Section 1.3 Addition of Real Numbers 75 17 132 20 0 9 162 15 0 37. 38. 3 182 1122 8 122 1132 39. 23 40. 23 42 132 45 162 36 132 182 1252 0 41. 6 42. 5 132 172 4 8 13 112 5 2 1202 43. 3 44. 27 5 16 45. 46. 47. 48. 4 3 b 1 16 b 3 4 b 49. 50. 51. 52. 9 102.1 a b 53. 54. 55. 56. 3 2 57. 58. 59. 60. 5 6 21 22 b 61. 62. 63. 1 64. 11 1 3 b 2 4 21 4 a 47.36 24.28 0.015 10.00262 2 3 a 1 9b 2 65. 66. 67. 68. 9 23.08 0.000617 10.00152 0.002117 5315.26 1314.892 5630.15 69. 70. 71. State the rule for adding two numbers with different signs. smaller absolute value from the larger absolute value and apply the sign of the number with the larger absolute value. 72. State the rule for adding two numbers with the same signs. 7 8 7 8 7 6 7 12 3 2 a 1 3b 21 22 0 a 7 8 7 8 0 0.45 8.23 18.232 0 7.5 7.5 0 3 4 10.52 8.3 a 7 3 b 24 10 7 6 7 8 1 20 1 4 3 10 13 9 1 9 a 15 16 7 8 a 1 4 1 2 a 1 6 2 3 a 5 6b 3 16 1 8 3 14 2 7 1 14 23.81 12.512 21.3 9.23 10.53 1.3 9.2 or 46 5 2.4 or 12 5 21 20 or 1.05 1 4 or 0.25 0.0124 To add two numbers with different signs, subtract the To add two numbers with the same sign, add their absolute values and apply the common sign. x 3, y 2, and z 16. For Exercises 73–80, evaluate the expression for 73. x y 1z 1 74. 2z x y 27 75. y 31z 10 76. 1z y 6 77. 78. 79. 80. 0x 0 0y 0 5 z x 0y 0 15 x y 1 x 1y2 z 15 Concept 3: Translations For Exercises 81–90, translate the English phrase into an algebraic expression. Then simplify the result. (See Example 5.) 81. The sum of and 82. The sum of and 5 6 10 6 1102; 16 3 3 5; 2 83. Negative three increased by 8 84. Twenty-one increased by 4 85. Seventeen more than 86. Twenty-four more than 3 8; 5 21 4; 25 21 21 17; 4 7 7 24; 17 14 3114 202; 18 10 216 11022; 8 87. Three times the sum of and 20 88. Two times the sum of 6 and 89. Five more than the sum of 7 and 2 90. Negative six more than the sum of 4 and 1 17 1222 5; 4 14 1122 162; 3 Writing Translating Expression Geometry Scientific Calculator Video
miller_introductory_algebra_3e_ch1_3
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