PE5MA 1-4
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Questions and Answers

What number is represented by seven ten thousands, eight thousands, four hundreds, six tens and eight ones?

  • 70,868
  • 78,468 (correct)
  • 78,486
  • 78,648

Which of the following represents nine ten thousands, two thousands, zero hundreds, eight tens and seven ones?

  • 90,287
  • 92,087 (correct)
  • 90,087
  • 92,870

If an abacus has 4 beads on the 'Thousands' rod, 9 beads on the 'Hundreds' rod, 1 bead on the 'Tens' rod, and 8 beads on the 'Ones' rod, what number is represented?

  • 490018
  • 4000900108
  • 4918 (correct)
  • 491

If you have ten number cards each with a value of ten thousand, what is the total value?

<p>One hundred thousand (A)</p> Signup and view all the answers

How would you correctly read the number 506,012?

<p>Five hundred and six thousand and twelve (C)</p> Signup and view all the answers

Which of the following scenarios requires counting by grouping instead of one by one?

<p>Counting grains of rice in a 5kg bag. (C)</p> Signup and view all the answers

What number do you get when you combine one ten thousand, eight thousands, nine hundreds, zero tens and one ones?

<p>18,901 (B)</p> Signup and view all the answers

An abacus shows the number 23,047. If one bead is removed from the 'Thousands' rod and added to the 'Hundreds' rod, what number is now represented?

<p>22,147 (D)</p> Signup and view all the answers

Which of the following numbers has a zero in the 'Tens' place?

<p>4,308 (B)</p> Signup and view all the answers

Which of the following represents the number 'Twenty-three thousand, six hundred and forty-two'?

<p>23,642 (B)</p> Signup and view all the answers

In the number 829,451, what place value does the digit '2' represent?

<p>Ten Thousands (B), Ten Thousands (C)</p> Signup and view all the answers

What number is represented by five ten thousands, two thousands, zero hundreds, three tens and nine ones?

<p>52,039 (A)</p> Signup and view all the answers

What is the place value of the digit '5' in the number 352,862?

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

Which of the following numbers is formed by adding 1 to 99,995?

<p>100,000 (B)</p> Signup and view all the answers

What number comes three steps after 2,153, if each step involves adding 1?

<p>2,156 (A)</p> Signup and view all the answers

Which of the following numbers has a '2' in the hundred thousands place?

<p>200,001 (A)</p> Signup and view all the answers

If you subtract 1,000 from 290,050 three consecutive times, what is the resulting number?

<p>287,050 (A)</p> Signup and view all the answers

Starting with 12,456, if you add 5 three times consecutively, what is the final number?

<p>12,471 (D)</p> Signup and view all the answers

What number is formed by adding 5 to 'Two hundred thousand' twice?

<p>200,010 (B)</p> Signup and view all the answers

What number comes three steps before 305,005, if each step involves subtracting 5?

<p>305,020 (A)</p> Signup and view all the answers

What number is formed by adding 5 to 'Fifteen thousand' and then adding 5 again?

<p>15,010 (B)</p> Signup and view all the answers

What is the total value of the digit 7 in the number 573,291?

<p>70,000 (A)</p> Signup and view all the answers

Which of the following numbers has a digit with a total value of 500?

<p>6,582 (B)</p> Signup and view all the answers

In the number 82,496, what is the difference between the total value of the digit 8 and the total value of the digit 4?

<p>79,600 (A)</p> Signup and view all the answers

Which expression represents the expanded form of the number 29,053?

<p>20,000 + 9,000 + 50 + 3 (B)</p> Signup and view all the answers

What number is represented by the expanded form 60,000 + 4,000 + 20 + 8?

<p>64,028 (A)</p> Signup and view all the answers

Which digit in the number 36,841 has a total value closest to 800?

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

If a number is written as 30,000 + 700 + 5, which digit occupies the tens place?

<p>0 (C)</p> Signup and view all the answers

What is the total value of the digit in the ten-thousands place in the number 987,654?

<p>80,000 (A)</p> Signup and view all the answers

A number has 5 in the thousands place, 2 in the tens place, and 9 in the ones place. All other places are zero. What is the number?

<p>5,029 (C)</p> Signup and view all the answers

What is the sum of the total values of all the digits in the number 123?

<p>123 (D)</p> Signup and view all the answers

A company has 9 containers labeled with '10,000 tablets'. If these are the only containers with that label, what total number of tablets do these containers hold?

<p>90,000 tablets (B)</p> Signup and view all the answers

A pharmaceutical company has 10 containers, each labeled to hold 1,000 tablets. These containers are stored alongside others. How many tablets are contained within the 10 containers?

<p>10,000 tablets (C)</p> Signup and view all the answers

If a company has 9 containers with 10,000 tablets each, 10 containers with 1,000 tablets each, and 9 containers with 100,000 tablets each, what is the total number of tablets?

<p>1,000,000 tablets (A)</p> Signup and view all the answers

What is the place value of the digit '1' in the number 1,000,000?

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

What number comes immediately before 300,000 in a sequence where the numbers increase by 100,000?

<p>200,000 (C)</p> Signup and view all the answers

Identify the missing number in the sequence: 729,590, ______, 729,570, 729,560.

<p>729,580 (C)</p> Signup and view all the answers

What is the number that comes after 142,000 in a sequence where numbers increase by 1,000?

<p>143,000 (A)</p> Signup and view all the answers

Starting from 699,200, what are the next three numbers in a sequence that increases by 100 each time?

<p>699,300, 699,400, 699,500 (C)</p> Signup and view all the answers

Starting from 300,000, list the subsequent three numbers in a sequence where each number increases by one hundred.

<p>300,100, 300,200, 300,300 (C)</p> Signup and view all the answers

If you start at 100,480 and increment by one hundred three times, what does the sequence look like?

<p>100,580, 100,680, 100,780 (D)</p> Signup and view all the answers

You have 3 containers with 100,000 tablets each, 5 containers with 10,000 tablets each, and 7 containers with 1,000 tablets each. What is the total number of tablets?

<p>357,000 (C)</p> Signup and view all the answers

If you have seven containers filled with 100,000 shillings each, what is the total amount of money you have?

<p>700,000 shillings (A)</p> Signup and view all the answers

A store has 5 packages containing 1,000,000 tablets each. If they sell 2,300,000 tablets, how many tablets remain?

<p>2,700,000 tablets (A)</p> Signup and view all the answers

A school needs 750,000 sheets of paper for the year. If paper is sold in packs of 100,000 sheets, how many packs does the school need to buy?

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

A charity wants to distribute 900,000 food packages equally among 9 districts. How many packages will each district receive?

<p>100,000 packages (A)</p> Signup and view all the answers

How many hundreds are there in ten thousand?

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

Which of the following numbers has the digit 5 in the hundreds place?

<p>19,574 (A)</p> Signup and view all the answers

Which of the following numbers has the digit 1 in the ones place?

<p>99,861 (B)</p> Signup and view all the answers

Which of the following numbers has the digit 4 in the thousands place?

<p>74,200 (A)</p> Signup and view all the answers

What is the place value of the digit 7 in the number 27,256?

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

Consider the sequence: 10,000, 20,000, 30,000,... If the pattern continues, what are the next three numbers?

<p>40,000, 50,000, 60,000 (D)</p> Signup and view all the answers

If you start at 99,995 and count four steps forward, what is the final number you will reach?

<p>99,999 (D)</p> Signup and view all the answers

You have the digits 9, 1, 5, 2, and 8. What is the difference between the largest and smallest numbers you can form using each digit only once?

<p>66,921 (D)</p> Signup and view all the answers

What number is 10,000 less than 100,000?

<p>90,000 (B)</p> Signup and view all the answers

A store sold 1,245 items one day, 1,580 items the next day, and 987 items the third day. How many items were sold in total over the three days?

<p>3,812 (D)</p> Signup and view all the answers

If you have 57,392 and subtract 1,000, then subtract 100, and finally add 10, what is the resulting number?

<p>56,402 (C)</p> Signup and view all the answers

Which of the following numbers is closest to 73,489?

<p>73,500 (D)</p> Signup and view all the answers

In the chalk counting basin example, what is the total value represented by the pieces of chalk in the 'Thousands' and 'Ten Thousands' places combined?

<p>52,000 (D)</p> Signup and view all the answers

If the number of 'Hundreds' chalk pieces was doubled and the number of 'Ones' chalk pieces was halved, what would be the new number represented in the chalk counting basin?

<p>352,861 (D)</p> Signup and view all the answers

Suppose you have the amount of shillings from the one thousand shillings notes (9,000) and you want to distribute these equally among 10 people. How much money will each person get?

<p>900 shillings (B)</p> Signup and view all the answers

If the total amount of money is 100,000 shillings, and you spend 1/4 of it, how much money do you have left?

<p>75,000 shillings (B)</p> Signup and view all the answers

If the number of chalk pieces in each place value (Ones, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands) was increased by 1, what number would be represented?

<p>463,973 (B)</p> Signup and view all the answers

Given the chalk counting basin, if you remove 1 chalk piece from the 'Ten Thousands' place and add it to the 'Hundreds' place, what new number is represented?

<p>342,962 (A)</p> Signup and view all the answers

What is the difference between the value represented by 3 pieces of chalk in the Hundred Thousands place and the value represented by 6 pieces of chalk in the Tens place?

<p>299,940 (A)</p> Signup and view all the answers

If you combine the total value of the two five hundred shilling notes with the value represented by 8 chalk pieces in the hundreds place, what is the combined total value?

<p>1,800 shillings (B)</p> Signup and view all the answers

If you have 100,000 shillings and decide to exchange it for one thousand shilling notes, how many notes will you receive?

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

Suppose the number of chalk pieces in the 'Thousands' place represents the number of thousands of bags of grain a farmer harvests. Each bag weighs 50 kg. What is the total weight of the grain harvested in kilograms?

<p>100,000 kg (D)</p> Signup and view all the answers

If you start at 300,000 and add 40,000 repeatedly, what is the third number in the sequence?

<p>380,000 (B)</p> Signup and view all the answers

Following the pattern of adding 40,000 to the previous number, how many steps are needed to reach exactly 500,000 starting from 300,000?

<p>5 (C)</p> Signup and view all the answers

What is the value of seven packages each containing one hundred thousand shillings?

<p>700,000 shillings (C)</p> Signup and view all the answers

How many packages of one hundred thousand shillings are needed to make two million shillings?

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

If someone has 5 packages of one hundred thousand shillings and spends two hundred thousand shillings, how much money do they have left?

<p>Three hundred thousand shillings (C)</p> Signup and view all the answers

A school needs three million shillings for repairs. If they have already raised nine packages of one hundred thousand shillings, how much more money do they still need?

<p>Two million, one hundred thousand shillings (B)</p> Signup and view all the answers

What is the sum of four hundred thousand, six hundred thousand, and one million?

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

If you have two packages of 100,000 shillings and spend 50,000 shillings from each package, how much money is remaining in total?

<p>150,000 shillings (C)</p> Signup and view all the answers

A charity aims to collect 1,000,000 shillings. They receive individual donations of 100,000, 250,000, and 350,000 shillings. How much more do they need to reach their goal?

<p>300,000 shillings (C)</p> Signup and view all the answers

What is the difference between one million shillings and the sum of three hundred thousand shillings and four hundred thousand shillings?

<p>300,000 shillings (B)</p> Signup and view all the answers

How many one thousand shilling notes are mentioned?

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

How much money do the five hundred shilling notes total?

<p>Sh 1,000 (C)</p> Signup and view all the answers

What is the total amount of money when you add all the notes?

<p>Sh 100,000 (B)</p> Signup and view all the answers

In the counting basin, how many pieces of chalk are in the 'Ones' place?

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

How many chalk pieces are in the 'Tens' place?

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

In the example of the chalk counting basin, how many pieces of chalk are in the Hundreds place

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

How many pieces of chalk are in the Thousands place?

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

Which of these numbers is read as 'One hundred thousand and six'?

<p>100,006 (A)</p> Signup and view all the answers

How is the number 254,000 read?

<p>Two hundred fifty-four thousand (B)</p> Signup and view all the answers

Which of the following numbers is the smallest?

<p>616,666 (D)</p> Signup and view all the answers

What number is read as 'Five hundred thousand seven hundred and nine'?

<p>500,709 (A)</p> Signup and view all the answers

According to Figure 5, what is contained within the package?

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

If you have two containers labeled with '1,000,000 tablets' each, how many tablets do you have in total?

<p>2,000,000 tablets (B)</p> Signup and view all the answers

How many containers labeled '100,000' are needed to have a total of 300,000?

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

What is the total value of the digit 1 in the number '100,000'?

<p>100,000 (C)</p> Signup and view all the answers

If a container has 100,000 tablets, how many tablets would 5 such containers contain?

<p>500,000 (A)</p> Signup and view all the answers

What number is shown by counting nine containers, each containing 100,000 tablets?

<p>900,000 (C)</p> Signup and view all the answers

If you have 3 containers with 10,000 tablets each and 2 containers with 1,000 tablets each, what is the total number of tablets?

<p>32,000 (A)</p> Signup and view all the answers

How many one hundred thousand notes make one million?

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

What number comes after 899,000 when counting by one thousand?

<p>900,000 (C)</p> Signup and view all the answers

Using the digits 4, 2, 9, 7, 8, and 1 once each, what is the largest number you can form?

<p>987,421 (B)</p> Signup and view all the answers

If you start at five hundred thousand and count by adding one thousand each time, what is the next number?

<p>501,000 (C)</p> Signup and view all the answers

What number comes immediately after 270,000 when counting by ten thousands?

<p>280,000 (B)</p> Signup and view all the answers

What is $270,000 + 10,000$?

<p>280,000 (B)</p> Signup and view all the answers

Which digit changes when you add 10,000 to 270,000?

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

What does the total value of a digit in a number represent?

<p>How much the digit is worth (D)</p> Signup and view all the answers

In the number 479,651, what is the total value of the digit 7?

<p>70,000 (D)</p> Signup and view all the answers

If you have 270,000 and need to get to 350,000 by adding 10,000 each time, how many steps are needed?

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

What expression describes counting from 270,00 to 300,000 by adding 10,000?

<p>$270,000 + 30,000$ (C)</p> Signup and view all the answers

What is the place value of the digit 9 in the number 89,670?

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

What is the expanded form?

<p>A number written as the sum of the total values of its digits. (D)</p> Signup and view all the answers

In the number 479,651, what digit is in the hundreds place?

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

What is the total value of 5 in the number 479,651?

<p>50 (A)</p> Signup and view all the answers

In the number 89,670, what is the value of the digit 8?

<p>80,000 (C)</p> Signup and view all the answers

What is the smallest place value in the number 479,651?

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

What is 'Seven hundred eighty-nine thousand' written in numerals?

<p>789000 (B)</p> Signup and view all the answers

How is 'One hundred seven thousand five hundred and five' written as a numeral?

<p>107505 (D)</p> Signup and view all the answers

What is 'Two hundred sixty-six thousand and eight' in numeral form?

<p>266008 (D)</p> Signup and view all the answers

Which number comes next in the sequence: 200,200; 200,400; 200,600; 200,800; ______?

<p>201,000 (D)</p> Signup and view all the answers

How many hundreds are there in 10,000?

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

Which number below has the digit 7 in the tens place?

<p>19,574 (D)</p> Signup and view all the answers

Which number has the digit 1 in the ones place?

<p>99,861 (D)</p> Signup and view all the answers

In the number 27,256, what is the place value of the digit 5?

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

Which number among the options has the digit 4 in the thousands place?

<p>74,200 (A)</p> Signup and view all the answers

What is 12,767 written in words?

<p>Twelve thousand seven hundred and sixty-seven (A)</p> Signup and view all the answers

How is 'Ten thousand and five' written in numerals?

<p>10,005 (B)</p> Signup and view all the answers

Which of the following is NOT a whole number?

<p>3.5 (B)</p> Signup and view all the answers

Which of these numbers is a whole number?

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

Which of the following is a list of consecutive whole numbers?

<p>1, 2, 3, 4 (B)</p> Signup and view all the answers

If you count from 1 to 10, how many whole numbers do you count?

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

What is the smallest whole number?

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

Which of the following is true about whole numbers?

<p>They start at zero and go up. (B)</p> Signup and view all the answers

Which of the following number comes immediately before 1?

<p>0 (A)</p> Signup and view all the answers

What is the smallest number you can make using the digits 4, 2, 9, 7, 8, and 1 each only once?

<p>124,789 (D)</p> Signup and view all the answers

What is the value of the 'Thousands' if an abacus has 6 beads in that place?

<p>6,000 (C)</p> Signup and view all the answers

If counting is done by adding one thousand each time, what number comes after 501,000?

<p>502,000 (A)</p> Signup and view all the answers

What digit is in the hundreds place in the number 275,391?

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

What is the value of the digit 2 in the number 275,391?

<p>200,000 (A)</p> Signup and view all the answers

Which of the following numbers is read as 'Two hundred fifty-four thousand'?

<p>254000 (A)</p> Signup and view all the answers

Which of the following numbers is read as 'One hundred thousand and six'?

<p>100006 (A)</p> Signup and view all the answers

In the number 34,789, which digit is in the 'Tens' place?

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

When reading numbers, which place value do you start with?

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

Which of the following numbers has a 7 in the thousands place?

<p>123,789 (D)</p> Signup and view all the answers

What is the place value of the digit '9' in the number 569,234?

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

What number is represented by an abacus with 1 bead in the Thousands rod, 2 beads in the Hundreds rod, 3 beads in the Tens rod, and 4 beads in the Ones rod?

<p>1,234 (C)</p> Signup and view all the answers

Which of the following numbers has a '5' in the ten thousands place?

<p>152,346 (D)</p> Signup and view all the answers

Which number is the greatest: 444,144; 444,444; 444,441; 434,444; 414,444?

<p>444,444 (A)</p> Signup and view all the answers

Which of the following numbers is smallest: 661,256; 663,666; 666,166; 666,646; 616,666?

<p>616,666 (D)</p> Signup and view all the answers

What is the value of the digit 9 in the number 392,527?

<p>90,000 (D)</p> Signup and view all the answers

What is the value of the digit 9 in the number 418,692?

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

What number comes after 99,999?

<p>100,000 (D)</p> Signup and view all the answers

When reading numbers, you should consider the place value of digits starting from the rightmost digit and moving to the leftmost digit.

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

The number 105 202 is read as 'One hundred and five thousand two hundred and twenty'.

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

In the number 579 711, the digit 9 represents a value of nine thousand.

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

The number 434 444 is greater than the number 444 144.

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

The number 661 256 is smaller than the number 616 666.

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

The number three hundred fifty-two thousand eight hundred and sixty-two can be written in numeral form as 352862.

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

Subtracting 2 successively from 1200 will result in the following sequence: 1200, 1198, 1196, 1194.

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

Adding 1 successively to 99995 results in 99996, 99997, and 99998.

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

In the number 65232, the digit 6 is in the ten thousands place.

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

Subtracting one thousand successively from 400000 results in: 400000, 399000, 398000, 397000.

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

A package containing one million Tanzanian shillings is represented in Figure 5.

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

Adding 5 successively to 12456 results in: 12456, 12461, 12466 and 12471.

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

Adding 5 successively to 'Two hundred thousand' results in 'Two hundred thousand', 'Two hundred thousand and five', 'Two hundred thousand and ten', and 'Two hundred thousand and fifteen'.

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

If you have 10 containers, each labeled with 100,000 tablets, the total number of tablets would be one million.

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

According to the example, if there are 9 containers labeled with 100,000 tablets each, the total number of tablets is 800,000.

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

If you have 5 containers with 200,000 tablets each, you possess one million tablets in total.

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

The example encourages counting containers to find the difference in number of tablets.

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

If you had two packages of one million shillings each, as illustrated, their combined value would be five million shillings.

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

The provided example shows a scenario involving the counting of drug containers to determine the total number of liquids.

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

If a container is labeled with 10 0 00 tablets, this is the same as 100,000 tablets.

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

If there are four containers each containing one million tablets, the total number of tablets across all containers is four million tablets.

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

Containers holding tablets are arranged with the intent to determine the total only based on visual appeal.

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

If there are 9 containers labeled with 10,000 tablets each, then the total number of tablets in these containers is 900,000.

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

Ten containers, each holding 1,000 tablets, will collectively contain 100,000 tablets.

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

Combining 900,000 tablets, 90,000 tablets, and 10,000 tablets results in a total of one million tablets.

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

Writing the number of counters in the counting basin in words and numerals is a direct application of place value understanding.

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

In the number 1,000,000 the place value of the digit 1 is in the 'hundred thousands' place.

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

The next number in the sequence 100,000, _______, 300,000, 400,000, _______ is 150,000.

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

When counting from 300,000 to 500,000 by increments of forty thousand, the number 380,000 will be included.

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

The sequence 729,600, 729,590, _______, _______, _______, 729,550, 729,540 decreases by 10 each time.

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

To continue the pattern 699,200, _______, _______, _______ by adding one hundred to the previous number, the next number in the sequence would be 699,250.

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

If you start at 300,000 and count by increments of forty thousand, you will reach 510,000 before reaching 500,000.

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

If you start with 300,000 and continue a pattern by adding one hundred to the previous number, after three steps, the number will be 300,300.

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

Ten packages, each containing one hundred thousand shillings, amount to ten million shillings.

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

Continuing the sequence 100,480, _______, _______, _______ by adding one thousand each time, the subsequent numbers are 101,480, 102,480 and 103,480.

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

One million shillings is equivalent to ten groups of one hundred thousand shillings.

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

Five packages of one hundred thousand shillings each add up to five hundred shillings.

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

Counting from 300,000 to 500,000 by increments of fifty thousand includes the number 350,000.

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

Counting upwards from 300,000 to 500,000 using increments of forty thousand will result in an equal number of steps as counting by increments of fifty thousand.

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

If you have 20 packages of one hundred thousand shillings, you possess two million shillings.

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

Counting from 300,000 upwards, increasing by increments of forty thousand will result in landing exactly on the number 450,000.

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

Figure 1 displays ten thousand shilling notes.

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

Figure 3 shows five hundred shilling notes.

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

There are nine ten thousand shilling notes shown in the image of Figure 1.

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

Nine ten thousand shilling notes are equal to 900,000 shillings.

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

The solution section provides a method to calculate the total value of the notes in the figures.

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

The question asks to count the notes only in Figure 1.

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

254 000 is read as 'Two hundred fifty-four thousand'.

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

100 006 is read as 'One hundred thousand and six'.

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

311 008 is read as 'Three hundred eleven thousand and eight'.

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

The number 1 000 000 is read as 'Ten million'.

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

Adding forty thousand to 300,000 results in 340,000.

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

Adding 40,000 to the previous number means we are counting down.

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

Figure 4 showcases packages of ten thousand shilling notes.

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

Each package in Figure 4 contains one million shillings.

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

Figure 4 displays five packages of shilling notes.

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

One million shillings equals one hundred groups of ten thousand shillings.

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

The example discusses counting down to 1,000,000 shillings.

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

There are twenty packages of 100,000 shillings in one million shillings.

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

The total value of a digit shows how much that digit is worth.

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

In the number 479,651, the total value of the digit 7 is 7,000.

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

The total value of 6 in 89,670 is 600.

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

Expanded form expresses a number as the product of the total values of its digits.

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

In the expanded form, the total value of each digit in the number is clearly identified.

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

Place values, from right to left, are Ones, Tens, Hundreds, Thousands, Ten Thousands, and Hundred Thousands.

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

In the number 479,651 the digit 4 has a face value of 400,000.

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

The total value of the of the digit 5 in the number 479,651 is 500.

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

The total value of the digit 9 in the number 479,651 is 9000.

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

The expanded form of 89,670 is 80,000 + 9,000 + 600 + 70 + 0.

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

There are 9 containers with a label of 10,000.

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

The containers labeled 10,000 tablets contain a total of 900,000 tablets.

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

The containers labeled with 1,000 tablets contain a total of 100,000 tablets.

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

The combined total of all tablets in the containers is one million.

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

One million is written as 1,000,000.

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

Adding one hundred to 699,200 results in 699,300.

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

Adding one hundred to 300,000 results in 400,000.

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

The place value of the digit 1 in the number 1,000,000 is millions.

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

142,000 comes before 141,000 when counting backwards.

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

What is the term for the numbers that are being added together?

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

What is the result called after adding two or more numbers?

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

In the addition problem 61,345 + 32,134, which number is an addend?

<p>61,345 (B)</p> Signup and view all the answers

What operation is defined as bringing two or more numbers together?

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

Which of the following is another word for the 'sum' in an addition problem?

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

What is the main purpose of addition?

<p>To combine quantities (D)</p> Signup and view all the answers

What skill does the chapter aim to improve?

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

When adding numbers vertically, what is the first step?

<p>Add the numbers in the ones place. (B)</p> Signup and view all the answers

What does it mean to 'regroup' in addition?

<p>To exchange values between place values when a sum is greater than 9. (A)</p> Signup and view all the answers

In the example, after adding the ones, what value is carried over to the tens place?

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

After adding the tens (1 + 8 + 9 = 18), what value is written in the tens position of the answer?

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

What is the final answer of the addition problem described?

<p>603,085 (A)</p> Signup and view all the answers

What is the result of adding 8 to 0 in the thousands position, as shown in the example?

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

According to the example, what is the result of adding 888,888 and 110,011?

<p>998,899 (D)</p> Signup and view all the answers

What is the result of adding 34,487 and 42,002?

<p>76,489 (B)</p> Signup and view all the answers

What is the result of 445,702 + 231,264?

<p>676,966 (C)</p> Signup and view all the answers

What is the result of 45,536 + 210,431?

<p>255,967 (D)</p> Signup and view all the answers

What is the sum of 235,641 and 621,357?

<p>856,998 (D)</p> Signup and view all the answers

What is the result of 647,775 + 200,003?

<p>847,778 (B)</p> Signup and view all the answers

What is the result of 803,414 + 121,405?

<p>924,819 (D)</p> Signup and view all the answers

In the example addition problem, which place value column is added first?

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

What place value is to the immediate right of the 'Thousands' place?

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

What is the sum of 715,109 + 263,780?

<p>978,889 (B)</p> Signup and view all the answers

If you are adding two numbers vertically, what do you need to ensure before adding?

<p>The place values of the digits match. (A)</p> Signup and view all the answers

What is the result of adding 610,243 and 379,542?

<p>989,785 (B)</p> Signup and view all the answers

What is the sum of 453,472 and 316,513?

<p>769,985 (A)</p> Signup and view all the answers

In Example 1, what digit is in the 'Ten Thousands' place of the number 235,641?

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

In the number 621,357, what digit is in the 'Hundreds' place?

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

Which of the following represents the correct way to arrange numbers for vertical addition?

<p>Aligning the digits by place value. (D)</p> Signup and view all the answers

What is the next step after aligning numbers by their place values for addition?

<p>Add the digits in each column, starting from the ones place. (A)</p> Signup and view all the answers

What does the 'N' likely represent in the given mathematical expressions?

<p>The unknown sum (D)</p> Signup and view all the answers

What is the sum of the digits in the ones place in the given addition problem?

<p>5 (C)</p> Signup and view all the answers

In the example, what is the sum of the digits in the tens place?

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

What is the sum of the numbers in the hundreds place?

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

What is the sum of the digits in the thousands place in the given addition?

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

In the example, what is the sum of the digits in the ten thousands place?

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

What is the total value of the digits in the hundred thousands place in the addition problem?

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

According to the worked example, what number is in the ones place of the answer?

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

A number is formed by combining the thousands and the hundreds digits of the result. What is this number?

<p>99 (B)</p> Signup and view all the answers

After performing the addition, which place value has a digit of 6?

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

Which of the listed place value positions contains the digit '9' in the final answer?

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

What is the first step when adding numbers, according to the provided information?

<p>Adding the ones digits (D)</p> Signup and view all the answers

What should you consider when adding numbers?

<p>The place value of the digits (D)</p> Signup and view all the answers

After adding the ones, which place value do you add next?

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

Elineema has 56,784 oranges and Flora has 33,912 oranges. How many oranges do they have altogether?

<p>90,696 (B)</p> Signup and view all the answers

Mvomero District has 34,006 primary school pupils and 28,543 secondary school pupils. What is the total number of pupils in the district?

<p>62,549 (A)</p> Signup and view all the answers

Ujamaa village has 78,000 goats and Muungano village has 16,492 goats. What is the total number of goats in the two villages?

<p>93,492 (B)</p> Signup and view all the answers

In a training seminar, the first group had 44,200 teachers and the second group had 55,407 teachers. How many teachers attended the seminar in total?

<p>99,607 (B)</p> Signup and view all the answers

What is the result of adding 235,641 and 621,357?

<p>856,998 (D)</p> Signup and view all the answers

What is the first step in adding numbers vertically?

<p>Arrange the numbers vertically to match their place values. (A)</p> Signup and view all the answers

What is the correct way to arrange numbers for vertical addition?

<p>According to their place values. (B)</p> Signup and view all the answers

What operation is primarily demonstrated in the presented examples?

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

What is the result of 453,472 + 316,513?

<p>769,985 (A)</p> Signup and view all the answers

Which of the following is an example of numbers arranged vertically?

<p>3</p> <ul> <li>2 (B)</li> </ul> Signup and view all the answers

What should you consider when arranging numbers vertically for addition?

<p>Their place values. (B)</p> Signup and view all the answers

In the examples, what is being solved for?

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

Adding the ones digits in 453,472 + 316,513, what will your 'ones' column add up to?

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

What is the result of adding 445,702 and 231,264?

<p>676,966 (C)</p> Signup and view all the answers

What is the sum of 45,536 and 210,431?

<p>255,957 (A)</p> Signup and view all the answers

Adding 647,775 and 200,003 equals:

<p>847,778 (A)</p> Signup and view all the answers

What is 610,243 plus 379,542?

<p>989,785 (A)</p> Signup and view all the answers

What is the result of adding 665,544 and 332,255?

<p>997,799 (C)</p> Signup and view all the answers

What is the sum of 785,432 + 213,467?

<p>998,899 (D)</p> Signup and view all the answers

What is the result of adding 835,201 and 163,348?

<p>998,549 (C)</p> Signup and view all the answers

What is the result of adding 100,000 to 99,999?

<p>199,999 (B)</p> Signup and view all the answers

What is the sum of 200,000 and 550,533

<p>750,533 (C)</p> Signup and view all the answers

What is the sum of 41,755 and 328,142?

<p>369,897 (B)</p> Signup and view all the answers

What is the sum of 75,000 and 62,540?

<p>137,540 (B)</p> Signup and view all the answers

What is the sum of 232,738 and 756,041?

<p>988,779 (D)</p> Signup and view all the answers

What is the result of adding 135,452 and 210,111?

<p>345,563 (D)</p> Signup and view all the answers

What is the sum of 934,533 and 45,302?

<p>979,835 (D)</p> Signup and view all the answers

What is the value of 710,247 + 9,340?

<p>719,587 (D)</p> Signup and view all the answers

Calculate 857,432 + 131,456.

<p>988,888 (B)</p> Signup and view all the answers

What is the sum of 731,546 and 166,422?

<p>897,968 (C)</p> Signup and view all the answers

Elineema has 56,784 oranges and Flora has 33,912 oranges. Assuming they combine their oranges, what is the total number of oranges they have?

<p>90,696 (A)</p> Signup and view all the answers

Ujamaa village has 78,000 goats and Muungano village has 16,492 goats. What is the combined number of goats in both villages?

<p>94,492 (C)</p> Signup and view all the answers

Two groups of teachers attended a training seminar. The first group had 44,200 teachers and the second group had 55,407 teachers. Assuming no teacher was in both groups, how many teachers attended the seminar in total?

<p>99,607 (D)</p> Signup and view all the answers

What is the correct first step when adding two numbers horizontally without regrouping?

<p>Add the ones digits first. (C)</p> Signup and view all the answers

Given the expression 222,222 + 777,777, what is the digit in the thousands place of the sum?

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

Consider the addition problem: 444,444 + 555,555 = ?. Without performing the entire calculation, what can you say about the digit in each place value of the sum?

<p>Each digit in the resulting number will be a 9. (A)</p> Signup and view all the answers

What is the result of adding 1,000 to 679,448?

<p>680,448 (D)</p> Signup and view all the answers

If you add 134,689 to 856,956, will the digit in the ten thousands place of the result be the same as the digit in the ten thousands place of the numbers being added?

<p>No, because carrying over from lower place values will change the ten thousands place. (A)</p> Signup and view all the answers

What is the estimated sum of 489,765 and 94,538 if both numbers are rounded to the nearest thousand before adding?

<p>584,000 (A)</p> Signup and view all the answers

Consider the sum of 889,900 and 73,281. In which place value column will carrying over occur?

<p>Tens, Hundreds, and Thousands (C)</p> Signup and view all the answers

If three numbers are added together: 454,899, 378,716, and 120,102, what is the digit in the thousands place of their collective sum?

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

When adding numbers vertically, what is the most important first step?

<p>Arranging the numbers such that their place values align. (D)</p> Signup and view all the answers

If you are adding 567,891 and 431,107 vertically, what would be the sum of the digits in the 'Ten Thousands' place?

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

What is the sum of the digits in the hundreds place of the numbers 453,472 and 316,513?

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

What is the value of N in the equation 567,891 + 431,107 = N?

<p>998,998 (C)</p> Signup and view all the answers

What is the value of N in the equation 453,472 + 316,513 = N?

<p>769,985 (B)</p> Signup and view all the answers

Consider the following addition problem: 123,456 + 456,789. What is the sum of the digits in the thousands place in the numbers being added together?

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

In vertical addition, if the sum of digits in the 'Tens' column is 15 what number do you put in the 'Tens' place of the answer?

<p>5 (C)</p> Signup and view all the answers

If you add 1 to each of the digits in both numbers 235,641 and 621,357 before adding them together, what is the new sum?

<p>1,068,886 (D)</p> Signup and view all the answers

What is the result of adding 293,586 and 26,323?

<p>319,809 (C)</p> Signup and view all the answers

What is the sum of 721,318 and 183,518?

<p>804,836 (B)</p> Signup and view all the answers

Calculate the sum of 526,517 and 34,048.

<p>560,565 (A)</p> Signup and view all the answers

What is the result of 784,049 + 108,187?

<p>892,236 (C)</p> Signup and view all the answers

Determine the sum of 881,054 and 9,999.

<p>891,053 (B)</p> Signup and view all the answers

What is the sum of 786,951 and 118,275?

<p>905,226 (C)</p> Signup and view all the answers

Calculate the total when 216,783 is added to 678,357.

<p>895,140 (C)</p> Signup and view all the answers

What is the sum of 484,888 and 200,286?

<p>685,174 (C)</p> Signup and view all the answers

Determine the sum of 69,000 and 209,179.

<p>278,179 (D)</p> Signup and view all the answers

If you add 567,183 and 384,921, what is the result?

<p>952,104 (B)</p> Signup and view all the answers

What is the result of adding 200,000 and 550,533?

<p>750,533 (C)</p> Signup and view all the answers

Calculate the sum of 340,405 and 314,582.

<p>654,987 (A)</p> Signup and view all the answers

What is the sum of 710,247 and 9,340?

<p>719,587 (A)</p> Signup and view all the answers

What is the combined value of 135,452 and 210,111?

<p>345,563 (B)</p> Signup and view all the answers

Determine the result of adding 41,755 and 328,142.

<p>369,897 (A)</p> Signup and view all the answers

Calculate the total of 720,340 and 108,637.

<p>828,977 (C)</p> Signup and view all the answers

What results from adding 99,999 and 100,000?

<p>199,999 (B)</p> Signup and view all the answers

What does 232,738 plus 756,041 equal?

<p>988,779 (A)</p> Signup and view all the answers

Calculate the total of adding 857,432 and 131,456.

<p>988,888 (B)</p> Signup and view all the answers

Calculate the sum of 881,054 and 9,999.

<p>891,053 (B)</p> Signup and view all the answers

What is the sum of 526,507 and 386,549?

<p>913,056 (A)</p> Signup and view all the answers

Determine the result of adding 465,327 and 388,169.

<p>853,496 (A)</p> Signup and view all the answers

What is the result of adding 877,778 and 66,665?

<p>944,443 (C)</p> Signup and view all the answers

What is the result of adding 23,456 to 12,321?

<p>35,777 (D)</p> Signup and view all the answers

If you add 11,111 to 88,889, what is the sum?

<p>100,000 (D)</p> Signup and view all the answers

What is wrong with the following calculation: 345 + 12 = 357 (ignoring alignment)?

<p>All place values were correctly calculated (A)</p> Signup and view all the answers

If you have 24,680 and you add 1,111, what is the resulting number?

<p>25,791 (D)</p> Signup and view all the answers

If three addends are 234, 1,506, and 23,456, what is their sum?

<p>25,196 (C)</p> Signup and view all the answers

What is the sum of 10,000, 20,000, and 30,000?

<p>60,000 (D)</p> Signup and view all the answers

Which of the following additions requires carrying over from the hundreds place to the thousands place?

<p>1,500 + 500 (B)</p> Signup and view all the answers

A school has 32,540 exercise books, and receives a donation of 12,345 additional books. If 5,230 books are then distributed, how many books remain?

<p>39,655 (A)</p> Signup and view all the answers

A farmer harvests 123,456 kg of maize in one season and 98,765 kg in the next. What is the total weight of maize harvested in these two seasons?

<p>222,221 kg (C)</p> Signup and view all the answers

You have 12,345 and you add 6,789. What is the sum?

<p>19,134 (C)</p> Signup and view all the answers

What number do you get if you start with 10,000 and sequentially add 1,000 five times?

<p>15,000 (B)</p> Signup and view all the answers

A construction company buys 45,678 bricks for one project and 54,321 bricks for another. However, 2,134 bricks are damaged. How many usable bricks did the company acquire?

<p>97,865 (B)</p> Signup and view all the answers

If you add 22,222 and 33,333, what digit will be in the hundreds place of the result?

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

A store sold 23,456 items in January, 34,567 items in February, and 45,678 items in March. What was the total number of items sold in these three months?

<p>103,701 (D)</p> Signup and view all the answers

What is the result of adding 123,456 and 789?

<p>124,245 (B)</p> Signup and view all the answers

Company A has 123,456 employees, Company B has 234,567 employees, and Company C has 345,678 employees. If Company C lays off 10,000 employees, how many employees are there in total across all companies?

<p>693,701 (B)</p> Signup and view all the answers

A library has 45,678 fiction books and 54,322 non-fiction books. If they acquire 1,000 new books of each type, what will be the total number of books in the library?

<p>102,000 (A)</p> Signup and view all the answers

What is the sum of 123,456 and 654,321?

<p>777,777 (A)</p> Signup and view all the answers

If you add 345,678 and 543,210, what is the digit in the ten thousands place of the sum?

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

What number must be added to 432,100 to get 753,200?

<p>321,100 (A)</p> Signup and view all the answers

If you have the addition problem 2A5,3B1 + 41C,208 = 677,599, what are the values of A, B, and C?

<p>A = 6, B = 8, C = 2 (A)</p> Signup and view all the answers

Consider the numbers 5_6,789 and 123,4_5. What is the sum of the missing digits if the sum of the two numbers is 680,204?

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

Which of the following expressions will result in the same sum as 234,567 + 101,101?

<p>234,568 + 101,100 (A)</p> Signup and view all the answers

If you add two numbers and their sum is 987,654, which of the following statements must be true?

<p>At least one of the numbers is greater than or equal to 493,827. (C)</p> Signup and view all the answers

You have 256,789 and need to increase it to 500,000 by adding another number. What digit will be in the thousands place of the number you need to add?

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

A calculator displays the number 123,456. You add 111,111 to it, but accidentally press the '1' key one extra time in the hundreds place, so you actually add 111,211. What is the difference between the number shown on the calculator and the correct answer?

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

Calculate the sum of 135,452 and 210,111.

<p>345,563 (C)</p> Signup and view all the answers

Determine the result of 41,755 + 328,142.

<p>369,897 (A)</p> Signup and view all the answers

Find the sum of 232,738 and 756,041.

<p>988,789 (D)</p> Signup and view all the answers

Calculate: 731,546 + 166,422

<p>897,968 (D)</p> Signup and view all the answers

Determine the sum of 857,432 + 131,456.

<p>988,888 (C)</p> Signup and view all the answers

What is the result of adding 75,000 and 504,643?

<p>579,643 (B)</p> Signup and view all the answers

What number is obtained by adding 9,340 to 710,247?

<p>719,587 (B)</p> Signup and view all the answers

Calculate the the sum of 569,732 and 430,021.

<p>999,753 (C)</p> Signup and view all the answers

When adding numbers arranged vertically, it is crucial to align them according to their place values.

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

In the example provided, 235,641 + 621,357 equals 856,998.

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

When adding the numbers 453,472 and 316,513, the hundreds column sums to 10.

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

Vertically arranged numbers can always be added without needing to regroup.

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

The ones place is the rightmost column when arranging numbers vertically for addition.

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

In the number 621,357, the digit 2 represents twenty thousand.

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

The sum total of 567,891 and 431,107 is 998,999.

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

When adding $238,275$ and $500,623$, the sum is $738,898$.

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

The sum of $731,546$ and $166,422$ is $797,968$.

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

Adding $99,999$ and $100,000$ results in $199,999$.

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

The result of $342,643 + 455,136$ is equal to $797,779$.

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

The sum of $232,738$ and $756,041$ equals $988,789$.

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

Adding $857,432$ and $131,456$ is equivalent to $988,888$.

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

When adding numbers, you always start with the ones place.

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

$41,755 + 328,142 = 369,897$.

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

In the example, after adding the ones, you regroup 13 as 3 tens and 1 one.

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

The addition of $800,000$ and $167,489$ equals $968,489$.

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

Regrouping is only necessary when the sum of digits in a place value column is greater than 10.

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

Adding $224,466$ and $200,000 + 550,533$ gives you $974,999$.

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

In the provided example, the sum in the hundreds place is 12, so you write down the 2 and carry-over the 1 to the thousands place.

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

When adding 456,736 and 13,497, the digit in the hundred thousands place of the result is 4.

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

When adding numbers, you should arrange them vertically to match their place values.

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

When adding $6 + 9$ in the ones place, the result is 15, which is regrouped as 1 ten and 5 ones.

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

When regrouping, you always add the regrouped amount to the next smallest place value.

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

If the sum of the hundreds column is 10, you write '10' in the hundreds position.

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

When adding numbers horizontally, you always start with the ones place.

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

Regrouping is only necessary when adding large numbers with multiple digits.

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

When regrouping, 10 ones are regrouped as 2 tens.

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

In the example, 4 + 6 in the ones place equals 12.

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

In the number 603,085, the digit 3 represents 3,000.

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

When adding tens, if the sum is 17, you regroup it as 1 hundred and 7 tens.

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

Once you finish adding all the columns, the final answer should always be written from left to right, starting with the ones place.

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

In the example, the sum of the hundreds digits, including the regrouped one, is 10.

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

If adding numbers in the ten thousands place results in 10, it is regrouped as 1 hundred thousands.

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

When adding $1 + 8 + 9$ in the tens position, the result is 20.

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

The final answer to the addition problem 846 484 + 152 486 is 998 970.

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

Addition of numbers arranged horizontally requires regrouping.

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

The final result of the given addition problem is 603,085.

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

Adding ones is always the second step in adding numbers by regrouping.

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

When adding numbers, the digits in the thousands position are added before the digits in the hundreds position.

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

If the sum of the digits in the tens column is less than 10, then no regrouping is required.

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

When adding two six-digit numbers, if the sum of the digits in the ten thousands place is 15, you always write down 5 and carry-over 1 to the hundred thousands place.

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

The sum of 445702 and 231264 is 676976.

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

Adding 200,003 to 647,775 results in 847,778.

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

When adding 803414 and 121405, the digit in the thousands place of the sum is 8.

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

The sum of 610243 and 379542 is 989785.

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

If you add 45,426 to 912,340, the ten thousands digit in the answer will be a 6.

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

The result of 344,342 + 454,656 is 798,998

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

In the provided addition example, the digit represented by 'E' in the thousands place of the first addend is 8.

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

Based on the addition example, 'U' represents the digit 9 in the sum.

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

If you add 100,000 to 99,999, the resulting sum will be 199,999.

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

Adding 166,422 to 731,546 yields a sum where the ten thousands digit is 9.

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

The sum of 41,755 and 328,142 is less than 360,000.

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

Adding 167,489 to 800,000 gives a result where the hundred thousands digit is 9.

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

If 200,000 and 550,533 are added to 224,466, the final sum won't exceed 975,000

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

When adding 192,574 and 3,648, the sum is calculated by aligning the numbers by place value and adding each column from right to left.

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

If you are asked to write a number with '4' in the hundred thousands position, '7' in the ten thousands position, '0' in the thousands position, '2' in the hundreds position, '3' in the tens position and '3' in the ones position, the resulting number would correctly be 470,233.

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

Adding 504,643 to 75,000, you get a number greater than 575,000.

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

When adding 679,448 and 298,765 and 1,000, regrouping (carrying over) is never needed in any of the place value columns.

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

Adding 108,637 to 720,340 will give a sum where the thousands digit is 8.

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

Adding 78,866 to 779,988 results in a number greater than 858,854.

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

If 135,452 and 210,111 are added to 244,336, the sum is greater than 600,000.

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

When adding the numbers 453,472 and 316,513, the sum in the hundreds place will be 8.

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

The sum of 88,456 and 134,689 is equivalent to the sum of 134,689 and 88,456; this demonstrates the associative property of addition.

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

In the provided addition problem, the digit in the ten thousands place of the result is obtained by adding 5 and 1.

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

When adding 453,472 and 316,513, the digit in the ones place of the sum will be 6 if you carry over 1 from the tens.

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

If the numbers being added are 452,472 and 316,513, the steps for addition would change, affecting the final sum.

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

In the problem, the sum of the digits in the thousands place will be 10, if the numbers being added are changed to 353,472 and 317,513.

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

The final answer for the original addition problem, 453,472 + 316,513, is 770,005.

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

If the calculation was 453,472 + 316,513 + 100,000, the hundred thousands place in the total would be 8.

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

An alternative method to verify the sum of 453,472 and 316,513 is to subtract 316,513 from 769,985, which should give us 453,472.

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

Because the number 453,472 has a 4 in the hundred thousands place, that figure contributes $4 \times 10^6$ to the overall value.

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

In the given addition problem, the sum of the digits in the tens place (including any regrouping) is equal to 12.

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

When adding the hundreds column, the value to be regrouped and added to the thousands column is 2.

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

The digit in the hundreds place of the final sum is derived solely from adding the digits 7 and 4 in the corresponding places of the addends.

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

After performing the addition, if the digits of the result 70,233 are reversed, the new number will be greater than 330,000.

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

In the addition problem, no regrouping is required when adding the hundred thousands column, as $4 + 0 = 4$.

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

If we subtract 13,497 from 456,736, the result will be a number greater than 443,300.

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

The sum 456,736 + 13,497 is evenly divisible by 5.

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

The addition of the two numbers results in a six-digit number where all the digits are unique.

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

If the two addends 456,736 and 13,497 were swapped and added, the final sum would be different.

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

The sum of the digits of the final answer (470,233) is a prime number.

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

What is the relationship between addends and the sum in an addition problem?

<p>Addends are the numbers being added, while the sum is the result obtained after addition. (C)</p> Signup and view all the answers

If you have three numbers to add: 125, 250, and 375, how does changing the order of the addends affect the sum?

<p>The sum will stay the same regardless of the order of the addends. (A)</p> Signup and view all the answers

Handeni district has 561,217 tree seedlings, and Manyoni district has 393,888 tree seedlings. If you combined the seedlings from both districts, how many would there be in total?

<p>955,105 (C)</p> Signup and view all the answers

A farmer harvests 234,567 kgs of maize in the first season and 345,678 kgs in the second season. What is the estimated total harvest rounded to the nearest ten thousand?

<p>580,000 kgs (D)</p> Signup and view all the answers

Njombe Region harvested 713,128 pieces of timber and Iringa Region harvested 280,193 pieces of timber. If you were to combine the harvests from both regions, what would be the total number of timber pieces?

<p>993,321 (C)</p> Signup and view all the answers

A school has 123,456 exercise books and receives a donation of 87,654 more. After distributing 100,000 books to students, how many books remain?

<p>111,110 books (D)</p> Signup and view all the answers

A store sold 45,678 items in January, 54,321 items in February, and 60,000 items in March. If they aim to sell a total of at least 200,000 items in the first quarter, how many more items must they sell in April?

<p>40,001 items (C)</p> Signup and view all the answers

Kongwa National Ranch has 483,125 cattle and Sagara National Ranch has 375,166 cattle. If you combined the number of cattle from both ranches, what would be the total?

<p>858,291 (D)</p> Signup and view all the answers

Why is learning addition important?

<p>It is important in all aspects of life: at home, at school, at work, and in society. (B)</p> Signup and view all the answers

A farmer harvests 216,997 bags of beans, 230,000 bags of maize, and 340,775 bags of sunflower seeds. Rounded to the nearest thousand, what is the estimated total number of bags harvested?

<p>788,000 (B)</p> Signup and view all the answers

A library has 678,213 books. If the library acquires 100,000 new books and then donates 20,000 books to another library, what is the final number of books in the library?

<p>858,213 (B)</p> Signup and view all the answers

Consider three numbers: 25,489, 36,721 and 12,345. If each of these numbers is increased by 10,000, what is the sum of the new numbers?

<p>124,555 (C)</p> Signup and view all the answers

Elineema has 56,784 oranges and Flora has 33,912 oranges. If they combine their oranges, but 100 are rotten and discarded, how many oranges do they have left?

<p>89,596 (D)</p> Signup and view all the answers

Mvomero District has 34,006 primary school pupils and 28,543 secondary school pupils. If 1,000 pupils move out of the district, what will be the total number of pupils remaining?

<p>61,549 (C)</p> Signup and view all the answers

Ujamaa village has 78,000 goats and Muungano village has 16,492 goats. If 500 goats are then moved from Ujamaa to Muungano, how many goats does Muungano have?

<p>16,992 (C)</p> Signup and view all the answers

Two groups of teachers attended a training seminar. The first group had 44,200 teachers, and the second group had 55,407 teachers. If 100 teachers had to leave early, how many teachers remained until the end of the seminar?

<p>99,507 (C)</p> Signup and view all the answers

You are adding two numbers horizontally. After adding the ones place, you get 7. In the tens place, you get 8. In the hundreds place, you get 9. In the thousands place you get 0. In the ten thousands places you get 1 and in the hundred thousands places you get 2. What is the resulting number?

<p>210,987 (A)</p> Signup and view all the answers

Consider the addition problem 456,789 + 123,210. After correctly adding the digits in each place value, what is the digit in the thousands place of the sum?

<p>0 (B)</p> Signup and view all the answers

Two farmers are counting their harvest. Farmer A has 234,567 apples, and Farmer B has 123,432 apples. If they decide to combine their harvest and then sell 10,000 apples at the market, how many apples will they have left?

<p>347,999 (D)</p> Signup and view all the answers

A school has 123,456 books in its library. They receive a donation of another 65,432 books. If they then distribute 1,000 books to each of 10 different schools, how many books are left in the library?

<p>178,888 (D)</p> Signup and view all the answers

Calculate 234,567 + 10,002. Which digit is in the 'hundreds' place of the resulting number?

<p>5 (C)</p> Signup and view all the answers

Which of the following additions results in a sum greater than one million?

<p>857,432 + 131,456 (C)</p> Signup and view all the answers

In the addition example, after regrouping the ones, what value is carried over to the tens position?

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

If you add 62,540 to 504,643, what is the value in the 'tens' place of the sum?

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

What is the result of adding the digits in the hundreds column, including any regrouped values?

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

In the given addition problem, after adding the thousands place along with any regrouped value, why is '0' written in the thousands place of the answer?

<p>Because the sum of the digits in the thousands column is exactly 10, requiring a regroup. (C)</p> Signup and view all the answers

What is the result when you add 108,637 to 720,340?

<p>828,977 (D)</p> Signup and view all the answers

What is the total if you combine 244,336, 135,452 and 210,111?

<p>589,899 (C)</p> Signup and view all the answers

While adding 456,736 and 13,497, which place value requires regrouping?

<p>The ones, tens, and hundreds places. (D)</p> Signup and view all the answers

What is the sum of the digits in the ten thousands column, including any carried over values?

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

What is the missing number if 99,999 is added to it to get to 199,999?

<p>100,000 (A)</p> Signup and view all the answers

After performing the addition, what is the digit in the hundred thousands place of the final answer?

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

What is the value in the hundreds place after adding 131,456 to 857,432?

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

After adding 328,142 to 41,755, what digit is in the 'ten thousands' place of the result?

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

How does regrouping affect the place values when adding multi-digit numbers?

<p>It decreases the value in the current place and increases the value in the next larger place value to the left. (D)</p> Signup and view all the answers

Which statement correctly describes the initial step in adding 456,736 and 13,497?

<p>Add the digits in the ones place, which requires regrouping. (D)</p> Signup and view all the answers

What is the total number of times regrouping is required when adding 456,736 and 13,497?

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

Why is it important to add any regrouped values before adding the digits in the next place value column?

<p>To ensure that all values are accounted for in the correct place value. (B)</p> Signup and view all the answers

If you add 162,845 and 134,027, what is the resulting sum?

<p>296,872 (C)</p> Signup and view all the answers

Calculate: 2,964 + 298,576

<p>301,540 (C)</p> Signup and view all the answers

881,054 + 9,999 equals:

<p>890,053 (A)</p> Signup and view all the answers

What is the result of adding 238,275 and 500,623, and then rounding the sum to the nearest ten thousand?

<p>740,000 (A)</p> Signup and view all the answers

What is the result of adding 216,783 and 678,357?

<p>895,140 (D)</p> Signup and view all the answers

69,000 + 209,179 = ?

<p>278,179 (B)</p> Signup and view all the answers

Consider the additions: 731,546 + 166,422 and 342,643 + 455,136. What is the difference between the sums of these two additions?

<p>67,785 (A)</p> Signup and view all the answers

Determine the sum of 943,573 and 56,327.

<p>999,800 (C)</p> Signup and view all the answers

What is the sum of the results of questions 11 and 12?

<p>1,561,878 (B)</p> Signup and view all the answers

Calculate 526,507 + 386,549.

<p>913,156 (B)</p> Signup and view all the answers

If you add the answers to questions 2, 5 and 17, how many hundred thousands will the result contain?

<p>Ten hundred thousands (A)</p> Signup and view all the answers

What is the sum of 465,327 and 388,169?

<p>853,496 (C)</p> Signup and view all the answers

What number do you get if you add the results of question 1 and question 18 and then subtract the number obtained for question 14?

<p>1,347,138 (D)</p> Signup and view all the answers

Sum the answers for all the numbers with 6 digits. Which place value contains the digit '1'?

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

Calculate: 881,178 + 11,356

<p>892,534 (D)</p> Signup and view all the answers

If all eighteen questions were addition problems, and the total sum of all eighteen answers was 12,345,678, what would be the average sum of the addition problems, rounded to the nearest whole number?

<p>685,871 (A)</p> Signup and view all the answers

Hango has 830,900 shillings and receives a loan of 160,550 shillings. If he then spends 50,000 shillings, how much money does Hango have remaining?

<p>941,450 shillings (B)</p> Signup and view all the answers

A district has 450,000 tree seedlings. After a year, 125,000 seedlings are planted and an additional 50,000 seedlings are cultivated. How many tree seedlings does the district have in total?

<p>625,000 tree seedlings (B)</p> Signup and view all the answers

A library has 550,000 books. If they receive a donation of 150,000 books and then loan out 75,000 books. What is the total number of books remaining in the library?

<p>625,000 books (C)</p> Signup and view all the answers

In three years, a school enrolls 100,000, 120,000, and 130,000 students, respectively. If 5,000 students graduated in the second year, what is the total number of students enrolled across the three years?

<p>350,000 students (A)</p> Signup and view all the answers

A farmer harvests 320,000 bags of maize, 240,000 bags of beans, and 140,000 bags of wheat. If 20,000 bags of maize are lost due to spoilage, what is the total number of bags of crops harvested?

<p>700,000 bags (D)</p> Signup and view all the answers

When adding two numbers horizontally by regrouping, what does it mean to 'regroup ten ones as 1 tens'?

<p>To exchange ten ones for one ten and place the '1' in the tens column during addition. (B)</p> Signup and view all the answers

In the horizontal addition method, after adding the tens and obtaining a sum greater than 9, what should you do?

<p>Write the ones digit of the sum in the tens position and regroup the tens digit to the hundreds position. (A)</p> Signup and view all the answers

If, during addition, the sum of the numbers in the hundreds place is 15, how is this value recorded in the answer using the regrouping method?

<p>Record '5' in the hundreds place and carry over '1' to the thousands place. (B)</p> Signup and view all the answers

When performing addition by regrouping, what does it mean to 'carry over' a digit?

<p>To add the digit to the next higher place value column. (A)</p> Signup and view all the answers

In the regrouping method, after summing the digits in a certain place value column, you get a two-digit number. What do you do with each of these digits?

<p>Write the ones digit in the sum and carry the tens digit to the next place value to the left. (A)</p> Signup and view all the answers

What is the purpose of regrouping when adding numbers?

<p>To simplify the addition process by managing sums greater than 9 in each place value. (A)</p> Signup and view all the answers

What is the most important first step when adding numbers horizontally?

<p>Adding the numbers in the ones place. (D)</p> Signup and view all the answers

Why is it necessary to keep place values aligned when adding numbers horizontally?

<p>To ensure that you are adding digits with the same value. (B)</p> Signup and view all the answers

What happens to the value of a digit when it is 'carried over' to the next column during regrouping?

<p>The value is multiplied by 10. (C)</p> Signup and view all the answers

What is the result when 1,000 is added to 679,448?

<p>679,548 (C)</p> Signup and view all the answers

If you add 134,689 to 856,956, will the digit in the ten thousands place of the sum be greater than 8?

<p>Yes, because the sum in the ten thousands place is greater than nine. (C)</p> Signup and view all the answers

When adding 79,989 to 708,924, what is the result in the thousands place of the sum?

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

In the sum of 489,660 and 427,488, what is the digit in the thousands place?

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

After adding 71,719 to 818,819, what is the digit found in the ten thousands place?

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

When 243,029 is added to 679,884, does the sum exceed 900,000?

<p>Yes, because the sum of the hundred thousands digits alone is greater than 9 (D)</p> Signup and view all the answers

Consider the addition problem: 454,899 + 378,716 + 120,102. Which of the following statements is true?

<p>There is a carryover from the hundreds place to the thousands place. (B)</p> Signup and view all the answers

In adding 138,457 to 24,454, what is the value in the ten thousands place of the resulting sum?

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

When adding 433,126 to 488,574, what is the digit in the hundred thousands place of the sum?

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

If 78,866 is added to 779,988, what will the digit be in the thousands place of the sum?

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

Addition is the process of combining two or more numbers to find their sum.

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

The numbers that are added together are called subends.

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

The result of adding two or more numbers is called the sum or total.

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

In addition, the order in which numbers are added affects the final sum.

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

Addition is only useful in mathematics classes and has no real-world applications.

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

Finding the total number of students in two classes is an example of using addition.

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

Addition can only be performed with whole numbers.

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

To find the total number of items, you should subtract.

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

When adding numbers, always start with the largest place value.

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

Adding numbers horizontally requires regrouping.

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

5 + 4 = 10

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

Adding zero to any number changes the value of that number.

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

The ones place is to the left of the tens place.

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

When adding $123 + 456$, you should first add $1 + 4$.

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

The total number of pupils is obtained by adding primary and secondary pupils.

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

When adding numbers, you should arrange them horizontally.

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

The sum of 2 and 3 is 6.

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

Elineema and Flora have approximately 90,000 oranges in total.

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

When adding tens, 7 + 1 equals 8.

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

In the hundreds place, 4 + 5 equals 10.

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

When adding numbers, you always start adding from the leftmost position.

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

Adding 3 and 6 in the thousands place results in 9.

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

When adding $1000$ to $679448$, the result is $680448$.

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

The sum of $88456$ and $134689$ is $223145$.

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

In the ten thousands place, 5 + 1 equals 7.

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

In the hundred thousands place, 4 + 3 equals 7.

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

The sum of $454899$, $378716$, and $120102$ is $953717$.

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

The final answer to the addition problem is 769,985.

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

Addition starts from the leftmost digit.

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

Place values are not important when adding numbers.

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

Regrouping is only necessary when you are subtracting.

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

In the number 456,736, the digit 5 represents fifty thousand.

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

When regrouping, you always carry over a 1 to the next column.

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

The sum of 456,736 and 13,497 is 470,233.

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

The hundreds digit in the number 13,497 is 9.

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

The term 'regroup' is another word for 'estimate'.

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

When adding 6 + 7, the sum is 23.

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

The result of an addition problem is called the sum.

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

When adding 888 888 and 110 011, the digit in the hundred thousands place of the sum is 8.

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

The sum of 34 487 and 42 002 is 76 489.

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

445 702 + 231 264 equals 676 966.

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

The sum of 715 109 and 263 780 is 978 889.

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

610 243 + 379 542 results in a sum where the ten-thousands digit is 8.

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

The sum of 835 201 and 163 348 is less than 998 000.

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

912 340 + 45 426 = 957 766

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

If a factory bought 137,527 cows one year and 222,062 cows the next, the total number of cows bought in both years would be exactly 359,589.

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

If three lorries transported 225,768, 19,435, and 22,202 mangoes respectively, the total number of mangoes transported by the three lorries would be less than 267,400.

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

If Mgori ward has 216,819 residents, Mhonda ward has 258,776 residents and Balangida ward has 126,000 residents then the combined population of all three wards is greater than 600,000.

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

Calculating the combined number of mangoes transported by three lorries (225,768, 19,435, and 22,202 respectively) involves only understanding place value and does not require carrying over values between columns.

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

When summing the number of cows the meat processing factory bought over two years (137,527 and 222,062), if a mistake resulted in a sum of 359,598, this error would likely be due to an incorrect carry-over in the tens column during addition.

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

In the addition process described, if the sum of the ones column is 15, you should write 1 in the tens position and 5 in the ones position.

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

When adding the tens column, if the total is 18, you regroup it as 1 ten thousands and 8 tens.

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

If the hundreds calculation results in 10, it is regrouped as 1 thousands and 0 hundreds.

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

When adding numbers arranged vertically, it's crucial to misalign their place values to introduce complexity.

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

If the sum of the thousands place is 13, we regroup it as 1 ten thousands and 3 thousands.

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

When adding the ten thousands column and the sum is 10, we regroup it as 1 million and 0 ten thousands.

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

In the provided example, the sum of 235,641 and 621,357 is accurately calculated as 856,998.

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

When adding 453,472 and 316,513, regrouping from tens to hundreds is always required.

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

Based on the regrouping rules, the final answer of the given addition problem is 603,085.

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

Adding numbers vertically always results in a smaller number than either of the original numbers.

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

If adding a column results in 9, no regrouping is required.

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

If the digits in the hundreds place of two numbers add up to 12, you must carry over a 1 to the thousands place.

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

In this specific addition problem, the hundreds place is calculated by adding 2 + 1 + 8.

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

When the sum in the ten thousands column is 10, you write 10 in the ten thousands position.

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

When adding large numbers vertically, it's acceptable to start adding from the leftmost digit.

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

The concept of place value is irrelevant when adding numbers arranged vertically.

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

If the sum of a column is greater than 9, the process is called carrying over to the next place to the left and it simplifies addition.

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

Changing the order of the addends impacts the final answer when adding numbers vertically.

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

In the sum 567,891 + 431,107, the digit in the ten thousands place of the result will be 9.

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

In the given addition problem, the sum of the digits in the tens column, including the regrouped digit, is equal to 15.

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

When adding the hundreds column, regrouping results in adding 2 to the thousands column.

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

In this addition problem, no regrouping is required when adding the digits in the hundred thousands place.

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

The digit in the thousands place of the final sum is 1.

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

When adding 456,736 and 13,497, the digit in the hundreds place of the sum will be 3.

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

The regrouped value from the sum of the ones column contributes 2 to the sum of the tens column.

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

The sum in the ten thousands place is obtained by adding 1, 5, and 2.

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

According to the worked example, the first step in adding the two numbers involves regrouping 14 as 1 ten and 4 ones.

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

The final answer to the addition problem is 471,233.

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

What is the estimated difference between 754,382 and 300 when rounding 289 to the nearest hundred?

<p>754,082 (C)</p> Signup and view all the answers

Which of the following subtraction problems requires regrouping from more than one place value?

<p><code>148,760 - 145,619</code> (A)</p> Signup and view all the answers

A library initially has 56,789 books. After donating some books to a local school, it has 42,356 books left. How many books were donated?

<p>14,433 books (D)</p> Signup and view all the answers

A farmer harvests 95,672 kg of maize. He sells 62,431 kg at the market. How many kilograms of maize does he have left?

<p>33,241 kg (A)</p> Signup and view all the answers

If you subtract 135,237 from 367,129 and then subtract 10,000 from the result, what is the final number?

<p>221,892 (D)</p> Signup and view all the answers

A store had 409,530 items. After selling some, they had 357,142 items left. If they then received a shipment of 20,000 new items, how many items would they have in total?

<p>766,672 (D)</p> Signup and view all the answers

A company's revenue in 2022 was $78,532, and in 2023 it was $92,765. By how much did the revenue increase?

<p>$14,233 (C)</p> Signup and view all the answers

What number is missing from this equation: X - 76,254 = 601,992?

<p>769,979 (B)</p> Signup and view all the answers

A school has a target of collecting 85,000 books for their library. So far, they have collected 63,500 books. How many more books do they need to collect to reach their target?

<p>21,500 books (D)</p> Signup and view all the answers

A store had 45,678 items in stock and sold 23,456 items in a week. How many items are left in the stock?

<p>22,122 (A)</p> Signup and view all the answers

Michael and James start with $50,000 each. Michael makes a sound investment that returns $23,000. James makes a risky investment that returns only $3,000. How much more money does Michael have?

<p>$20,000 (D)</p> Signup and view all the answers

A factory produces 98,765 units of a product. After quality control, 2,345 units are rejected. How many units are approved?

<p>96,420 units (C)</p> Signup and view all the answers

What is the result of subtracting 34,413 from 257,645?

<p>223,232 (B)</p> Signup and view all the answers

In the subtraction problem 478,376 - 255,142, what digit is in the thousands place of the result?

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

When using a counting basin to subtract 255,142 from 478,376, which step involves removing counters?

<p>Crossing out counters to represent 255,142. (A)</p> Signup and view all the answers

What is the result of subtracting 11,000 from 463,257?

<p>452,257 (A)</p> Signup and view all the answers

If you have 478,376 and you subtract 200,000, then subtract 50,000, then subtract 5,000, then subtract 100, then subtract 40, then subtract 2, what number do you get?

<p>223,234 (D)</p> Signup and view all the answers

If you subtract 200,000 from 463,257, what is the resulting number?

<p>263,257 (B)</p> Signup and view all the answers

Suppose you are using the counting basin to subtract. You start with 478,376. After crossing out the counters, you have 2 counters in the hundred thousands place, 2 in the ten thousands place, 3 in the thousands place, 2 in the hundreds place, 3 in the tens place, and 4 in the ones place. What number did you subtract?

<p>255,142 (A)</p> Signup and view all the answers

Consider the subtraction 257,645 - 34,413. What is the value of the digit in the ten thousands place of the result?

<p>20,000 (B)</p> Signup and view all the answers

What is the result if the number 463,257 is decreased by 100?

<p>463,157 (C)</p> Signup and view all the answers

In the counting basin method of subtraction, after placing counters for the initial number and crossing out counters for the number being subtracted, what does counting the uncrossed counters represent?

<p>The difference between the two numbers. (A)</p> Signup and view all the answers

In the subtraction 463,257 - 221,125, what is the difference in the 'thousands' place?

<p>2,000 (C)</p> Signup and view all the answers

What number is 221,125 more than 242,132?

<p>463,257 (B)</p> Signup and view all the answers

In the subtraction 478,376 - 255,142 = 223,234, verify the result by adding 255,142 and 223,234. What should the sum be?

<p>478,376 (D)</p> Signup and view all the answers

By how much is 463,257 greater than 221,125?

<p>242,132 (D)</p> Signup and view all the answers

If, when using a counting basin to solve a subtraction problem, you find that there are no uncrossed counters left in a particular place value, what does this indicate?

<p>The digit in that place value of the result is zero. (A)</p> Signup and view all the answers

If you have 463,257 and remove 2 'hundred thousands', 2 'ten thousands', and 1 'thousand', what number do you have left?

<p>243,257 (A)</p> Signup and view all the answers

What is the sum of the digits in the number 242,132?

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

How much do you need to add to 221,125 to reach 463,257?

<p>242,132 (C)</p> Signup and view all the answers

If you have 463,257 items and give away 221,125, how many items do you have remaining?

<p>242,132 (B)</p> Signup and view all the answers

In the subtraction process shown, why is it necessary to take a group of ten thousands and change it into thousands?

<p>To provide enough thousands to subtract when the top number has fewer thousands than the bottom number. (B)</p> Signup and view all the answers

What is the result of taking one group of ten thousands from the 8 in the ten thousands place in 981,746?

<p>It increases the thousands place by ten. (D)</p> Signup and view all the answers

In the example, after changing one group of ten thousands into thousands, the calculation proceeds with 11 – 4 = 7 in the thousands place. What does the '11' represent in this step?

<p>The regrouped thousands plus the existing thousands. (C)</p> Signup and view all the answers

After regrouping and subtracting in the thousands place, what happens to the digit in the ten thousands place of the original number?

<p>It decreases by one because one group of ten thousands was taken. (C)</p> Signup and view all the answers

What is the final result of the subtraction 981,746 – 274,272?

<p>707,474 (D)</p> Signup and view all the answers

In the subtraction example 634 207 – 253 478, what process is required to subtract the tens place?

<p>Regroup from the hundreds place. (A)</p> Signup and view all the answers

Following the subtraction process illustrated, if you have the expression $A - B = C$ and you know $A$ and $C$, how would you find $B$?

<p>Subtract $C$ from $A$. (D)</p> Signup and view all the answers

If a student makes a mistake by not regrouping when subtracting a larger digit from a smaller digit, what kind of error is this?

<p>Conceptual error in understanding place value. (A)</p> Signup and view all the answers

How is understanding place value crucial for performing subtraction with regrouping, as demonstrated in both examples?

<p>It determines when and how to borrow from higher place values to subtract accurately. (D)</p> Signup and view all the answers

Yohana deposited 98,550 shillings and withdrew 12,400 shillings. Which expression accurately calculates the remaining balance?

<p>$98,550 - 12,400$ (B)</p> Signup and view all the answers

In Songambele village, 75,620 trees were planted, but 3,210 were burnt. To determine the number of trees that were not burnt, which operation should be performed?

<p>Subtraction: $75,620 - 3,210$ (B)</p> Signup and view all the answers

In a subtraction problem requiring regrouping, what does 'borrowing' from the hundreds place to subtract in the tens place actually represent?

<p>It represents taking 1 hundred (100) and converting it into 10 tens to add to the existing tens. (C)</p> Signup and view all the answers

Out of 89,777 pupils, 2,899 failed an examination. What calculation is needed to find the number of pupils who passed?

<p>Subtract 2,899 from 89,777. (C)</p> Signup and view all the answers

Residents of Maendeleo village owned 25,495 cattle and sold 16,726. Which numerical expression accurately represents the number of cattle remaining?

<p>$25,495 - 16,726$ (D)</p> Signup and view all the answers

Why is regrouping necessary in subtraction problems?

<p>When the digit being subtracted is larger than the digit it is being subtracted from. (B)</p> Signup and view all the answers

Miriamu's mother had 57,000 shillings and needed 75,000 shillings for a television. What calculation determines the amount of money she was short?

<p>Subtract 57,000 from 75,000. (A)</p> Signup and view all the answers

Consider the subtraction problem 45,321 - 28,956. In which place value will regrouping (borrowing) first be required?

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

Following the example of subtracting numbers arranged horizontally without regrouping, what is the second step in solving $468,957 - 15,324$?

<p>Subtract the tens: $5 - 2 = 3$. (C)</p> Signup and view all the answers

In the subtraction problem 567 - 289, after regrouping the tens place, what value is used for subtraction in the ones place?

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

If you are subtracting two numbers without regrouping, and the ones digit of the first number is 8 and the ones digit of the second number is 2, what would be the ones digit of the result?

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

What is the result of 782,345 - 191,456?

<p>590,889 (B)</p> Signup and view all the answers

What operation is performed in the following example: 257,645 – 34,413 = 223,232?

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

In the subtraction example 257,645 – 34,413, what is the value in the hundred thousands place of the resulting number?

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

When using the counting basin for subtraction, what action represents the subtraction of a digit?

<p>Crossing out counters (D)</p> Signup and view all the answers

In the counting basin example for 478,376 – 255,142, how many counters would be crossed out in the 'Ten Thousands' place?

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

After crossing out the counters in the counting basin for the subtraction 478,376 – 255,142, what is the number of remaining (uncrossed) counters in the 'Hundreds' place?

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

If, when using the counting basin for the operation 478,376 - 255,142 there was a mistake and only 1 counter was crossed out in the 'Hundred Thousands' place, what would the resulting number be?

<p>323,234 (C)</p> Signup and view all the answers

What does each compartment in the counting basin represent?

<p>A specific place value (Ones, Tens, Hundreds, etc.) (D)</p> Signup and view all the answers

After performing the subtraction 478,376 – 255,142 using the counting basin method correctly, what value is represented by the counters in the 'Thousands' compartment?

<p>3,000 (C)</p> Signup and view all the answers

In the counting basin, if you start with 478,376 and cross out 2 counters from the Hundred Thousands, 5 counters from the Ten Thousands, 5 counters from the Thousands, 1 counter from the Hundreds and 4 counters from the Tens and two counters from the ones what number would be represented by the remaining counters?

<p>223,234 (C)</p> Signup and view all the answers

What is the result of subtracting 134,102 from 457,234?

<p>323,132 (D)</p> Signup and view all the answers

In the subtraction problem 457,234 - 134,102, what is the result of subtracting the digits in the 'thousands' place?

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

After subtracting the 'tens' digits in the problem 457,234 - 134,102, what digit should be written in the tens position of the result?

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

If you subtract 110 from 350, what is the result in terms of hundreds, tens, and ones?

<p>2 hundreds, 4 tens, 0 ones (A)</p> Signup and view all the answers

In the subtraction 457,234 - 134,102, what is the value obtained after subtracting the hundred thousands digits?

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

What is the difference between the values in the ten-thousands place of the numbers 463,257 and 221,125?

<p>40,000 (D)</p> Signup and view all the answers

Which place value results from the subtraction of 2 - 1 in the problem 457,234 - 134,102?

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

What is the sum of the digits in the hundreds place of the numbers 463,257 and 221,125?

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

Suppose you have two numbers and their difference is 323,132. If one of the numbers is 134,102, what is the other number?

<p>457,234 (D)</p> Signup and view all the answers

After performing the subtraction of 221,125 from 463,257, what digit is in the tens place of the resulting number?

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

What is the result of subtracting 11 from 32?

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

If you increased 457,234 by ten thousand and decreased 134,102 by ten thousand, how would the difference between the two numbers change?

<p>Increase by 20,000. (B)</p> Signup and view all the answers

What single digit subtraction is performed in the ten thousands column when calculating 457,234 - 134,102?

<p>$5 - 3$ (B)</p> Signup and view all the answers

In the subtraction problem 463,257 - 221,125, which place value shows a difference of 2?

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

Consider the subtraction 457,234 - 134,102 = 323,132. Now consider 458,234 - 134,102. What is the difference between the results of the two subtraction problems?

<p>1,000 (C)</p> Signup and view all the answers

What operation is demonstrated in the example?

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

If the number being subtracted (221,125) was increased by 10,000, what would be the new result of the subtraction?

<p>232,132 (D)</p> Signup and view all the answers

If you are asked to subtract 134,102 from 457,234, and you mistakenly swap the digits in the hundreds and thousands columns of the first number (making it 457,134), by how much will your incorrect answer differ from the correct answer?

<p>900 (B)</p> Signup and view all the answers

If the value of the 'hundreds' place in the first number (463,257) was doubled before subtracting, what would be the new result?

<p>463,657 (A)</p> Signup and view all the answers

In the number 643 270, the digit 4 is in the ten thousands place.

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

Yohana deposited 98 550 shillings, withdrew 12 400 shillings, and had a remaining balance of 76 150 shillings.

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

153 652 - 41 331 equals 112 321.

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

If 75 620 trees were planted and 3 210 were burnt, then 72 410 trees were not burnt.

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

Subtracting 2,010 from 623,440 results in 621,430.

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

The result of 425 310 - 213 110 is 212 200.

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

If 89 777 pupils sat for an examination and 2 899 failed, then 86 878 pupils passed.

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

If residents owned 25 495 cattle and sold 16 726, then 8 769 cattle remained.

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

788 500 - 501 000 equals 287 500.

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

When subtracting vertically, you should always start with the largest place value.

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

If someone has 57 000 shillings and wants to buy a television set costing 75 000 shillings, they lack 28 000 shillings.

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

When subtracting numbers arranged horizontally, you should always regroup the numbers.

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

889 998 - 664 322 = 225 676.

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

524 804 - 103 501 equals 421 303.

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

In the subtraction 257 645 – 34 413, the difference in the hundreds place is 1.

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

$4 - 2 = 6$

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

When subtracting numbers arranged vertically, regrouping is a valid method.

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

When subtracting, the number being subtracted from is called the minuend.

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

The result of 560,947 - 67,328 is 493,619.

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

The result of 756,456 - 484,417 is 372,039.

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

The result of a subtraction problem is called the product.

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

The result of 537,902 - 449,651 is 88,251.

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

Subtracting zero from any whole number does not change the number.

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

When subtracting, you should always start from the leftmost digit.

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

When subtracting large numbers, you should always start subtracting from the leftmost digit.

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

If you subtract 100 from 500, the result is 300.

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

If you don't have enough to subtract in a column you must 'borrow' from the column to the right.

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

The numbers 5,000 - 1,000 = 4,000 is a true statement.

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

Subtracting a number from itself always results in 1.

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

700 - 200 is equal to 500.

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

The act of subtracting means to increase the number in value.

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

When subtracting, you always start with the largest place value.

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

In the number 981,746, the digit 8 represents eighty thousand.

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

When subtracting 274,272 from 981,746, the digit in the thousands place of the result is 4.

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

Subtracting 25,206 from 864,624 results in 839,418.

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

When subtracting 123,553 from 685,378, the hundreds digit in the answer is 8.

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

938,765 - 737,846 = 200,919

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

The result of 748,760 - 144,690 is 604,070.

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

992,478 - 966,257 equals 26,221.

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

998,897 - 669,999 equals correctly to 328,898.

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

576,788 - 2,899 results in 573,889.

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

Subtraction is the same operation as addition, just performed in reverse order.

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

In subtraction, 'regrouping' involves borrowing from the next smallest place value to perform the operation.

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

The result of subtracting 25,127 from 68,549 is 43,422.

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

When subtracting 1,304 from 92,406, one needs to regroup in the hundreds column.

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

If you have 81,505 items and you subtract 61,426 items, you would be left with 20,079 items.

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

Subtracting 11,448 from 12,467 gives a result of 1,019; this means there was absolutely no regrouping performed at any time during the subtraction.

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

When subtracting 47,629 from 54,678, the digit in the thousands place of the result will be 7.

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

The result of $643270 - 541240$ is $102030$.

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

The difference between $153652$ and $41331$ is $112321$.

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

Subtracting $664322$ from $889998$ yields $225666$.

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

The result of the subtraction $706605 - 602303$ is $104302$.

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

The result of $824335 - 13112$ equals $811233$.

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

The difference between $623440$ and $2010$ is $621430$.

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

If you subtract $641631$ from $753872$, the result is $112241$.

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

The result of subtracting $18113$ from $568237$ is $550124$.

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

If you subtract $12254$ from $995698$ you get $983444$.

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

Subtracting $130000$ from $156789$ results in $27789$.

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

When subtracting whole numbers, you always start subtracting from the leftmost digit.

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

When subtracting multi-digit numbers, the digit in the hundred thousands place is always the first to be calculated.

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

In subtraction, if the digit in the minuend is smaller than the digit in the subtrahend, you always borrow 10 from the next higher place value.

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

Subtracting 102 232 from 826 666 results in 724 434.

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

In the subtraction problem $257,645 - 34,413$, the digit 5 in $257,645$ represents $50,000$.

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

Subtracting 11 231 from 632 541 yields 621 310.

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

The counting basin is a tool used to perform addition, but it cannot be reliably used for subtraction.

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

If you subtract 114 321 from 127 834, the result is 13 513.

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

When using the counting basin for subtraction, 'uncrossed counters' represent the digits of the difference between the two numbers.

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

The result of 773 002 minus 521 001 is 252 001.

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

When subtracting, you should always start with the largest place value (e.g., hundred thousands) and move towards the smallest (e.g., ones).

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

If $A - B = C$, then A is always greater than B and C.

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

The difference between 912 345 and 810 212 is 102 133.

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

In the subtraction example, $478,376 - 255,142$, no borrowing is required.

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

If you subtract 335 243 from 587 645, you get 922 888.

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

Subtracting 20 014 from 527 238 result in 506 224.

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

If the result of a subtraction is $223,234$, and one of the numbers subtracted was $255,142$, the other number must have been less than $223,234$.

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

After subtracting 714 232 from 826 666 you get 112 434.

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

If we change a digit in the hundred thousands place in either number of a subtraction problem, the difference will change by that same amount, regardless of which number the digit was in.

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

When subtracting numbers arranged horizontally, regrouping is sometimes necessary if the digit being subtracted is larger than the digit it is being subtracted from.

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

In the subtraction problem 981746 - 274272, after subtracting the ones and tens, you would subtract the hundreds by calculating 7 - 2 = 5.

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

When subtracting 517599 - 132143 - 351013 - 414328, it's more efficient to subtract each number sequentially from left to right rather than combining the subtrahends first.

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

When subtracting two numbers, if the result in the tens place is negative, you must borrow from the thousands place and add 10 to the tens place before subtracting.

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

If you have the subtraction problem $A - B = C$, then $C + B$ will always equal A.

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

A garment company makes 654 meters of cloth daily. If they aim to produce 21,000 meters in a month, how many additional days of production are needed beyond 30 days to meet the target?

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

What is the product of 374 and 62?

<p>23,188 (B)</p> Signup and view all the answers

A lorry transports 629 sacks of cement per trip. If the lorry needs to transport a total of 45,000 sacks of cement, how many trips should the lorry make?

<p>72 trips (D)</p> Signup and view all the answers

Evaluate the expression: 189 multiplied by 84.

<p>15,876 (A)</p> Signup and view all the answers

Maria sold 66 chickens for 15,000 shillings each. If she wants to buy a motorcycle that costs 1,200,000 shillings, how much more money does she need?

<p>210,000 shillings (D)</p> Signup and view all the answers

What is the result of multiplying 4,156 by 78?

<p>324,168 (D)</p> Signup and view all the answers

Baraka sells 2,560 kilograms of meat daily. If he increases his sales by 150 kilograms per day, how many kilograms of meat will he sell in 2 weeks?

<p>37,970 kilograms (C)</p> Signup and view all the answers

A teacher instructed 258 pupils to collect 122 counters each. If 35 counters from each pupil are damaged, how many counters are still useable?

<p>22,914 counters (D)</p> Signup and view all the answers

What is the product of 2,213 and 23?

<p>50,889 (D)</p> Signup and view all the answers

Determine the value of 2,113 multiplied by 22.

<p>46,486 (B)</p> Signup and view all the answers

What is the result of the multiplication 3,122 x 13?

<p>40,586 (A)</p> Signup and view all the answers

Compute the product of 2,346 and 14.

<p>32,844 (A)</p> Signup and view all the answers

Calculate the result of 4,167 multiplied by 17.

<p>70,839 (D)</p> Signup and view all the answers

If a teacher gives 4 pencils to each of the 53 pupils in a class, what is the best estimate of the total number of pencils given?

<p>212 pencils (B)</p> Signup and view all the answers

1,324 multiplied by 18 equals what?

<p>23,832 (A)</p> Signup and view all the answers

A cow produces 15 litres of milk daily. If the milk is sold at 75 shillings per litre, what would be the estimated revenue in 10 days?

<p>11,250 shillings (D)</p> Signup and view all the answers

Magoma makes 220 cement bricks each day. If he sells each brick for 120 shillings, how much money does he make in 11 days, assuming all bricks are sold?

<p>290,400 shillings (B)</p> Signup and view all the answers

What is the value of the digit '2' in the multiplication problem 2,165 x 3, when considering the place value before multiplying by 3?

<p>2,000 (B)</p> Signup and view all the answers

Johari buys 46 loaves of bread, each costing 800 shillings. If she pays with 40,000 shillings, how much change will she receive?

<p>3,200 shillings (C)</p> Signup and view all the answers

In the example multiplication of 2,165 x 3, what is being multiplied in the second row of the solution (3 x 60)?

<p>Three times the tens place value (B)</p> Signup and view all the answers

Furaha sold 26 bags of oranges for 950 shillings each. He decides to donate 5% of his earnings to charity. How much money does Furaha donate?

<p>1,235 shillings (D)</p> Signup and view all the answers

If instead of multiplying 2,165 by 3, we multiplied 2,165 by 2, which of the following would be the correct product?

<p>4,330 (D)</p> Signup and view all the answers

A chicken coop requires 685 cement bricks. If someone builds 11 chicken coops and each brick costs 90 shillings, what is the total cost of the bricks?

<p>616,500 shillings (B)</p> Signup and view all the answers

A tree plantation has 287 rows of trees, with 66 trees in each row. If 15% of the trees are damaged by a storm, approximately how many trees remain undamaged?

<p>16,000 trees (B)</p> Signup and view all the answers

What is the result of 3 x 100 in the context of breaking down the multiplication of 2,165 x 3?

<p>300 (B)</p> Signup and view all the answers

If the number 2,165 was changed to 2,200 maintaining the multiplicand to be multiplied by 3, how would this affect the final answer?

<p>The final answer would be greater. (C)</p> Signup and view all the answers

The solution to 2,165 x 3 is obtained by summing the products of 3 with each place value of 2,165. If we only summed (3 x 5) + (3 x 60) + (3 x 100), what value would we be missing to find the final answer?

<p>Three times the thousands place value (C)</p> Signup and view all the answers

What operation is used to combine the results of each step (3 x 5, 3 x 60, 3 x 100, 3 x 2000) in the multiplication of 2,165 x 3 to arrive at the final answer?

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

If the multiplication 2,165 x 3 were visually represented with blocks, where each block represents a value, which place value would require the most blocks to represent its partial product?

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

What is the correct way to express the problem 2,165 x 3 using the distributive property?

<p>Both A and B (D)</p> Signup and view all the answers

What is the result performing the following calculation: $42,983 \times 20$?

<p>859,660 (A)</p> Signup and view all the answers

You are asked to calculate $53,490 \times 14$. Which of the following represents a correct intermediate step in solving this multiplication problem?

<p>Multiplying 53,490 by 10 and then multiplying 53,490 by 4 (A)</p> Signup and view all the answers

What is the product of the following expression: $71,762 \times 12$?

<p>861,144 (D)</p> Signup and view all the answers

Calculate $33,768 \times 24$. Which answer is correct?

<p>810,432 (B)</p> Signup and view all the answers

What is the result of $43,210 \times 2$?

<p>86,420 (D)</p> Signup and view all the answers

What is the result if you calculate $63,281 \times 15$?

<p>949,215 (B)</p> Signup and view all the answers

What is the product of the following expression: $53,249 \times 13$?

<p>692,227 (A)</p> Signup and view all the answers

Determine the product of $30,167 \times 20$.

<p>603,340 (B)</p> Signup and view all the answers

What is the result of calculating $20,070 \times 28$?

<p>561,960 (C)</p> Signup and view all the answers

What answer results from the following expression: $10,101 \times 99$?

<p>999,909 (B)</p> Signup and view all the answers

What is the product of $374 \times 62$?

<p>23,188 (D)</p> Signup and view all the answers

A school is ordering math textbooks. If each textbook costs $12 and they need 235 copies, what is the total cost?

<p>$2,820 (D)</p> Signup and view all the answers

Calculate: $189 \times 84 = $ ?

<p>15,876 (A)</p> Signup and view all the answers

What is the product of $4156 \times 78$?

<p>324,168 (A)</p> Signup and view all the answers

A class has 53 pupils, and each pupil receives 4 pencils. If 20 additional pencils are then given out, how many pencils were distributed in total?

<p>232 (B)</p> Signup and view all the answers

A farmer harvests 315 bags of maize from each of his 18 fields. How many bags of maize does he harvest in total?

<p>5,670 bags (D)</p> Signup and view all the answers

A cow produces 15 litres of milk daily. If the milk is sold at 75 shillings per litre, what is the total revenue generated in 100 days?

<p>112,500 shillings (B)</p> Signup and view all the answers

If a theatre has 48 rows with 32 seats in each row, what is the total seating capacity of the theatre?

<p>1,536 seats (A)</p> Signup and view all the answers

Compute: $1332 \times 21 = $ ?

<p>27,972 (B)</p> Signup and view all the answers

A construction company needs to transport 214 loads of bricks to a site. If each load contains 455 bricks, how many bricks are transported in total?

<p>97,370 bricks (A)</p> Signup and view all the answers

Magoma makes 220 cement bricks daily. If he sells each brick for 50 shillings, what is the total revenue he makes in 11 days?

<p>121,000 shillings (B)</p> Signup and view all the answers

Johari buys 46 loaves of bread at 800 shillings each. If she pays with 40,000 shillings, how much change does she receive?

<p>3,200 shillings (B)</p> Signup and view all the answers

A factory produces 525 mobile phones each day. How many mobile phones will it produce in 3 weeks if it operates 7 days a week?

<p>11,025 mobile phones (A)</p> Signup and view all the answers

Furaha sells 26 bags of oranges at 950 shillings each. If he spends 10,000 shillings of the earnings, how much money does he have left?

<p>14,700 shillings (B)</p> Signup and view all the answers

What is the result of $2346 \times 14$?

<p>32,844 (B)</p> Signup and view all the answers

685 cement bricks are needed to build a chicken coop. If the cost of one cement brick is 20 shillings, how much will it cost to buy the cement bricks needed for 11 chicken coops?

<p>150,700 shillings (B)</p> Signup and view all the answers

A tree plantation has 287 rows with 66 trees in each row. If 10% of the trees die due to a disease, approximately how many trees are remaining?

<p>17,048 (C)</p> Signup and view all the answers

Determine the result of: $4167 \times 17 = $ ?

<p>70,839 (D)</p> Signup and view all the answers

What is the product of 321 and 15, calculated by multiplying 321 by 5 ones, multiplying 321 by 1 ten, and adding the two results?

<p>4,815 (B)</p> Signup and view all the answers

If you multiply a number by 12 and get a result of 4,824, what is the original number?

<p>402 (C)</p> Signup and view all the answers

A store sells 215 items each day. After 14 days, how many total items have been sold?

<p>3,010 (D)</p> Signup and view all the answers

If a box contains 125 pencils, how many pencils are in 16 boxes?

<p>2,000 (C)</p> Signup and view all the answers

What is the correct vertical arrangement to solve 123 x 12?

<h2>123 X 12 246 +1230</h2> <p>1476 (A)</p> Signup and view all the answers

A school has 3 grades, each grade has 112 students. Each grade can be divided into 4 classes. In each class every student is given 10 exercise books, How many exercise books are given out in total across the three grades?

<p>3360 (C)</p> Signup and view all the answers

A small store's weekly expenses total $1,210. If a business owner wants to determine their expenses for 11 weeks, which multiplication problem should be used?

<p>1,210 x 11 (D)</p> Signup and view all the answers

If multiplying 5 by 220 gives one result, and multiplying 10 by 110 gives another result, what can be determined by comparing the two answers?

<p>That both results are the same. (C)</p> Signup and view all the answers

If you multiply 452 by a certain number and the result is 2712, what is the multiplier?

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

What is the value of (6 x 50) + (6 x 400)?

<p>2,700 (C)</p> Signup and view all the answers

Which expression demonstrates the multiplication of 452 by 56 using expanded form?

<p>$(6 \times 2) + (6 \times 50) + (6 \times 400) + (50 \times 2) + (50 \times 50) + (50 \times 400)$ (C)</p> Signup and view all the answers

In the multiplication of 452 by 56, what is the sum of the products obtained when multiplying 452 by the tens digit of 56?

<p>22600 (C)</p> Signup and view all the answers

What is the difference between the product of 452 and 56, and the product of 452 and 6?

<p>22,600 (A)</p> Signup and view all the answers

If a number multiplied by 56 equals 25,312, what is the original number?

<p>452 (A)</p> Signup and view all the answers

In the multiplication process shown, what is the significance of aligning the digits properly according to their place value?

<p>It ensures accurate addition of partial products. (A)</p> Signup and view all the answers

Which operation is the inverse of multiplication, and could be used to check the answer to '452 x 56 = 25312'?

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

The number of crates multiplied by the number of bottles in one crate gives the total number of bottles.

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

When multiplying 278 by 13, the first step in the horizontal arrangement is to multiply 278 by 3, resulting in 834.

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

To find the total cloth produced in 23 days, you should divide the cloth produced per day by 23.

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

When multiplying 278 by 13 using the horizontal method, the second step involves multiplying 278 by 1, resulting in 278.

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

If one pair of kitenge costs 30 500 shillings, then 8 pairs cost less than 30 500 shillings.

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

In the horizontal arrangement for multiplying 278 by 13, the final step is to add 834 and 2780 to get the final answer.

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

If a lorry transports 629 sacks of cement in one trip, it will transport fewer sacks in 65 trips.

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

When using the vertical arrangement to multiply 278 by 13, 3 multiplied by 8 equals 14.

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

To find the total number of words in a book, multiply the number of lines by the number of words per line.

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

In the vertical arrangement for multiplying 278 by 13, multiplying 3 by 70 equals 210.

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

When multiplying 278 by 13 using vertical arrangement, 10 multiplied by 200 equals 200.

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

The result of 278 multiplied by 13 is 3,614.

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

The product of 374 and 62 is found in the provided list of multiplication problems.

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

The example provided demonstrates multiplying a number with six digits by a one-digit number.

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

In the example calculation, 5 multiplied by 600 equals 2,000.

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

The steps in the multiplication example break down the process by place value.

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

The final answer for the example problem, 24 615 × 5, is 123,075.

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

When multiplying two numbers, the order in which you multiply them affects the final product.

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

The multiplication problems provided all involve multiplying by a number with up to three digits.

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

The product of 10 and 5 is 15.

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

According to the example, $3 \times 5 = 150$.

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

The product of 1 433 and 14 is found in the list of problems.

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

Multiplying any number by one results in that same number.

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

The result of a multiplication problem is called the sum.

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

Within the example computation, you add 1 to 20 000.

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

The first step in example 1, 24 615 × 5, is multiplying 5 by 10.

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

To find 23 x 10, you simply add a zero to the end of 23, resulting in 230.

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

According to the example, $3 \times 100 = 3000$.

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

Multiplying any number by zero results in zero.

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

According to the exercise description, you should duplicate the worksheet.

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

If you multiply 12 by 3, the answer is 46.

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

The final answer in the example is obtained by adding $15 + 180 + 300 + 6000$.

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

The example shows that $2165 \times 3 = 6495$.

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

When multiplying a two-digit number by a one-digit number, you only need to multiply the ones place.

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

Estimating can be used to check if the answer to a multiplication problem is reasonable.

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

In the exercise questions, the first question is $495 \times 3$.

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

In the exercise questions, one of the questions is $306 \times 12$.

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

The commutative property of multiplication says that changing the grouping of factors does not change the product.

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

Multiplication is a mathematical operation that combines two numbers, called factors, to produce a number called a quotient.

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

Learning multiplication is not useful for understanding concepts such as division, fractions, and algebra.

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

If a market vendor calculates their total revenue by multiplying the number of items sold by the price per item, this is an example of a real-life application of multiplication.

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

The product of $104 \times 100$ is $10,400$.

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

In the provided multiplication example, the partial product 5520 represents the result of multiplying 276 by 20.

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

If you want to calculate the total cost of 15 identical items priced at 474 each, you would perform the multiplication $474 \times 15$. The result would be $7,110$.

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

To find the total number of bottles in 5,624 crates, each containing 24 bottles, we should perform addition.

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

The product of $342 \times 24$ is less than the product of $431 \times 22$.

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

When computing 255 x 204, the partial product obtained by multiplying 255 by 4 is 1022.

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

The result of $213 \times 6$ is greater than $1,200$.

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

The multiplication problem 413 x 142 can be correctly solved by first multiplying 413 by 2, then by 40, and finally by 100, and then adding the results.

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

If one store has 15 crates containing 20 bottles each and another has 10 crates containing 30 bottles each, the second store has fewer bottles than the first store.

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

If a class has 53 pupils and the teacher gives 4 pencils to each student, then the total number of pencils given to the pupils is 212.

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

If a cow produces 15 litres of milk each day, then it will produce 1,500 litres of milk in 100 days.

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

If Magoma makes 220 cement bricks a day, then he will make 2,420 cement bricks in 11 days.

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

If a loaf of bread is sold at 800 shillings and Johari buys 46 loaves, she will pay 35,800 shillings.

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

If Furaha sold 26 bags of oranges at 950 shillings each, he made 24,700 shillings.

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

If 685 cement bricks are needed for one chicken coop, then 7,535 cement bricks will be needed to build 11 chicken coops.

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

The product of 117 and 33 is 3,851.

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

If 134 mangoes are harvested daily, then 9,380 mangoes will be harvested in 70 days.

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

A tree plantation with 287 rows of trees, each having 66 trees, contains a total of 18,942 trees.

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

When multiplying 278 by 13 using horizontal arrangement, the first step involves multiplying 278 by 10 ones.

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

In the vertical arrangement method, multiplying 3 by 70 results in 210, representing the product of the ones digit of the multiplier and the tens digit of the multiplicand.

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

In the example provided, multiplying 2165 by 3 involves breaking down 2165 into thousands, hundreds, tens, and ones, and then multiplying each by 3.

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

Based on the example, to calculate $306 \times 12$, one would only need to multiply 306 by 10 and then by 2, and add the products.

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

The final result of multiplying 278 by 13 is 3,614, regardless of whether horizontal or vertical arrangement is used.

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

When using vertical arrangement for multiplication, 10 × 200 results in 200, representing the product of the tens digit of the multiplier and the hundreds digit of the multiplicand.

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

According to the example, when multiplying 2165 by 3, one would first multiply 3 by 5 to get 15, then 3 by 60 to get 180, then 3 by 100 to get 300, and finally 3 by 2000 to get 6000.

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

The provided example demonstrates that $2165 \times 3$ can only be solved using the expanded form method, breaking down 2165 into its place values.

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

In horizontal multiplication of 278 by 13, the second step is to multiply 278 by 10, which equals 2,780.

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

If the question was to calculate $432 \times 22$, it would be correct to multiply $432 \times 20$, then $432 \times 2$ then add both totals together.

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

The vertical arrangement method breaks down the multiplication process into calculating partial products based on place value.

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

According to the example, the only factor that needs to be considered for each digit is the ones.

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

When multiplying 278 by 13, multiplying 278 by 3 contributes 634 to the final result.

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

Based on the example, when multiplying 2165 by 3, the calculation $3 \times 60$ contributes 190 to the final answer.

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

If the multiplier was 14 instead of 13, the partial products in the vertical arrangement would remain exactly the same.

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

The horizontal arrangement method requires adding partial products, whereas the vertical arrangement directly provides the final answer.

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

The example multiplication problem has no relationship with the distributive property of multiplication.

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

In the multiplication problem shown in the example, the final answer to $2165 \times 3$ is 6485.

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

When estimating the product of 278 and 13, rounding 278 to 280 and 13 to 10 would yield an estimated product of 2,800.

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

To find the product of 497 and 3 (i.e. $497 \times 3$), one could estimate by multiplying 500 by 3, and the answer should be approximately 1500.

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

Flashcards

Place Value

The value of a digit based on its position in a number.

Ten Thousands

The value represented by the digit in the ten thousand place (10,000).

Grouping Objects

Counting items in clusters to simplify the counting process.

Total Value of Groups

The sum of values from grouped items.

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Count up to 500,000

The highest value you can count using this method effectively.

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One Ten Thousand Example

Counting one card valued at ten thousand.

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Zero in Place Value

Represents an absence of quantity in its specific position.

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Ten thousands place

The position of a digit that represents ten thousand in a number.

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Numeral for 352 862

The numerical representation of the number read as three hundred fifty-two thousand eight hundred sixty-two.

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Sequence of numbers

A series of numbers generated through addition or subtraction.

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Subtracting a thousand

Taking away 1,000 from a number to find a smaller value.

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Adding 5 successively

Increasing a number by 5 repeatedly to create a series.

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Three consecutive numbers

Numbers that follow each other in order, differing by one.

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Filling in the blanks in sequences

Completing a pattern in numbers by adding or subtracting.

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Reading large numbers

Understanding how to verbally express numbers with many digits.

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Total value of a digit

The worth of a specific digit in a number based on its position.

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Total Tablets in Containers

The total number of tablets is one million.

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Example of total value

In 479,651, the value of 4 is 400,000 and of 9 is 9,000.

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Expanded form of a number

A way to write a number as the sum of the values of its digits.

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Containers with 10,000 Tablets

There are 9 containers, each with 10,000 tablets.

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Value of 9 in 89,670

The total value of 9 in this number is 9,000.

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Containers with 1,000 Tablets

There are 10 containers, each with 1,000 tablets.

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Place Value of 1 in 1,000,000

The place value of the digit 1 is one million.

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Position of digits

The placement of a digit in a number determines its value significantly.

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Counting Patterns

Patterns in counting involve regular increments.

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Digit in the Hundreds place

A digit in the hundreds place represents hundreds in a number.

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Hundreds Increment Example

Example: 699,200, 699,300, 699,400.

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Digit in the Tens place

A digit in the tens place indicates its value multiplied by ten.

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Digit in the Ones place

The ones place shows the basic single digit value in a number.

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Missing Numbers in Patterns

Finding missing numbers in a sequence.

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Total value example: 7 in 479,651

The total value of 7 here is 70,000 based on its position.

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Numbers in Patterns

Creating a list by adding a fixed number repeatedly.

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Digits grouped by place value

Numbers are grouped by thousands, hundreds, tens, and ones for clarity.

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Counting Basin Use

Used for checking total counts of items.

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Total Calculation Method

Add up the values of all containers to find total.

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Abacus Representation

The abacus represents numbers using beads in columns for each place value.

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Reading Numbers

The process of interpreting the value of a number based on its place value arrangement.

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Number Form

The standard way of representing a number using digits, e.g., 372056.

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Numeric Breakdown

The detailed layout of a number showing each digit's value by place.

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Whole Numbers

Numbers without fractions, decimals, or negative values.

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Number Pattern

A pattern of numbers where there is a consistent difference between consecutive numbers.

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Subtracting 1

Finding what remains after taking away a quantity from a number.

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Smallest Number Formation

Arranging numbers from smallest to largest.

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Largest Number Formation

Arranging numbers from largest to smallest.

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Counting to One Million

Counting up to 1,000,000.

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Drug Container

A collection of tablets contained within a labeled vessel.

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Counting in Groups

Counting groups by the number each contains to find the entire count.

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Finding the Total

Adding the count of each container.

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900,000 tablets

Nine hundred thousand tablets total.

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Finding 900,000

Adding nine '100,000's.

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Ones Place

The place for single-digit numbers.

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Tens Place

The place representing groups of ten.

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Hundreds Place

The place representing groups of one hundred.

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Thousands Place

The place representing groups of one thousand.

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Hundred Thousands Place

The place representing groups of one hundred thousand.

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Counting Basin

A tool used to organize counting with place values.

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Counting in Place Values

Breaking down a number by each digit's place value.

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Total Count

The total collection of objects in different place values.

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Hundreds in Ten Thousand

Ten thousand contains one hundred hundreds.

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Numeral Representation

A way to express a number using digits.

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Number in Words

Expressing a number using written words.

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Digit Place Value

The value a digit has because of its position in the number.

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Expanded Form

Expressing the value of a number according to its digit positions and their corresponding place values.

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Counting in Increments

Counting by adding forty thousand to the previous number.

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Packages of Shillings

A group of ten packages, each containing one hundred thousand shillings.

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One Million Shillings

One million shillings is equivalent to ten groups of one hundred thousand shillings.

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Defining One Million

The quantity represented by 1 followed by six zeros (1,000,000).

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Efficient Counting

A strategy to efficiently count large quantities by grouping into sets of thousands, ten thousands, etc.

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Value Relationship

The relationship between a smaller value (100,000) and a larger value (1,000,000).

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Extending Counts

Extending the count from a starting point by consistently adding a fixed amount.

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Bundled Counting

Counting items organized into bundles to simplify the counting process.

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Total Bundled Value

Recognizing the quantity or worth represented by multiple bundles together.

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Currency Package

A package containing one hundred thousand units of currency.

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Total value

Add the value of each place to get the total.

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One Million Shilling Package

A package containing one million shillings.

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Labeled Tablet Containers

Drug containers with a labeled amount of tablets inside.

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Counting Items in Clusters

Counting items in groups to find the total.

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Total Tablets

Adding up the number of tablets in all containers to find the total tablets available.

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Determining Total Quantity

The process of establishing the overall quantity from several containers.

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Labeling Groups

Representing a large quantity by labeling the number of groups and their values.

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Total Groups Label Number

The number of each cluster with a label.

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Nine Hundred Thousand

Nine hundred thousand tablets collected in nine containers.

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Reading Numbers (Place Value)

Numbers are read from left to right, based on the place value of each digit.

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Highest Place Value

The digit farthest to the left has the highest place value.

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Identifying the Larger Number

Determining which of the given numbers is larger in value.

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Identifying the Smaller Number

Determining which of the given numbers is smaller in value.

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Hundred Thousands

Represents one hundred groups of one thousand.

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Thousands Digit

The digit representing thousands in a number.

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Hundreds Digit

The digit representing hundreds in a number.

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Forming the Largest Number

Arranging digits from largest to smallest to create the highest possible number.

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Forming the Smallest Number

Arranging digits from smallest to largest to create the lowest possible number.

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Abacus Use

A visual tool using beads or counters to represent numbers and perform calculations.

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Counting by Thousands

Adding one thousand repeatedly to generate a sequence of ascending numbers.

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Adding Ten Thousand Pattern

A sequence where each number is ten thousand more than the previous one.

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Counting Basin Tool

A basin with counters used to visually represent and count numbers.

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Identifying Six-Digit Numbers

A number with six digits, where the first digit is in the hundred thousands place.

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Understanding Number Composition

A number represented as a sum of multiples of powers of ten (1, 10, 100, 1000...).

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Digit Position Significance

Understanding that the position of a digit determines its value.

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Representing Quantities Visually

The value of each digit in a number and the total number represented

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Numeral

A way of expressing a number by writing its digits in the correct order.

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Numeral Example

107,505 is a way of writing one hundred seven thousand five hundred and five.

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Numeral Form

789,000 is how you write seven hundred eighty-nine thousand.

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Successive Thousands

Following 899,000, add 1,000 successively.

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Adding Thousands

Consistently adding one thousand to advance in number.

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Ten Thousand Pattern

Incrementing numbers by adding ten thousand each time.

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Adding Ten Thousand

Adding 10,000 to the previous number

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105,202 in Words

One hundred five thousand two hundred and two is 105,202.

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254,000 in Words

Two hundred fifty-four thousand is written as 254,000.

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100,006 in Words

One hundred thousand and six is written as 100,006.

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311,008 in Words

Three hundred eleven thousand and eight is written as 311,008.

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101,008 in Words

One hundred one thousand and eight is written as 101,008.

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411,000 in Words

Four hundred eleven thousand is written as 411,000.

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500,709 in Words

Five hundred thousand seven hundred and nine is 500,709.

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1,000,000 in Words

One million is written as 1,000,000.

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Reading Numbers Loudly

Reading place values from left to right to state a number.

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Number in numeral

A number expressed using digits.

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One Million

The number consisting of six digits written as '1' followed by six '0's. (1,000,000)

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Hundred Thousands Number

A six-digit number where the leftmost digit represents a value in the hundred thousands.

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Greater Number

The number that comes after when arranging the numbers from smallest to largest.

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Skip Counting

Counting by adding the same amount repeatedly.

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Number Sequence

A number you get by adding the same number to the previous one.

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Starting Number

The number you start with when counting.

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One Million (1,000,000)

Ten groups of one hundred thousand.

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Counting Forward

To find the next number by adding.

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Packages of Ten Thousand

Grouping in sets of ten thousand.

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Increment by 40,000

Adding forty thousand to the previous number in a sequence.

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Adding values together

Addition with repeated values

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Calculating the result

Adding up amounts to find overall numbers.

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Place values container

A tool used to organize counting by place values.

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Overall amount

Finding the total by combining each amount.

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Missing Numbers in Sequence

Finding the next numbers by adding or subtracting.

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Hundreds Increment

Adding one hundred to each previous number.

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One million tablets.

Total is 1,000,000

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What is a note?

A piece of currency.

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What is a ten thousand shilling note?

A note designated as being worth ten thousand shillings.

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What is a one thousand shilling note?

A note designated as being worth one thousand shillings.

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What is a five hundred shilling note?

A note designated as being worth five hundred shillings.

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What does 'count' mean here?

To find the total sum or amount.

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What is 'total amount of money'?

The overall amount when combining different currencies.

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What will be the first step in the solution?

  1. Count the ten thousand shillings notes in Figure 1.There are 9 notes with a total amount of 90 000 shillings.
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Previous Number

A number that occurs immediately after another in a sequence.

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Adding Forty Thousand

Adding the same quantity repeatedly to reach a target number.

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Counting Up

The act of incrementally increasing numbers in a sequence.

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Counting to 1,000,000

Reaching the numerical value of 1,000,000 through counting.

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Shillings Note

A printed slip representing monetary value.

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Package

A collection of items bundled or wrapped together.

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Ten Packages of 100,000

Ten packages of 100,000 units each.

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Place Value Importance

The position of a digit determines its place value in the number. Starting from right (ones) to left (millions).

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Comparing Numbers

To compare numbers, start by looking at the digits in the largest place value. The number with the larger digit in that place is the larger number. If equal, proceed right.

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Total value of 9 in 89,670

9 multiplied by its place value in the number.

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Value in the Thousands Place

The value of the digit multiplied by 1,000.

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Expanded Form Definition

Writing a number by adding the total values of its digits.

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Numbers in Expanded Form

Numbers written as the sum of the values of each digit.

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Total Count in Basin

Adding up the quantities represented in each section of the counting basin.

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Numeral Expression

A way to write the number by using digits.

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Adding One Hundred Patterns

Finding values in a pattern where each number increases by adding one hundred.

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Subtracting Ten Pattern

Completing a sequence of terms by subtracting ten from the previous number.

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Adding One Thousand Pattern

Filling in missing members of a sequence when adding one thousand each term.

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Adding one hundred

To increase by one hundred to get the next value.

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Addition

Combining two or more numbers to find their sum.

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Addends

The numbers that are added together.

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Sum

The result of adding two or more numbers.

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Total

Another word for 'sum'; the result of adding numbers.

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Number Relationships

Understanding the connections and relationships between numbers.

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Word Problems

Applying math skills to solve real-life scenarios.

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Adding Zero

Adding 0 to a number leaves the number unchanged.

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Adding Numbers

To add numbers, align them by place value and add each column.

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Add Ten Thousands

Adding the ten thousands place.

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Add Hundred Thousands

Adding the hundred thousands place.

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Direction of Addition

Addition is performed from right to left, column by column.

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What is Addition?

Addition is the process of combining two or more numbers to find their total value.

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Vertical Alignment

Align numbers vertically by place value (ones, tens, hundreds, etc.).

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Carrying Over

Carry over any value greater than 9 to the next higher place value column during addition.

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Vertical Addition

Adding numbers by aligning them vertically according to their place values, such as ones, tens, hundreds, etc.

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Addition without Regrouping

Adding without needing to carry over digits to the next place value because each column's sum is less than 10.

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Result in Addition

The sum (total) obtained after adding two or more numbers together.

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Vertical Number Arrangement

Align numbers based on their place values (ones, tens, hundreds, etc.) before adding.

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Regrouping in Addition

If the sum of digits in a place value column is 10 or more, regroup the tens digit to the next higher place value column.

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Ones Column Addition Example

Adding the digits in the ones column results in 15, which is regrouped as 1 ten and 5 ones.

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Tens Column Addition Example

Adding the digits in the tens column, including any regrouped digits results 18, which is regrouped as 1 hundred and 8 tens.

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Reading the Final Sum

After all place values are added and regrouped, read the final sum from left to right.

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Ones Place Addition

The rightmost digit in a number, determining its value between 0 and 9.

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Tens Place Addition

The second digit from the right, indicating how many groups of ten are in the number.

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Hundreds Place Addition

The third digit from the right, referring to the number of 'hundreds'.

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Carrying Over in Addition

Carrying over a digit when adding a column results in a number greater than 9, and move to the next highest place value.

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Thousands Place Addition

The fourth digit from the right, indicating the number of 'thousands'.

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Ten Thousands Place Addition

The fifth digit from the right, multiplied by 10,000.

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Adding in the Hundred Thousands Place

The leftmost digit representing groups of one hundred thousand in a number.

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Final Sum

The final sum after adding all digits in their respective place values.

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Place Value Alignment

Ensuring each digit is in the correct column (ones, tens, hundreds, etc.) before adding.

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What is Place Value?

The value of a digit based on its position within a number (ones, tens, hundreds, etc.).

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Adding Place Values

Adding numbers by starting with the ones place, then tens, hundreds, and so on.

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What is the Total?

The sum of two or more numbers.

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Horizontal Addition

Adding numbers in a row, keeping track of place values.

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What are Horizontally Arranged Numbers?

Numbers are written next to each other, such as 234 + 121.

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Adding Without Regrouping

Adding without needing to carry digits over to the next place value column.

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Add Thousands

Adding the digit in the thousands place.

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Adding Larger Numbers

Performing the addition operation with larger numbers.

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Digit Position Value

Each digit in a number has a specific value based on its position.

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Solve addition Problems

To work out the sum of given numbers.

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Six-Digit Numbers

Numbers with six digits, ranging from 100,000 to 999,999.

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Total amount?

The total amount obtained by combining two or more quantities.

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Total student enrollment?

The sum of all students enrolled into Form V over the three years (2015, 2016, 2017).

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Total bags of crops harvested?

The combined number of bags from beans, maize, and sunflower seed harvests.

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Total timber pieces harvested?

The combined count of timber pieces harvested by Njombe and Iringa Regions.

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Total number of desks?

The sum of desks in Jamhuri, Mwanga, and Mihayo Primary Schools.

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Aligning Place Values

Arranging numbers in columns (ones, tens, hundreds, etc.) to prepare for addition.

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Digit Value

The value of a digit (0-9) depends on its position (place value) within a number. Aligned numbers make this clear.

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Column Addition

Arranging numbers in columns according to their place values (ones, tens, hundreds, etc.) to facilitate addition.

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Right-to-Left Addition

Adding numbers starting from the rightmost column (ones place) and moving to the left.

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Carried Digit

The digit that is moved to the next column during the carrying process.

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What is adding without regrouping?

Adding numbers without needing to carry over digits.

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Where to start adding?

Always start adding from the rightmost column (ones place).

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Adding in Columns

Align the ones, tens, hundreds, etc., before adding.

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Adding Ones

Adding digits in the ones column.

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Hundreds Place Value

A digit in the hundreds place represents its value times 100.

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Thousands Place Value

A digit in the thousands place represents its value times 1,000.

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Ten Thousands Place Value

A digit in the ten thousands place represents its value times 10,000.

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Hundred Thousands Place Value

A digit in the hundred thousands place represents its value times 100,000.

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Verification

Checking if the calculated answer is correct.

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Addition of Large Numbers

A method to solve addition problems with large numbers.

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Arranging numbers for addition

Setting up an addition problem by vertically aligning the digits.

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Starting Addition

Adding the digits in the ones column first, during vertical addition.

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Numerical Notation

The standard format for writing down numbers in an addition problem.

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Addition with Regrouping

A process used when the sum of digits in any place value column is more than 9.

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Sum/Total

The result of adding two or more numbers; the total.

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Word Problems (Addition)

Using addition to solve problems presented in a real-world context.

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Addition in Daily Life

Applying addition skills in various aspects of daily life.

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Vertical Arrangement

The process of arranging numbers one above the other, aligning their place values for addition or subtraction.

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Example Sum

The sum of numbers: 235,641 and 621,357.

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Column-wise Addition

Add ones place (1+7=8), tens (4+5=9), hundreds (6+3=9), thousands (5+1=6), ten thousands (3+2=5), and hundred thousands (2+6=8).

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Sample Sum Solution

The result of adding numbers as in the provided example.

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Another Example Sum

The sum of: 453,472 + 316,513

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Step 1 of Addition

Step 1: Align the numbers by place value.

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Ones Position

The rightmost digit in a number, representing single units.

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Tens Position

The second digit from the right, representing groups of ten.

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Hundreds Position

The third digit from the right, representing groups of one hundred.

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Thousands Position

The fourth digit from the right, representing groups of one thousand.

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Ten Thousands Position

The fifth digit from the right, representing groups of ten thousand.

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Hundred Thousands Position

The sixth digit from the right, representing quantities of one hundred thousand.

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Proper Arrangement

Arranging numbers one above the other based on their place value.

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Addition Rules

The basic rules that govern addition, such as the commutative and associative properties.

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Checking Addition

To verify the sum, add numbers in reverse order.

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Carrying Over (Addition)

Carry over the tens to the next column on the left.

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Multiple Addends

Adding more than two numbers.

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Compatible Numbers

Numbers that can be added to make the calculation easier.

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Addition Order

The order in which you add numbers doesn't change the sum.

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What is Regrouping?

When the sum of digits in a place value is more than 9, transfer the tens digit to the next higher place value.

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What is the Carry?

The digit carried over to the next higher place value during addition.

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What is the Sum?

The result obtained after adding two or more numbers.

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Adding Hundreds

Adding the digits in the hundreds place together.

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Regrouping Ones

Combining 10 ones to make 1 ten.

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Adding Tens

Adding the digits in the tens column, including any regrouped tens.

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Regrouping Tens

Combining 10 tens to make 1 hundred.

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Adding Hundred Thousands

Adding the digits in the hundred thousands place.

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Vertical Number Alignment

Align numbers by their place values (ones, tens, hundreds, etc.) before adding.

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Example Addition Result

603,085 is the result after adding numbers vertically and regrouping.

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Adding Numbers Process

To perform addition aligning numbers by their place values (ones, tens, hundreds, etc.).

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Direction of Adding

Adding numbers larger numbers, it must start from right to left.

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What is sum?

Combining the numbers to find a total or sum.

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Adding Vertically

To find the total, arrange numbers vertically by their place values (ones, tens, hundreds, etc.).

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Thousands

A base-ten number with three zeros.

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Algorithm

A step-by-step procedure for solving a problem.

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Addition with Carrying

Addition that involves regrouping digits to the next higher place value.

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Adding Tens Digits

Combining the digits in the tens place.

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Adding Hundreds Digits

Combining the digits in the hundreds place.

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Adding Thousands Digits

Combining the digits in the thousands place.

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Adding Ten Thousands Digits

Combining the digits in the ten thousands place.

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What is an Addend?

The number positioned to the right of another number, used to add.

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Large Number Addition

Adding numbers up to 999,999.

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Adding w/o regrouping?

Adds quantities without needing to carry over digits.

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Horizontally arranged numbers

Numbers arranged in a side-by-side format.

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Addition Steps

Start with ones, then tens, then hundreds, etc.

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Adding Ones First?

Adding the digits in the ones place first.

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Highest Place Value Position

The digit furthest to the left in a number.

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Place Value Columns

The place values (ones, tens, hundreds, etc.) aligned vertically.

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Carry Digit

The number 'carried' to the next higher place value column during addition.

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Adding Right to Left

Starting addition from the rightmost column (ones place).

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What is Total Number?

The total count of all items present in the combination of multiple sets.

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What is Total Harvest?

The value you get after combining separate amounts such as bags of crops.

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What is Total Amount?

The combined count of possessions or savings.

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Adding Ones (with Regrouping)

Adding digits in the ones column. If the sum is greater than 9, regroup the tens digit.

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Adding Tens (with Regrouping)

Adding the digits in the tens column, including any regrouped tens. If the sum is greater than 9, regroup the hundreds digit.

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Adding Hundreds (with Regrouping)

Adding digits in the hundreds column, including any regrouped hundreds. If the sum is greater than 9, regroup the thousands digit.

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Adding Thousands (with Regrouping)

Adding the digits in the thousands column, including any regrouped thousands. If the sum is greater than 9, regroup the ten thousands digit.

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Carrying Over (Regrouping)

Write the sum in the appropriate place value column, carrying over when necessary.

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Adding by Place Value

Breaking down a number to add by place values (ones, tens, hundreds, etc.).

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Multi-Digit Addition

To add numbers with multiple digits, align them by place value, then add each column.

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Carrying in Addition

Sometimes when adding a column the sum is greater than 9, so carry the tens digit to the next column.

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Adding by Regrouping

Adding numbers by reorganizing groups of tens, hundreds, etc.

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239,879 + 46,823 =

To find the total when adding 239,879 and 46,823.

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Solve the equation

162,845 + 134,027 = ?

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Solve the equation

526,517 + 34,048 = ?

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Solve the equation

2,964 + 298,576 = ?

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Solve the equation

881,054 + 9,999 = ?

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Solve the equation

216,783 + 678,357 = ?

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Solve the equation

69,000 + 209,179 = ?

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Solve the equation

526,507 + 386,549 = ?

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Adding to Six-Digit Number

Replacing a 5-digit number.

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Total Sum

The result obtained after adding the addends.

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Digit Alignment

Ensuring digits are aligned according to their place value.

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Total Residents

The sum of residents in multiple wards, found by adding the number of residents in each ward together.

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Total Amount of Money

The combined amount of one's savings plus any additional funds received, like a loan.

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Total Tree Seedlings

The combined number calculated by adding the count of seedlings from both Handeni and Manyoni districts together

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Total Number of Books

Calculated by adding the number of books in Dodoma and Mbeya Regional Libraries.

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What are Addends?

Numbers that are added together in an addition problem.

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What are Large Whole Numbers?

Numbers up to 999,999.

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What are Word Problems?

Applying addition skills to solve real-life scenarios.

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What is an Addition Problem?

A problem of the form: 61 345 + 32 134

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Consistent Place Values

Add corresponding digits based on their place value (ones + ones, tens + tens, etc.).

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Horizontal Arrangement

Writing numbers from left to right.

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Adding Horizontally

Add the digits in each place value column.

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888,888 + 110,011

Adding 888,888 and 110,011. The total is 998,899.

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Rightmost Digit

The digit farthest to the right has the lowest place value.

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Regrouping

The process of exchanging amounts between place values during calculation.

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Expanded Form (Addition)

Writing a number showing the value of each digit.

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Adding multiple quantities

Adding the quantities from multiple groups to get one final number.

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Solve

To work out or find a clear solution.

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Addition Process Summary

Expressing a number by summing the value of each place.

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Sum (in Addition)

The final result obtained after performing all the addition steps.

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Subtraction

Taking away some objects from a collection.

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Subtraction vs. Addition

The opposite mathematical operation of addition.

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Subtraction without Regrouping

Subtracting numbers without changing place values.

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Subtraction with Regrouping

Subtracting numbers that require borrowing from other place values.

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Difference

The result of a subtraction problem.

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Subtraction Word Problems

Problems presented in sentences requiring mathematical solutions, in this case subtraction.

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Real-Life Subtraction

Essential for managing money, time, and quantities in everyday situations.

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Subtract Hundred Thousands

Subtracting numbers in the hundred thousands place.

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Calculating the Difference

257,645 - 34,413 = 223,232

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Subtraction Example

478,376 – 255,142

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Represent Digits

Put counters to match the digits and their place values.

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Subtract with Counters

Remove counters to subtract from digits.

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Uncrossed Counters

Calculating difference by place value.

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Difference of 478,376 and 255,142

223,234

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Breaking Down Large Subtraction

Step-by-step visualSubtraction steps explained.

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Aligning Numbers

Align numbers by their place values (ones, tens, hundreds, etc.).

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Column Subtraction

Subtract each column separately, starting from the ones place.

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Total Value of Subtraction

Combining the values of each place value after subtraction.

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Taking One Group

Exchanging a unit from the next higher place value to perform subtraction.

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Ten Thousands to Thousands

Breaking down ten thousands into smaller units of thousands.

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Subtraction Result

The result after subtracting one number from another.

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Subtraction Steps

A specific method to solve subtraction problems by breaking down each step.

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Subtraction Difference

The result of reducing one number from another.

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What is Subtract?

To diminish or find the difference between two numbers.

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Ordering Digits

Arranging digits to show the place value in order.

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Vertical Subtraction

Subtract numbers by aligning them vertically, ensuring each place value (ones, tens, hundreds, etc.) is in the correct column.

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Regrouping in Subtraction

Rearranging digits between place values to perform subtraction when the top digit is smaller than the bottom digit.

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Solve: 854,623 - 24,205

854,623 - 24,205

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Solve: 664,378 - 123,453

664,378 - 123,453

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Solve: 928,765 - 726,847

928,765 - 726,847

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Remainder

The amount left after subtracting one number from another.

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Horizontal Subtraction

Subtracting numbers by aligning them horizontally.

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Digit Position

The position of a digit in a number such as ones, tens, hundreds etc.

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Subtracting Numbers

The process of finding the difference in quantity.

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Subtracting Hundred Thousands

Subtract the hundred thousands place.

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257,645 - 34,413

Subtracting 34,413 from 257,645 equals 223,232.

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Counters to Digits

Matching numbers.

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Subtraction Operation

The operation of taking away a quantity from another.

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Crossing Counters

Crossing out counters.

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Example: Counting Basin

A visual tool used to calculate numbers.

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478,376 - 255,142

Subtracting 255,142 from 478,376 equals 223,234.

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What is Subtraction?

Taking away one number from another to find the difference.

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Order of Subtraction

Start with the ones column, then tens, hundreds, and so on, from right to left.

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Subtracting Place Values

First, subtract the ones, then the tens, then the hundreds, etc.

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Subtracting Tens

The difference between the tens digits in two numbers.

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Subtracting Hundreds

The difference between the hundreds digits in two numbers.

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Subtracting Thousands

The difference between the thousands digits in two numbers.

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Subtracting Ten Thousands

The difference between the ten thousands digits in two numbers.

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What is Expanded Form?

Breaking down a number into the sum of each digit's place value.

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Expanded Form Subtraction

A number written as the sum of the values of its individual digits.

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Subtracting Ones

Subtract the ones place values.

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Finding the Difference

The result after subtracting two numbers.

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Place Value in Subtraction

The value of each digit based on its place.

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Subtraction Direction

Start subtracting from the rightmost column (ones place) and proceed to the left.

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Subtraction by Regrouping

Subtracting by reorganizing groups of numbers.

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Regrouping (Subtraction)

Reorganizing numbers into different place values during math.

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Difference (Math)

The result of subtracting one number from another.

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Insufficient Subtraction

When a digit being subtracted is smaller than the digit being subtracted from.

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Remaining Balance

The amount left after a withdrawal.

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Items Not Burnt

The number of items remaining after some are removed.

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Pupils Who Passed

Number of students who successfully completed the exam.

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Example of Vertical Subtraction

457,234 - 134,102

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Subtraction Order

Begin subtracting from the ones place, then move to the tens, hundreds, and so on.

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Recording the Result

Write '2' in the ones position of the answer.

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643,270 – 541,240 = ?

102,030

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Vertical Subtraction Setup

Align numbers by place value (ones, tens, etc.)

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Subtraction Process

Subtract each column, starting from the ones place.

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Place Value Decomposition

Decompose a place value to increase the value of the next one

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Example Subtraction 1

652,451 - 331,041

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Example Subtraction 2

826,666 - 714,232

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Practicing Subtraction

Completing subtraction problems correctly.

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Example Subtraction 3

527,238 - 20,014

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Example Subtraction 4

237,972 - 112,451

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Example Subtraction 5

823,574 - 1,230

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Example Subtraction 6

912,345 - 810,212

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Place Value Subtraction

Subtract the numbers based on their place value.

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Subtraction Problem

A mathematical problem that involves taking away a sum of numbers.

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Decomposing Numbers

Breaking numbers down into their place values to help with subtraction.

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Minuend

The number that is being subtracted from.

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Word Problems (Subtraction)

Using subtraction to find an unknown value in a real-life situation.

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Subtraction as Opposite of Addition

A mathematical process showing the relationship between quantities.

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Example: 257,645 – 34,413

Illustrative subtraction showing how to subtract 34,413 from 257,645, resulting in 223,232.

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Defining Results of Subtraction

The result after performing the subtraction operation.

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Defining Subtraction Problem

The problem being solved, in this case, a subtraction between two numbers.

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Counting Basin Subtraction

A method for performing subtraction, especially with larger numbers, by tracking place values.

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Counters in Place Value

Representing numbers by placing counters in respective place value columns.

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Counting Uncrossed Counters

Recording the remaining (uncrossed) counters.

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Example: 478,376 – 255,142

Subtract 255,142 from 478,376 using the counting basin method; the answer is 223,234.

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Subtrahend

The number that is subtracted from another number.

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Subtracting Vertically

Starting from the ones place and moving left, subtract each column of digits.

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Subtraction by Regrouping (Horizontal)

A method of subtracting numbers where you may need to regroup.

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Subtracting Ones Place First

In subtraction, start with the ones place, then tens, hundreds, and so on.

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Insufficient Digit in Subtraction

When the top digit is smaller than the bottom digit in subtraction, you need to get help from the next greatest number.

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Standard Subtraction Method

Align numbers by place value (ones, tens, hundreds, etc.) and subtract each column.

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Direct Subtraction

Subtract each digit in the bottom number from the corresponding digit in the top number.

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Proper Alignment

Lining up numbers based on their place value before subtracting.

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Step-by-Step Subtraction

Subtract the numbers, one place value at a time, starting from the right.

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Repeated Subtraction

Taking away the same amount from different total amounts.

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Remaining Quantity

The quantity that results from subtraction.

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Reducing Quantities

The process of reducing a number by a specified amount.

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Product (Multiplication)

The total when multiplying two numbers.

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Multiplication

Repeated addition of the same number.

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Two-Digit Multiplier

Multiplying a number by another with up to two digits.

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Multiplier Place Values

Start multiplying by the ones place, then the tens, and so on.

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Pencils for 53 Pupils

53 pupils * 4 pencils/pupil

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Milk Production (100 days)

15 liters/day * 100 days

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Bricks in 11 Days

220 bricks/day * 11 days

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Multiplication Method

To find the product of two numbers by breaking down each number into its place values and multiplying each part.

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Long Multiplication

The process of multiplying each digit of one number by each digit of another number, aligning place values correctly.

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497 x 3

Multiplying 497 by 3.

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3,237 x 4

Multiplying 3,237 by 4.

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1,220 x 8

Multiplying 1,220 by 8.

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306 x 12

Multiplying 306 by 12.

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511 x 15

Multiplying 511 by 15.

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432 x 22

Multiplying 432 by 22.

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281 x 59

Multiplying 281 by 59.

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Single-digit multiplication

Multiplying a number by a single-digit number.

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Product

The result obtained after multiplying two or more numbers.

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Multiplication process

Breaking down a multiplication problem into smaller, manageable steps.

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Multiply Ones

Multiplying a number by the value in the tens place (e.g., 24,615 x 5 = 24,615 x 5 ones)

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Multiplying by powers of 10

Multiplying a number by 10, 100, 1000.

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Expanded Form (Multiplication)

Breaking numbers down into the sum of their place values.

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Tens Multiplication

Multiplying by the tens values separately.

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Hundreds Multiplication

Finding product of a number multiplied by the hundreds value.

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Comparing Products

Multiply 531 by 6 and 351 by 7 and compare the results.

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Total production

The quantity of material produced. (Number of days)*(cloth produced per day)

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Sales Revenue

Total amount received after selling items. (Number of items)*(price per item)

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Total Words

The total lines in a book is calculated by (lines per page)*(number of words per line)

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Multi-Digit Multiplication

A method to perform multiplication with multi-digit numbers.

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Multiplying by place values

Breaking down a multiplication problem into easier steps by multiplying each digit.

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Partial Products

Writing partial results in a multi-digit multiplication problem.

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Addition in multiplication

Adding the partial products to find the final product in multi-digit multiplication.

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Multiplying by multiples of 10

Multiplying a number by multiples of 10 (10, 20, 30,...).

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Vertical Multiplication

Vertical arrangement of numbers to carry out calculations.

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Step-by-step calculation

A process where digits are multiplied and their results are placed below each other, then added to produce a final multiplied value.

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What is multiplication?

Finding the total when you have equal groups. It's a shortcut for repeated addition.

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Total pencils given

Multiply the number of pupils by pencils per pupil.

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Total milk produced

Multiply daily milk production by the number of days.

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Total bricks made

Multiply the number of bricks made per day by the number of days.

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Total cost of bread

Multiply the price per loaf by the number of loaves Johari buys.

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Total money earned per hour

Multiply the amount made per soap by the number of soaps produced in one hour.

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Horizontal Multiplication Method

Multiply each digit of one number by each digit of the other, then add the results.

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Vertical Multiplication Method

Organize numbers vertically, multiply each digit, carry over when needed, and sum the partial products.

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Multiplying by Ones (Example)

278 multiplied by 3 ones equals 834.

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Multiplying by Tens (Example)

278 multiplied by 1 ten equals 2,780.

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Summing Partial Products

Adding the results of multiplying by ones and tens.

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Vertical Multiplication Steps

In vertical multiplication, start with the ones, then tens, then hundreds, and so on.

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Expanded Multiplication

The result of multiplying each digit and place value separately.

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Multiplication Algorithm

A method of multiplying multi-digit numbers by breaking them down by place value.

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Multiplication Word Problems

Problems presented as sentences that require multiplication to solve.

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Step-by-Step Multiplication

The process of multiplying each digit of one number by each digit of another number.

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Determining Total Value

The total value of a number after performing multiplication.

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Simplifying Multiplication

Breaking down the multiplication into smaller steps.

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Detailed Solution

Showing the multiplication process step-by-step.

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Standard Multiplication Algorithm

The standard method to multiply numbers with multiple digits involving multiplying each digit and summing the aligned partial products.

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Final Product

The result of adding all the partial products together.

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Multiplicand

The number being multiplied.

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Multiplier

The number by which another number is multiplied.

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Value of Digit

The total value represented by the digits (including the zeroes) in the partial product.

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Leftward Progression

Moving leftwards, one column at a time.

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Horizontal Multiplication Arrangement

Separating a multiplication problem into smaller parts based on place value (ones, tens, etc.).

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Vertical Multiplication Arrangement

Breaking a multiplication problem into vertical columns to align place values.

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Multiplying by the Ones

Multiplying by the ones digit involves multiplying the top number by the digit in the ones place.

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Multiplying by the Tens

Multiplying by the tens digit involves multiplying the top number by the digit in the tens place.

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Multiplication Setup

Align numbers by place value (ones, tens, hundreds, etc.) before multiplying.

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Multiplication Order

Start with the ones place, then move left to tens, hundreds, and so on.

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Multiplying by 3

To multiply a number by 3.

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Multiplying by 4

To multiply a number by 4.

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Multiplying by 8

To multiply a number by 8.

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Multiplying by 12

Multiplying a number by 12.

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Multiplying by 15

To multiply a number by 15.

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Breaking Down Multiplication

Splitting a large multiplication problem into smaller, manageable steps.

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Adding Partial Products

The process of adding the results of partial products to find the final answer.

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Place Value in Multiplication

The value of a digit based on its position in a number (ones, tens, hundreds, etc.).

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Multiplying by Ones

Multiplying the ones digit of one number by each digit of the other number.

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Multiplying by Tens

Multiplying the tens digit of one number by each digit of the other number.

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Multiplication Layout

A method to visually organize and solve multiplication problems.

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Solving multiplication problems

Multiply the number of items in one group by the number of groups.

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What is a product?

The total number of items after multiplying two numbers together.

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What is distribution?

Allocate a specific quantity to each member of a group.

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Total production calculation

To find the total quantity, multiply the rate of production by the time.

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Factors

The numbers being multiplied together.

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Manual Calculation

To find the product manually, following calculation principles.

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Product (in multiplication)

The result obtained after multiplying two or more numbers.

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Concept of Multiplication

Multiplying a number involves combining groups of equal size.

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Multiplication by 1

Multiplying by 1 results in the original number.

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Real-life Multiplication

Solving practical issues through the operation of multiplication

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Multiplication by components

A way to solve multiplication with multi-digit numbers by breaking it down into smaller multiplications based on place value.

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Product in word problems

The total number of items when you put together equal groups.

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Total Pencils Calculation

The number of pupils in the class multiplied by the pencils per pupil.

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Total Milk Production

Multiply daily milk production by the number of days.

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Total Cement Bricks

Multiply the number of bricks made per day by the number of days.

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Total Money from Oranges

Multiply the price of one bag with the number of bags sold.

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Bricks for Chicken Coops

Multiply the bricks required for one coop by the multiple number of coops.

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Finding product of 117 and 33

Multiplying '117' and '33'.

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Combining Partial Products

Adding the results of multiplying by the ones and tens digits.

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What is Step-by-Step Multiplication?

To break down a multiplication problem into smaller, easier steps. Multiply each digit then add.

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How to Multiply?

Multiply each digit by the multiplier. Remember to carry over when necessary.

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What is Carrying Over?

When the product of a multiplication is greater than 9, carry over the tens digit.

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What is a Multiplier?

A number that is multiplied by another number.

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What is a Multiplicand?

A number that is multiplied by a multiplier .

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What is Multiplying by Multiples of Ten

Multiplying by multiples of ten is a quick way to multiply larger numbers.

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Study Notes

  • Whole numbers lack fractional or decimal components and negative values
  • Examples of whole numbers encompass 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9
  • Determining a digit's place value and counting, reading, and writing numbers up to 99,999 are fundamental skills
  • Numbers from 300,000 up to 500,000 are created by incrementing the previous number by forty thousand.
  • To obtain the place value of a digit in a number, identify the digit's specific position within the number
  • When items are grouped for easier counting, the groups can vary in size and color
  • Writing a number in expanded form should start with the digit having the largest place value and descend to the digit with the smallest place value

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

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Related Documents

Whole Number PDF
Addition of Whole Numbers PDF
Multiplication of Numbers PDF

Description

Explore whole numbers, place value up to one million, and number patterns. Includes exercises on completing number sequences, subtraction, and forming smallest/largest numbers using given digits. Useful for basic arithmetic skills.

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