2.6 Chapter Review
Review Exercises
Find Equivalent Fractions
In the following exercises, find three fractions equivalent to the given fraction. Show your work, using figures or algebra.
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Simplify Fractions
In the following exercises, simplify.
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Multiply Fractions
In the following exercises, multiply.
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Divide Fractions
In the following exercises, divide.
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Simplify Expressions Written with a Fraction Bar
In the following exercises, simplify.
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Translate Phrases to Expressions with Fractions
In the following exercises, translate each English phrase into an algebraic expression.
49. the quotient of c and the sum of d and 9. | 50. the quotient of the difference of h and k, and ![]() |
Add and Subtract Fractions with a Common Denominator
In the following exercises, add.
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In the following exercises, subtract.
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Add or Subtract Fractions with Different Denominators
In the following exercises, add or subtract.
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Use the Order of Operations to Simplify Complex Fractions
In the following exercises, simplify.
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Evaluate Variable Expressions with Fractions
In the following exercises, evaluate.
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Name and Write Decimals
In the following exercises, write as a decimal.
85. Eight and three hundredths | 86. Nine and seven hundredths |
87. One thousandth | 88. Nine thousandths |
In the following exercises, name each decimal.
89. 7.8 | 90. 5.01 |
91. 0.005 | 92. 0.381 |
Round Decimals
In the following exercises, round each number to the nearest a) hundredth b) tenth c) whole number.
93. 5.7932 | 94. 3.6284 |
95. 12.4768 | 96. 25.8449 |
Add and Subtract Decimals
In the following exercises, add or subtract.
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Multiply and Divide Decimals
In the following exercises, multiply.
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In the following exercises, divide.
113. 0.15 ÷ 5 | 114. 0.27 ÷ 3 |
115. $8.49 ÷ 12 | 116. $16.99 ÷ 9 |
117. 12 ÷ 0.08 | 118. 5 ÷ 0.04 |
Convert Decimals and Fractions
In the following exercises, write each decimal as a fraction.
119. 0.08 | 120. 0.17 |
121. 0.425 | 122. 0.184 |
123. 1.75 | 124. 0.035 |
In the following exercises, convert each fraction to a decimal.
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Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers
In the following exercises, write as the ratio of two integers.
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In the following exercises, list the a) rational numbers, b) irrational numbers.
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In the following exercises, list the a) whole numbers, b) integers, c) rational numbers, d) irrational numbers, e) real numbers for each set of numbers.
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Locate Fractions on the Number Line
In the following exercises, locate the numbers on a number line.
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In the following exercises, order each of the following pairs of numbers, using < or >.
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Locate Decimals on the Number Line
In the following exercises, locate on the number line.
147. 0.3 | 148. -0.2 |
149. -2.5 | 150. 2.7 |
In the following exercises, order each of the following pairs of numbers, using < or >.
151. 0.9 ___ 0.6 | 152. 0.7 ___ 0.8 |
153. -0.6 ___ -0.59 | 154. -0.27 ___ -0.3 |
Use the Commutative and Associative Properties
In the following exercises, use the Associative Property to simplify.
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In the following exercises, simplify.
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Use the Identity and Inverse Properties of Addition and Multiplication
In the following exercises, find the additive inverse of each number.
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In the following exercises, find the multiplicative inverse of each number.
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Use the Properties of Zero
In the following exercises, simplify.
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In the following exercises, simplify.
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Simplify Expressions Using the Distributive Property
In the following exercises, simplify using the Distributive Property.
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Review Exercise Answers
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85. 8.03 | 87. 0.001 | 89. seven and eight tenths |
91. five thousandths | 93. a) 5.79 b) 5.8 c) 6 | 95. a) 12.48 b) 12.5 c) 12 |
97. 27.73 | 99. −5.53 | 101. −13.5 |
103. 35.8 | 105. 42.51 | 107. 0.12 |
109. 26.7528 | 111. 2.2302 | 113. 0.03 |
115. $0.71 | 117. 150 | 119. ![]() |
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171. 0 | 173. undefined |
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Practice Test
1. Convert 1.85 to a fraction and simplify. | 2. Locate ![]() ![]() |
In the following exercises, simplify each expression.
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Practice Test Answers
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14. 35.75 | 15. 2.2365 |
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20. 0 | 21. undefined |
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