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Questions and Answers
Three dimes is _____ of a dollar.
0.3
Three dimes is _____ percent of a dollar.
30
In this triangle, which segment is perpendicular to AC?
Segment AB (or whichever segment is perpendicular in the given triangle)
How many 2/5s are in 1?
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Write 3 1/3 as an improper fraction.
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Arrange these numbers in order from least to greatest: 1/3, -3, 3, 0.
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Which of the numbers in part (a) is not an integer?
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Use the numbers 2, 3, and 5 to illustrate the associative property of addition.
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What fraction of the rectangle is shaded?
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What fraction of the rectangle is not shaded?
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Subtract fifty-eight million from one hundred million and write the difference in words.
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List the factors of 21.
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List the factors of 48.
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Which numbers are factors of both 21 and 48?
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What is the greatest common factor of 21 and 48?
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Use digits and symbols to write "The product of one and three is less than the sum of one and three."
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Solve for m in 2320 + m = 4760.
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Solve for n in n - $8.75 = $9.55.
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Solve for p in 35p = 910.
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Simplify 3/5 + 1/5.
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Simplify 9/11 - 3/11.
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Simplify 3/5 x 4/7.
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What is 9 divided by 74,309?
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Calculate 40 times $1.63.
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How many 2/5s are in 2/5 : 2/5 : 2/5?
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Describe figure M---C.
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Describe figure P---M.
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Describe figure F---H.
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Study Notes
Fractions
- Three dimes is equivalent to 30 cents.
- 30 cents is 3/10 of a dollar.
- 30 cents is 30% of a dollar.
Perpendicular Lines
- A line that intersects another line at a right (90-degree) angle is called a perpendicular line.
Fractions
- To determine how many times a fraction goes into a whole number, divide the whole number by the fraction.
- In this case, 1 divided by 2/5 equals 5/2 or 2.5.
Mixed Numbers
- To change a mixed number into an improper fraction:
- Multiply the whole number by the denominator of the fraction.
- Add the numerator to the product.
- The denominator of the improper fraction is the same as the denominator of the original fraction.
- 3 1/3 is equal to 10/3.
Ordering Numbers
- A negative number is always less than a positive number.
- Integers are whole numbers, positive or negative.
- 1/3 is not an integer because it is a fraction.
Associative Property of Addition
- This property states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.
- Example: (2+3)+5 = 2+(3+5)
Area
- The area of a rectangle is found by multiplying its length and width.
Subtraction
- The difference between 100 million and 58 million is 42 million.
Factors
- Factors are numbers that divide evenly into another number.
- The factors of 21 are 1, 3, 7, and 21.
- The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Greatest Common Factor
- The greatest common factor (GCF) is the largest factor that is shared by two or more numbers.
- The greatest common factor of 21 and 48 is 3.
Inequality
- The product of 1 and 3 is 3.
- The sum of 1 and 3 is 4.
- An inequality uses symbols to compare numbers or expressions.
- The product of one and three is less than the sum of one and three can be written as: 1 x 3 < 1 + 3
Addition Equations
- To solve for m, subtract 2320 from both sides of the equation.
- Therefore, m = 2440
Subtraction Equations
- To solve for n, add $8.75 to both sides of the equation.
- Therefore, n = $18.30
Multiplication Equations
- To solve for p, divide both sides of the equation by 35.
- Therefore, p = 26
Adding Fractions
- To add fractions with like denominators, add the numerators and keep the same denominator.
- 3/5 + 1/5 = 4/5
Subtracting Fractions
- To subtract fractions with the same denominator, subtract the numerators and keep the same denominator.
- 9/11 - 3/11 = 6/11
Multiplying Fractions
- Multiply the numerators and multiply the denominators
- 3/5 x 4/7 = 12/35
Division
- Dividing by a number is equivalent to multiplying by the reciprocal of that number.
- To find the reciprocal of a fraction, flip the numerator and the denominator.
- Therefore, 2/5 divided by 2/5 is the same as 2/5 multiplied by 5/2.
- 2/5 x 5/2 = 1.
Geometry
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MC is a segment.
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PM is a ray.
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FH is a line.
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A segment is a part of a line that has two endpoints.
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A ray has one endpoint and extends infinitely in one direction.
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A line extends infinitely in both directions.
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Description
Test your understanding of fractions, mixed numbers, and perpendicular lines in this engaging quiz. Learn how to convert mixed numbers to improper fractions and explore the associative property of addition. Enhance your mathematical skills with a variety of questions.
