64 Chapter 1 Whole Numbers For Exercises 15–18, expand the exponential expression as a repeated multiplication. Do not simplify. 15. 84 16. 26 17. 48 18. 62 For Exercises 19–30, evaluate the exponential expressions. (See Example 1.) 19. 20. 21. 22. 23 42 32 52 33 112 53 103 23. 24. 25. 26. 25 63 34 54 27. 28. 29. 30. 31. Evaluate 12, 13, 14, and 15. Explain what happens when 1 is raised to any power. For Exercises 32–35, evaluate the powers of 10. 32. 33. 34. 35. 102 103 104 105 109 36. Explain how to get without performing the repeated multiplication. (See Exercises 32–35.) Concept 2: Square Roots For Exercises 37–44, evaluate the square roots. (See Example 2.) 37. 38. 39. 40. 14 19 136 181 1100 149 10 116 41. 42. 43. 44. Concept 3: Order of Operations 45. Does the order of operations indicate that addition is always performed before subtraction? Explain. 46. Does the order of operations indicate that multiplication is always performed before division? Explain. For Exercises 47–87, simplify using the order of operations. (See Examples 3 and 4.) 47. 48. 49. 50. 6 10 2 4 3 7 10 32 11 22 110 322 111 222 36 2 6 48 4 2 51. 52. 53. 54. 55. 56. 57. 58. 15 15 82 41 113 82 113 22 5 2 18 42 6 8 4 12 3 9 15 125 30 2 19 55 11 5 59. 60. 61. 62. 72 52 33 23 17 522 13 223 63. 64. 65. 66. 67. 68. 69. 20 5111 – 82 70. 38 6110 52 36 22 5 100 5 2 60 3 2 136 64 219 12 116 9 318 32 71. 72. 73. 74. 42 26 42 8 75. 76. 77. 78. 42 32 2 22 14 22 3 80 20 4 6 300 48 8 40 118 52 123 11002 1136 112 131 162 80 192 7 1122 79. 80. 81. 82. 108 133 6 422 83. 22 41125 322 84. 17 317 1922 85. 96 3142 7 6 52 86. 50 2136 12 2 42 87. 16 5120 4 8 32
miller_prealgebra_2e_ch1_3
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