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Chapter 2: Integers and Introduction to Variables
ISM: Basic College Mathematics with Early Integers
16. |12| − |−8| = 12 − 8 = 4 12 > 8, so the answer is positive. −8 + 12 = 4
44. |−375| − |325| = 375 − 325 = 50 375 > 325, so the answer is negative. 325 + (−375) = −50
18. |−9| − |5| = 9 − 5 = 4 9 > 5, so the answer is negative. 5 + (−9) = −4
46. |−56| + |−33| = 56 + 33 = 89 The common sign is negative, so −56 + (−33) = −89.
20. |−6| + |−1| = 6 + 1 = 7 The common sign is negative, so −6 + (−1) = −7.
48. −1 + 5 + (−8) = 4 + (−8) = −4
22. |−23| + |−23| = 23 + 23 = 46 The common sign is negative, so −23 + (−23) = −46.
52. 18 + (−9) + 5 + (−2) = 9 + 5 + (−2) = 14 + (−2) = 12
24. |−45| + |−90| = 45 + 90 = 135 The common sign is negative, so −45 + (−90) = −135.
54. 34 + (−12) + (−11) + 213 = 22 + (−11) + 213 = 11 + 213 = 224
26. |−500| + |−230| = 500 + 230 = 730 The common sign is negative, so −500 + (−230) = −730.
56. −10 + (−6) + (−1) = −16 + (−1) = −17
28. −10 + 10 = 0
60. 3 + (−23) + 6 = −20 + 6 = −14
30. |24| − |−10| = 24 − 10 = 14 24 > 10, so the answer is positive. 24 + (−10) = 14
62. −100 + 70 = −30
32. |−8| − |2| = 8 − 2 = 6 8 > 2, so the answer is negative. −8 + 2 = −6 34. |−15| − |5| = 15 − 5 = 10 15 > 5, so the answer is negative. −15 + 5 = −10
50. −103 + (−32) + (−27) = −135 + (−27) = −162
58. −35 + (−12) = −47
64. (−45) + 22 + 20 = −23 + 20 = −3 66. −87 + 0 = −87 68. −16 + 6 + (−14) + (−20) = −10 + (−14) + (−20) = −24 + (−20) = −44 70. 94 + (−94) = 0
36. |89| − |−37| = 89 − 37 = 52 89 > 37, so the answer is positive. 89 + (−37) = 52
72. x + y = −1 + (−29) = −30
38. |65| − |−25| = 65 − 25 = 40 65 > 25, so the answer is positive. −25 + 65 = 40
76. 3x + y = 3(13) + (−17) = 39 + (−17) = 22
40. |164| − |−64| = 164 − 64 = 100 164 > 64, so the answer is positive. −64 + 164 = 100 42. |−83| − |42| = 83 − 42 = 41 83 > 42, so the answer is negative. 42 + (−83) = −41
58
74. 3x + y = 3(7) + (−11) = 21 + (−11) = 10
78. The sum of −30 and 10 is −30 + 10 = −20. 80. The sum of −49, −2, and 40 is −49 + (−2) + 40 = −51 + 40 = −11. 82. 0 + (−248) + 6 + (−17) + (−24) + 23 = −248 + 6 + (−17) + (−24) + 23 = −242 + (−17) + (−24) + 23 = −259 + (−24) + 23 = −283 + 23 = −260 The diver’s final depth is 260 feet below the surface.
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Full file at https://testbankuniv.eu/Basic-College-Mathematics-with-Early-Integers-3rd-Edition-Martin-Gay-Solutions-Manual