4 days by 7 separately, and then summing the results.

<p>True (A)</p> Signup and view all the answers

When you multiply 11 weeks and 6 days by 2, you will definitely have more than 23 weeks in your end result.

<p>True (A)</p> Signup and view all the answers

Multiplying 17 weeks and 2 days by 3 yields fewer than 51 weeks because we ignore the extra days.

<p>False (B)</p> Signup and view all the answers

Calculating 10 weeks and 5 days multiplied by 4 includes converting any excess days into weeks to give a final answer in combined weeks and remaining days.

<p>True (A)</p> Signup and view all the answers

If multiplying 'x' weeks and 'y' days by a number 'n' results in a fractional week (e.g., 20.5 weeks), it is acceptable to round this value to the nearest whole week for the answer.

<p>False (B)</p> Signup and view all the answers

When multiplying weeks and days by a constant, it is impossible for the 'days' component of the answer to ever be zero.

<p>False (B)</p> Signup and view all the answers

If a table is 1.5 meters long, what is its length in centimeters?

<p>150 cm (B)</p> Signup and view all the answers

A road sign indicates the next town is 5 kilometers away. How far is this in meters?

<p>5,000 meters (D)</p> Signup and view all the answers

A piece of cloth measures 300 millimeters. How long is this cloth in decimeters?

<p>3 dm (C)</p> Signup and view all the answers

A garden is 2 decameters in length. How many meters of fencing are needed to enclose one side of the garden?

<p>20 meters (C)</p> Signup and view all the answers

Jane walked 300,000 cm. How many kilometers did she walk?

<p>3 km (A)</p> Signup and view all the answers

A building is 25 meters tall. What is its height in millimeters?

<p>25,000 mm (C)</p> Signup and view all the answers

If a field is 0.8 hectometers long, how long is this field in meters?

<p>80 meters (D)</p> Signup and view all the answers

What is the result of converting 6 decameters (dam) into meters?

<p>60 meters (B)</p> Signup and view all the answers

Convert 4120 decimeters into meters.

<p>412 meters (A)</p> Signup and view all the answers

What is 7000 centimeters (cm) converted to in meters?

<p>70 meters (D)</p> Signup and view all the answers

Convert 6000 millimeters to meters.

<p>6 meters (A)</p> Signup and view all the answers

What is 4000 decimeters (dm) equal to in meters?

<p>400 meters (B)</p> Signup and view all the answers

How many meters is 5 hectometers (hm)?

<p>500 meters (B)</p> Signup and view all the answers

What is the equivalent of $\frac{1}{2}$ km in meters?

<p>500 meters (B)</p> Signup and view all the answers

Calculate: 8 km 3 hm + 6 km 5 hm

<p>14 km 8 hm (B)</p> Signup and view all the answers

What is the result when 4$\frac{1}{2}$ decameters converted to decimeters?

<p>45 decimeters (C)</p> Signup and view all the answers

If a container holds 3.75 litres, how many milliliters does it hold?

<p>3,750 ml (B)</p> Signup and view all the answers

A recipe requires 2,500 ml of water. How many litres of water are needed?

<p>2.5 litres (A)</p> Signup and view all the answers

A tank contains 7 litres of water. If 2,500 ml are removed, how much water remains in litres?

<p>4.5 litres (B)</p> Signup and view all the answers

A bottle contains $\frac{1}{4}$ of a liter of juice. How many milliliters of juice are in the bottle?

<p>250 ml (B)</p> Signup and view all the answers

You have two containers, one with 4.5 litres and another with 6,200 ml. What is the total volume in litres?

<p>10.7 litres (C)</p> Signup and view all the answers

In the subtraction process described, why is it necessary to convert 1 kg into grams when dealing with the grams column?

<p>Because the grams to be subtracted are more than the available grams. (A)</p> Signup and view all the answers

When subtracting measurements, what does it mean to 'take 1 t from the 6 t and convert it into kg'?

<p>It means reducing the total tons by 1 and converting it into an equivalent value in kilograms to aid subtraction. (D)</p> Signup and view all the answers

What is the correct procedure when the amount to be subtracted in a specific unit (grams, kilograms, or tons) is greater than the amount available in that unit?

<p>Borrow from the next higher unit by converting one unit into an equivalent value in the current unit. (B)</p> Signup and view all the answers

If you have 5 t, 200 kg, and 300 g and you need to subtract 2 t, 500 kg, and 400 g, what initial conversion is necessary?

<p>Convert 1 ton to kilograms. (C)</p> Signup and view all the answers

When subtracting 2 t 300 kg 750 g from 6 t 200 kg 550 g, which unit requires 'borrowing' or conversion from the next higher unit first?

<p>Grams (B)</p> Signup and view all the answers

What is the result of 6 t 220kg - 4 t 114kg?

<p>2 t 106 kg (D)</p> Signup and view all the answers

What process is involved when dealing with subtraction that involves different units like tons, kilograms and grams.

<p>Treat each unit separately by borrowing from higher units when necessary (B)</p> Signup and view all the answers

If you must subtract 13 t 220 kg from 15 t 620 kg, what is the appropiate process.?

<p>First subtract kilograms, borrowing a ton if needed, then subtract tons (A)</p> Signup and view all the answers

If a problem requires subtracting 200kg from 100kg, what is the first step to solve it?

<p>Borrow from a higher unit (D)</p> Signup and view all the answers

A truck contains 36 t 370 kg and unloads 13 t 250 kg what is the remaining weight?

<p>23 t 120 kg (C)</p> Signup and view all the answers

What is the sum of 3 km 6 hm and 5 km 7 hm, expressed in kilometers and hectometers?

<p>9 km 3 hm (A)</p> Signup and view all the answers

If you have 9 km 2 hm and you add 4 km 9 hm, what is the total distance in kilometers and hectometers?

<p>14 km 1 hm (C)</p> Signup and view all the answers

What is the result of adding 12 km 5 hm to 8 km 8 hm?

<p>21 km 3 hm (D)</p> Signup and view all the answers

You have two routes: one is 6 km 4 hm and the other is 7 km 8 hm. What is the total distance if you travel both routes?

<p>14 km 2 hm (C)</p> Signup and view all the answers

A race consists of two segments. The first is 10 km 3 hm, and the second is 5 km 9 hm. What is the total length of the race?

<p>16 km 2 hm (C)</p> Signup and view all the answers

What do you get when you combine 5 km 6 hm 2 dam and 8 km 7 hm 9 dam?

<p>14 km 4 hm 1 dam (D)</p> Signup and view all the answers

If you add 2 km 9 hm 5 dam with 4 km 3 hm 7 dam, what is the resulting measurement?

<p>7 km 3 hm 2 dam (A)</p> Signup and view all the answers

What is the sum of 8 km 3 hm 6 dam and 5 km 8 hm 5 dam?

<p>14 km 2 hm 1 dam (B)</p> Signup and view all the answers

What value do you get after summing 9 km 1 hm 4 dam and 3 km 9 hm 8 dam?

<p>13 km 1 hm 2 dam (C)</p> Signup and view all the answers

Determine the total distance when 11 km 2 hm 7 dam is added to 2 km 9 hm 4 dam.

<p>14 km 2 hm 1 dam (B)</p> Signup and view all the answers

What is the result of adding 2500 meters to 3.5 kilometers, expressed in kilometers?

<p>6 km (C)</p> Signup and view all the answers

If a path is constructed using 3 sections measuring 20 decameters, 0.25 kilometers, and 5000 centimeters, what is the total length of the path in meters?

<p>500 m (A)</p> Signup and view all the answers

A relay race is designed using segments of 1.5 km, 5 hm, and 25 dam. What is the total distance of relay race in kilometers?

<p>2.25 km (C)</p> Signup and view all the answers

An athlete runs 4 laps of a track. Each lap consists of 200 meters, plus a final stretch of 0.1 kilometers long. How far does the athlete run in total, expressed in kilometers?

<p>1.2 km (D)</p> Signup and view all the answers

How many decimeters (dm) are equivalent to 7500 millimeters (mm)?

<p>75 dm (B)</p> Signup and view all the answers

If you have a length of fabric that measures 3.5 meters, how many pieces can you cut from it if each piece needs to be 70 centimeters long?

<p>5 (D)</p> Signup and view all the answers

A road is measured in two segments: The first segment is 7 kilometers long, and the second segment is 4500 meters long. What is the total length of the road in kilometers?

<p>11.5 km (D)</p> Signup and view all the answers

What is the result of subtracting 45 l 160 ml from 80 l 370 ml?

<p>35 l 210 ml (A)</p> Signup and view all the answers

If you subtract 10 l 370 ml from 15 l 350 ml, what is the resulting volume?

<p>4 l 980 ml (C)</p> Signup and view all the answers

What would the volume be in litres and milliliters if you subtract 300 l 250 ml from 500 l 50 ml?

<p>199 l 800 ml (B)</p> Signup and view all the answers

A container holds 45 l 513 ml of liquid. After removing 16 l 701 ml, how much liquid remains in the container?

<p>28 l 188 ml (C)</p> Signup and view all the answers

What is the resultant volume when 37 l 541 ml is subtracted from 72 l 490 ml?

<p>34 l 949 ml (B)</p> Signup and view all the answers

What is the sum of 3 km 5 hm and 6 km 7 hm?

<p>10 km 2 hm (B)</p> Signup and view all the answers

If you have 9 km 2 hm and you subtract 4 km 6 hm, what is the result?

<p>4 km 6 hm (D)</p> Signup and view all the answers

Calculate: 5 km 3 hm + 2 km 9 hm - 1 km 5 hm

<p>6 km 7 hm (D)</p> Signup and view all the answers

What is the total length if you combine 2 km 5 hm, 3 km 8 hm, and 1 km 7 hm?

<p>8 km (A)</p> Signup and view all the answers

A road measures 15 km. If 8 km 6 hm is paved, how much of the road remains unpaved?

<p>6 km 4 hm (D)</p> Signup and view all the answers

If a race covers 25 km, and a runner has completed 18 km 7 hm, how much further does the runner need to go?

<p>6 km 3 hm (C)</p> Signup and view all the answers

What is the result of subtracting 3 km 8 hm from the sum of 5 km 2 hm and 2 km 9 hm?

<p>4 km 3 hm (D)</p> Signup and view all the answers

A hiking trail is 10 km long. If hikers walk 2 km 4 hm on the first day and 3 km 8 hm on the second day, how much of the trail is left to hike?

<p>3 km 8 hm (C)</p> Signup and view all the answers

A farmer owns two adjacent fields. One is 3 km 7 hm wide, and the other is 2 km 5 hm wide. What is the total width of the two fields combined?

<p>6 km 2 hm (B)</p> Signup and view all the answers

How many kilograms are there in 3500 grams?

<p>3.5 kg (C)</p> Signup and view all the answers

How many milligrams are there in 6 grams?

<p>6,000 mg (B)</p> Signup and view all the answers

How many milligrams are there in $1\frac{1}{2}$ grams?

<p>1,500 mg (D)</p> Signup and view all the answers

What is the result of adding 500,000 mg to 200,000 mg and expressing the result in grams?

<p>700 g (A)</p> Signup and view all the answers

Convert 6 tons into kilograms, knowing that 1 ton is approximately 1000 kilograms.

<p>6,000 kg (A)</p> Signup and view all the answers

If one bag of rice weighs 4 kg and another weighs 225 g, and you combine them, what is the total weight in grams?

<p>4,225 g (A)</p> Signup and view all the answers

A baker uses 4250 mg of vanilla extract in one cake. How many grams of vanilla extract does he use?

<p>4.25 g (B)</p> Signup and view all the answers

You have 7500 grams of sugar. How many kilograms of sugar do you have?

<p>7.5 kg (B)</p> Signup and view all the answers

What is the result of adding 6.750 kg and 5.250 kg?

<p>12.000 kg (B)</p> Signup and view all the answers

If you add 6,523 g and 9,874 g, what is the total weight in grams?

<p>15,397 g (A)</p> Signup and view all the answers

What is the combined weight when you add 6.345 t and 6.820 t?

<p>13.165 t (C)</p> Signup and view all the answers

Calculate the sum of 4.75 kg and 8.25 kg.

<p>13.00 kg (A)</p> Signup and view all the answers

What is the sum of 2,175 g and 3,945 g?

<p>6,120 g (D)</p> Signup and view all the answers

What is the result of adding 19.375 hg and 14.765 hg?

<p>34.140 hg (B)</p> Signup and view all the answers

Adding 4.500 t and 7.660 t results in what total weight?

<p>12.160 t (D)</p> Signup and view all the answers

What is the sum of 3.800 kg and 3.434 kg?

<p>7.234 kg (B)</p> Signup and view all the answers

Determine the total weight when 3.460 kg is added to 1.630 kg.

<p>5.090 kg (B)</p> Signup and view all the answers

Calculate the sum of 6,200 mg and 3,450 mg.

<p>9,650 mg (D)</p> Signup and view all the answers

If 1 ton is approximately 1000 kilograms, how many kilograms are there in $4\frac{1}{2}$ tons?

<p>4500 kg (A)</p> Signup and view all the answers

If 1 gram is equal to 1000 milligrams, how many grams are in 4,250 milligrams?

<p>4.25 grams (C)</p> Signup and view all the answers

How many kilograms are there in 3,500 grams if 1 kilogram is equal to 1000 grams?

<p>3.5 kg (C)</p> Signup and view all the answers

If there are 1000 milligrams in 1 gram, how many milligrams are there in $1\frac{1}{2}$ grams?

<p>1500 milligrams (A)</p> Signup and view all the answers

What is the total mass, in grams and milligrams, when you add 2 grams and 345 milligrams to 5 grams and 123 milligrams?

<p>7 grams and 468 milligrams (B)</p> Signup and view all the answers

What is the equivalent of 7,500 kg in tons?

<p>7.5 tons (B)</p> Signup and view all the answers

Convert 3.7 tons into kilograms.

<p>3,700 kg (C)</p> Signup and view all the answers

If a table showed the relationship between metric units of weight instead of length, which unit would likely replace 'millimeter' as the smallest unit?

<p>Milligram (D)</p> Signup and view all the answers

How many kilograms are equivalent to 9,000,000 milligrams?

<p>9 kg (B)</p> Signup and view all the answers

What is 900 grams expressed in kilograms?

<p>0.9 kg (C)</p> Signup and view all the answers

A scientist measures a plant's growth each week. Which unit of length would be most appropriate for recording the plant's height?

<p>Centimeters (C)</p> Signup and view all the answers

If you need to convert 5 meters into millimeters, what operation should you perform and what is the result?

<p>Multiplication by 1000; 5000 mm (D)</p> Signup and view all the answers

A truck is carrying 2.5 tons of goods. What is the weight of the goods in kilograms?

<p>2,500 kg (B)</p> Signup and view all the answers

How does converting large metric units to smaller units differ from converting small metric units to larger units?

<p>Large to small involves multiplication, small to large involves division. (B)</p> Signup and view all the answers

A bag contains 3,500,000 milligrams of sugar. How much sugar is this in kilograms?

<p>3.5 kg (C)</p> Signup and view all the answers

If a road sign displays a distance of 2 kilometers, what is this distance in decimeters?

<p>200,000 decimeters (A)</p> Signup and view all the answers

Which conversion factor is needed to convert hectometers (hm) to centimeters (cm)?

<p>Multiply by 100,000 (C)</p> Signup and view all the answers

How many tons are equivalent to 1500 kilograms?

<p>1.5 tons (A)</p> Signup and view all the answers

A park is 3 decameters long. A gardener wants to plant a tree every 200 centimeters along its length. How many trees can the gardener plant?

<p>15 (A)</p> Signup and view all the answers

What is 250,000 milligrams expressed in kilograms?

<p>0.25 kg (D)</p> Signup and view all the answers

A container holds 0.008 tons of liquid. What is the volume of liquid in kilograms?

<p>8 kg (A)</p> Signup and view all the answers

What conversion is necessary when the sum of hectometers exceeds 9 in addition problems involving kilometers and hectometers?

<p>Convert hectometers to kilometers. (C)</p> Signup and view all the answers

In the addition of metric measurements, if millimeters are added and their sum exceeds 9, what should be done?

<p>Convert millimeters to centimeters. (B)</p> Signup and view all the answers

When adding metric units, such as kilometers, hectometers, and decameters, how does carrying over work when one unit exceeds its maximum value (e.g., 10 hectometers)?

<p>Carry over to the next largest unit. (A)</p> Signup and view all the answers

What is the sum of 5 cm 8 mm and 2 cm 6 mm?

<p>8 cm 4 mm (C)</p> Signup and view all the answers

If you have 5 km 3 hm and you add 3 km 8 hm, what is the total?

<p>9 km 1 hm (D)</p> Signup and view all the answers

In the subtraction example provided, why is it necessary to take 1 m from the 160 m?

<p>To have enough centimetres to subtract from 55 cm. (D)</p> Signup and view all the answers

After taking 1 km from the 10 km and converting it to meters, what calculation is performed to get the new meter value before subtraction?

<p>1000 m + 159 m (D)</p> Signup and view all the answers

Based on the subtraction process described, what is the correct order of steps?

<p>Subtract centimetres, subtract metres, subtract kilometres. (C)</p> Signup and view all the answers

In the example, what conversion factor is used when borrowing 1 km for subtraction?

<p>1 km = 1000 m (A)</p> Signup and view all the answers

What is the significance of checking if there are sufficient centimetres or metres before subtracting in the given method?

<p>It determines whether borrowing (conversion) is necessary. (B)</p> Signup and view all the answers

Solve: 26 km 580 m - 12 km 870 m

<p>13 km 710 m (C)</p> Signup and view all the answers

Solve: 27 km 240 m 64 cm - 14 km 860 m 95 cm

<p>13 km 379 m 69 cm (B)</p> Signup and view all the answers

Solve: 12 m 30 cm - 4 m 35 cm

<p>7 m 95 cm (C)</p> Signup and view all the answers

If you have 7 km 200 m 45 cm and you subtract 3 km 500 m 50 cm, which unit(s) will require 'borrowing'?

<p>Both centimetres and metres (D)</p> Signup and view all the answers

In subtracting measurements, if the value in the 'cm' column of the minuend (the number you're subtracting from) is smaller than the value in the 'cm' column of the subtrahend (the number you're subtracting), what should you do?

<p>Borrow 1 meter from the meter column, convert it to centimetres, and add it to the existing 'cm' value. (B)</p> Signup and view all the answers

100 centimeters is equal to 1 decimeter.

<p>False (B)</p> Signup and view all the answers

Metric units of mass include tons, kilograms, and hectares.

<p>False (B)</p> Signup and view all the answers

Kilograms (kg) are a metric unit of mass.

<p>True (A)</p> Signup and view all the answers

1000 meters is equal to 1 kilometer.

<p>True (A)</p> Signup and view all the answers

Hectograms (hg) are smaller than decagrams (dag).

<p>False (B)</p> Signup and view all the answers

Metric units of length can be subtracted only if they have the same unit.

<p>True (A)</p> Signup and view all the answers

Millimeters (mm) are larger than centimeters (cm).

<p>False (B)</p> Signup and view all the answers

Centigrams (cg) are a metric unit of mass.

<p>True (A)</p> Signup and view all the answers

Different metric units of area can always be subtracted directly without any conversion.

<p>False (B)</p> Signup and view all the answers

When subtracting $4$ m $45$ cm $-$ $2$ m $20$ cm, the first step is to subtract the metres.

<p>False (B)</p> Signup and view all the answers

A decagram is ten grams.

<p>True (A)</p> Signup and view all the answers

When subtracting metric lengths, you always subtract the smaller unit (e.g., cm) before the larger unit (e.g., m).

<p>True (A)</p> Signup and view all the answers

The result of $4$ m $45$ cm $-$ $2$ m $20$ cm is $2$ m $25$ cm.

<p>True (A)</p> Signup and view all the answers

When subtracting $10$ km $160$ m $55$ cm $-$ $4$ km $580$ m $76$ cm, no borrowing is required.

<p>False (B)</p> Signup and view all the answers

1 kg is equal to 1000 g

<p>True (A)</p> Signup and view all the answers

1 tonne (t) is equal to 100 kg

<p>False (B)</p> Signup and view all the answers

It is impossible to subtract $76$ cm from $55$ cm without converting to a smaller unit.

<p>False (B)</p> Signup and view all the answers

A milligram (mg) is a smaller unit of mass than a gram (g).

<p>True (A)</p> Signup and view all the answers

1 dag is equal to 10 grams.

<p>True (A)</p> Signup and view all the answers

There are 1000 milligrams (mg) in a gram (g).

<p>True (A)</p> Signup and view all the answers

A centigram (cg) is larger than a gram (g).

<p>False (B)</p> Signup and view all the answers

A decigram (dg) is equal to 10 grams.

<p>False (B)</p> Signup and view all the answers

1000 kilograms equals a metric ton.

<p>True (A)</p> Signup and view all the answers

There are 100 cg in a kg.

<p>False (B)</p> Signup and view all the answers

1 litre is equal to 100 millilitres.

<p>False (B)</p> Signup and view all the answers

There are 9,000 millilitres in 9 litres.

<p>True (A)</p> Signup and view all the answers

To convert litres to millilitres, you divide by 1000.

<p>False (B)</p> Signup and view all the answers

There are more millilitres than litres in the same quantity.

<p>True (A)</p> Signup and view all the answers

$6\frac{1}{2}$ litres is equal to 6,500 millilitres.

<p>True (A)</p> Signup and view all the answers

Half a litre is equal to 200 ml.

<p>False (B)</p> Signup and view all the answers

The abbreviation for millilitres is 'lt'.

<p>False (B)</p> Signup and view all the answers

1,500 ml is the same as 1.5 litres.

<p>True (A)</p> Signup and view all the answers

There are 100 ml in a litre.

<p>False (B)</p> Signup and view all the answers

When subtracting volumes, you always subtract milliliters before liters.

<p>True (A)</p> Signup and view all the answers

The result of 80 l 370 ml – 45 l 160 ml is 35 l 530 ml.

<p>False (B)</p> Signup and view all the answers

The result of 15 l 350 ml – 10 l 370 ml is 4 l 980 ml

<p>True (A)</p> Signup and view all the answers

When subtracting, you should always start with the largest unit first.

<p>False (B)</p> Signup and view all the answers

The value of $500 l 50 ml - 300 l 250 ml$ is equal to $200 l 200 ml$.

<p>False (B)</p> Signup and view all the answers

The smallest metric unit of length is the megametre.

<p>False (B)</p> Signup and view all the answers

There are seven common metric units of length.

<p>True (A)</p> Signup and view all the answers

The basic metric unit of volume is the milliliter.

<p>False (B)</p> Signup and view all the answers

1 decimetre is equal to 10 centimetres.

<p>True (A)</p> Signup and view all the answers

To convert from metres to kilometres, you should multiply.

<p>False (B)</p> Signup and view all the answers

Converting liters to milliliters involves multiplication.

<p>True (A)</p> Signup and view all the answers

1 decametre is equal to 10 metres.

<p>True (A)</p> Signup and view all the answers

Volume can be measured using metric units.

<p>True (A)</p> Signup and view all the answers

Converting large metric units into small metric units involves division.

<p>False (B)</p> Signup and view all the answers

Converting milliliters to liters involves multiplication.

<p>False (B)</p> Signup and view all the answers

3250 meters is equal to $3\frac{1}{4}$ kilometers.

<p>True (A)</p> Signup and view all the answers

Converting kilometers to meters involves multiplying by 100.

<p>False (B)</p> Signup and view all the answers

There are 10 decimeters in a meter.

<p>True (A)</p> Signup and view all the answers

12000 decimeters is equivalent to 12 kilometers.

<p>True (A)</p> Signup and view all the answers

Converting from meters to kilometers requires multiplication.

<p>False (B)</p> Signup and view all the answers

A decameter (dam) is equal to 10 meters.

<p>True (A)</p> Signup and view all the answers

9000 hectometers is equal to 90 kilometers.

<p>False (B)</p> Signup and view all the answers

To convert from centimeters to meters, you multiply by 100.

<p>False (B)</p> Signup and view all the answers

1 kilogram is equal to 100 grams.

<p>False (B)</p> Signup and view all the answers

When subtracting measurements, you should always start with the smallest unit.

<p>True (A)</p> Signup and view all the answers

1 ton is equal to 100 kilograms.

<p>False (B)</p> Signup and view all the answers

If you don't have enough of a unit to subtract, you can borrow from the next largest unit.

<p>True (A)</p> Signup and view all the answers

When you borrow 1 kilogram, you are really borrowing 100 grams.

<p>False (B)</p> Signup and view all the answers

The abbreviation for kilograms is gr.

<p>False (B)</p> Signup and view all the answers

Subtraction of measurement is similar to normal subtraction.

<p>True (A)</p> Signup and view all the answers

700 grams plus 300 grams is equal to 2 kilogram.

<p>False (B)</p> Signup and view all the answers

The abbreviation for ton is tn.

<p>False (B)</p> Signup and view all the answers

When subtracting, if the top number is smaller than bottom, borrowing is not needed.

<p>False (B)</p> Signup and view all the answers

When adding masses, you should add grams to kilograms.

<p>False (B)</p> Signup and view all the answers

When adding $4 \text{ g } 225 \text{ mg}$ and $4 \text{ g } 370 \text{ mg}$, the total is $8 \text{ g } 595 \text{ mg}$.

<p>True (A)</p> Signup and view all the answers

When adding $4 \text{ t } 450 \text{ kg}$ and $3 \text{ t } 350 \text{ kg}$, the total is $7 \text{ t } 900 \text{ kg}$.

<p>False (B)</p> Signup and view all the answers

When adding $10 \text{ t } 470 \text{ kg}$ and $17 \text{ t } 475 \text{ kg}$, the total is $27 \text{ t } 945 \text{ kg}$.

<p>True (A)</p> Signup and view all the answers

To find the sum of two measurements, you subtract them.

<p>False (B)</p> Signup and view all the answers

The sum of $1 \text{ g } 100 \text{ mg}$ and $1 \text{ g } 200 \text{ mg}$ is $2 \text{ g } 300 \text{ mg}$.

<p>True (A)</p> Signup and view all the answers

Adding $5 \text{ t } 0 \text{ kg}$ and $2 \text{ t } 500 \text{ kg}$ results in $8 \text{ t } 500 \text{ kg}$.

<p>False (B)</p> Signup and view all the answers

When reporting a measurement you must always include the units.

<p>True (A)</p> Signup and view all the answers

To convert 12 litres to millilitres, you should multiply 12 by 100.

<p>False (B)</p> Signup and view all the answers

There are 7,500 ml in 7.5 litres.

<p>True (A)</p> Signup and view all the answers

Converting 6 tons to kilograms involves multiplying 6 by 1,000, resulting in 6,000 kg.

<p>False (B)</p> Signup and view all the answers

If 1 litre equals 1000 ml, then $\frac{1}{4}$ of a litre is equal to 200 ml.

<p>False (B)</p> Signup and view all the answers

8,000 millilitres is the same as 8 litres.

<p>True (A)</p> Signup and view all the answers

To convert 15 tons into kilograms, you should multiply 15 by 2,000.

<p>False (B)</p> Signup and view all the answers

4 and a half tons equals 4,500 kilograms.

<p>True (A)</p> Signup and view all the answers

To find how many millilitres are in $2\frac{1}{2}$ litres, you should only multiply 2 by 1000.

<p>False (B)</p> Signup and view all the answers

To convert 4250 milligrams to grams, you divide by 100.

<p>False (B)</p> Signup and view all the answers

Converting from hectometers to meters involves division.

<p>False (B)</p> Signup and view all the answers

500,000 milligrams is equal to 500 grams.

<p>True (A)</p> Signup and view all the answers

One kilometer is equivalent to one million millimeters.

<p>True (A)</p> Signup and view all the answers

200,000 milligrams is equivalent to 2 kilograms.

<p>False (B)</p> Signup and view all the answers

180 grams is equal to 0.18 kilograms.

<p>True (A)</p> Signup and view all the answers

Converting 500 cm to meters involves dividing 500 by 10.

<p>False (B)</p> Signup and view all the answers

3,500 grams equals 35 kilograms.

<p>False (B)</p> Signup and view all the answers

A decameter is ten times larger than a meter.

<p>True (A)</p> Signup and view all the answers

7,500 grams is equivalent to 7.5 kilograms.

<p>True (A)</p> Signup and view all the answers

If a table is 2000 millimeters long, it is also exactly 2 meters long.

<p>True (A)</p> Signup and view all the answers

1 and a half grams is equal to 1,500 milligrams.

<p>True (A)</p> Signup and view all the answers

There are exactly 100 decimeters in one hectometer.

<p>False (B)</p> Signup and view all the answers

To convert 3 kilometers to decameters, you would multiply 3 by 100.

<p>True (A)</p> Signup and view all the answers

When subtracting metric units of mass, one should begin with the largest unit and then proceed to the smallest.

<p>False (B)</p> Signup and view all the answers

When subtracting $7 \text{ kg } 420 \text{ g}$ from $12 \text{ kg } 740 \text{ g}$, the result is $5 \text{ kg } 320 \text{ g}$.

<p>True (A)</p> Signup and view all the answers

In metric subtraction, if a smaller unit's value is insufficient for subtraction, you must convert from the next larger unit.

<p>True (A)</p> Signup and view all the answers

Subtracting $2 \text{ t } 300 \text{ kg } 750 \text{ g}$ from $6 \text{ t } 200 \text{ kg } 550 \text{ g}$ requires converting kilograms to grams.

<p>False (B)</p> Signup and view all the answers

When subtracting masses, converting tons to grams is necessary before tons to kilograms.

<p>False (B)</p> Signup and view all the answers

When subtracting $500 \text{ g}$ from $1 \text{ kg}$, the correct answer is $500 \text{ g}$

<p>True (A)</p> Signup and view all the answers

Subtracting metric units of mass is different from subtracting decimal numbers because metric units require conversions based on fixed ratios.

<p>True (A)</p> Signup and view all the answers

If a problem involves subtracting $250 \text{ g}$ from $1 \text{ kg } 100 \text{ g}$, converting kilograms to grams is an optional step.

<p>False (B)</p> Signup and view all the answers

When subtracting $750 \text{ g}$ from $1 \text{ kg}$, the result is $350 \text{ g}$

<p>False (B)</p> Signup and view all the answers

When subtracting lengths, it is always necessary to convert to the smallest unit present before performing the subtraction.

<p>False (B)</p> Signup and view all the answers

Borrowing $1 \text{ kg}$ during subtraction is the same as adding $100 \text{ g}$ to the next column.

<p>False (B)</p> Signup and view all the answers

To convert from kilometers to meters, you should multiply by 100, and to convert from meters to kilometers, you divide by 1,000.

<p>False (B)</p> Signup and view all the answers

If a problem involves subtracting 5 km 700 m from 9 km 400 m, you must rename 9 km 400 m as 8 km 1400 m before subtracting.

<p>True (A)</p> Signup and view all the answers

75 dm 2 mm can be correctly expressed as 752 mm.

<p>False (B)</p> Signup and view all the answers

When subtracting 10 km 3 dam 5 cm from 17 km 6 dam 6 cm, no conversion or renaming of units is required because each digit in the minuend is larger than the corresponding digit in the subtrahend.

<p>False (B)</p> Signup and view all the answers

When dealing with metric units of mass, a hectogram (hg) is equivalent to 100 grams (g), and a decagram (dag) is equivalent to 10 grams (g). Therefore, 5 hg is always more in weight than 60 dag.

<p>False (B)</p> Signup and view all the answers

To convert kilometers and meters into meters, you add the number of kilometers to the number of meters.

<p>False (B)</p> Signup and view all the answers

The units 'tons', 'kilograms', and 'grams' can be used to measure the volume of an object.

<p>False (B)</p> Signup and view all the answers

The correct equivalent of 9 km 400 m, when expressed entirely in meters, is 940 m.

<p>False (B)</p> Signup and view all the answers

Which of the following represents 'Two thousand two hundred and fifty shillings and fifty cents' in short form?

<p>sh 2250.50 (A)</p> Signup and view all the answers

If you have 'sh 55000.85', which of the following expresses the value of money in words?

<p>Fifty-five thousand shillings and eighty-five cents (D)</p> Signup and view all the answers

How many 10-cent coins are needed to make 5 shillings?

<p>50 (A)</p> Signup and view all the answers

What is the total value in shillings of 30 coins, each worth 10 cents?

<p>sh 3 (C)</p> Signup and view all the answers

Rozi earns a monthly salary of 315,000 shillings and 80 cents. How is this amount correctly written in short form?

<p>sh 315000.80 (C)</p> Signup and view all the answers

If you have 999,800 shillings and 90 cents, which of the following is the correct short form?

<p>sh 999800.90 (C)</p> Signup and view all the answers

If you have 50 shillings and 60 cents expressed in short form, how would you read this amount in words?

<p>Fifty shillings and sixty cents (D)</p> Signup and view all the answers

Joseph initially had sh 350,000 and spent sh 127,500. If he decides to split the remaining money equally with a friend and deposit his share into a new bank account, how much money does he deposit?

<p>sh 111,250 (C)</p> Signup and view all the answers

Bahati bought 3 bed sheets, 2 shirts, 4 plates, and 5 bowls. If she paid with three 10,000 shilling notes, how much change did she receive?

<p>sh 2,500 (B)</p> Signup and view all the answers

Kalista bought 3 pairs of shoes, 3 pairs of khanga, 2 mobile phone batteries, and 4 wrist watches. If she decides to return one pair of shoes and one wrist watch, how much money would she get back?

<p>sh 28,500 (A)</p> Signup and view all the answers

A fruit vendor sold 285 mangoes for sh 119,913.75. If the vendor decides to sell 150 mangoes the next day while increasing each mango's price by sh 15.00, what would be the total revenue from the mango sale that day?

<p>sh 69,075 (B)</p> Signup and view all the answers

A group of 72 friends divided sh 174,499.20 equally. If each friend then spent half of their share and combined the remaining money, how much money would they have in total?

<p>sh 87,249.60 (C)</p> Signup and view all the answers

If you divide 20 shillings and 80 cents by 4, how many shillings and cents do you get?

<p>sh 5.20 (A)</p> Signup and view all the answers

A group of friends equally share sh 30 and 60 cents. If each friend receives sh 10 and 20 cents, how many friends are in the group?

<p>3 (C)</p> Signup and view all the answers

If sh 45 and 90 cents is divided equally among 9 people, how much money does each person receive?

<p>sh 5.10 (B)</p> Signup and view all the answers

If you divide sh 100 and 50 cents by 5, and then subtract sh 8, how much money do you have left?

<p>sh 12.10 (D)</p> Signup and view all the answers

What is the result of dividing sh 75 and 50 cents by 5, and then multiplying the result by 2?

<p>sh 30.20 (B)</p> Signup and view all the answers

If sh 120 and 60 cents is divided by a certain number and the result is sh 40 and 20 cents, what is that number?

<p>3 (B)</p> Signup and view all the answers

If you have sh 50 and you spend sh 20 and 50 cents, then divide the remainder between 3 people, how much does each person get?

<p>sh 9.83 (A)</p> Signup and view all the answers

If sh 90 and 30 cents is divided into portions of sh 30 and 10 cents each, how many portions are there?

<p>3 (C)</p> Signup and view all the answers

What would be the result if sh 21 and 30 cents was divided by 3 and then doubled?

<p>sh 14.20 (C)</p> Signup and view all the answers

If a total of sh 60 and 90 cents are shared equally among a group of 6 people, how much does each person receive?

<p>sh 10.15 (A)</p> Signup and view all the answers

If you have sh 4596 and 65 cts and you add sh 3987 and 75 cts, how many shillings do you have before carrying over?

<p>8584 (A)</p> Signup and view all the answers

When adding sh 105,001.80 and sh 794,999.45, what is the total amount in shillings and cents?

<p>sh 900,001.25 (B)</p> Signup and view all the answers

What is the sum of sh 432,456.10 and sh 463,367.65?

<p>sh 895,823.75 (A)</p> Signup and view all the answers

When adding two amounts of money, if the total cents exceed 100, what is the correct procedure?

<p>Subtract 100 from the total cents, add 1 to the shillings, and write the remaining cents in the cents column. (C)</p> Signup and view all the answers

What is the result of adding sh 625,445.50 and sh 357,223.85?

<p>sh 982,669.35 (A)</p> Signup and view all the answers

In the context of adding money amounts, why is it important to convert cents to shillings when the cents value exceeds 99?

<p>To conform to the standard monetary system where 100 cents equals one shilling. (C)</p> Signup and view all the answers

You have sh 863,435.10 and you add sh 28,375.65. How much do you have in total?

<p>sh 891,810.75 (A)</p> Signup and view all the answers

If you are adding sh 4580 and 75 cts to sh 2320 and 50 cts, what is the total amount in shillings and cents?

<p>sh 6901 and 25 cts (B)</p> Signup and view all the answers

If someone adds shillings and gets sh 8584 and 100 cents, what is the correct way to represent that?

<p>sh 8585 and 0 cts (B)</p> Signup and view all the answers

A shopkeeper adds the following amounts: sh 1250.50, sh 375.75, and sh 500.25. What is the total sum?

<p>sh 2126.50 (B)</p> Signup and view all the answers

When adding two amounts in shillings and cents, what should you do if the total cents exceed 99?

<p>Convert 100 cents to 1 shilling and add it to the total shillings. (D)</p> Signup and view all the answers

You have sh 5678 and 90 cts and need to add sh 2345 and 20 cts. After adding, you decide to round the total amount to the nearest shilling. What is the rounded amount?

<p>sh 8024 (D)</p> Signup and view all the answers

You are adding sh 123,456.78 and sh 765,432.22. What is the total number of cents before any conversion to shillings?

<p>100 cents (D)</p> Signup and view all the answers

What is the sum of sh 645,489.15 and sh 351,432.45?

<p>sh 996,921.60 (A)</p> Signup and view all the answers

Consider the task of summing two distinct monetary values expressed in shillings and cents. What is the most important initial step to ensure accuracy?

<p>Ensure that the decimal points in both values are properly aligned. (C)</p> Signup and view all the answers

Which of the following is the correct way to add sh 500,000.50 and sh 250,000.50

<p>500,000 + 250,000 = 750,000 and 50 + 50 = 100, so sh 750,001.00 (B)</p> Signup and view all the answers

Imagine you're adding several amounts of money, and you notice that the sum of the 'cents' column is significantly over 100 (e.g., 350 cents). What's the most efficient way to handle this?

<p>Divide the total cents by 100 to find the number of shillings to carry over, and record the remaining cents. (C)</p> Signup and view all the answers

When adding amounts in shillings and cents, what does adding '1' to the shillings column typically represent, in the context of carrying over?

<p>An addition of 100 cents, converted into 1 shilling. (B)</p> Signup and view all the answers

If you are adding multiple purchases at a store and the subtotal is sh 7549.85, and you then add sh 450.50 for tax, how would you accurately calculate the final total?

<p>sh 7999.35; by correctly aligning and adding the shillings and cents. (B)</p> Signup and view all the answers

Which of the following represents 'Two hundred shillings and twenty five cents' in short form?

<p>sh 200.25 (D)</p> Signup and view all the answers

How would you write 'Fifty five thousand shillings and eighty five cents' in short form?

<p>sh 55,000.85 (C)</p> Signup and view all the answers

Joseph initially had sh 350,000 and spent sh 127,500. If he decides to invest half of the remaining money and saves the rest, how much money does Joseph save?

<p>sh 111,250 (D)</p> Signup and view all the answers

If you have 'Nine hundred and ninety nine thousand, eight hundred shillings and ninety cents,' what is this amount in short form?

<p>sh 999,800.90 (A)</p> Signup and view all the answers

Bahati bought 3 bed sheets @ sh 5,000, 2 shirts @ sh 3,000, and some plates @ sh 1,000 each. If she paid a total of sh 25,000, how many plates did she buy?

<p>2 (B)</p> Signup and view all the answers

What is the total amount in shillings if you have 30 coins each worth 10 cents?

<p>sh 3 (B)</p> Signup and view all the answers

Kalista bought 3 pairs of shoes @ sh 13,500 and 3 pairs of khanga @ sh 9,000. If she pays with sh 100,000, how much change will she receive?

<p>sh 59,500 (C)</p> Signup and view all the answers

A fruit vendor sold 285 mangoes for sh 119,913.75. If the vendor decides to sell each mango for sh 500 in the next sale, how much more money would the vendor make if they sold the same number of mangoes?

<p>sh 22,586.25 (A)</p> Signup and view all the answers

Rozi earns a monthly salary of 315,000 shillings and 80 cents. How is this salary expressed in short form?

<p>sh 315,000.80 (C)</p> Signup and view all the answers

A group of 72 friends divided sh 174,499.20 equally. If each friend then spent sh 1,500, how much money would each friend have remaining?

<p>sh 924.16 (A)</p> Signup and view all the answers

You have eighty five cents. What is the short form?

<p>sh 0.85 (D)</p> Signup and view all the answers

How is 'Six hundred and forty shillings and five cents' written in short form?

<p>sh 640.05 (A)</p> Signup and view all the answers

Write 'One shilling and fifty cents' in short form.

<p>sh 1.50 (D)</p> Signup and view all the answers

How is 'Fifty shillings and sixty cents' represented in short form?

<p>sh 50.60 (B)</p> Signup and view all the answers

If you have 3 shillings, how many 50 cents coins would you need to equal that amount?

<p>6 (C)</p> Signup and view all the answers

A vendor sells an item for sh 250 and 75 cts. If a customer pays with sh 300, how much change should the customer receive?

<p>sh 49 and 25 cts (B)</p> Signup and view all the answers

If you have sh 10, how many items can you buy if each item costs 50 cts?

<p>20 (A)</p> Signup and view all the answers

What is the total value, in shillings, of 5 coins each worth 50 cents and 3 coins each worth 1 shilling?

<p>sh 5.50 (D)</p> Signup and view all the answers

A shopkeeper has 20 notes of sh 50 and 30 coins of 50 cts. What is the total amount of money the shopkeeper has?

<p>sh 1150 (D)</p> Signup and view all the answers

If an item is priced at sh 75 and 50 cts, and you pay with a sh 100 note, how much change will you receive?

<p>sh 24 and 50 cts (C)</p> Signup and view all the answers

How many shillings are equal to 450 cents?

<p>sh 4.50 (D)</p> Signup and view all the answers

Juhudi initially had 350 shillings. After receiving 1,000 shillings from his teacher and 1,700 shillings from his mother, which expression represents the total amount of money Juhudi had?

<p>$350 + 1000 + 1700$ (D)</p> Signup and view all the answers

If you have 700 cents, which of the following represents this amount in shillings?

<p>sh 7 (B)</p> Signup and view all the answers

If a bus with 32 passengers charges 450 shillings per passenger, which calculation determines the total amount of money collected?

<p>$450 \times 32$ (D)</p> Signup and view all the answers

A student has sh 5 and 50 cts. They spend 200 cts. How much money do they have left?

<p>sh 3.50 (A)</p> Signup and view all the answers

A shopkeeper receives a 10,000 shillings note for a book costing 6,500 shillings and 10 notebooks costing 250 shillings each. What is the first step to calculate the change the shopkeeper should give?

<p>Multiply 10 by 250. (C)</p> Signup and view all the answers

A head teacher bought a book for 6,500 shillings and 10 notebooks for 250 shillings each. If he paid with a 10,000 shillings note, which expression calculates the change he received?

<p>$10,000 - [6,500 + (10 \times 250)]$ (C)</p> Signup and view all the answers

You are given three amounts of money: 1,390 shillings, 575 shillings, and 6,750 shillings. What is the most efficient method to add these amounts together?

<p>Add 1,390 and 6,750 first, then add 575 to the result. (D)</p> Signup and view all the answers

If a store sells notebooks for 250 shillings each, and you want to buy a certain number of notebooks, under what circumstances is it best to estimate the product?

<p>When the exact number of notebooks is unknown. (D)</p> Signup and view all the answers

How does understanding place value assist in performing addition with Tanzanian currency, which includes shillings?

<p>It helps in properly aligning shillings and any decimal parts for accurate totaling. (D)</p> Signup and view all the answers

In problem 10, what would be the estimated value, after rounding to the nearest 10 shillings, for the initial amount before subtraction?

<p>510 shillings (C)</p> Signup and view all the answers

In problem 15, suppose the result was doubled. What would be the new amount in shillings and cents?

<p>1,068,660 shillings and 30 cents (A)</p> Signup and view all the answers

Looking at problem 11, if both the initial amount and the subtracted amount were rounded to the nearest shilling, what would be the difference between the actual answer and the estimated answer?

<p>The estimated answer would be the same as the actual answer (B)</p> Signup and view all the answers

What is the sum of all the 'cts' values (cents) listed in problems 10, 11, and 12?

<p>155 cts (D)</p> Signup and view all the answers

If the subtrahend in problem 17 (212 157.60) was rounded to the nearest thousand shillings before performing the subtraction, what would be the rounded amount?

<p>212,000 shillings (A)</p> Signup and view all the answers

In problem 14, what is the result if both the initial amount and the subtracted amount are approximated to the nearest thousand shillings before performing the subtraction?

<p>393,000 shillings 00 cents (A)</p> Signup and view all the answers

In problem 19, what would be the result if the amount subtracted was doubled before performing the original subtraction?

<p>830,106 shillings and 25 cents (C)</p> Signup and view all the answers

In problem 16, if you round the initial amount (611 180.50) to the nearest hundred shillings, what would the rounded value be?

<p>611,200 shillings (C)</p> Signup and view all the answers

In problem 13, if 1,000 shillings was added to both initial and amounts being subtracted, what would the new result be?

<p>3,184 shillings and 55 cents (B)</p> Signup and view all the answers

Considering problems 10 and 16, which of the following statements is correct, regarding the combined initial amounts before subtraction?

<p>Both numbers will add up to over 1 100 (A)</p> Signup and view all the answers

The smallest metric unit of length mentioned is the millimeter.

<p>True (A)</p> Signup and view all the answers

There are ten metric units of length described in the provided information.

<p>False (B)</p> Signup and view all the answers

Converting kilometers into millimeters involves division.

<p>False (B)</p> Signup and view all the answers

1 meter is equal to 100 centimeters.

<p>True (A)</p> Signup and view all the answers

A hectometer is smaller than a decameter.

<p>False (B)</p> Signup and view all the answers

Converting small metric units into large metric units involves multiplication.

<p>False (B)</p> Signup and view all the answers

There are 1,000 millimeters in 1 meter.

<p>True (A)</p> Signup and view all the answers

6000 mm is equal to 6 meters.

<p>True (A)</p> Signup and view all the answers

415 ml + 27 ml equals 442 ml.

<p>True (A)</p> Signup and view all the answers

205 ml + 8 ml equals 113 ml.

<p>False (B)</p> Signup and view all the answers

360 l + 124 l equals 484 l.

<p>True (A)</p> Signup and view all the answers

4120 dm is equal to 412 meters.

<p>True (A)</p> Signup and view all the answers

350 ml + 230 ml equals 680 ml.

<p>False (B)</p> Signup and view all the answers

When adding distances, you always start by adding the kilometers first.

<p>False (B)</p> Signup and view all the answers

5 hm is equal to 500 meters.

<p>True (A)</p> Signup and view all the answers

600 l + 350 l equals 950 l.

<p>True (A)</p> Signup and view all the answers

1 kilometer is equal to 10 hectometers.

<p>True (A)</p> Signup and view all the answers

Adding 15 km and 5 km results in 25 km.

<p>False (B)</p> Signup and view all the answers

In the example, 5 hm + 8 hm equals 14 hm.

<p>False (B)</p> Signup and view all the answers

When you have 10 or more hectometers, you can convert them to kilometers.

<p>True (A)</p> Signup and view all the answers

8 km 2 hm + 1 km 5 hm = 9 km 7 hm

<p>True (A)</p> Signup and view all the answers

14 l + 14 l equals 38 l.

<p>False (B)</p> Signup and view all the answers

7 km 5 hm + 4 km 8 hm = 12 km 3 hm.

<p>True (A)</p> Signup and view all the answers

When adding 7 km 4hm 9 dam and 6 km 6 hm 3 dam, the sum of the 'hm' column is 10 hm.

<p>True (A)</p> Signup and view all the answers

The sum of 6 km + 7 km is 14 km.

<p>False (B)</p> Signup and view all the answers

When adding distances, you must always include kilometers, hectometers, and decameters.

<p>False (B)</p> Signup and view all the answers

There are 6500 millilitres in 6.5 litres.

<p>True (A)</p> Signup and view all the answers

18,000 millilitres is equal to 18 litres.

<p>True (A)</p> Signup and view all the answers

To convert millilitres to litres, you multiply by 1000.

<p>False (B)</p> Signup and view all the answers

8500 millilitres is equal to 8.5 litres.

<p>True (A)</p> Signup and view all the answers

8000 ml is equal to 8 litres.

<p>True (A)</p> Signup and view all the answers

500 ml is equal to 1/4 of a litre.

<p>False (B)</p> Signup and view all the answers

There are 100 mililitres in 1 litre.

<p>False (B)</p> Signup and view all the answers

9 litres is equal to 9000 ml.

<p>True (A)</p> Signup and view all the answers

3.25 litres equals 325 ml.

<p>False (B)</p> Signup and view all the answers

7000 cm is equal to 70 metres.

<p>True (A)</p> Signup and view all the answers

6 dam is equal to 60 metres.

<p>True (A)</p> Signup and view all the answers

10 mm is equal to 1 dm.

<p>False (B)</p> Signup and view all the answers

When adding metric units of length, the units must be the same.

<p>True (A)</p> Signup and view all the answers

When subtracting measurements, you always start with the largest unit.

<p>False (B)</p> Signup and view all the answers

There are 18 litres in 18,000 millilitres.

<p>True (A)</p> Signup and view all the answers

One milliliter is equal to $\frac{1}{100}$ litres.

<p>False (B)</p> Signup and view all the answers

Metric units of length cannot be subtracted.

<p>False (B)</p> Signup and view all the answers

If you have 6 tons, you can directly subtract 2 tons without any conversions if you're only concerned about the tons value.

<p>True (A)</p> Signup and view all the answers

To convert millilitres to litres, you should multiply by 1,000.

<p>False (B)</p> Signup and view all the answers

Different metric units of length can be subtracted by considering the relationship between the given units.

<p>True (A)</p> Signup and view all the answers

8,500 millilitres is less than 8 litres.

<p>False (B)</p> Signup and view all the answers

When subtracting lengths, you should start with the largest unit (e.g., meters) first.

<p>False (B)</p> Signup and view all the answers

When subtracting, if the value in the smaller unit column is not sufficient, you must borrow from the next larger unit.

<p>True (A)</p> Signup and view all the answers

To convert kilograms to grams, you multiply the number of kilograms by 10.

<p>False (B)</p> Signup and view all the answers

To subtract 2 m 20 cm from 4 m 45 cm, the result is 2 m 25 cm.

<p>True (A)</p> Signup and view all the answers

When subtracting, you should always rewrite the problem vertically.

<p>False (B)</p> Signup and view all the answers

If you have 200 kg and subtract 300 kg, the result is always a positive number.

<p>False (B)</p> Signup and view all the answers

When subtracting 13 t from 15 t, you are left with 3 t.

<p>False (B)</p> Signup and view all the answers

In the metric system, mm stands for micrometers.

<p>False (B)</p> Signup and view all the answers

Units are not important in subtraction.

<p>False (B)</p> Signup and view all the answers

When subtracting metric units of length, you should start subtracting from the meters column.

<p>False (B)</p> Signup and view all the answers

The abbreviation cm stands for centimeter.

<p>True (A)</p> Signup and view all the answers

You can only subtract centimeters from meters.

<p>False (B)</p> Signup and view all the answers

There are 1000 meters in a kilometer.

<p>True (A)</p> Signup and view all the answers

A decimeter (dm) is smaller than a centimeter (cm).

<p>False (B)</p> Signup and view all the answers

The abbreviation dam stands for decameter.

<p>True (A)</p> Signup and view all the answers

A hectometer (hm) is equal to 1000 meters.

<p>False (B)</p> Signup and view all the answers

Units of length can only be added if they are the same.

<p>True (A)</p> Signup and view all the answers

When subtracting metric units of mass, you should start with the largest unit.

<p>False (B)</p> Signup and view all the answers

1000 grams is equal to 1 kilogram.

<p>True (A)</p> Signup and view all the answers

When subtracting, if the top number in a column is smaller than the bottom number, you always borrow from the next column to the left.

<p>True (A)</p> Signup and view all the answers

The basic unit of mass in the metric system is the liter.

<p>False (B)</p> Signup and view all the answers

When subtracting 6 t 420 kg from 12 t 740 kg, the result is 6 t 320 kg.

<p>True (A)</p> Signup and view all the answers

When you subtract masses, you should treat each unit (grams, kilograms, tons) separately.

<p>True (A)</p> Signup and view all the answers

Adding metric units requires converting to the smallest unit before adding.

<p>False (B)</p> Signup and view all the answers

1 kilometre is equal to 1000 metres.

<p>True (A)</p> Signup and view all the answers

1 metre is equal to 10 decimetres.

<p>True (A)</p> Signup and view all the answers

Converting 5 km to metres involves multiplication by 100.

<p>False (B)</p> Signup and view all the answers

There are 10 millimetres in a centimetre.

<p>True (A)</p> Signup and view all the answers

To convert centimetres to metres, you should divide by 100.

<p>True (A)</p> Signup and view all the answers

500 millimetres is equal to 5 centimetres.

<p>False (B)</p> Signup and view all the answers

A length of 200 centimetres is the same as 2 metres.

<p>True (A)</p> Signup and view all the answers

To convert metres to kilometres, you should multiply by 1000.

<p>False (B)</p> Signup and view all the answers

When adding masses, milligrams (mg) are added to kilograms (kg).

<p>False (B)</p> Signup and view all the answers

When adding masses, tons (t) are added to other values in tons (t).

<p>True (A)</p> Signup and view all the answers

4 kg 370 g plus 4 kg 225 g equals 8 kg 595 g.

<p>True (A)</p> Signup and view all the answers

4 t 450 kg plus 3 t 350 kg equals 7 t 900 kg.

<p>False (B)</p> Signup and view all the answers

10 t 470 kg plus 17 t 475 kg equals 27 t 945 kg.

<p>True (A)</p> Signup and view all the answers

When adding $4 + 3$, the sum is 9.

<p>False (B)</p> Signup and view all the answers

Kilograms are a unit of mass.

<p>True (A)</p> Signup and view all the answers

Metric units of length can only be subtracted if they have the same unit.

<p>True (A)</p> Signup and view all the answers

Grams are a larger unit of mass than tons.

<p>False (B)</p> Signup and view all the answers

When subtracting lengths, you always start with the metres.

<p>False (B)</p> Signup and view all the answers

When subtracting, if the top number is smaller, decrement the next unit to the left.

<p>False (B)</p> Signup and view all the answers

2 m and 25 cm is the same as 2.25 m.

<p>True (A)</p> Signup and view all the answers

Subtracting 2 m from 445 cm leaves 245 cm.

<p>True (A)</p> Signup and view all the answers

The abbreviation for millimetre is ml.

<p>False (B)</p> Signup and view all the answers

The basic metric unit of volume is the gram.

<p>False (B)</p> Signup and view all the answers

Converting small metric units of volume into large metric units of volume involves multiplication.

<p>False (B)</p> Signup and view all the answers

Volume can be measured in litres and millilitres.

<p>True (A)</p> Signup and view all the answers

1000 litres is equal to 1 millilitre.

<p>False (B)</p> Signup and view all the answers

To convert 5 litres to millilitres, you should divide by 1000.

<p>False (B)</p> Signup and view all the answers

The relationship between metric units of volume is not important when converting between them.

<p>False (B)</p> Signup and view all the answers

If a tank contains 45 litres and 23 litres remain after spillage, then 32 litres spilled out.

<p>False (B)</p> Signup and view all the answers

The difference between 4 tons 250 kg and 3 tons 680 kg is less than 1 ton.

<p>True (A)</p> Signup and view all the answers

Line segments of 14 cm, 9 cm, and 21 cm joined together total 44 cm.

<p>True (A)</p> Signup and view all the answers

If a tank has 216 litres of kerosene, then 3/4 of that amount is 162 litres.

<p>True (A)</p> Signup and view all the answers

76,000 kg of flour, 61,000 kg of rice, and 7,200 kg of salt totals 144,200 kg.

<p>True (A)</p> Signup and view all the answers

If one piece of wood is 3.5 metres and the total length is 10 metres, then the other piece is 7.5 metres.

<p>False (B)</p> Signup and view all the answers

6000 mm is equivalent to 6 metres.

<p>True (A)</p> Signup and view all the answers

4120 dm equals 412 metres.

<p>True (A)</p> Signup and view all the answers

5 hm is equivalent to 50 metres.

<p>False (B)</p> Signup and view all the answers

Adding 10 km and 3 km results in 13000 metres.

<p>True (A)</p> Signup and view all the answers

Adding 8 km 3 hm and 6 km 5 hm equals 14.8 km.

<p>True (A)</p> Signup and view all the answers

To convert hectometers to centimeters, you would multiply by $10^5$.

<p>True (A)</p> Signup and view all the answers

Converting kilometers to millimeters requires multiplying by one million.

<p>True (A)</p> Signup and view all the answers

There are precisely 8 commonly used metric units of length, ranging from millimeter to kilometer.

<p>False (B)</p> Signup and view all the answers

To convert 500 mm into meters, you should multiply 500 by 1000.

<p>False (B)</p> Signup and view all the answers

If a building is 15 meters tall, it is equivalent to 15,000 millimeters tall.

<p>True (A)</p> Signup and view all the answers

Converting from a smaller unit like centimeters to a larger unit like meters involves multiplication.

<p>False (B)</p> Signup and view all the answers

The relationship $1 \text{ hm} = 100 \text{ dam}$ is correct according to the relationships between metric units.

<p>False (B)</p> Signup and view all the answers

If a table is 2 decimeters wide, it is wider than if it was 25 centimeters wide.

<p>False (B)</p> Signup and view all the answers

To convert 4250 mg to grams, one should divide by 100, resulting in 42.5 grams.

<p>False (B)</p> Signup and view all the answers

There are 0.18 kilograms in 180 grams.

<p>True (A)</p> Signup and view all the answers

There are 500 milligrams in 1/2 of a gram.

<p>True (A)</p> Signup and view all the answers

When adding metric units of mass, it is best practice to start with the largest unit and work your way down to the smallest.

<p>False (B)</p> Signup and view all the answers

Fifteen tons is equivalent to 15,000 kilograms.

<p>True (A)</p> Signup and view all the answers

Converting 200,000 mg to grams involves dividing by 1000, resulting in 200 grams.

<p>True (A)</p> Signup and view all the answers

Adding 3 kg and 750 grams to 2 kg and 250 grams results in 5 kg exactly.

<p>True (A)</p> Signup and view all the answers

When adding metric units of volume, you should always add the litres column before the millilitres column.

<p>False (B)</p> Signup and view all the answers

7 litres and 620 millilitres plus 2 litres and 390 mililitres equals 10 litres and 10 mililitres.

<p>True (A)</p> Signup and view all the answers

When adding 5 litres 400 ml and 2 litres 750 ml, the millilitre portion of the sum is less than 1 litre.

<p>False (B)</p> Signup and view all the answers

When subtracting 130 800 from 330 600, the result can be obtained by initially subtracting 130 800 from 330 000.

<p>False (B)</p> Signup and view all the answers

4 l 300 ml + 2 l 800 ml is equal to 7 l 100 ml.

<p>True (A)</p> Signup and view all the answers

5 litres and 200 millilitres is the same as 5.02 litres.

<p>False (B)</p> Signup and view all the answers

When subtracting 53 532 from 75 426, you need to regroup 10 units from the 'tens' place to perform the subtraction in the 'ones' place.

<p>True (A)</p> Signup and view all the answers

Subtracting 8 74 from 11 41 directly involves subtracting 74 from 41 without any regrouping because 41 is so close to 74.

<p>False (B)</p> Signup and view all the answers

Adding 2 litres 500 ml and 3 litres 500 ml results in exactly 6 litres.

<p>True (A)</p> Signup and view all the answers

Subtracting 16 37 from 20 93 requires regrouping 1 liter (1000 ml) into 100 ml to accurately solve

<p>False (B)</p> Signup and view all the answers

If you have two containers, one with 3L and the second with 700ml of water. In total you have 3700ml.

<p>True (A)</p> Signup and view all the answers

Adding 1 litre 250 ml three times is equal to 3 litres 500 ml.

<p>False (B)</p> Signup and view all the answers

Subtracting 45 382 from 90 180, direct subtraction is possible without regrouping from the 'l' place because 180 is less than 382.

<p>False (B)</p> Signup and view all the answers

When subtracting 16 600 from 31 510, regrouping is required, involving converting 1 liter into 100 milliliters.

<p>False (B)</p> Signup and view all the answers

If a tank initially contains 45 litres of water and 23 litres remain after a spill, then 22 litres of water spilled out.

<p>True (A)</p> Signup and view all the answers

To subtract 33 35 from 48 17, one must regroup by taking 1 liter from the 48 liters and converting it into 100 milliliters.

<p>False (B)</p> Signup and view all the answers

If a fisherman sold 3 tons and 680 kg of fish in January and 4 tons and 250 kg in February, the difference in weight of fish sold is 570 kg.

<p>False (B)</p> Signup and view all the answers

Joining three line segments of lengths 14 cm, 9 cm, and 21 cm results in a single line segment with a total length of 44 cm.

<p>True (A)</p> Signup and view all the answers

Regrouping during the subtraction of 37 541 from 62 281 involves converting 1 liter into 100 milliliters.

<p>False (B)</p> Signup and view all the answers

If Mr. Mapesa's first tank contains 216 litres of kerosene and the second tank contains $\frac{3}{4}$ of that amount, then the second tank contains 162 litres.

<p>True (A)</p> Signup and view all the answers

If a shopkeeper bought 76,000 kg of flour, 61,000 kg of rice, and 7,200 kg of salt, then the total weight of items bought is 144,200 kg.

<p>True (A)</p> Signup and view all the answers

If a carpenter joins two pieces of wood to create a 10-meter piece and the first piece is 3.5 meters, the second piece must be 7.5 meters.

<p>False (B)</p> Signup and view all the answers

There are 100 centimeters in a meter, meaning 1 m = 10 cm.

<p>False (B)</p> Signup and view all the answers

Which of the following correctly represents 'Two hundred shillings and twenty-five cents' in short form?

<p>sh 200.25 (D)</p> Signup and view all the answers

How would you express 'Fifty five thousand shillings and eighty five cents' in short form?

<p>sh 55000.85 (C)</p> Signup and view all the answers

What is the value, in shillings, of 30 times 10 cents?

<p>sh 3 (D)</p> Signup and view all the answers

Rozi's monthly salary is 315,000 shillings and 80 cents. How is this salary expressed in short form?

<p>sh 315,000.80 (D)</p> Signup and view all the answers

How would you write 'One shilling and fifty cents' in short form?

<p>sh 1.50 (A)</p> Signup and view all the answers

Six hundred and forty shillings and five cents' can be expressed as:

<p>sh 640.05 (D)</p> Signup and view all the answers

Which of the following represents 'Fifty shillings and sixty cents' in short form?

<p>sh 50.6 (D)</p> Signup and view all the answers

Which of the options represents 'Nine hundred and ninety nine thousand, eight hundred shillings and ninety cents'?

<p>sh 999800.90 (B)</p> Signup and view all the answers

If you have sh 10 and spend 350 cts, how much money do you have left?

<p>sh 6.50 (D)</p> Signup and view all the answers

A shopkeeper has sh 500 in notes and 7 coins of 50 cents each. What is the total amount of money the shopkeeper has?

<p>sh 503.50 (A)</p> Signup and view all the answers

Mary has sh 125 and 50 cts. She wants to buy a book that costs sh 150. How much more money does she need?

<p>sh 24.50 (B)</p> Signup and view all the answers

You have sh 20. You spend 500 cts on sweets and 250 cts on juice. How much money do you have left, in shillings?

<p>sh 12.50 (D)</p> Signup and view all the answers

If a store sells an item for 2 shillings and 75 cents, which of the following is the correct short form notation for this price?

<p>sh 2.75 (C)</p> Signup and view all the answers

Joseph initially had sh 350,000 and spent sh 127,500. If he then earns an additional sh 50,000, how much money does Joseph have in shillings?

<p>272,500 (B)</p> Signup and view all the answers

Bahati bought 3 bed sheets for sh 5,000 each, 2 shirts for sh 3,000 each, and some plates. If she paid a total of sh 31,500, and the bowls were not purchased, how much did she spend on the plates?

<p>sh 10,500 (C)</p> Signup and view all the answers

Kalista bought 3 pairs of shoes at sh 13,500 each and 3 pairs of khanga. If she spent a total of sh 91,500, and she did not buy the wrist watches nor mobile phone batteries, how much did she spend on each pair of khanga in shillings?

<p>sh 16,500 (C)</p> Signup and view all the answers

A fruit vendor sold 285 mangoes for sh 119,913.75. If another vendor sold 150 mangoes at a price that is sh 50 more per mango than the first vendor, how much money did the second vendor make?

<p>sh 63,050 (A)</p> Signup and view all the answers

A group of 72 friends divided sh 174,499.20 equally. If 12 more friends joined the group and the same amount was divided equally, how much less would each person receive, in shillings and cents?

<p>sh 346.43 (D)</p> Signup and view all the answers

In the example provided, what is the first step when multiplying shillings and cents?

<p>Multiply the cents by the multiplier. (A)</p> Signup and view all the answers

In Example 1, what do you do after multiplying 6 by 5 cents?

<p>Write the result in the cents column. (C)</p> Signup and view all the answers

If you multiply sh 150 and 25 cts by 4, what would be the result in cents before converting to shillings?

<p>100 (D)</p> Signup and view all the answers

What is the purpose of converting the cents to shillings after multiplication?

<p>To simplify the final answer. (A)</p> Signup and view all the answers

If you have sh 200 and 150 cents, and you need to express this in shillings only, what would it be?

<p>sh 201.50 (C)</p> Signup and view all the answers

Following the method in Example 2, if you multiply sh 120 and 60 cts by 5, how many shillings do you have before converting the cents?

<p>600 (C)</p> Signup and view all the answers

If after multiplying, you end up with 1350 cents, how many shillings and cents is that equivalent to?

<p>sh 13 and 50 cts (C)</p> Signup and view all the answers

What is the final answer in shillings and cents if you multiply sh 75 and 20 cts by 8?

<p>sh 601.60 (B)</p> Signup and view all the answers

In example 2, after multiplying 75 cents by 10, the result is 750 cents. What is the next step?

<p>Convert 750 cents to shillings and cents. (A)</p> Signup and view all the answers

You are given sh 300 and 95 cents. If you multiply it by 3, what is the value in cents before converting it to shillings?

<p>285 (B)</p> Signup and view all the answers

In the provided example (45 205 312 ÷ 45), what is the significance of changing the remainder into cents during the division process?

<p>It allows for a more accurate result by accounting for the fractional part of the division. (D)</p> Signup and view all the answers

If, when dividing shillings by a certain number, there is a shilling remainder, what must be done to continue the division process and obtain an answer in both shillings and cents?

<p>Multiply the shilling remainder by 100 and add any existing cents before continuing division. (A)</p> Signup and view all the answers

In the example problem $19,000.80 \div 9$, why is it important to keep the decimal alignment when solving?

<p>To keep the place value of both shillings and cents consistent in the quotient. (D)</p> Signup and view all the answers

In the exercises provided, what is the most likely objective?

<p>To assess the ability to divide amounts of money in shillings and cents by whole numbers. (A)</p> Signup and view all the answers

When given a problem such as 45363 shillings to be divided by 3, what is the first step?

<p>Divide the shilling amount by 3. (D)</p> Signup and view all the answers

Why does long division result in a shilling and cents answer when dividing 'shillings and cents' amount by a whole number?

<p>The remainder of the shilling division must be further divided into cents to be more precise. (B)</p> Signup and view all the answers

Suppose you are dividing an amount of money in shillings and cents by a whole number and you arrive at a point where the remaining number is smaller than the divisor. What does this indicate?

<p>The remaining number represents a fraction of a shilling that needs to be converted to cents. (D)</p> Signup and view all the answers

If a problem requires dividing 1546740 shillings and 60 cents by 15, which part of the amount is divided first, and why?

<p>The 1546740 shillings, because it represents the whole number portion of the amount. (A)</p> Signup and view all the answers

When dividing shillings and cents by a whole number, at what point does the division process shift from dealing with shillings to dealing with cents?

<p>After the quotient for the shillings part has been determined, and there's a need to divide any remainder or the cents portion. (B)</p> Signup and view all the answers

In the division of amounts of money, like shillings and cents, what is the significance of the placement of digits in the quotient during the long division process?

<p>Correct digit placement ensures that the place values in the quotient (shillings and cents) are accurately represented. (A)</p> Signup and view all the answers

If you have sh 78,850 and you spend sh 5,850, which mathematical operation would you use to find out how much money you have left?

<p>Subtraction (D)</p> Signup and view all the answers

If you earn sh 462 each day, which operation helps you calculate your total earnings after 10 days?

<p>Multiplication (D)</p> Signup and view all the answers

Suppose a vendor has sh 560 and wants to divide it equally among 4 people. What operation should he use to find each person's share?

<p>Division (B)</p> Signup and view all the answers

You have sh 56,280 and you earn an additional sh 38,270. Which calculation determines your new total?

<p>$56,280 + 38,270$ (D)</p> Signup and view all the answers

Suppose you initially have sh 5,670 and then spend sh 3,980. What operation should you perform to calculate the remaining amount?

<p>Subtraction (A)</p> Signup and view all the answers

A shopkeeper had sh 84,500 and after sales, the net amount in the shop is sh 53,950. How can we find out the total expenditure during sales?

<p>Subtract sh 53,950 from sh 84,500 (D)</p> Signup and view all the answers

If one kilogram of sugar costs sh 635, how would you calculate the cost of 16 kilograms of sugar?

<p>Multiply 635 by 16 (A)</p> Signup and view all the answers

Which of the following represents 'shillings five hundred and fifty cents' in short form?

<p>sh 500.50 (C)</p> Signup and view all the answers

How would you represent 'shillings one thousand two hundred and seventy cents' in short form?

<p>sh 1200.70 (D)</p> Signup and view all the answers

What is the correct short form representation of 'shillings three thousand six hundred'?

<p>sh 3600.00 (A)</p> Signup and view all the answers

If you have one shilling, how many 50 cents coins would you need?

<p>2 (A)</p> Signup and view all the answers

How would you write 'shillings forty-eight thousand three hundred fifty and five cents' in short form?

<p>sh 48350.05 (C)</p> Signup and view all the answers

What is the correct way to write 'shillings eighty thousand four hundred ninety-five and ninety-five cents' in short form?

<p>sh 80495.95 (B)</p> Signup and view all the answers

If someone writes 'sh 230000.70', how would you express this amount in words?

<p>Two hundred thirty thousand shillings and seventy cents (A)</p> Signup and view all the answers

Which of the following represents 'shillings one million' correctly in short form?

<p>sh 1000000.00 (D)</p> Signup and view all the answers

How would you write 'shillings one thousand seven hundred fifty-nine and fifty cents' in short form?

<p>sh 1759.50 (B)</p> Signup and view all the answers

Joseph initially had sh 350,000 and spent sh 127,500. If he decides to invest half of the remaining money and keeps the other half, how many shillings does he have to keep?

<p>sh 111,250 (A)</p> Signup and view all the answers

Bahati bought 3 bed sheets at sh 5,000 each, 2 shirts at sh 3,000 each, and some plates at sh 1,000 each. If she paid a total of sh 25,000, how many plates did she buy?

<p>2 (C)</p> Signup and view all the answers

Kalista bought 3 pairs of shoes at sh 13,500, 3 pairs of khanga at sh 9,000, and 2 mobile phone batteries. If she spent a total of sh 102,500, how much did each mobile phone battery cost?

<p>sh 20,000 (C)</p> Signup and view all the answers

A fruit vendor sold 285 mangoes for sh 119,913.75. If they decide to increase the price of each mango by sh 100, what will be the new total earnings from selling the same amount of mangoes?

<p>sh 148,413.75 (A)</p> Signup and view all the answers

72 friends equally divide sh 174,499.20. If 8 more friends join the group and the same amount is divided equally, how much less does each person receive?

<p>sh 310.51 (A)</p> Signup and view all the answers

If 8 items cost sh 645,000.00, what is the cost of each item?

<p>sh 80,625.00 (D)</p> Signup and view all the answers

What is the result of dividing sh 111.20 by 20?

<p>sh 5.56 (B)</p> Signup and view all the answers

If you have sh 350,000 and spend sh 127,500, how much money do you have left?

<p>sh 222,500 (B)</p> Signup and view all the answers

What is the combined cost of item 17 (sh 75,510.00) and item 18 (sh 133,248.60)?

<p>sh 208,758.60 (D)</p> Signup and view all the answers

An item costs sh 465,600.60. If you pay with sh 500,000, how much change do you receive?

<p>sh 34,399.40 (A)</p> Signup and view all the answers

If the total cost for item 15 and another item is 30,000,000, and item 15 costs sh 24,133,248.00, what is the cost of the other item?

<p>sh 5,866,752.00 (C)</p> Signup and view all the answers

How much more does item 13 (sh 100,000,000.80) cost than item 14 (sh 1,740.60)?

<p>sh 99,998,359.40 (A)</p> Signup and view all the answers

If you buy 4 of item 9 for sh 465,600.60 each, what is the total cost?

<p>sh 1,862,402.40 (A)</p> Signup and view all the answers

If item 12 is divided equally amongst 10 people, how much does each person receive?

<p>sh 116,852.60 (D)</p> Signup and view all the answers

How much would 5 of item 7 cost?

<p>sh 680,025.00 (B)</p> Signup and view all the answers

In long division, after dividing the shillings and obtaining a remainder, what is the correct procedure to continue the division process?

<p>Convert the remainder from shillings to cents and add it to the existing cents before dividing. (A)</p> Signup and view all the answers

If, after dividing shillings, you have a remainder of sh 7, how many cents should be added to the cents column before continuing the division, given that sh 1 equals 100 cents?

<p>700 cents (A)</p> Signup and view all the answers

In a division problem involving shillings and cents, if the quotient in the shilling place is 123 and the quotient in the cents place is 75, how should the final answer be represented?

<p>sh 123.75 (D)</p> Signup and view all the answers

When dividing shillings and cents by a whole number, what does the term 'quotient' represent?

<p>The result obtained after dividing the shillings and cents. (A)</p> Signup and view all the answers

When dividing a total amount of sh 15,000 and 50 cents by 25, which part of the division must be performed first?

<p>The shillings must be divided (A)</p> Signup and view all the answers

What is the best method to use when dividing large amounts of shillings and cents by a single-digit divisor?

<p>Long Division (B)</p> Signup and view all the answers

In solving word problems involving division of money (shillings and cents), what is an important first step to ensure an accurate solution?

<p>Write down the given information clearly. (C)</p> Signup and view all the answers

If you're using long division to divide sh 1000 and 25 cents by 5 and you find that 5 divides into 1000 evenly, what does the '0' remainder mean for the next step?

<p>You proceed to divide the cents without converting any shillings. (D)</p> Signup and view all the answers

Which of the following is the correct setup for dividing sh 1234 and 56 cents by 4 using long division?

<p>4|1234.56 (D)</p> Signup and view all the answers

After dividing the shillings portion in a shillings and cents division problem, you get a quotient with several decimal places. What should you do?

<p>Round the quotient to the nearest whole number and convert the decimal to cents. (B)</p> Signup and view all the answers

When adding amounts in shillings and cents, what is the significance of the 'cts column'?

<p>It represents fractional parts of a shilling, requiring carrying over to the shillings column when the sum exceeds 100. (A)</p> Signup and view all the answers

In the context of adding shillings and cents, what does it mean to 'add 1 sh to the sh column'?

<p>To add one shilling for every multiple of 100 cents accumulated in the cents column. (C)</p> Signup and view all the answers

What is the correct sum of sh 645 489.15 + sh 351 432.45?

<p>sh 996 921.60 (A)</p> Signup and view all the answers

If you have sh 432 456.10 and you add sh 463 367.65, what is the total amount?

<p>sh 895 823.75 (B)</p> Signup and view all the answers

What would be the result of summing sh 625 445.50 and sh 357 223.85?

<p>sh 982 669.35 (C)</p> Signup and view all the answers

You are given two amounts: sh 863 435.10 and sh 28 375.65. What is the combined total of these two amounts?

<p>sh 891 810.75 (D)</p> Signup and view all the answers

Consider this addition: 4 596 sh 65 cts and 3 987 sh 75 cts. Determine the sum of the values in the 'cts' column.

<p>140 cts (A)</p> Signup and view all the answers

If you divide sh 25 and 50 cts by 5, what is the correct quotient in shillings and cents?

<p>sh 5.10 (D)</p> Signup and view all the answers

A group of friends equally shared a bill of sh 36 and 90 cts. If each friend paid sh 4 and 10 cts, how many friends were in the group?

<p>9 (B)</p> Signup and view all the answers

What is the remaining balance if sh 180 and 15 cts is divided into 15 equal parts?

<p>sh 12 and 1 cts (C)</p> Signup and view all the answers

If sh 21,720 and 60 cts is generated from daily sales for 20 days, how much was generated each day?

<p>sh 1,086.03 (A)</p> Signup and view all the answers

A charity collected a total of sh 35,320 and 70 cents. If these funds were from 12 different donors and each donated an equal amount, how much did each donor contribute?

<p>sh 2,943.39 (A)</p> Signup and view all the answers

In a subtraction problem involving shillings and cents, what is the first step after determining that the cents value being subtracted is larger than the cents value it is being subtracted from?

<p>Borrow 1 shilling from the shillings column and convert it to 100 cents. (A)</p> Signup and view all the answers

If you have sh 500,000 and 50 cts and need to subtract sh 250,000 and 75 cts, what initial conversion is required?

<p>Convert sh 1 to 100 cts. (D)</p> Signup and view all the answers

When subtracting money, specifically shillings and cents, why is it important to align the numbers correctly in their respective columns?

<p>To ensure accurate calculations by subtracting like units. (D)</p> Signup and view all the answers

What does 'cts' stand for when dealing with calculations involving money?

<p>Cents (B)</p> Signup and view all the answers

What is the primary reason for learning how to subtract shillings and cents accurately?

<p>To manage personal finances and handle transactions correctly. (D)</p> Signup and view all the answers

If you are subtracting two amounts of money and you end up with a negative number of cents after the initial subtraction, what does this indicate?

<p>You need to borrow from the shillings to increase the cents you are subtracting from. (B)</p> Signup and view all the answers

In what context would you most likely need to perform subtraction with shillings and cents?

<p>Managing a budget or calculating change at a store. (A)</p> Signup and view all the answers

What is the value of 'sh 1' when converted to cents, and why is this conversion important in subtraction?

<p>100 cents, used when the cents being subtracted are more than the initial cents amount. (C)</p> Signup and view all the answers

Why is it important to understand the relationship between shillings and cents when subtracting money?

<p>To ensure accuracy when borrowing and subtracting amounts that involve both units. (B)</p> Signup and view all the answers

In a subtraction problem, if you borrow 1 shilling from the shillings column, what mathematical operation do you typically perform with this borrowed amount in the cents column?

<p>Add 100 (C)</p> Signup and view all the answers

In subtracting shillings and cents, if the cents you are subtracting are more than the cents you have, what initial step do you take?

<p>Borrow 1 shilling (100 cents) and add it to the cents column. (D)</p> Signup and view all the answers

When subtracting: sh 953 964 and 45 cts - sh 599 868 and 65 cts, why is it necessary to adjust the shillings and cents before subtracting?

<p>Because the cents in the second amount (65 cts) are greater than the cents in the first amount (45 cts). (C)</p> Signup and view all the answers

Which of the following calculations results in a sum greater than sh 7,500, using the provided data?

<p>sh 14 955.50 + sh 4 955.55 (A)</p> Signup and view all the answers

When subtracting money, what does 'borrowing' from the shillings column involve?

<p>Adding 100 to the cents column and subtracting 1 from the shillings column. (D)</p> Signup and view all the answers

If 'SE' in question 9 represents an unknown two-digit value, what is the smallest value 'SE' can be if the total value of the calculation is to exceed sh 1330?

<p>05 (C)</p> Signup and view all the answers

What should you do after calculating both the shillings and cents portions of a subtraction problem?

<p>Write the answer with the shillings and cents amounts clearly labeled. (A)</p> Signup and view all the answers

Determine the value of 'LY' given that sh 423 293.45 + sh 549 315.25 = sh 'LY'.

<p>962,608.60 (B)</p> Signup and view all the answers

Solve: sh 444 330 and 30 cts - sh 367 220 and 10 cts

<p>sh 77,110 and 20 cts (A)</p> Signup and view all the answers

What is the sum when adding sh 454 265.40 and sh 287 939.95?

<p>sh 742 205.35 (B)</p> Signup and view all the answers

How do you correctly express the operation of subtracting sh 215 101 and 50 cts from sh 571 171?

<p>sh 571 171.00 - sh 215 101.50 (A)</p> Signup and view all the answers

What is the equivalent of one shilling when converted to cents for the purpose of subtraction?

<p>100 cents (D)</p> Signup and view all the answers

If you combine the amounts sh 356 005.45 and sh 130 436.95, what is the total?

<p>sh 486 442.40 (A)</p> Signup and view all the answers

Calculate the combined value of sh 433 270.55 and sh 433 865.45.

<p>sh 867 136.00 (D)</p> Signup and view all the answers

In subtracting amounts of money, which column do you subtract first?

<p>Subtract the cents column first. (D)</p> Signup and view all the answers

During subtraction, if after borrowing, the value in the cents column is '125', what does that indicate?

<p>125 is the result after adding the borrowed shilling (100 cents) to the original cents value. (B)</p> Signup and view all the answers

What is the difference between the sum of sh 385 534.05 + sh 453 057.45, and sh 800 000?

<p>sh 38,591.50 (D)</p> Signup and view all the answers

Calculate the result of sh 130 218.95 + sh 456 354.50.

<p>sh 586 573.55 (B)</p> Signup and view all the answers

Sh 367 662 and 10 cts - sh 153 221 and 10 cts

<p>sh 214 441 and 00 cts (B)</p> Signup and view all the answers

Considering only the 'cts' values from questions 8 to 10, which 'cts' value is the largest?

<p>cts 50 (D)</p> Signup and view all the answers

If Joseph initially had sh 350,000 and spent sh 127,500, which expression represents the amount of money Joseph has remaining?

<p>$350,000 - 127,500$ (A)</p> Signup and view all the answers

A shop sells a radio for sh 645,000.00 and decides to divide it into 8 equal installments. How much is each installment?

<p>sh 80,625.00 (B)</p> Signup and view all the answers

Which of the following represents the total cost of 20 identical items if each item costs sh 111.20?

<p>sh 2,224.00 (B)</p> Signup and view all the answers

If a vendor needs to distribute sh 25,755,510 equally among 25 employees, what calculation should be used to find each employee's share?

<p>$25,755,510 \div 25$ (D)</p> Signup and view all the answers

A school has a budget of sh 13,391,560.00 to purchase school supplies. If they divide the budget equally between textbooks and stationery, how much money is allocated to each category?

<p>sh 6,695,780.00 (B)</p> Signup and view all the answers

How would you represent 245,000 shillings and 75 cents in short form?

<p>sh 245,000.75 (B)</p> Signup and view all the answers

If you have sh 750.50, which of the following correctly expresses this amount in words?

<p>Seven hundred and fifty shillings and fifty cents. (B)</p> Signup and view all the answers

A shopkeeper has collected 500 coins each worth 10 cents. How much money does the shopkeeper have in shillings?

<p>50 shillings (B)</p> Signup and view all the answers

Which of the following represents 'one thousand, two hundred and sixty shillings and thirty cents' in short form?

<p>sh 1260.30 (A)</p> Signup and view all the answers

How many shillings are equivalent to 750 times 10 cents?

<p>sh 75 (D)</p> Signup and view all the answers

If you have 25 shillings, how many 10-cent coins can you get?

<p>250 coins (A)</p> Signup and view all the answers

Ali's salary is 420,000 shillings and 20 cents. How would this salary be expressed in short form?

<p>sh 420,000.20 (C)</p> Signup and view all the answers

What is the sum of sh 423 293.45 and sh 549 315.25?

<p>sh 962,618.70 (B)</p> Signup and view all the answers

Calculate the total: sh 14 955.50 + sh 4 955.55

<p>sh 19,910.05 (A)</p> Signup and view all the answers

What is the result of adding sh 181.65, sh 6 564.95, and sh 1 192.25?

<p>sh 7,938.85 (C)</p> Signup and view all the answers

Determine the sum of sh 1 060.05 and sh 2 175.15.

<p>sh 3,235.20 (B)</p> Signup and view all the answers

Find the total: sh 650.45 + sh 679.40

<p>sh 1,329.85 (C)</p> Signup and view all the answers

In the example dividing 205,312 sh and 50 cts by 45, what does the '22 remainder' after the first division step represent before it's converted?

<p>22 shillings that are left over after dividing the shillings. (A)</p> Signup and view all the answers

Calculate the sum of sh 5 075.05 and sh 3 350.50.

<p>sh 8,425.55 (C)</p> Signup and view all the answers

Why is the remainder in shillings converted to cents in the division process?

<p>To account for the remaining value that is less than one shilling and to continue the division to a more precise level. (B)</p> Signup and view all the answers

What is the combined value of sh 3 009.65 and sh 4 087.55?

<p>sh 7,097.20 (A)</p> Signup and view all the answers

If, when dividing an amount in shillings and cents by a whole number, you end up with a zero remainder in the shilling division, what does this indicate?

<p>The final answer will only have a shilling value and no cents. (D)</p> Signup and view all the answers

Determine the total: sh 5 707.35 + sh 2 983.90 + sh 1 225.30

<p>sh 9,916.55 (A)</p> Signup and view all the answers

Find the sum of sh 385 534.05 and sh 453 057.45

<p>sh 838,591.50 (C)</p> Signup and view all the answers

In the given examples, what is the significance of aligning the decimal points when dealing with shillings and cents?

<p>It helps in keeping track of the place values and ensures correct arithmetic operations. (B)</p> Signup and view all the answers

If dividing 100,000 shillings and 75 cents by 25, what would be a reasonable first step in solving this problem?

<p>Convert all values entirely into cents, conduct division, then convert back to shillings and cents. (C)</p> Signup and view all the answers

When dividing shillings and cents, under what condition would you know that your answer for the shillings portion is most likely correct before proceeding to divide the cents?

<p>When the product of the quotient and divisor is close to, but does not exceed, the dividend. (C)</p> Signup and view all the answers

Upon dividing an amount of shillings by a certain number, you get a quotient and a non-zero remainder. What must be done with this remainder?

<p>Convert it to cents and add to the existing cents before dividing by the same divisor. (B)</p> Signup and view all the answers

What is the relevance of the phrase 'with remainder' in the context of dividing shillings by a whole number?

<p>It signifies an amount in shillings left over after division that is less than the divisor. (B)</p> Signup and view all the answers

When dividing an amount in shillings and cents, if the quotient obtained for the shilling part has more decimal places than expected (e.g., three decimal places instead of two), what does this indicate?

<p>It indicates a mistake has been made in the calculation that must be corrected. (D)</p> Signup and view all the answers

If you divide an amount in shillings and cents by a number and the cents part of the result is greater or equal to 100, what should you do?

<p>Convert the cents to shillings and add to the shilling amount, adjusting the cents accordingly. (B)</p> Signup and view all the answers

In subtracting money, why might you need to convert shillings into cents?

<p>When the cents value being subtracted is greater than the cents value you're subtracting from. (D)</p> Signup and view all the answers

If you have sh 530 725 and 15 cts and need to subtract sh 215 480 and 60 cts, what is the first step after recognizing you need to borrow?

<p>Convert 1 shilling into 100 cents and add it to the existing cents. (D)</p> Signup and view all the answers

After borrowing 1 shilling and converting it to cents, how would you represent sh 823 456 and 30 cts?

<p>sh 823 455 and 130 cts (C)</p> Signup and view all the answers

What adjustment is needed to the shillings value after borrowing to subtract cents?

<p>Decrease the shillings value by 1. (C)</p> Signup and view all the answers

Subtract: sh 765 432 and 20 cts - sh 345 678 and 90 cts. After borrowing, what is the new value of the cents you'll be subtracting from?

<p>120 cts (C)</p> Signup and view all the answers

You are subtracting money and find that both the shilling and cents values in the number you are subtracting from are smaller than the number you are subtracting. What should you do?

<p>Borrow from the value next to the shillings. (C)</p> Signup and view all the answers

You have sh 1,000,000 and 00 cts and need to subtract sh 500,000 and 50 cts. Perform the subtraction. What is the result?

<p>sh 499,999 and 50 cts (B)</p> Signup and view all the answers

After expressing the problem sh 500 000 - sh 250 500 in columns for subtraction, what would be your initial step?

<p>Start from the rightmost column (ones). (B)</p> Signup and view all the answers

What is the proper way to align sh 123 456 and 78 cts with sh 98 765 and 43 cts for subtraction?

<p>Align the numbers so that the decimal points (separating shillings and cents) are aligned. (A)</p> Signup and view all the answers

If you subtract sh 199 999 and 99 cts from sh 200 000 and 00 cts, what is the result?

<p>sh 0 and 01 ct (C)</p> Signup and view all the answers

When dividing money, you should start by dividing the cents before the shillings.

<p>False (B)</p> Signup and view all the answers

If you divide 10 shillings by 5, the result is 2 shillings.

<p>True (A)</p> Signup and view all the answers

If you divide 50 cents by 5, the result is 5 cents.

<p>False (B)</p> Signup and view all the answers

Sh 2.10 means 2 shillings and 10 cents.

<p>True (A)</p> Signup and view all the answers

Dividing money always results in a whole number of shillings.

<p>False (B)</p> Signup and view all the answers

When subtracting money, you should subtract the shillings before subtracting the cents.

<p>False (B)</p> Signup and view all the answers

Sh 1 is equal to 100 cts.

<p>True (A)</p> Signup and view all the answers

If you have sh 10.50 and divide it by 5, you will get sh 2.10.

<p>True (A)</p> Signup and view all the answers

The abbreviation "cts" stands for dollars.

<p>False (B)</p> Signup and view all the answers

The result of 420 561 sh 65 cts minus 110 340 sh 40 cts is 310 221 sh 25 cts.

<p>True (A)</p> Signup and view all the answers

Sh 10 is the same as 100 cts.

<p>False (B)</p> Signup and view all the answers

When subtracting, if the cents in the number being subtracted are more than the cents you are subtracting from, you need to borrow 10 sh from the next column.

<p>False (B)</p> Signup and view all the answers

When performing division of money problems, you should calculate from right to left.

<p>False (B)</p> Signup and view all the answers

Subtraction of money involves subtracting both shillings and cents.

<p>True (A)</p> Signup and view all the answers

The only operation that can be performed on money is addition.

<p>False (B)</p> Signup and view all the answers

The division operator is represented by this symbol: $x$

<p>False (B)</p> Signup and view all the answers

964 868 sh 25 cts minus 599 853 sh 75 cts is equal to 365 014 sh 50 cts.

<p>True (A)</p> Signup and view all the answers

When subtracting shillings and cents, if the cents to be subtracted are more than the existing cents, you need to borrow from the shillings.

<p>True (A)</p> Signup and view all the answers

100 cents is equivalent to one shilling.

<p>True (A)</p> Signup and view all the answers

When subtracting money, you should ignore the decimal points.

<p>False (B)</p> Signup and view all the answers

Sh 953 964 and 45 cts minus sh 599 868 and 65 cts is equal to sh 354 095 and 80 cts.

<p>True (A)</p> Signup and view all the answers

When lining up a subtraction problem, you should line up the decimal points and place values.

<p>True (A)</p> Signup and view all the answers

Sh 571 171.00 minus sh 215 101.50 equals sh 356 069.50

<p>True (A)</p> Signup and view all the answers

Addition is necessary when you borrow a shilling and convert it to cents.

<p>True (A)</p> Signup and view all the answers

Selling a television set for 580 000 shillings after buying it for 420 000 shillings results in a profit.

<p>True (A)</p> Signup and view all the answers

When subtracting money, you always start with the shillings column.

<p>False (B)</p> Signup and view all the answers

Sh 444 330.30 minus sh 367 220.10 equals sh 77 110.20.

<p>True (A)</p> Signup and view all the answers

If a student buys 15 exercise books at 600 shillings each, the total cost is 6,000 shillings.

<p>False (B)</p> Signup and view all the answers

83200.40 is the same as 83,200 shillings and 40 cents.

<p>True (A)</p> Signup and view all the answers

If Maringo had 775 000 shillings and spent 131 650 shillings, he would remain with more than 600 000 shillings.

<p>True (A)</p> Signup and view all the answers

If a farmer got 101 755 shillings for rice and 207 800.50 shillings for maize, the total income is less than 300 000 shillings.

<p>False (B)</p> Signup and view all the answers

91000.70 can be expressed as ninety-one thousand shillings and seventy cents.

<p>True (A)</p> Signup and view all the answers

If Neema distributes 335 500 shillings equally among her 11 children, each child receives 30,500 shillings.

<p>True (A)</p> Signup and view all the answers

7516305.40 is the same as 751,630 shillings and 405 cents.

<p>False (B)</p> Signup and view all the answers

13391560.00 represents thirteen million, three hundred ninety-one thousand, five hundred sixty shillings exactly.

<p>True (A)</p> Signup and view all the answers

4465600.60 is equivalent to four million, four hundred sixty five thousand, six hundred shillings and sixty cents.

<p>True (A)</p> Signup and view all the answers

10364500.00 represents ten million, three hundred sixty-four thousand, five hundred shillings and zero cents.

<p>True (A)</p> Signup and view all the answers

Sh 645000.00 ÷ 8 = sh 80625.00

<p>True (A)</p> Signup and view all the answers

If a pair of shoes costs sh 23 500.50, then 11 pairs cost sh 258505.50.

<p>True (A)</p> Signup and view all the answers

If Joseph had sh 350 000 and used sh 127 500, he would have sh 230000 remaining.

<p>False (B)</p> Signup and view all the answers

The terminology 'sh cts', 'sh' represents 'shilling', and 'cts' represent 'cents'.

<p>True (A)</p> Signup and view all the answers

In this chapter, the book focuses on teaching how to manage money up to five million shillings.

<p>False (B)</p> Signup and view all the answers

The primary goal of understanding Tanzanian currency, as highlighted, is purely for academic purposes without real-world application.

<p>False (B)</p> Signup and view all the answers

Learning about currency in this chapter will not help in developing skills in earning, spending and saving money.

<p>False (B)</p> Signup and view all the answers

If you subtract sh 3,980 from sh 5,670, the result is sh 2,690.

<p>False (B)</p> Signup and view all the answers

Multiplying sh 462 by 10 results in sh 4,620.

<p>True (A)</p> Signup and view all the answers

If one adds sh 56 280 and sh 38 270, the result is sh 94 550.

<p>True (A)</p> Signup and view all the answers

If one subtracts sh 53 950 from sh 84 500, the result is sh 20 550.

<p>False (B)</p> Signup and view all the answers

When dividing Tanzanian Shillings (sh) and cents (cts) by a whole number, any remainder from the shillings division must be converted to cents before dividing the total cents.

<p>True (A)</p> Signup and view all the answers

According to the examples provided, when dividing sh 19,000 and 80 cts by 9, the correct answer, rounded appropriately, should be approximately sh 2,111.78.

<p>False (B)</p> Signup and view all the answers

In the division of amounts in shillings and cents, it is acceptable to leave a remainder in the shillings division without converting it to cents for further calculation.

<p>False (B)</p> Signup and view all the answers

When adding amounts in shillings and cents, you always start by adding the shillings before adding the cents.

<p>False (B)</p> Signup and view all the answers

Dividing sh 45,363 by 3 results in sh 15,121. 00, assuming you follow the standard division rules.

<p>True (A)</p> Signup and view all the answers

According to the examples, when adding money, if the total cents exceed 100, you must convert the excess to shillings.

<p>True (A)</p> Signup and view all the answers

If one were to divide sh 24,289 and 20 cts by 12, the resulting quotient will have no cents because 12 divides evenly into 24,289.

<p>False (B)</p> Signup and view all the answers

Adding sh 625 and 45 cts to sh 364 and 20 cts results in a total of sh 999 and 65 cts.

<p>False (B)</p> Signup and view all the answers

When adding sh 4596 and 65 cts to sh 3987 and 75 cts, the sum of the shillings is 8583 and the sum of the cents is 140.

<p>True (A)</p> Signup and view all the answers

If the sum of cents is exactly 100, you should write '00' in the cents column and add 1 to the shillings column.

<p>True (A)</p> Signup and view all the answers

When subtracting money, you should always start by subtracting the shillings before subtracting the cents.

<p>False (B)</p> Signup and view all the answers

Adding sh 1000 and 50 cts to sh 500 and 50 cts will always result in sh 1500 and 100 cts, which simplifies to sh 1501.

<p>True (A)</p> Signup and view all the answers

Based on the provided calculations, 511.20 - 270.05 equals 241.15.

<p>True (A)</p> Signup and view all the answers

When adding money, if the total cents is 200, this is equivalent to sh 1 and 50 cts.

<p>False (B)</p> Signup and view all the answers

If you are adding three amounts of money and the total cents add up to 345, this is equal to 2 shillings and 45 cents.

<p>False (B)</p> Signup and view all the answers

Based on the provided calculations, 3 121.85 - 1 111.35 equals 2010.50.

<p>True (A)</p> Signup and view all the answers

When subtracting money, you always start by subtracting the shillings before subtracting the cents.

<p>False (B)</p> Signup and view all the answers

Based on the provided calculations, 770.621.50 - 330.423.30 equals 440.198.20.

<p>True (A)</p> Signup and view all the answers

In the example provided, 420561 sh and 65 cts minus 110340 sh and 40 cts, equals 310221 sh and 25 cts.

<p>True (A)</p> Signup and view all the answers

You should always write the total amount in the 'cts' column, even if it is more than 100.

<p>False (B)</p> Signup and view all the answers

When subtracting money, if the cents in the subtrahend (the number being subtracted) are more than the cents in the minuend (the number from which you are subtracting), you must borrow 100 cents from the shillings column.

<p>True (A)</p> Signup and view all the answers

Based on the provided calculations, 4 505.80 - 2 321.25 equals 2 184.55.

<p>True (A)</p> Signup and view all the answers

Based on the provided calculations, 611 180.50 - 211 070.70 equals 400 109.80.

<p>True (A)</p> Signup and view all the answers

Sh 1 is equivalent to 1000 cts.

<p>False (B)</p> Signup and view all the answers

To correctly subtract sh 964 868 and 25 cts minus sh 599 853 and 75 cts, the first step involves converting sh 1 into 200 cts.

<p>False (B)</p> Signup and view all the answers

When multiplying money, you should start by multiplying the shillings before multiplying the cents.

<p>False (B)</p> Signup and view all the answers

Multiplying shillings and cents is fundamentally different from multiplying standard decimal numbers due to the absence of carrying over between place values.

<p>False (B)</p> Signup and view all the answers

The result of sh 193432.45 + sh 367563.65 is sh 560996.10.

<p>True (A)</p> Signup and view all the answers

Borrowing is never required when subtracting money if you carefully align the decimal points.

<p>False (B)</p> Signup and view all the answers

In subtraction of money, like ordinary subtraction, it does not matter whether you arrange the numbers in the correct place values.

<p>False (B)</p> Signup and view all the answers

Based on the provided calculations, 1 000 000.00 - 850 000.20 equals 149 999.80

<p>True (A)</p> Signup and view all the answers

Subtraction of money is different from ordinary substation since we deal with different units of currency.

<p>True (A)</p> Signup and view all the answers

If you have sh 500 and need to subtract sh 500.50, you don't have enough money to do the subtraction.

<p>True (A)</p> Signup and view all the answers

The sum of sh 436.95 and sh 432210.15 is sh 432646.10.

<p>True (A)</p> Signup and view all the answers

Based on the provided calculations, $\text{sh } 423,293.45 + \text{sh } 549,315.25$ equals $\text{sh } 972,608.70$.

<p>True (A)</p> Signup and view all the answers

According to the given data, $\text{sh } 14,955.50 + \text{sh } 4,955.55$ sums up to $\text{sh } 19,911.05$.

<p>True (A)</p> Signup and view all the answers

The sum of $\text{sh } 181.65 + \text{sh } 6,564.95 + \text{sh } 1,192.25$ is equal to $\text{sh } 7,938.85$.

<p>False (B)</p> Signup and view all the answers

When subtracting money, you should always subtract the shillings before subtracting the cents.

<p>False (B)</p> Signup and view all the answers

Given the addition problem $1,060.05 + 2,175.15$, the result equals $3,235.20$.

<p>True (A)</p> Signup and view all the answers

In the example subtraction problem, 420 561 65 - 110 340 40, the resulting cents value is 25.

<p>True (A)</p> Signup and view all the answers

Sh 1 is equivalent to 200 cents when converting between shillings and cents during subtraction.

<p>False (B)</p> Signup and view all the answers

The calculation $5,075.05 + 3,350.50$ results in $8,425.55$, which is equivalent to $\text{sh } 8,425$ and $55$ cents.

<p>True (A)</p> Signup and view all the answers

If you have sh 500 and spend sh 250 and 50 cts, you will have exactly sh 250 remaining.

<p>False (B)</p> Signup and view all the answers

Adding $3,009.65$ and $4,087.55$ will result in $7,097.20$.

<p>True (A)</p> Signup and view all the answers

$\text{sh } 356,005.45 + \text{sh } 130,436.95$ totals $\text{sh } 486,442.40$.

<p>True (A)</p> Signup and view all the answers

In the subtraction example of 964 868 25 - 599 853 75, it is necessary to convert shillings to cents because 25 cents is less than 75 cents.

<p>True (A)</p> Signup and view all the answers

When subtracting money, if the cents value being subtracted is larger than the initial cents value, you must borrow 10 shillings from the next higher place value.

<p>False (B)</p> Signup and view all the answers

The value 'sh 193432.45' is likely properly formatted, displaying sh and cts values.

<p>False (B)</p> Signup and view all the answers

In example 2, dividing sh 205 312 by 45 results in a quotient of sh 4,562 with a remainder of sh 22, which is then converted to 2,200 cts.

<p>True (A)</p> Signup and view all the answers

When subtracting sh 110 340 and 40 cts from sh 420 561 and 65 cts, the resulting amount is more than sh 300 000.

<p>True (A)</p> Signup and view all the answers

Based on example 3, when dividing sh 19,000 and 80 cts by 9, the quotient is precisely sh 2,111 with no remaining cents.

<p>False (B)</p> Signup and view all the answers

If you have sh 1000 and spend sh 600 and 50 cts, you will have sh 400 and 50 cts remaining.

<p>False (B)</p> Signup and view all the answers

When converting a remainder from shillings to cents, each shilling is equivalent to 100 cents, meaning a remainder of sh 18 would convert to 1,700 cents.

<p>False (B)</p> Signup and view all the answers

Dividing sh 45 363 by 3 will result in sh 15,121 with no remaining shillings or cents.

<p>True (A)</p> Signup and view all the answers

If you divide sh 45 442 and 50 cts by 15, you will get exactly sh 3,029 and 50 cts.

<p>False (B)</p> Signup and view all the answers

When multiplying shillings and cents by a single-digit number, you should multiply the shillings first, then the cents.

<p>False (B)</p> Signup and view all the answers

If multiplying $sh. 50$ and $5$ cts by $6$, the cents column will contain $30$ after the first step.

<p>True (A)</p> Signup and view all the answers

In the multiplication example, $sh. 50$ and $5$ cts multiplied by $6$, the final answer is $sh. 300.50$.

<p>False (B)</p> Signup and view all the answers

When multiplying $sh. 250$ and $75$ cts by $10$, the intermediate result for the cents is $75$ cts.

<p>False (B)</p> Signup and view all the answers

When multiplying $sh. 250$ and $75$ cts by $10$, converting $750$ cts results in $sh. 75$ and $0$ cts.

<p>False (B)</p> Signup and view all the answers

Multiplying shillings and cents by $10$ only affects the shillings value, leaving the cents unchanged.

<p>False (B)</p> Signup and view all the answers

If $100$ cents equals $sh. 1$, then $835$ cents is equal to $sh. 8$ and $35$ cents.

<p>True (A)</p> Signup and view all the answers

When multiplying $sh. 50.05$ by $6$, the cents part of the product is obtained by calculating $6 \times 5$.

<p>True (A)</p> Signup and view all the answers

When subtracting shillings and cents, if the cents to be subtracted are more than the cents available, you always borrow 100 from the shilling column.

<p>True (A)</p> Signup and view all the answers

When multiplying amounts in shillings and cents, converting the final answer back to a decimal format is optional.

<p>False (B)</p> Signup and view all the answers

When subtracting sh 153 221 and 10 cts from sh 367 662 and 10 cts, you need to borrow from the shilling column to perform the subtraction of the cents.

<p>False (B)</p> Signup and view all the answers

To convert cents to shillings, you always divide the number of cents by $10$.

<p>False (B)</p> Signup and view all the answers

When subtracting two amounts in shillings and cents, it is necessary to first subtract the shilling amounts and then subtract the cent amounts, regardless of whether borrowing is required.

<p>False (B)</p> Signup and view all the answers

If you have sh 500 000 and want to subtract sh 250 000 and 50 cts, you will be left with exactly sh 249 999 and 50 cts.

<p>True (A)</p> Signup and view all the answers

Subtracting sh 215 101 and 50 cts from sh 571 171 results in sh 356 070 and 50 cts.

<p>False (B)</p> Signup and view all the answers

When subtracting sh 18 129 and 14 cts from sh 268 654 and 14 cts, the cents portion of the result will be zero.

<p>True (A)</p> Signup and view all the answers

When subtracting shillings and cents, one shilling equals 10 cents.

<p>False (B)</p> Signup and view all the answers

The result of subtracting sh 11 102 and 60 cts from sh 21 201 and 10 cts is sh 10 098 and 50 cts.

<p>False (B)</p> Signup and view all the answers

When subtracting sh 367 220 and 10 cts from sh 444 330 and 30 cts the result is sh 77 110 and 20 cts.

<p>True (A)</p> Signup and view all the answers

If you subtract sh 53 102 and 75 cts from sh 445 540 and 35 cts the resultant cents will require borrowing from the shilling column.

<p>True (A)</p> Signup and view all the answers

Flashcards

What is a square number?

A square number is the product of a number multiplied by itself.

What does 'squared' mean?

It represents a number multiplied by itself (e.g., 5 squared is 5 x 5).

1x1

1

2x2

4

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3x3

9

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5x5

25

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4x4

16

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Square Number

The result of multiplying a number by itself.

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Square of 7

7 multiplied by 7.

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Square of 10

10 multiplied by 10.

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Square of 11

11 multiplied by 11.

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20 Squared

Multiplying 20 by itself.

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21 Squared

Multiplying 21 by itself

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8 Squared

Multiplying 8 by itself.

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Number Pattern

Numbers that follow a predictable sequence, often with a pattern.

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Multiply by Itself

Multiplying a number by itself.

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Square of a number

The result of multiplying a number by itself.

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Square Root

A value that, when multiplied by itself, gives the original number.

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Find √256

To find the square root of 256.

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Find √361

To find the square root of 361.

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Equal Rows and Columns

The process to arrange items in equal rows and columns. Finding how many items are in each row/column when the total and arrangement pattern are known.

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What is a Square Root?

A number that, when multiplied by itself, equals a given number.

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What is Prime Factorization?

Separating a number into its prime number components.

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What is a Factor Tree?

A diagram used to break down a number into its factors, branching out until all factors are prime.

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What are Equal Groups of Factors?

Pairing the same factors together to find the square root.

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What is √676 Prime Factorization?

√676 = √(2 x 2) x (13 x 13) = √(2 x 2) x √(13 x 13)

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What is √676?

The square root of 676.

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What is the square root of 196?

The square root is 14.

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What is the square root of 400?

The answer is 20.

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What is the square root of 121?

The square root is 11.

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What happens when a number in parenthesis is next to each other?

The number multiplied by itself to get the original number.

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Prime Factorization

Breaking down a number into its prime number components that, when multiplied together, equal the original number.

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Product of Prime Factors

Expressing a number as a product of its prime factors.

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Prime Number

A whole number that can only be divided evenly by 1 or itself (examples: 2, 3, 5, 7, 11).

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Repeated Factor

A factor that appears more than once in the prime factorization of a number.

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Grouping Like Factors

Grouping identical prime factors together to simplify square root calculations.

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Simplifying Square Roots

Simplifying a square root by extracting pairs of identical factors.

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√64 = 8

The square root of 64, or 8, because 8 multiplied by itself equals 64.

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Prime Factors of 676

Breaking down 676 into its prime factors: 2 x 2 x 13 x 13.

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√676 = 26

The square root of 676, which equals 26 (because 26 x 26 = 676).

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Geometric Square Numbers

The result of multiplying a number by itself, visualized as a square grid.

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Five Squared

Five multiplied by itself; can also be written as 5².

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Three Squared

Three multiplied by itself; can also be written as 3².

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Four Squared

Four multiplied by itself; can also be written as 4².

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Visualizing Square Numbers

Numbers that are the product of a number multiplied by itself, visualized as a patterned box.

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Square Arrangement

Arrangement of items into rows and columns to produce a box.

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Arrangement of dots into boxes

A visual arrangement of items in rows and columns.

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What times itself equals 81?

81 is the product of multiplying this number by itself.

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What times itself equals 144?

144 is the product of multiplying this number by itself.

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What times itself equals 625?

625 is the product of multiplying this number by itself.

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What times itself equals 256?

256 Square

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What is Finding a Square Root?

The process of finding which number, when multiplied by itself, equals the original number.

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How do you use prime factors to find square roots?

Arranging prime factors into pairs of identical numbers.

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What are Factors

Numbers that when multiplied make a non-prime number

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What is a square?

A number multiplied by itself.

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What does 'raised to two' mean?

When a number is raised to the power of two, like 6².

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What is squaring a number?

The result of multiplying a number by itself twice.

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What is the Square Root Symbol?

The symbol used to indicate finding the square root of a number.

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What does 'finding the square root' mean?

Finding a number that, when multiplied by itself, gives you back the original number.

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√49 = 7

The square root of 49 is 7 because 7 multiplied by itself equals 49.

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What is an example of a square number?

The product of a number multiplied by itself.

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Prime Factorization by Division

Breaking a number down to its prime number components using a division method.

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Product of Prime Factors by Division

Expressing a number as a product of its prime factors using division.

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Repeated Prime Factor

A factor that appears more than once when finding the prime factorization of a number.

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Grouping Like Prime Factors (Division)

Pairing identical prime factors together to simplify square root calculations using prime factorization by division.

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Division Method: Simplifying Square Roots

Simplifying a square root by extracting pairs of identical prime factors by division.

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What does squaring mean?

Multiplying a number by itself.

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What is the 'product'?

The product when a number is multiplied by itself.

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What is a dot arrangement?

A visual representation where dots are arranged in equal rows and columns.

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What are small squares?

The number of small squares that fit within a larger square.

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What does '5²' mean?

Represented as the number multiplied by itself.

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Geometric Squares

The square of a number that is visually represented by items in equal rows and columns.

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Dots in a Square

The number of items arranged in rows and columns.

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Square number definition

The product obtained when a number is multiplied by itself.

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Square Number Pattern

Numbers that follow a set pattern with square numbers.

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Squaring

Multiply each number by itself

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Listing All The Square Numbers

Listing numbers which are all square numbers

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Raised to Two

A number raised to the power of two is the number multiplied by itself.

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Example Of Square Number

7 x 7. 49 is an example.

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Square Number Result

The product of a number multiplied by itself

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Example:

7 is the square root of this number.

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Example of square number.

The product of what you multiply by itself.

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Square Root Symbol

Symbol showing the square root of a number.

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Grouping Like Prime Factors by Division

Pairing identical prime factors when finding square roots using division.

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Prime Factors of 676 by Division

Breaking down 676 into its prime factors using division method: 2 x 2 x 13 x 13.

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What does 'raised to the power of two' mean?

Taking a number to the power of two. It's the number multiplied by itself.

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Is 5² = 5 x 5 = √625?

Yes, they are all correct. 5² = 5 x 5 = √625 = 25.

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If John's age is √100, how old is he?

John is 10 years old because √100 = 10.

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How many chickens is 17 raised to 2?

Teacher Christina has 289 chickens.

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Geometrical Square

A number, arranged geometrically, that represents a square.

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Small Squares in a Square

The number of small squares within a large square.

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What does 'squared' represent?

Multiplying a number by itself.

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Geometrical Number

The visual representation of a number multiplied by itself.

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Finding the Square

The result of multiplying a number by itself, often seen as a square arrangement.

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Squares Inside the Square

Small squares make one big square.

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81 = 9 x ______

To find the missing factor in the expression

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144 = _____ x 12

To find the missing factor in the expression

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625 = 25 x ______

To find the missing factor in the expression

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_____ = 16 x 16

To find the missing number in the expression

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Prime Factorization definition

Breaking down a number into its prime number components.

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Factor Tree

A visual tool to find prime factors.

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Equal Pairs Definition

The number arranged into equal pairs to simplify square roots.

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Product of Prime Factors definition

Rewriting a number as the product of its prime factors.

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Definition of Square Root

A number that when multiplied by itself, equals a given number.

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Boxes definition

A process that arranges items in equal rows and columns.

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Equal Groups of Factors?

Pairing the same factors together to find the square root.

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Finding a Square Root?

The process of finding which number, multiplied by itself, equals the original number.

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Age relationship

The age of a child multiplied by itself equals the father's age.

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Square number sequence

49, 64, 81, 100

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Another Square sequence

121, 169, 225, 289, 361, 441, 529

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What number multiplies by 20 to get 400

400 = 20 x 20

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What is squaring?

Multiplying a number by itself to get its square.

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Square Numbers below 10,000

A number less than 10,000 that is the product of a number multiplied by itself.

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Applications of Square Numbers

Used in measurements, calculations, and growth modeling.

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Dots arrangement

The product obtained by multiplying the number of horizontal dots by the number of vertical dots.

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Dots in each set?

The quantity of points in a structured layout.

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What is 'n squared' (n²)?

Represented as n², where 'n' is multiplied by itself.

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What is a Geometrical Square?

A visual representation of a square number, forming a square shape.

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What is a Square Pattern?

A visual design that increases by square.

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What is a Square Dot Arrangement?

The number of dots arranged in rows and columns to produce a squared box.

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Tree Diagram (Factor Tree)

A method using branches to break down a number into its prime factors.

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Making equal groups

Arranging factors into pairs to simplify square root calculations.

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Square numbers ÷ 6?

No, not all square numbers are divisible by 6 (e.g., 25).

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Counting number × itself = square?

Correct! Multiplying a counting number by itself results in a square number.

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144 as a number raised to two

144 can be expressed as 12 multiplied by 12, or 12².

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81 as a number raised to two

81 can be expressed as 9 multiplied by 9, or 9².

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121 as a number raised to two

121 can be expressed as 11 multiplied by 11, or 11².

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6 × 6 as a number raised to two

6 × 6 can be written as 6².

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9 × 9 as a number raised to two

9 × 9 can be written as 9².

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15 × 15 as a number raised to two

15 × 15 can be written as 15².

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225 as a number raised to two

225 can be written as 15².

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What is √49?

Finding a number that, when multiplied by itself, equals 49.

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What is √25?

√25 = 5

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What is √9?

√9 = 3

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What is √100?

√100 = 10

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What is factor grouping?

Grouping identical prime factors together.

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What is the prime factorization of √64?

√64 = √(2 x 2 x 2 x 2 x 2 x 2)

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What is a prime Factor?

A factor that is a prime number.

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Digital Time

Representing time using numbers and colons (e.g., 2:15).

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Quarter Past

Fifteen minutes after the hour.

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O'Clock

The time when the minute hand points directly at the 12.

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Half Past

Thirty minutes past the hour.

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Quarter To

Fifteen minutes before the next hour.

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Elapsed Time: Addition

Adding time durations together to find a later time.

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Elapsed Time

Finding the duration between two points in time.

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Dividing Days and Hours

A method for dividing quantities of days and hours.

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Converting Remainder Days

After division, the remaining days are changed into hours.

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Adding Hours After Conversion

Adding the additional hours after converting remainder days.

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Quotient in Time Division

Performing division to find the quotients representing days and/or hours.

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Determining Final Answer

The final step after division, conversion, and addition.

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Leap Year

A year with 366 days, occurring every four years (with some exceptions).

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Short Year

A year with 365 days.

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Hour to Minutes

1 hour equals 60 minutes.

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Day to Hours

1 day equals 24 hours.

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Week to Days

1 week equals 7 days.

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Year To Months

1 year equals 12 months.

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February (Short Year)

February has 28 days in a short year.

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February (Leap Year)

February has 29 days in a leap year.

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Hours to Days Conversion

Divide the total hours by 24.

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Multiplying Years and Months

A method to multiply years and months.

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Converting Months to Years

Convert extra months into years and remaining months.

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Steps for Multiplication of Time

The steps are multiply months, convert, then multiply years and add any converted years

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Multiplying Months

First multiply the number of months.

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Converting Months

If the product is larger than 12 months, convert it to years.

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Multiplying Years

Multiply the number of years by the original multiplier given.

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Adding Converted Years

Add any converted years from the months calculation to the product of the years.

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Final Result Format

Write the converted years and remaining months as the final result.

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8 x 2

8 multiplied by 2 equals 16.

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8 x 3

8 multiplied by 3 equals 24.

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Multiplying Time Measurements

Multiplying years and months by a scalar

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Dividing Hours and Minutes

Start by dividing the hours, then proceed to divide the minutes.

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Order of Division

Dividing time measurements starts with the largest unit.

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1 Hour

60 minutes.

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What are prime numbers?

Numbers only divisible by 1 and themselves.

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What is 'o'clock'?

The hour hand points to the number and the minute hand points to 12.

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Clock (a): Time?

The time is 8:00. In words, it is eight o'clock.

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Clock (b): Time?

The time is 2:00. In words, it is two o'clock.

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Clock (c): Time?

The time is 5:00. In words, it is five o'clock.

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Clock (d): Time?

The time is 6:00. In words, it is six o'clock.

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Clock (e): Time?

The time is 11:00. In words, it is eleven o'clock.

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Clock (f): Time?

The time is 9:00. In words, it is nine o'clock.

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Dividing Hours

Divide total hours by the divisor to find the whole hours in the quotient; any remainder is converted into minutes

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Converting Remainder Hours

After dividing the whole hours, convert any remainder hours to minutes and add those minutes to the original minutes

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Dividing Total Minutes

Divide the total minutes (original + converted) by the divisor to find the minutes portion of the quotient.

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Time Division Setup

When dividing time, set up the problem vertically with hours and minutes columns.

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Time Division Answer

The result of dividing hours and minutes, shown as 'X hours and Y minutes'

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What is a Year?

A unit of time equivalent to 365 days (approximately).

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What is a Week?

A unit of time equal to 7 days.

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Years to Weeks

Multiply the number of years by 52.

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Multiplying Years & Months

First multiply months, then multiply years.

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Multiplying Months Placement

Write the result in the months position.

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Multiplying Years Placement

Write the result in the years position.

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Year and Month Conversion

Remember that 1 year is equal to 12 months.

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Multiplying Time Units

To find the answer use multiplication.

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When to begin multiplying

Begin working with months first when multiplying years and months.

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Annual Calendar

A calendar showing all twelve months of the year.

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Twelve Months

January, February, March, April, May, June, July, August, September, October, November, and December.

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Month Day Counts

Months can have these day counts: 31, 30, 28, or 29.

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Leap Year Rule

A year divisible by 4.

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Short Year Rule

A year not divisible by 4.

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Writing Dates

Writing the day, month, and year using numbers separated by (.),(/), or (-).

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Months with 30 days

April, June, September, and November.

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Time Multiplication

Multiplying a given time by a factor.

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Multiplying Minutes

First multiply the minutes, then convert any excess minutes into hours and remaining minutes.

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Multiplying Hours

Multiply the hours by the given factor.

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Combining Time Units

Combine the multiplied hours and the adjusted minutes to get the final answer.

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Minutes Calculation

4 x 21 minutes= 84 minutes. This is equal to one hour and 24 minutes.

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Hours Calculation

4 x 7 hours = 28 hours is the starting point.

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Adding Carried Over Hours

Adding previously calculated hours. In this case its adding one.

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Hours Calculation - Example 3

6 x 5 hours = 30 hours is the starting point.

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Example 3 - Minutes Calculation

6 x 16 minutes= 96 minutes. This is equal to one hour and 36 minutes after being carried over.

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Combining Time Units - Example 3

Combining multiplied hours and minutes = 31 hours and 36 minutes.

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Days in a Week

There are 7 days in a week.

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Multiplying Mixed Units

To multiply numbers with mixed units (weeks and days), multiply each unit separately.

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Years to weeks conversion

One year is equal to 52 weeks.

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Order of Multiplication

When multiplying years and weeks, first multiply the weeks, then the years.

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Product

The result of multiplying a number

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Combined answers

The answer when multiplying mixed units will have both units in their places.

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Final Answer

The answer when multiplying years and weeks result in years and weeks.

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Weeks in a Year

There are 52 weeks in a year.

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Dividing Years and Months

When dividing time measurements with years and months: complete the years first, then convert any remaining years into months and add it to the total months.

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Order of Division (Years/Months)

When dividing years and months, start with the years.

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Handling Remainder (Years/Months)

Convert any remainder years into months and add them to number of months.

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What are Days and Hours?

A unit of time measurement.

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What is division?

To find how many times one quantity is contained in another.

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What is a Day?

A period of 24 hours.

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In dividing time, where do you start?

Start with the largest, then go smaller.

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How many days in 1 week?

7 days

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What is Dividing?

Process of splitting into equal groups.

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What is 48 weeks / 4?

48 weeks divided by 4

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Multiplying Weeks

Multiply the weeks by the multiplier.

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What to divide after weeks?

Dividing days after weeks.

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Converting Weeks to Years

Convert excess weeks (over 52) into years.

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Reporting Time Units

Report years and weeks separately.

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Step 1: Multiply Weeks

Multiply the number of weeks by the multiplier.

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Convert excess weeks

If the product of weeks is more than 52, convert to years and remaining weeks.

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Multiply Years

Multiply the number of years by the multiplier.

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Add Converted Years

Add any converted years from the weeks multiplication to the product of the years multiplication.

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Final Answer: Years and Weeks

Combine the calculated years and remaining weeks for the final answer.

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Converting Minutes to Hours

Converting minutes greater than 60 into hours and remaining minutes.

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Dividing Time Units

To divide quantities with different units of time, start with the largest unit and work your way down.

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Hours in a Day

There are always 24 hours in a single day.

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What is an hour?

A period of 60 minutes.

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What is a minute?

A time measurement - 60 make up an hour.

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Adding time (hours & minutes)

Add the hours together and carry over any groups of 60 minutes to equal an hour.

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How to subtract time

With time subtraction you subtract the minutes and hours separately, borrowing from the hours if needed.

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First step in dividing days and hours

The first step in division is to divide the days.

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Second step in dividing days and hours

The second step in division is to divide the hours.

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Days to Hours Conversion

To convert days into hours, use number of days multiplied by 24.

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What is a Remainder?

After dividing days by a number, the left over amount.

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Days and Hours Division Steps

First, divide the days, then convert any remaining days into hours, and add them to the initial hours.

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What is Unit Conversion?

Changing the unit of a quantity is called converting the unit.

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Date format: dots

A way to represent a date using numbers separated by dots.

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Date format: slashes

A way to represent a date using numbers separated by forward slashes.

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Date format: dashes

To write a data using dashes.

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Monthly Calendar

A chart showing the days, weeks, and months of a year.

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Days of the week

The days of a week are Monday, Tuesday, Wednesday, Thursday, Friday, Saturday and Sunday.

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Constructing a Calendar

Arrange days in rows and columns to visualize a month.

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Calendar Start Day

The first day of the month determining which day of the week it will start on.

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Order of Operations (Time)

Multiply the hours first, then the days.

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Converting Excess Hours

If the hours exceed 24, convert them to days.

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Adding Converted Days

Add any converted days to the original number of days.

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Time Multiplication Answer

The final result after multiplying and converting.

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Example: 6 days, 12 hours x 4

6 days and 12 hours multiplied by 4.

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12 Hours x 4 Conversion

4 x 12 hours equals 48 hours, which is 2 days.

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Multiplying the Days

4 x 6 days equals 24 days.

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Total Number of Days

Adding 2 converted days to 24 days equals 26 days.

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Multiplying Weeks & Days

Multiplying weeks and days by a number.

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4 Weeks x 5

4 weeks multiplied by 5 equals 20 weeks.

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Adding Converted Week

Adding a week to the weeks after conversion.

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Converting Days to Weeks

Converting remaining days ensures accurate calculations

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Final Answer Format

The product represents total duration in weeks and days.

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10 Weeks x 6 Days

10 weeks and 6 days multiplied by 6.

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Carrying Over Weeks

Carrying over extra weeks from the days.

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Total Weeks Value

Final total of weeks after carrying over.

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Multiply Days

Multiply the days by the multiplier

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56 Days

How many weeks are in 56 days?

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Months to Years

Convert months to years by dividing by 12.

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Steps for Multiplying Years and Months

First multiply the months, convert if necessary, then multiply the years, and finally, add any converted years.

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Product of Time

The result obtained after multiplying two quantities representing time.

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When to convert months to years?

When the number of months is greater than 12.

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Multiply 8 x 2

8 multiplied by 2 is 16.

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How long is 1 year in months?

12 months.

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Multiply 8 x 3

8 multiplied by 3 equals 24

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8 x 2 Months Calculation

8 multiplied by 2 is 16 months, and that equals 1 year and 4 months.

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Adding Months to Years

Add them together.

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Adding Time

Adding segments of time together.

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Subtracting Time

Finding time before a particular time.

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What is a Calendar?

A chart displaying days, weeks, and months in a structured format.

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What is November 30th?

The last day of November.

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First Sunday of the Month

The first day is a Sunday

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Dividing Time Measurements

Divide years first, then months separately.

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Calendar Structure

A tabular arrangement showing days, weeks, and months.

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28th of the Month

The 28th day of the month

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Year Equivalent

1 year is equal to 12 months.

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Second Friday

The second Friday of the month.

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Division Starting Point

In dividing time measurements, start by dividing the 'years'.

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Calculate leave duration

Calculating the length of time away from work or school.

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Return Date

The date someone returns after a period of absence.

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What is Annual Leave?

A period of time away from work or regular duties.

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Minute Conversion

Convert excess minutes into hours, carrying over the hours.

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Carry-Over Addition

Add any carried-over hours to the product after multiplying.

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Final Time Result

Combining the multiplied hours and minutes for the final answer.

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Example of time multiplication

7 hours and 21 minutes multiplied by 4.

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Multiplying the minutes

First multiply 21 minutes by 4 to get 84 minutes.

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Converting excess minutes to hours

84 minutes equals 1 hour and 24 minutes.

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Multiplying the Hours.

Multiply 7 hours by 4, resulting in 28 hours.

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Calculating the Final Answer

Total Hours is adding the carried-over hour to 28 hours, getting 29 hours, and add the 24 minutes.

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Step 1: Multiply Days

Multiply the number of days by the multiplier.

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Adding the Extra Weeks

Add the extra weeks (converted from days) to the product of weeks obtained in Step 2

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Writing Remaining Days

Write the remaining days (less than 7) after converting to whole in the days' position.

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Example: Multiplying 5 weeks 3 days x 4

5 weeks, 3 days multiplied by 4

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Breaking down: 5 weeks 3 days x 4

5 weeks, 3 days x 4 = convert 12 days to 1 weeks and 5 days and carry over extra week earned and add to weeks

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Final Answer: 5 weeks 3 days x 4

5 weeks 3 days x 4= 21 weeks 5 days.

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Bus travel duration

The time for a bus to reach its final stop.

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Minutes to hours

To convert 360 minutes into hours.

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Minutes in a day

The number of minutes from midnight to midnight.

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Converting hours to days

To show how many days are equal to 28 hours.

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Hours to minutes conversion

To find out how many minutes 70 hours is equivalent to.

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Hours in multiple days

To calculate the amount of hours in ten days.

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Multiplying Days and Hours

Multiplying a quantity of days and hours by a factor.

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Unit Labels in Multiplication

In multiplication, each part (days/hours) retains its label.

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Time Answer Format

When multiplying time, the answer should be in days and hours format.

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Mixed Time Units

Representing time in mixed units (days and hours).

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Multiply the number of days

Multiply the number of days by the multiplier

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Multiplying weeks and days

Multiplying weeks and days separately.

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Days to Weeks

Convert & add extra days to weeks.

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Weeks/Days Multiplication

Multiply each part by the multiplier.

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Carry Over

CarryOver extra days to weeks.

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What is a product?

The result of multiplication.

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What are weeks?

The number of weeks.

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What are days?

Short period of time.

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Separate Multiplication

A strategy when multiplying weeks and days.

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Understand the Conversion

Converting days into weeks by understanding that 7 days make up 1 week.

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Time Unit Conversion

A method for converting and multiplying units of time.

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Final Time Calculation Answer

A final answer that includes both years and months after multiplication and conversion.

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Years and Months Multiplication

Multiplying years and months requires knowing that 1 year equals 12 months.

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Order of operations

Multiply months first, then years.

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Months Place Value

Write the result in the 'months' column.

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Years place value

Write the result in the 'years' column.

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What is a millimeter?

A unit of length in the metric system.

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What is a centimeter?

A unit of length equal to 10 millimeters.

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What is a decimeter?

A unit of length equal to 10 centimeters.

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What is a meter?

The base unit of length in the metric system.

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What is a decameter?

A unit of length equal to 10 meters.

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What is a hectometer?

A unit of length equal to 100 meters.

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What is a kilometer?

A unit of length equal to 1000 meters.

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mm to meters

1 meter (m) = 1000 millimeters (mm). To convert mm to m, divide by 1000.

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dm to meters

1 meter (m) = 10 decimeters (dm). To convert dm to m, divide by 10.

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cm to meters

1 meter (m) = 100 centimeters (cm). To convert cm to m, divide by 100.

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dam to meters

1 decameter (dam) = 10 meters (m). To convert dam to m, multiply by 10.

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hm to meters

1 hectometer (hm) = 100 meters (m). To convert hm to m, multiply by 100.

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mm to dm

Convert 10 mm to dm, using: 1 dm = 100 mm. To convert mm to dm, divide by 100.

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km to m

1 km = 1000 m. To convert km to m, multiply by 1000.

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Adding same units of length

Adding lengths with the same units. For example: 10 km + 3 km = 13km

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Adding diff units of length

Adding lengths with different units. Convert to the same unit first! Example: 8 km 3 hm + 6 km 5 hm = 14 km 8 hm.

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What is a millilitre (ml)?

One thousandth of a litre.

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What is a litre?

A unit of volume equal to 1000 millilitres.

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How to convert ml to litres

To convert millilitres to litres, divide the number of millilitres by 1000.

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How to convert litres to ml

To convert litres to millilitres, multiply the number of litres by 1000.

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What is 8.5 litres in ml?

  1. 5 litres is equal to 8500 millilitres.
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What is regrouping in addition?

Adding numbers, carrying over to the next column when the sum exceeds the base (e.g., 10 in the decimal system).

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How many hectometers in a kilometer?

1 kilometer is equal to 10 hectometers.

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What is 7 km 5 hm?

7 km and 5 hm

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What is 7 km 4 hm 9 dam?

7 kilometers, 4 hectometers, and 9 decameters.

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7 km 4 hm 9 dam + 6 km 6 hm 3 dam?

Adding 7 km 4 hm 9 dam and 6 km 6 hm 3 dam.

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What are cm and mm?

Centimeters and millimeters.

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What is adding different metric units?

Finding the total length by combining the lengths of each unit separately.

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What is a Ton (t)?

A unit of mass equal to 1000 kilograms.

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What is a Kilogram (kg)?

A unit of mass; 1000 grams make 1 kilogram.

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What is a Gram (g)?

A unit of mass, smaller than a kilogram.

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Borrowing in Subtraction

Convert to the next smaller unit when subtraction isn't possible.

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Tons to Kilograms

1 ton = 1000 kilograms

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Kilograms to Grams

1 kilogram = 1000 grams

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Subtracting Mixed Units (t, kg, g)

Subtract grams, then kilograms, then tons, borrowing when needed.

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Organizing Mixed Units for Subtraction

Separate quantities by their units (t, kg, g) in columns.

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When to Borrow in Subtraction?

When the top number is smaller, borrow from the next column.

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Converting Before Subtracting

Convert larger units to smaller units before subtracting.

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Adding metric lengths

Same units are needed to add lengths.

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Different metric units

Convert to the same unit before adding.

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Subtracting Litres and Millilitres

A method to subtract quantities expressed in litres (l) and milliliters (ml).

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Regrouping in Volume Subtraction

Regrouping 1 litre into 1000 milliliters to perform subtraction.

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Volume Subtraction

To find the difference between two volumes.

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Finding Remaining Volume

To find the remaining amount by subtracting a smaller quantity from a larger one.

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Solve Subtractions

Answer by working out the value of the equation provided

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What is a decimeter (dam)?

A unit of length equal to one-tenth of a meter.

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What is a hectometer (hm)?

A unit of length equal to 100 meters.

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What is a kilometer (km)?

A unit of length equal to 1000 meters.

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How many hm in a km?

1 kilometer is equal to 10 hectometers.

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What is adding lengths?

Add the meters (km, hm, or dam) separately, then combine.

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What is 13 hm?

1 km and 3 hm.

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What is example A?

7 km 5 hm + 4 km 8 hm = 12 km 3 hm

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What is example B?

7 km 4 hm 9 dam + 6 km 6hm 3 dam = 14km 1hm 2dam

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How many hm make 1 km?

1 hm is equal to 10 dam. And 1 km is equal to 10 hm.

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What is a ton?

A unit of mass equal to 1000 kilograms.

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What is a milligram (mg)?

A unit of mass equal to one thousandth of a gram.

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How to convert tons to kilograms?

Converting tons to kilograms involves multiplying the number of tons by 1000 (since 1 ton = 1000 kg).

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How to convert milligrams to grams?

Converting milligrams to grams involves dividing the number of milligrams by 1000 (since 1 g = 1000 mg).

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How to convert grams to kilograms?

Converting grams to kilograms involves dividing the number of grams by 1000 (since 1 kg = 1000 g).

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How to convert grams to milligrams?

Converting grams to milligrams involves multiplying the number of grams by 1000.

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Adding metric units of mass

Start with the smallest unit and work your way up, ensuring to carry over when necessary.

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What is 6 tons in kilograms?

6 tons equals 6,000 kilograms.

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What is 4,250 mg in grams?

4,250 milligrams equals 4.25 grams.

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What is a metric ton?

A metric ton (t) equals 1000 kilograms.

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What is a kilogram?

A kilogram (kg) is a unit of mass in the metric system.

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What is a gram?

A gram (g) is a unit of mass smaller than a kilogram.

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What is a milligram?

A milligram (mg) is a unit of mass smaller than a gram.

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What is a decagram?

A decagram (dag) is a unit of mass equal to 10 grams.

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What is a hectogram?

A hectogram (hg) is a unit of mass equal to 100 grams.

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What is a decigram?

A decigram (dg) is a unit of mass equal to one-tenth of a gram.

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What is a centigram?

A centigram (cg) is a unit of mass equal to one-hundredth of a gram.

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What is a sub gram?

A sub gram (sg) is a division of grams.

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Millimetre (mm)

The smallest metric unit of length.

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Kilometre (km)

The largest metric unit of length.

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Metric Units of Length

Metric units: millimetre, centimetre, decimetre, metre, decametre, hectometre, kilometre.

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Converting Larger to Smaller Units

Multiplying by powers of 10.

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Converting Smaller to Larger Units

Dividing by powers of 10.

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1 Metre (m)

1000 millimetres

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1 Decametre (dam)

A metric unit equal to 10 metres.

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Carrying Over in Addition

In the metric system, you may need to carry over values when adding measurements.

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km to hm conversion

1 kilometer (km) equals 10 hectometers (hm).

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hm to km Conversion

1 km = 10 hm. Convert hm to km when hm is 10 or greater.

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Adding Distances

Adding distances involves adding the numbers and their units (km, hm, dam) separately.

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hm to dam conversion

1 hectometer (hm) is equal to 10 decameters (dam).

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Carrying Over

When adding units, if the sum exceeds the base (e.g., 10 for hm to km), carry over to the next higher unit.

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Adding Metric Units

When adding metric units, the operation should begin with the smallest to the largest metric unit.

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Grams to Kilograms

1000 grams (g) equals 1 kilogram (kg).

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Converting Grams

To convert grams to kilograms, divide the number of grams by 1000.

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Milligrams to Kilograms

1,000,000 milligrams (mg) equals 1 kilogram (kg).

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Converting milligrams to kilograms

To convert milligrams to kilograms, divide the number of milligrams by 1,000,000.

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Unit Conversion

A method to change a measurement from one unit to another.

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Step 1 of Unit Conversion

First, identify the relationship between the two units.

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Smaller to Larger

When converting from a smaller unit to a larger unit, divide.

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Larger to Smaller

When converting from a larger unit to a smaller unit, multiply.

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What is 'taking 1 km or m'?

Converting a larger unit (km, m) into a smaller unit (m, cm) to perform subtraction.

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How many cm in 1 m?

1 meter is equal to 100 centimeters.

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How many meters are in 1 kilometer?

1 kilometer is equal to 1000 meters.

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Sufficient Subtraction

When subtracting, ensure the value being subtracted from is larger than your subrahend.

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Order of Subtraction in Mixed Units

Subtract the centimeters values first, meters second, and kilometers last.

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What is 10 km 160 m 55 cm - 4km 580cm 76cm?

5 km 579 m 79 cm

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What is 26km 580m - 12km 870m?

The answer is 13km and 710m.

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What is 27km 240m 64cm - 14km 860m 95cm

The answer is: 12km 379m and 69cm.

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What is 12m 30cm - 4m 35cm?

The answer is: 7m and 95cm.

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What is Regrouping

A way of rewriting numbers to make subtraction easier.

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What is a meter (m)?

The standard unit of length in the metric system.

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What is a centimeter (cm)?

A unit of length in the metric system, smaller than a meter.

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What is a millimeter (mm)?

A very small unit of length in the metric system.

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Metric Subtraction Rule

Ensure units are the same before subtracting.

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What is length?

The distance from one point to another.

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Meters to Centimeters

1 meter = 100 centimeters

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Decimeter (dm)

A metric unit of length equal to one-tenth of a meter.

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Centimeter (cm)

A metric unit of length equal to one-hundredth of a meter.

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Decameter (dam)

A metric unit of length equal to 10 meters.

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Ton (t)

A metric unit of mass equal to 100 kilograms.

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Kilogram (kg)

A metric unit of mass equal to 1000 grams.

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Hectogram (hg)

A metric unit of mass equal to 100 grams.

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Decagram (dag)

A metric unit of mass equal to 10 grams.

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What is a dekagram (dag)?

Metric unit of mass, equals 10 grams.

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What is a hectogram (hg)?

Metric unit of mass, equals 100 grams.

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What is a decigram (dg)?

Metric unit of mass, equals 1/10 of a gram.

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What is a centigram (cg)?

Metric unit of mass, equals 1/100 of a gram.

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What is a subgram (sg)?

Metric unit of mass, equals 1/100000 of a gram.

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Column Subtraction (l and ml)

Align litres with litres, and milliliters with millilitres, then subtract each column separately.

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Borrowing in l and ml Subtraction

When you don't have enough milliliters to subtract from, borrow 1 liter (1000 ml) from the litres column.

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Litre to Millilitre Conversion

1 litre is equal to 1000 milliliters.

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Writing the Answer (l and ml)

After performing the subtraction, write the result with the appropriate units (l and ml).

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What is a litre (L)?

A unit of volume, commonly used for liquids, equal to 1000 milliliters.

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How many milliliters are in 1 litre?

1000 milliliters (ml)

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Liters to Milliliters Conversion

To convert litres to milliliters, multiply by 1000.

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How many milliliters in 9 litres?

9,000 ml

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Converting mixed litres to millilitres

Take the whole number of litres and multiply by 1000 (since 1 litre = 1000 ml), then addressing any fractional part, and add both results

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6 litres in milliliters

6000 ml

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1/2 Litre in Millilitres

500 ml

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How many milliliters are in 6 1/2 litres?

6500 ml

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How do you Combine millilitre Values?

6000 ml + 500ml = 6500 ml

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What is multiplying in metric conversions?

Converting from a larger unit to a smaller unit.

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What is dividing in metric conversions?

Converting from a smaller unit to a larger unit.

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Litre (l)

Basic unit for measuring volume in the metric system.

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Millilitre (ml)

A smaller unit for measuring volume; 1 litre equals 1000 of these.

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Converting Metric Units (Large to Small)

To change a measurement from a larger unit to a smaller unit.

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Converting Metric Units (Small to Large)

Changing a measurement from a smaller unit to a larger unit.

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Volume Conversion Rule

Multiply when going from liters to milliliters and divide when going from milliliters to liters.

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What is a decimetre (dm)?

A unit of length in the metric system, equal to one tenth of a metre.

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What is a decametre (dam)?

A unit of length in the metric system, equal to 10 metres.

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What does 'convert' mean?

To change a measurement from one unit to another.

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How many metres in a kilometre?

1 kilometre (km) is equal to 1000 metres.

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Metres to Kilometres Conversion

To convert metres to kilometres, divide by 1000.

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3250m to km

3250 metres is equal to 3.25 kilometres.

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What is a decimal?

A decimal can represent parts of a whole number.

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How many centimeters in a metre?

1 metre (m) is equal to 100 centimetres.

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Adding Mass Units

Units of measurement can be added together if they have the same unit.

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Adding Mass Measurements

Add the numbers in each mass column separately (grams with grams, kilograms with kilograms, etc.).

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Aligning Mass Units

Ensure that the same units of mass are aligned in columns before performing addition.

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What is adding mass?

The process of combining multiple quantities of mass to find a total.

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Mass Unit Order?

Milligrams (mg), grams (g), and kilograms (kg).

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Adding Different Mass Units

Convert one unit to another, then add.

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Problem Solving Approach

Break the problem into smaller, manageable steps.

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Tonne to Kilogram Conversion

1 tonne = 1000 kilograms

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Kilogram to Gram Conversion

1 kilogram = 1000 grams

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Adding After Conversion

When converting units, add the converted amount to the existing amount in that unit.

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When to Borrow?

When the top number is smaller than the bottom in subtraction, you borrow from the next higher place value.

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Subtracting Columns

After borrowing and converting, subtract each column (grams, kilograms, tonnes) separately.

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Hectometre (hm)

Metric unit equal to 100 metres.

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What is Mass?

Measure of how heavy an object is.

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What are Metric units of mass?

Metric units used for measuring mass, like grams and kilograms.

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Common metric units of mass

Kilograms, hectograms, decagrams, grams, decigrams, centigrams and milligrams.

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Liters to Milliliters

There are 1,000 milliliters (ml) in 1 litre.

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How to Convert Litres to Milliliters

To convert litres to milliliters, multiply the number of litres by 1,000.

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9 Litres in Millilitres

9 Litres equals 9,000 Millilitres.

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6 Litres Converted

Multiplying 6 litres by 1,000 gives you 6,000 milliliters.

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Tons to Kilograms Conversion

1 ton = 1000 kilograms

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mg to g

Conversion factor from milligrams to grams.

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Grams to Milligrams Conversion

1 g = 1000 mg

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Kilograms to Grams Conversion?

1 kg = 1000 g

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Adding Metric Units - Start Where?

Begin with the smallest metric unit.

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Tons and Kilograms

Units for measuring mass, with 1000 kilograms equaling 1 ton.

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Gram (g)

A unit of mass measurement, smaller than a kilogram.

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Subtracting Metric Mass

Subtracting metric units of mass involves starting with the smallest unit and proceeding to the largest.

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Metric Mass Subtraction Example

An example of metric mass subtraction: 12t 740kg - 6t 420kg.

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Kilogram Subtraction

740 kg - 420 kg = 320 kg.

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Ton Subtraction

12 t - 6 t = 6 t.

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Final Answer (Mass)

The result of subtracting 6t 420kg from 12t 740kg is 6t 320kg.

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Borrowing in Mass Subtraction

When subtracting, if the smaller unit is insufficient, borrowing from the larger unit is required.

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Subtracting with Grams

An example of metric mass subtraction with grams wherein calculation starts with grams, then kilograms, then tons: 6 t 200 kg 550 g - 2 t 300 kg 750 g

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Metric Units of Mass

Metric units for measuring weight; examples include tons (t), kilograms (kg) and grams (g).

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Money in Short Form

Representing money using numerals and decimal points.

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Shilling-Cent Conversion

One shilling equals 100 cents.

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10 Cent Coins in Shillings

To find how many 10 cent coins make 5 shillings.

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Shillings from Multiple Cents

Multiply the number of coins by their value.

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Salary in Short Form

Expressing salary with shillings and cents.

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Addition of Money (Shillings and Cents)

Adding amounts together. Remember 100 cents = 1 shilling

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Value of Money in Words

Determining the written form of a monetary value.

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Shillings and Cents

The monetary units used in Tanzania.

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Adding Shillings and Cents

To find the total amount.

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sh and cts Meanings

Shillings are abbreviated as 'sh' and cents as 'cts'.

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Conversion: Cents to Shillings

100 cents is equal to 1 shilling.

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Adding Cents First

Adding the cents together first, then converting to shillings if over 100.

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Converting Excess Cents

If the total cents are more than 100, convert them into shillings.

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45 cts + 20 cts

Adding 45 cents and 20 cents.

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625 sh + 364 sh

Adding 625 shillings and 364 shillings.

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65 cts + 75 cts

Adding 65 cents and 75 cents results in 140 cents which converts to 1 shilling and 40 cents.

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Dividing Money

Dividing money involves dividing shillings first, then cents.

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Shillings Division

sh 10 ÷ 5 = sh 2

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Cents Division

50 cts ÷ 5 = 10 cts.

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Quotient

The amount in shillings and cents after division.

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Final Answer (Money)

sh 2.10

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Shilling Symbol

The symbol representing the currency.

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Cent

A monetary unit equal to one hundredth of a shilling.

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Division

The process of splitting an amount into equal parts.

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Example of Division

To divide shillings: sh 10 ÷ 5 = sh 2

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Cents to Shillings Conversion

When the sum of the 'cents' column is 100 or more, convert the excess to shillings.

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Separate Addition

Shillings and cents are added separately, with any carry-over from cents added to the shillings.

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Total Amount

The total value expressed in both shillings and cents after adding two or more amounts.

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Adding Currency Values

Adding shillings and cents with proper alignment.

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Sum in Shillings and Cents

The result of adding values expressed in shillings and cents.

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Decimal Alignment

Ensure the decimal points and place values are correctly aligned.

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Columnar Addition

Adding numbers in their respective columns (shillings or cents).

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Addition Operation

The basic operation used to find the combined value of multiple amounts.

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What does 'left with' mean?

The amount of money remaining after deductions or expenses.

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What does the symbol '@' mean in math problems?

A way to express the cost of individual items when buying multiple items.

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What is the total cost of multiple items?

The total cost of multiple identical items.

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What means 'equally among themselves'?

To find out how much one item costs.

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What is an equal share?

The amount received by each person when a total sum is divided equally.

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Tanzanian Currency

The currency used in Tanzania, divided into shillings and cents.

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Tanzanian Cent

A smaller unit of currency in Tanzania; many cents make one shilling.

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Tanzanian Shilling

A unit of currency in Tanzania, made up of 100 cents.

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Currency Forms

Physical money, including coins and paper notes.

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Addition of Shillings

Adding two or more amounts together to find the total.

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Finding Change

The amount remaining after subtracting one amount from another.

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Total Cost Calculation

Multiplying the cost per item by the number of items.

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What is 'left with' in subtraction?

The amount of money remaining after a purchase or deduction.

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What does '@' mean in pricing?

A symbol (@) meaning 'at this price each'.

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How to calculate total cost?

Multiply the quantity of each item by its individual price, then add all the results.

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How to find the price of one item?

Divide the total amount by the number of items.

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How to divide money equally?

Divide the total amount by the number of people.

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Currency Coins in Cents

Coins used as currency, valued in fractions of the main monetary unit.

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Currency Coins in Shillings

Coins used as currency in a specific country, typically representing the base monetary unit.

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Currency Notes

Paper money issued by a central bank, used as a medium of exchange.

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Shilling to Cent Conversion

1 shilling equals 100 cents.

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Writing Money Amounts

Start with the number value, then 'shillings' or 'cents'.

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Abbreviation for Shilling

sh

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Abbreviation for Cents

cts

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Separating Shillings and Cents

Shillings and cents are separated by a dot (e.g., sh 5.50).

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50 Cents in 1 Shilling

There are two 50 cents in 1 Shilling.

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Multiplying Money

Multiplying cents first, then shillings by a number.

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Subtraction

Amounts deducted from an initial value

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Addition

A mathematical operation that increases the quantity

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Multiplication

A mathematical operation to find the total of one number multiplied by another

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Calculate difference

sh. 511.20 - sh. 270.05 = ?

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How much remains?

sh. 770.621.50 - sh. 330.423.30 = ?

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Calculate the remainder

sh. 612.365.35 - sh. 81.155.25 = ?

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Work out the change

sh. 4.505.80 - sh. 2.321.25 = ?

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Find how much is left

sh. 850,000.20 from sh. 1,000,000.00 = ?

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Shilling to Cents

One shilling equals 100 cents.

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Addition of money

Adding different amounts of money together, keeping track of shillings and cents.

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Short form of 'Fifty five thousand shillings and eighty five cents'

sh 55000.85

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Short form of 'Six hundred and forty shillings and five cents'

sh 640.05

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Short form of 'One shilling and fifty cents'

sh 1.50

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Short form of 'Nine hundred and ninety nine thousand, eight hundred shillings and ninety cents'

sh 999800.90

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Short form of 'Fifty shillings and sixty cents'

sh 50.60

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How many 10 cents are in 5 shillings?

50

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How many shillings are 30 times 10 cents?

3

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Meter (m)

The base unit of length in the metric system.

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Converting to smaller units

Changing a measurement from a larger unit to a smaller unit.

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How many ml in a litre?

There are 1000 millilitres in one litre. (1L = 1000ml)

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18,000 ml to litres

18,000 ml equals 18 litres.

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Addition with Conversion

Adding length units (km, hm) with regrouping.

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Adding Hectometers

Adding hectometers (hm) and converting to kilometers (km) when the sum is 10 or more.

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Adding km, hm, and dam

Combining kilometers, hectometers and dekameters by adding each place value and regrouping where necessary.

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Conversion factor: ml to litres

1000

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What is 8500 ml in litres?

8.5 litres

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4 1/2 litres in ml

4500 ml

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14000 ml in litres

14 litres

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What is subtraction?

The process of finding the difference between two quantities or amounts.

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What is addition?

The process of finding the combined total of two or more quantities.

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Volume addition

A method used to calculate totals in volume by adding corresponding metric units (liters and milliliters).

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What is volume?

The amount of space a substance occupies, typically measured in liters (L) and milliliters (mL) in the metric system.

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Subtracting metric units

Separate metric units (liters and milliliters) and subtract. Subtract milliliters first, then liters.

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Adding Lengths

Add lengths only when they share the same units.

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Adding Different Units

Convert different units to the same unit before adding.

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What is a dekameter/decametre(dam)?

A unit of length in the metric system, equal to ten meters (10 m).

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Subtracting Metric Lengths

To subtract metric lengths, they must have the same unit.

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Order of Subtraction

First subtract the centimeters, then the meters.

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Aligning Numbers

When subtracting, align the numbers by their place value (ones, tens, hundreds, etc.).

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Separate Columns

Subtract each place value column separately (cm from cm, m from m).

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Borrowing in Metric Units

If the top number is smaller, you may need to borrow from the next larger unit.

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What is subtracting measurements?

The process of reducing values from different units.

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Subtracting with insufficient grams

Convert to smaller units and then subtract.

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Final value after converting

After borrowing, complete the subtraction.

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How to convert ml to L?

To convert millilitres to litres, divide the number of millilitres by 1000.

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What is 6.5L in ml?

6.5 Litres is equal to 6500 Millilitres.

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What is 18000ml in L?

18000 Millilitres is equal to 18 Litres

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How to subtract metric units?

Subtract the same units, starting from the smallest, working to the largest.

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Subtracting Metric Units of Mass

Subtract the numbers associated with each unit (tons, kilograms, grams) separately.

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Regrouping in Metric Subtraction

When subtracting, if the smaller unit is insufficient, you may need to regroup from a larger unit.

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Tons to Kilograms Relationship

The relationship between tons and kilograms is that 1 ton equals 1000 kilograms.

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Kilograms to Grams Relationship

The relationship between kilograms and grams is that 1 kilogram equals 1000 grams.

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What is conversion?

To change a measurement from one unit to another.

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km → m Calculation

To change kilometres to metres, multiply given km by 1,000.

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m → dm Calculation

To change metres to decimetres, multiply the given metres by 10.

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cm → m Calculation

To change centimetres to metres, divide the given cm by 100.

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18000 ml equals how many litres?

18 litres.

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Same Units Required

Ensuring that all measurements are in the same unit before performing the operation.

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Subtraction with Metric Units

Break down the problem and solve each of its parts.

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Subtracting Centimeters

Subtract the numbers just like regular numbers.

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Subtracting Meters

Subtract like you would do regularly.

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Finding the Difference

The result of the subtraction problem.

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Vertical Subtraction

Align numbers by place value and subtract accordingly.

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Check the Solutions Column

Sometimes the result of the subtraction problem.

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1 Litre equals?

1000 millilitres.

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Volume: Large to Small

Changing from larger to smaller units.

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Volume: Small to Large

Changing from smaller to larger units.

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Large to Small: Multiply or Divide?

Multiply.

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Small to Large: Multiply or Divide?

Divide.

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Volume Measurement

Volume is measured in metric units.

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Adding Tons and Kilograms

Adding quantities with tons (t) and kilograms (kg).

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Steps for Adding t and kg

Add the kg column first, then the t column.

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Steps for Adding g and mg

Add the numbers in the mg column first, then the g column.

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Adding Grams and Milligrams

Adding quantities measured in grams (g) and milligrams (mg).

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What is 4 g 225 mg + 4 g 370 mg?

The total amount of mass when adding 4 g 225 mg and 4 g 370 mg together.

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What is 4 t 450 kg + 3 t 350 kg?

The total mass when adding 4 t 450 kg and 3 t 350 kg.

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What is 10 t 470 kg + 17 t 475 kg?

The total mass when adding 10 t 470 kg and 17 t 475 kg.

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What is 7 t 800 kg combined?

The total is 7 tons and 800 kilograms.

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What is Litres (L) and Millilitres (ml)?

Converting between litres and millilitres.

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How to find spilled water?

Subtract the initial water amount from the remaining water amount in the tank.

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How to find the difference?

Find the difference between two given weights.

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How to find the length of segments?

To find the total length, add the individual lengths of all segments together.

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How to find kerosene in the second tank?

To find the amount in the second tank, multiply the fraction by the amount of kerosene in the first tank.

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How to find the total bought?

Add the individual quantities of each item to determine the total quantity bought.

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How to find the second piece of wood?

Subtract the length of the first piece from the total length to find the length of the second piece.

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What is the relationship between metre and centimetre?

1 metre (m) is equal to 100 centimetres (cm).

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Converting large to small

Changing from larger to smaller units means to do this operation.

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Convert mm to m

To change a measurement from millimeters to meters.

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Convert dm to m

To change a measurement from decimeters to meters.

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Convert cm to m

To change a measurement from centimeters to meters.

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Convert dam to m

To change a measurement from decameters to meters.

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Convert hm to m

To change a measurement from hectometers to meters.

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Convert mm to dm

To change a measurement from millimeters to decimeters.

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Adding same metric lengths

Addition of lengths using the same unit.

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Adding different metric lengths

Addition of lengths using different units.

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Milligrams to Grams

To change milligrams into grams, divide by 1000

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Grams to Milligrams

To change grams into milligrams, multiply by 1000

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Adding Metric Mass Units

Add the smallest units first, then carry over to larger units if needed.

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What is the Metric System?

A system of measurement based on multiples of 10, widely used for length, mass, and volume.

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Subtract Mass Values

kg - g = g

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Subtract Volume Values

l - ml = ml

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Water Spilled Out

The amount of water that left the tank after some spilled out.

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Fish Sales Difference

Kilograms (kg) and tons are measurement units. Find the difference between February and January's sales.

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Total Length

The overall length when multiple segments are adjoined end to end.

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Kerosene in Second Tank

A portion of the kerosene.

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Total Weight

Adding the weights of all items to find the total weight.

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Length of Second Wood Piece

Find the missing length of the second piece.

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Metre to Centimetre

100 centimeters (cm) are equal in length to one meter (m).

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Litres and Millilitres

Units for measuring volume in the metric system. 1 litre (l) = 1000 millilitres (ml)

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Adding Volumes: ml First

Add the millilitres (ml) together first. If the total is 1000 ml or more, convert to litres and millilitres.

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Carrying Over Litres

If the sum of millilitres (ml) exceeds 1000, convert the excess to litres and carry it over.

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Adding Volumes: Litres

Add the litres (l), including any litres carried over from the millilitres addition.

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Combine l and ml

Combine the total litres and the remaining millilitres to get the final answer.

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3 l 600 ml + 4 l 450 ml Example

3 l 600 ml + 4 l 450 ml = 8 l 50 ml

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6 l 550 ml + 3 l 160 ml Example

6 l 550 ml + 3 l 160 ml = 9 l 710 ml

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Conversion of volumes

Convert the millilitres to litres by dividing the number of millilitres by 1000

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Shilling-Cent Relationship

A unit of currency, where 1 shilling equals 100 cents.

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Shillings and Cents Notation

Values in shillings and cents are separated by a dot.

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Combined Currency Notation

Representing money using both shillings and cents.

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Writing Currency Values

Start with the value, followed by the word 'shillings' or 'cents'.

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What is a purchasing problem?

A mathematical problem involving buying multiple items.

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What does the symbol '@' mean?

A symbol that means 'at this price per item'.

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What is the 'total amount paid'?

The total expense for multiple items, calculated by adding individual item costs.

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What is dividing equally?

Dividing a total amount equally among a number of individuals.

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Shilling

The basic unit of currency.

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Two hundred shillings and twenty five cents

sh 200.25

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Fifty five thousand shillings and eighty five cents

sh 55,000.85

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Rozi's salary in short from

sh 315,000.80

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Multiplying Shillings & Cents

A method to multiply amounts in shillings and cents.

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Multiply Cents First

The first step is to calculate the value of the cents first.

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Record Cents Result

After multiplying the cents, write the result in the cents column.

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Multiply Shillings

Multiply the number by the shilling amount.

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Record Shillings Result

Write down the result in the shilling column.

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Combine Shilling and Cent Values

Combine the shilling and cent values.

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Convert Excess Cents

If the result is above 100, convert the cents to shillings.

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Converting Cents to Shillings

To change from cents to shillings, you need to divide by 100.

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Adding converted Shillings

New Shilling value and remaining cents value, adding the shillings together.

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What is Quotient?

The amount of whole units resulting from division.

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What is the 'shilling to cents' conversion?

1 shilling equals 100 cents.

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What is Long Division?

A method for solving division problems.

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What is a Divisor?

The number that divides another number.

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What is a Dividend?

The number being divided.

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What is 'Convert'?

To exchange shillings for cents.

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What is 'Divide'?

To find the number of times one quantity is contained in another.

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What is Currency Value?

The value of money in shillings and cents.

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What is 'Adding Cents'?

Add the cents from the remainder.

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Money Operations

Adding, subtracting, multiplying, or dividing money.

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Money Management Skills

Skills in earning, using, and saving money.

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Value of Money

The value of goods or services.

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Proper Change

The money you receive back after a purchase.

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Word Problems (Money)

Solving real-life money related questions.

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Shillings & Cents Division

The procedure for dividing amounts in shillings and cents.

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What is Remainders conversion?

To convert the amount left over after division into another measurement.

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What is the Quotient?

The result you get after dividing one number (the dividend) by another (the divisor).

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How many cents in a shilling?

100 cents.

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What are Steps to solving?

A step-by-step method to solve a math problem.

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What are Remainders?

The amount that is left over after dividing a quantity into equal groups.

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Short Form for Shillings and Cents

Representing shillings and cents together (e.g., sh 500.50).

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Writing Money in Words

sh 700.00 written as 'seven hundred shillings'.

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Short Form Example

sh 1 200 and 70 cts written as sh 1 200.70.

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sh 1 100.20 in words

Representing one thousand one hundred shillings and twenty cents using 'sh' symbol

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sh 5 088.35 in words

Five thousand and eighty eight shillings and thirty five cents.

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sh 75 400.10 in words

Seventy-five thousand four hundred shillings and ten cents

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sh 230 000.70 in words

Two hundred and thirty thousand shillings and seventy cents.

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What is total cost?

Multiplying a quantity by a number to find the total cost.

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What is a word problem?

A mathematical problem presented in a real-life scenario.

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What are shillings?

Kenyan currency; 100 cents equals one shilling.

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What are cents?

A smaller unit of Kenyan currency; 100 cents make one shilling.

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How do you find total price?

sh 23 500.50 × 11 = sh 258 505.50

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What is the next step?

sh 350 000-sh 127 500 = sh 222 500

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How to calculate the total cost with quantity and price?

To determine the total cost, multiply the quantity of each item by its price, and then add up these subtotal amounts.

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What does 'divided equally' mean?

The amount each person receives when dividing equally.

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Carrying Over in sh/cts Addition

When adding shillings and cents, if the sum of the 'cts' column exceeds 99, convert the excess into shillings and carry it over to the 'sh' column.

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Adding in Columns

Arrange the shillings and cents in columns, then add each column separately.

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Adding the Cents Column

First, add the 'cts' column. If the result is 100 or more, convert 100 'cts' to 1 'sh' and carry-over.

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Adding the Shillings Column

After adding the 'cts', add the 'sh' column, including any carry-over from the 'cts' column.

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Shilling Division Step

sh 10 ÷ 5 = sh 2; write 2 in the shillings position.

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Cent Division Step

50 cts ÷ 5 = 10 cts; write 10 in the cents position.

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Final Money Division Answer

The answer representing both shillings and cents after division.

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sh 10.50 ÷ 5 = ?

sh 2.10

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Adding Money

Adding amounts of money.

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What is expanded addition?

Breaking down numbers to add.

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What is adding in columns?

A method of calculation.

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How to add quantities?

Adding money with different place values.

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What is Place Value?

The value of a digit based on its position.

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What is carrying over?

Regrouping a part of a whole.

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What is the sum?

Total resulting from addition.

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What is the difference?

The amount left after subtracting one number from another.

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How do you subtract cents?

Subtract the smaller amount.

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What requires regrouping?

When the top digit is smaller than the bottom digit.

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sh to cts conversion

sh 1 is equal to 100 cts

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What does keep columns aligned mean?

Lining up digits by place value before computing

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What is the answer?

The result of the operation

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How do you subtract shillings?

Decreasing the amount of shillings

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Subtracting Shillings & Cents

When subtracting amounts in shillings and cents always ensure that you handle the cents column first and adjust the shillings accordingly.

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Borrowing in Shilling Subtraction

If the cents to be subtracted is larger than the cents available, borrow 1 shilling (100 cents) from the shillings column.

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Adding Borrowed Cents

After borrowing 1 shilling (100 cents), add these cents to the existing cents before subtracting.

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Shilling Subtraction

After subtracting the cents, subtract the shillings.

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Align & Subtract

Align shillings and cents, then subtract each column separately.

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Subtracting Cents

Subtract the cents side, if the cents on top is smaller than the bottom, you need to borrow one shilling (100 cents).

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Add Cents

Combine, Add, Subtract

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Subtract Shillings

Subtract the shillings.

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Calculating Remaining Money

Subtracting the amount used from the initial amount.

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What are Shillings and Cents?

Currency consisting of shillings and cents

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What are Addends?

The numbers to be added together in an addition problem.

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What is Column Addition?

Arranging numbers in columns by place value (ones, tens, etc.) to simplify addition.

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Place Value

The value of a digit based on its position in a number (e.g., ones, tens, hundreds).

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Lining up Decimals

Writing the problem vertically, aligning the decimal points.

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How to Change Shillings to Cents

Convert shillings to cents by multiplying by 100.

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Dividing Shillings and Cents

To divide shillings and cents, first divide the shillings, convert any remainder to cents, and then add to the original cents before dividing again.

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How to divide currency

Separate the shillings from the cents and solve each individually.

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Converting Shilling Remainders

When dividing currency, a remainder in shillings must be converted to cents before dividing the cents.

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What does it mean to Account all currency?

This indicates that all currency has been accounted for and confirms the final price after calculation.

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Division Answer Layout

When dividing, write down the answer for each denomination in the correct place value.

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What does Re-Divided mean?

If there's still currency left over, it needs to be re-divided into smaller denominations.

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Subtracting Money

A method for finding the difference between two amounts of money.

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Steps for Subtracting Money

Start with the cents, then subtract the shillings.

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Cents (cts)

The smaller monetary unit in this context.

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Shilling (sh)

The primary unit of currency.

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Difference

The amount you get after subtracting one number from another.

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1 Shilling =

100 cents

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Converting Shillings to Cents

Exchange one shilling for 100 cents to perform subtraction.

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Column Arrangement

Arranging numbers in columns by place value to perform arithmetic operations.

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Result of Subtraction

The answer you get from a subtraction problem.

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What is profit?

The difference between the selling price and the cost price.

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Total Yearly Deposits

The total money Juma will deposit in one year.

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Equal Share

The amount of money each child received.

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Combine total monthly salaries

The sum of all salaries of three employees.

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Combine cost of x3 cupboards

The total expense of the 3 cupboards.

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Subtraction of Money

A method for finding the difference between two amounts of money.

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Steps for Money Subtraction

Subtract the cents first, then the shillings.

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Difference (in Subtraction)

The result of subtracting one amount from another.

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Borrowing in Subtraction (Money)

Rename one shilling from the shillings column to cents for subtraction.

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Remainder in Subtraction

The amount left over after subtracting one amount from another.

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Units in Money Subtraction Answer

Expressing answer using the correct units (shillings and cents).

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Dividing Shillings

First, divide the total shillings by the number of groups.

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Dividing Cents

Next, divide the total cents by the same number of groups.

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Example Shilling Division

sh 10 ÷ 5 = sh 2

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Example Cent Division

50 cts ÷ 5 = 10 cts

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Money Division Steps

Separate shillings and cents, divide each, then combine the results.

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Complete Division Example

sh 10.50 ÷ 5 = sh 2.10

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Adding Cents & Shillings

Adding cents to shillings involves ensuring the total cents do not exceed 99 before converting excess cents to shillings.

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Subtracting Cents & Shillings

Subtract the cents first; if you can't, borrow 1 shilling (100 cents) from the shillings column.

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Shilling Subtraction Steps

First, adjust the cents if needed, then subtract the shillings.

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How to do subtraction?

A method for solving problems involving subtraction of shillings and cents amounts.

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Column Alignment

Always align place values (shillings and cents columns) correctly.

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Shilling Notation

Represented to the left of the decimal point.

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Cent Notation

Represented to the right of the decimal point.

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What is Multiplicative Cost?

Calculating the total cost for multiple items when you know the price of one.

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What is Remaining Amount?

The amount remaining after a deduction.

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What is Currency?

The monetary unit. In this context, shillings (sh) and cents (cts).

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What is 23,500.50 x 11 in shillings?

sh 23 500.50 × 11 = sh 258 505.50

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How to find remaining money?

sh 350 000 - sh 127 500

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What are Problem-Solving Strategies?

A method to solve problems that involve real-world scenarios.

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What is Problem Analysis?

Analyzing the information, defining variables, and creating a plan.

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What is 111.20 ÷ 20?

The result of finding sh 111.20 ÷ 20

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Basic Money Operations

Adding, subtracting, multiplying, and dividing money.

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Obtaining Change

Process of receiving money back when paying more than the exact amount.

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Steps for Adding Shillings and Cents

Add the cents first, then shillings.

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Writing Cents

Write 65 in the cents column.

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Writing Shillings

Write 989 in the shillings column.

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Convert 140 Cents

140 cents is equal to 1 shilling and 40 cents.

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Money Subtraction

Finding the difference between two amounts of money.

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Subtracting Shillings

The value of the shillings after subtracting.

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Insufficient Cents

When the top number (minuend) of cents is smaller than the bottom number (subtrahend).

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Adjusting Cents After Borrowing

Adding 100 cents to the original.

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Adjusting Shillings After Borrowing

Reduce original shillings taken.

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Remaining total

The amount of money that you end up with

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Multiplying Cents First

The starting point for multiplying money amounts.

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What is Converting Remainders?

Converting a remainder into smaller units to continue division.

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Multiplication of Money

Multiplying shillings and cents by a number.

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What is the Divisor?

The number by which another number is divided.

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Multiplication Result

The total amount when multiplying money.

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Finding Total Value

Finding the total value after multiplying.

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Multiplying with Money

Multiplying money with a whole number.

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Operations Involving Money

Adding Shilling value amounts

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Remainder to Cents

If there's a remainder when dividing shillings, convert it to cents.

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Adding Cents

Add any existing cents to the converted remainder (in cents).

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Combining Shillings and Cents

Write the shillings and cents parts together, separated by a decimal point.

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Total Money Value

The total value when combining two or more monetary amounts.

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Cents to Shillings

Ensure cents do not exceed 99; if they do, convert to shillings and add.

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Align Place Values

Lining up numbers by place value (shillings, then cents) before adding.

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Adding Shillings

Adding the 'sh' value, and writing the sum in the 'sh' column.

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What is a solution strategy?

The steps used to solve a mathematical problem, like subtraction.

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What does convert shillings to cents mean?

To exchange one shilling for 100 cents, which is equal in value.

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What is money subtraction?

Dealing with money in the form of shillings and cents.

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What is Balancing?

Ensure both sides of the equation maintain equality.

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What is insufficient subtraction?

When subtracting cents, if the starting amount is smaller than the amount subtracted

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What is currency conversion?

When one shilling equals 100 cents.

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What is exchange rate?

To take one currency and convert it into another

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Multiply Cents

The amount in cents after multiplying.

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Cents Column

After multiplying, write cents here.

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Shillings Column

Write shillings here after multiplying.

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Convert Cents

Changing cents to shillings.

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Cents Overflow

When the cents exceed 100.

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Adjusted Shillings

The total after converting cents.

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Verify Answer

Ensure the answer is complete.

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Accuracy

To ensure you get the right amount of shillings and cents after multiplication and conversion.

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Borrowing in Cents

If the 'cents' part of a subtraction problem needs borrowing, 'borrow' 100 cents from the shillings.

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Subtract Shillings and Cents

A monetary exercise involving subtraction of shillings and cents.

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Shillings and Cents Subtraction

Deals with money in the form of shillings(sh) and cents(cts).

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Borrowing for Subtraction

When subtracting shillings and cents, and the cents in the top number is smaller than the cents in the bottom number.

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Adding Cents Before Subtraction

Adding cents to the initial value before subtracting.

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What is a Shilling?

A monetary unit of Tanzania.

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Study Notes

  • The square root of a number can be found using a tree diagram

Steps to find the square root using a tree diagram

  • Write the square root out, √64
  • Generate the product of prime factors of 64 √64 = √2×2×2×2×2×2
  • Arrange like factors into groups of two√64 = √(2 × 2) × (2 × 2) × (2 × 2)= √2 × 2 × √2×2×2×2
  • √2 × 2 = 2, so √64 = √2 × 2 × √2 × 2 × √2 × 2 = 2 × 2 × 2= 8 Thus, √64 = 8

Steps to find the prime factors of 676 by division

  • Express 676 as a product of its prime factors; meaning 676 = 2 x 2 x 13 x 13
  • The product of the prime factors of 676 is: √676 = √2 x 2 x 13 x 13
  • Arrange the factors into two equal groups: √676 = √(2 x 2) x (13 x 13) = (√2 x 2) x (√13 x 13)
  • Since √2 x 2 = 2 and √13 x 13 = 13, √(2 x 2) x (13 x 13) = 2 x 13 = 26
  • √676 = 26

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Description

Learn how to calculate square numbers up to 10,000 and solve related word problems. This chapter explains how to determine the square root of numbers up to three digits. The knowledge applies to measuring, describing computer memory, and understanding growth phenomena.

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