12 Chapter 1 Real Numbers and Algebraic Expressions Compare the values of each pair of numbers. Use a <, >, or = symbol to make the statement true. (See Objective 3.) 57. -7 -8 58. -3 -2 59. 2 5 0.4 60. - 7 4 -1.75 61. 13 1.75 62. 111 3 63. -(-2) 2 64. -(4) 4 65. 0 -2 66. -(-6) 0 67. π 3.1 68. 1.4 12 Find the opposite of each real number. (See Objective 4.) 69. 6 70. 14 71. -1 72. -5 73. 1 4 74. - 10 3 75. -5.1 76. 10.5 77. -π 78. 113 79. -1.33 80. 2.2323 Simplify each absolute value expression. (See Objective 5.) 81. u5u 82. u-3.8u 83. u-7.5u 84. u6.7u 85. P 1 3 P 86. -P 5 4 P 87. -P- 9 11 P 88. P- 4 7 P 89. -u7u 90. -u-14u Mix ’Em Up! Classify each real number as a natural number, whole number, integer, rational number, irrational number, and/or real number. If the number is a rational number, write it in fractional form. If the number is irrational, approximate its value to two decimal places. (See Objective 1.) 91. 12.5 92. -17.5 93. - 11 3 94. 11 5 95. $96 billion: the cost of the damage from hurricane Katrina in Louisiana in 2005 96. 4160 mi—the length of the Great Wall of China, the world’s longest man-made structure 97. 6.3 98. -3.47 99. 112 100. -136 101. 1.37%: interest rate for a 12-month certificate of deposit at Ally bank 102. 5.75%: a 30-yr mortgage rate 103. -π 104. 131 105. -1293 ft: elevation of the Dead Sea 106. -86 m: elevation of Death Valley Graph each number on a real number line. (See Objective 2.) 107. e-5.2, -2 1 2 , 1, 16 f 108. e-118, -3 1 3 , 1.5, 2πf 7. All whole numbers are natural numbers. 8. All irrational numbers are real numbers. 9. A decimal that doesn’t terminate is an irrational number. 10. The sum of a number and its additive inverse is 1. Practice Makes Perfect! Classify each number as a natural number, whole number, integer, rational number, irrational number, and /or real number. If the number is a rational number, write it in fractional form. If the number is irrational, approximate its value to two decimal places. (See Objective 1.) 11. -7 12. -15 13. 3 14. 10 15. 2.5 16. 7.3 17. 1 7 8 18. -4 1 7 19. 0.1 20. 2.1 21. 181 22. 149 23. 115 24. 121 25. -π 26. -17 27. 365 days 28. 52 weeks 29. -80°F: the coldest recorded temperature in Prospect Creek Camp, Alaska, on January 23, 1971 30. -28°F: the coldest recorded temperature in Caesars Head, South Carolina, on January 21, 1985 31. 109°F: the hottest recorded temperature in Monticello, Florida, on June 29, 1931 32. 134°F: the hottest recorded temperature in Greenland Ranch, California, on July 10, 1913 Give an example of a real number that satisfi es each condition. (See Objective 1.) 33. A rational number that is not an integer 34. A rational number that is an integer 35. An irrational number between 2 and 3 36. An irrational number between –2 and –1 37. A rational number between –3 and –4 38. A rational number between 4 and 5 39. An integer between 13 and 16 40. An integer between 15 and 110 Graph each number on a real number line. (See Objective 2.) 41. -4 42. -1 43. 1 2 44. 8 3 45. 3.5 46. 1.5 47. -4.5 48. -2.5 49. 1.33 50. 0.2929 51. π 2 52. 2π 53. 18 54. 114 55. 116 56. -125
hendricks_beginning_algebra_1e_ch1_3
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