Page 147 - Basic College Mathematics with Early Integers

124 C HAPTE R 2 I INTEGERS AND INTRODUCTION TO VARIABLES

Review

Add. See Section 1.3.

95. 0 + 13 96. 9 + 0 97. 15 + 20

98. 20 + 15 99. 47 + 236 + 77 100. 362 + 37 + 90

Concept Extensions

Write the given numbers in order from least to greatest.
2 3
101. 2 , - ƒ3ƒ, -1-52, - ƒ -8ƒ 102. ƒ10ƒ, 2 , - ƒ -5ƒ, -1-42

4
103. ƒ -1ƒ, - ƒ -6ƒ, -1-62, - ƒ1ƒ 104. 1 , -1-32, - ƒ7ƒ, ƒ -20ƒ

2 3
105. -1-22, 5 , -10, - ƒ -9ƒ, ƒ -12ƒ 106. 3 , - ƒ -11ƒ, -1-102, -4, - ƒ2ƒ

Choose all numbers for x from each given list that make each statement true.

107. ƒxƒ 7 8 108. ƒxƒ 7 4
a. 0 b. -5 c. 8 d. -12 a. 0 b. 4 c. -1 d. -100

109. Evaluate: -1- ƒ -5ƒ2 110. Evaluate: -(- ƒ -1-72ƒ2

Answer true or false for Exercises 111 through 115.

111. If a 7 b, then a must be a positive number. 112. The absolute value of a number is always a positive
number.

113. A positive number is always greater than a 114. Zero is always less than a positive number.
negative number.

115. The number -a is always a negative number. 116. Given the number line ,
(Hint: Read “-” as “the opposite of.”) is it true that b 6 a? a b 10 1

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117. Write in your own words how to find the absolute 118. Explain how to determine which of two signed
value of a signed number. numbers is larger.