Page 776 - Basic College Mathematics with Early Integers

A8 ANSWERS TO SELECTED EXERCISES

Section 4.4

Calculator Explorations 1. not reasonable 3. reasonable
Vocabulary and Readiness Check 1. quotient; divisor; dividend 3. left; zeros 5. 5.9 7. 0 9. 1 11. undefined
Answers to Selected Exercises
6
Exercise Set 4.4 1. 4.6 3. 0.094 5. 300 7. 2.6 9. Exact: 6.6; Estimate: 636 11. 0.413 13. -600 15. 7 17. 4.8 19. 2100 21. 5.8 23. 5.5
10
25. Exact: 9.8; Estimate: 770 27. 9.6 29. 45 31. 54.592 33. 0.0055 35. 179 37. 23.87 39. 114.0 41. 0.54982 43. 2.687 45. -0.0129
47. 12.6 49. 1.31 51. 0.045625 53. 0.413 55. -8 57. -7.2 59. 1400 61. 30 63. -58,000 65. -0.69 67. 0.024 69. 65 71. -5.65
9 1
73. -7.0625 75. 11 qt 77. 5.1 m 79. 11.4 boxes 81. 24 tsp 83. 8 days 85. 248.1 mi 87. 345.5 thousand books 89. 91. 93. 4.26
10 20
95. 1.578 97. -26.66 99. 904.29 101. c 103. b 105. 85.5 107. 8.6 ft 109. answers may vary 111. 65.2-82.6 knots 113. 319.64 m
Integrated Review 1. 2.57 2. 4.05 3. 8.9 4. 3.5 5. 0.16 6. 0.24 7. 0.27 8. 0.52 9. -4.8 10. 6.09 11. 75.56 12. 289.12 13. -24.974
14. -43.875 15. -8.6 16. 5.4 17. -280 18. 1600 19. 224.938 20. 145.079 21. 0.56 22. -0.63 23. 27.6092 24. 145.6312
25. 5.4 26. -17.74 27. -414.44 28. -1295.03 29. -34 30. -28 31. 116.81 32. 18.79 33. 156.2 34. 1.562 35. 25.62 36. 5.62
37. 200 mi 38. $0.69 39. $23.5 billion, or $23,500,000,000
Section 4.5
Vocabulary and Readiness Check 1. false 3. false
Exercise Set 4.5 1. 0.2 3. 0.68 5. 0.75 7. -0.08 9. 2.25 11. 0.916 13. 0.425 15. 0.45 17. -0.3 19. 0.4375 21. 0.63 23. 5.85
25. 0.624 27. -0.33 29. 0.44 31. 0.6 33. 0.62 35. 0.73 37. 0.02 39. 6 41. = 43. 6 45. 6 47. 6 49. 7 51. 6 53. 6
42 5
55. 0.32, 0.34, 0.35 57. 0.49, 0.491, 0.498 59. 5.23, , 5.34 61. 0.612, , 0.649 63. 0.59 65. -3 67. 5.29 69. 9.24 71. 0.2025 73. -1.29
8 8
5
75. -15.4 77. -3.7 79. 25.65 sq in. 81. 0.248 sq yd 83. 5.76 85. 5.7 87. 3.6 89. 72 91. 2 93. = 1 95. 7 1 97. 6 1 99. 0.014
101. 5200 stations 103. answers may vary
Section 4.6
Calculator Explorations 1. 32 3. 5.568 5. 9.849
leg hypotenuse
Vocabulary and Readiness Check 1. 10 3. squaring 5.
leg
1 4 1 7
Exercise Set 4.6 1. 2 3. 11 5. 7. = 9. 1.732 11. 3.873 13. 6.856 15. 5.099 17. 6, 7 19. 10, 11 21. 16 23. 9.592 25.
9 8 2 12
27. 8.426 29. 13 in. 31. 6.633 cm 33. 52.802 m 35. 117 mm 37. 5 39. 12 41. 17.205 43. 44.822 45. 42.426 47. 1.732 49. 8.5
5 2 5
51. 141.42 yd 53. 25.0 ft 55. 340 ft 57. 59. 61. 63. 6 65. 10 67. answers may vary 69. yes 71. A 280 - 6B in. L 2.94 in.
6 5 12
Chapter 4 Vocabulary Check 1. decimal 2. numerator; denominator 3. vertically 4. and 5. sum 6. square root 7. right triangle;
hypotenuse; legs 8. standard form
Chapter 4 Review 1. tenths 2. hundred-thousandths 3. negative twenty-three and forty-five hundredths 4. three hundred forty-five
hundred-thousandths 5. one hundred nine and twenty-three hundredths 6. two hundred and thirty-two millionths 7. 2.07 8. -503.102
4 11 23 1
9. 16,025.0014 10. 14.011 11. 12. 13. -12 14. 25 15. 7 16. = 17. 6 18. 7 19. 0.6 20. 0.94 21. -42.90
25 20 1000 4
22. 16.349 23. 887,000,000 24. 600,000 25. 9.5 26. 5.1 27. -7.28 28. -12.04 29. 320.312 30. 148.74236 31. 1.7 32. 2.49
33. -1324.5 34. -10.136 35. 65.02 36. 199.99802 37. 52.6 mi 38. -5.7 39. 22.2 in. 40. 38.9 ft 41. 72 42. 9345 43. -78.246
44. 73,246.446 45. 14p m L 43.96 m 46. 20p in. L 62.8 in. 47. 0.0877 48. 15.825 49. 70 50. -0.21 51. 8.059 52. 30.4 53. 0.02365
54. -9.3 55. 7.3 m 56. 45 months 57. 0.8 58. -0.923 59. 2.3 or 2.333 60. 0.216 or 0.217 61. = 62. 6 63. 6 64. 6
5 3 19 18
65. 0.832, 0.837, 0.839 66. , 0.626, 0.685 67. 0.42, , 0.43 68. , 1.63, 69. -11.94 70. 3.89 71. 7.26 72. 0.81 73. 55 74. -129
8 7 12 11
2 1
75. 6.9 sq ft 76. 5.46 sq in. 77. 8 78. 12 79. 80. 81. 13 82. 29 83. 10.7 84. 93 85. 127.3 ft 86. 88.2 ft 87. two hundred and
5 10
231 6 8
thirty-two ten-thousandths 88. -16,025.014 89. 90. 0.75, , 91. -0.07 92. 0.1125 93. 7 94. 6 95. 42.90 96. 16.349
100,000 7 9
97. $123.00 98. $3646.00 99. -1.7 100. 2.49 101. 80.668 102. -148.74236 103. 8.128 104. -7.245 105. 4900 106. 23.904
4 1
107. 9600 sq ft 108. yes 109. 0.1024 110. 3.6 111. 1 112. 6 113. 114. 115. 86.6 116. 20.8 117. 48.1 118. 19.7
9 11
Chapter 4 Test 1. forty-five and ninety-two thousandths 2. 3000.059 3. 17.595 4. -51.2 5. -20.42 6. 40.902 7. 0.037 8. 34.9
69 73 4
9. 0.862 10. 6 11. 6 12. 13. -24 14. -0.5 15. 0.941 16. 1.93 17. -6.2 18. 11.4 19. 7 20. 12.530 21.
200 100 5
22. 4,583,000,000 23. 2.31 sq mi 24. 18p mi L 56.52 mi 25. a. 9904 sq ft b. 198.08 oz 26. 54 mi Copyright 2012 Pearson Education, Inc.
Cumulative Review 1. eighty-five; Sec. 1.2, Ex. 4 2. one hundred seven; Sec. 1.2 3. one hundred twenty-six; Sec. 1.2, Ex. 5 4. five thousand,
twenty-six; Sec. 1.2 5. 159; Sec. 1.3, Ex. 1 6. 19 in.; Sec. 1.3 7. 514; Sec. 1.4, Ex. 3 8. 121 R 1; Sec. 1.7 9. 278,000; Sec. 1.5, Ex. 2
10. 1, 2, 3, 5, 6, 10, 15, 30; Sec. 3.2 11. 20,296; Sec. 1.6, Ex. 4 12. 0; Sec. 1.6 13. a. 7 b. 12 c. 1 d. 1 e. 20 f. 1; Sec. 1.7, Ex. 2