116 Chapter 1 The Set of Real Numbers 55. 1.2 56. 4.25 7 8.2 1.05 3.2 16.1 15.92 7.09 152 57. 10.2 58. 12.09 11 1 7 13 a b b 2 63 2059. 60. 4 5 7 10 a 61. 62. Under what conditions will the expression be negative? If a b For Exercises 63–67, write an algebraic expression and simplify. 63. 18 subtracted from 7 64. The difference of and 41 65. Seven decreased by 13 66. Five subtracted from the difference of 20 and 67. The sum of 6 and 12, decreased by 21 68. In Nevada, the highest temperature ever 125°F 50°F. recorded was and the lowest was Find the difference between the highest and lowest temperatures. (Source: Information Please Almanac) Section 1.5 For Exercises 69–86, multiply or divide as indicated. 69. 101172 170 70. 17213 91 71. 2 72. 1522 26 1482 1162 3 1 12 b 6 117 4 a 21 2 b 73. 74. 21 5 75. 76. 8 11 Undefined 2 3 a 3 4 0 0 0 0 1142 0 10.452152 2.25 77. 78. 21 14 79. 80. 13 52 81. 152122132 30 82. 1621521152 450 7 6 a b 6 14 112 10 1212 5 1 1 6ba13 14a b 83. 84. 85. 2 86. For Exercises 87–92, perform the indicated operations. 87. 9 43214 82 513 124 17 88. 6 89. 5 33 1422 4 36 122132 5.4 10.322 0.09 90. 91. 92. For Exercises 93–96, evaluate each expression given the values x 4 and y 9. 93. 31x 22 y 2 94. 1x y 11 95. xy 36 96. 3x 2y 6 97. In statistics, the formula x m zs is used to find cutoff values for data that follow a bellshaped curve. Find xif ,and . For Exercises 98–104, answer true or false. If a statement is false, explain why. 98. If n is positive, then is negative. 99. If m is negative, then is negative. n True m4 100. If m is negative, then is negative. m 7 0 n 7 0, mn 7 0 True 101. If and then . p 6 0 q 6 0, pq 6 0 102. If and then . 103. A number and its reciprocal have the same signs. 104. A nonzero number and its opposite have different signs. True m3 True s 15 70.6 m 100, z 1.96 08 5 0 152 32 2 3 a3 8 5 6b 5 3 8132 6 7 122 18 7 10 11 7 11 5 9 40 4 152 a12 13ba 1 2ba7 8ba 4 7b 10 3 17 20 7 1182; 11 6 41; 47 7 13; 6 120 1722 5; 22 16 11222 21; 27 175°F 7 120 1 3 1 3 2 1 4 False, any nonzero real number raised to an even power is positive. False, the product of two negative numbers is positive. True 1 4 1 7 4.4 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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