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Solution Manual for Basic College Mathematics, 9th Edition

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    S OLUTIONS M ANUAL B ASIC C OLLEGE M ATHEMATICS N INTH E DITION John Tobey North Shore Community College Jeffrey Slater North Shore Community College Jamie Blair Orange Coast College Jennifer Crawford Normandale Community College Anne Fischer Tulsa Community College

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    Contents Chapter 1 1 Chapter 2 30 Chapter 3 60 Chapter 4 91 Chapter 5 110 Chapter 6 132 Chapter 7 146 Chapter 8 171 Chapter 9 184 Chapter 10 197 Practice Final Examination 219

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    1 Chapter 1 1.1 Exercises 2. 7834 = 7000 + 800 + 30 + 4 4. 304,276 = 300,000 + 4000 + 200 + 70 + 6 6. 59,236,781 = 50,000,000 + 9,000,000 + 200,000 + 30,000 + 6000 + 700 + 80 + 1 8. 820,310,574 = 800,000,000 + 20,000,000 + 300,000 + 10,000 + 500 + 70 + 4 10. 500 + 90 + 6 = 596 12. 7000 + 600 + 50 + 2 = 7652 14. 60,000 + 7000 + 200 + 4 = 67,204 16. 300,000 + 40,000 + 800 = 340,800 18. a. The digit 0 tells the number of ten thousands. b. The value of the digit 8 is 800,000. 20. a. The digit 9 tells the number of thousands. b. The value of the digit 9 is 9000. 22. 376 = three hundred seventy-six 24. 7606 = seven thousand, six hundred six 26. 55,742 = fifty-five thousand, seven hundred forty-two 28. 370,258 = three hundred seventy thousand, two hundred fifty-eight 30. 68,089,213 = sixty-eight million, eighty-nine thousand, two hundred thirteen 32. 7,436,210,400 = seven billion, four hundred thirty-six million, two hundred ten thousand, four hundred 34. 3189 36. 203,374 38. 450,300,249 40. The word name should be one thousand, seven hundred forty-nine. 42. The estimated population of Florida in 1970 was 7 million or 7,000,000. 44. The estimated population of Illinois in 1940 was 8 million or 8,000,000. 46. In 2017, 29,786 thousand or 29,786,000 passengers flew from Denver. 48. In 2014, 34,283 thousand or 34,283,000 passengers flew from Los Angeles. 50. a. The digit 3 tells the number of ten millions. b. The digit 4 tells the number of hundred thousands. 52. a. The digit 6 tells the number of hundred thousands. b. The digit 7 tells the number of ten millions. 54. 836,047,927,316 56. 6 E 22 represents 60,000,000,000,000,000,000,000. 58. There are 195 such numbers. Classroom Quiz 1.1 1. 41,127 = 40,000 + 1000 + 100 + 20 + 7 2. five million, three hundred twenty-seven thousand, eight hundred ninety-six 3. 422,985 1.2 Exercises 2. When zero is added to any number, the sum is identical to that number.

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 2 4. + 1 6 5 3 0 9 4 7 2 8 3 4 9 8 6 3 12 7 10 5 11 9 10 15 14 12 9 18 13 16 11 17 4 5 10 9 7 4 13 8 11 6 12 0 1 6 5 3 0 9 4 7 2 8 2 3 8 7 5 2 11 6 9 4 10 7 8 13 12 10 7 16 11 14 9 15 8 9 14 13 11 8 17 12 15 10 16 1 2 7 6 4 1 10 5 8 3 9 6 7 12 11 9 6 15 10 13 8 14 5 6 11 10 8 5 14 9 12 7 13 6. 9 5 7 2 23  8. 2 3 5 9 8 27  10. 86 17 4 107  12. 54 21 23 98  14. 5773 425 67 6265  16. 5017 2984 1328 9329 

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 3 18. 6753 3265 10, 018  20. 83,596 56,384 139,980  22. 24 39 16 14 9 102  9 14 16 39 24 102  24. 426 39 6 52 802 1325  802 52 6 39 426 1325  26. 582 1674 336 8458 11, 050  28. 4, 002,983 2,134, 702 3,592, 001 9, 729, 686  30. 982,306, 000 583, 215,320 1,565,521,320  32. 32,500 763, 420 2,837, 667 3, 633,587  34. 120 + 35 + 360 + 75 = 590 36. 40 + 320 + 66 + 39 + 80 = 545 38. 595 348 76 1019  Lexi spent $1019 on school supplies. 40. 2025 2650 1960 6635  Paul earned $6635 last summer. 42. 827 405 631 472 2335  2335 feet of fencing are needed. 44. 145,850 115,860 104, 454 366,164  The total area is 366,164 square miles. 46. 81, 000 67,900 74, 700 223, 600  The total area of these three lakes is 223,600 square miles. 48. a. 14,311 11, 077 12,580 37,968 motorcycles passed inspection  b. 37,968 56 158 97 38, 279 motorcycles were assembled.  50. 21 17 87 125  She drove 125 miles. 52. Two sides are 930 feet and two sides are 798 feet. 930 930 798 798 3456 

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 4 The length of fencing to enclose the field is 3456 feet. 54. 2,368,521,788 + 5,721,368,701 + 4,027,399,206 = 12,117,289,695 56. Answers may vary. A sample is: You could not add the addends in reverse order to check the addition. Cumulative Review 58. 76,208,941 = seventy-six million, two hundred eight thousand, nine hundred forty-one 59. 121,000,374 = one hundred twenty-one million, three hundred seventy-four 60. eight million, seven hundred twenty-four thousand, three hundred ninety-six = 8,724,396 61. nine million, fifty-one thousand, seven hundred nineteen = 9,051,719 62. twenty-eight million, three hundred eighty-seven thousand, eighteen = 28,387,018 Classroom Quiz 1.2 1. 37 22 86 13 8 166  2. 982 531 207 1720  3. 721, 605 3, 286 19,125 200, 290 944,306  1.3 Exercises 2. Since there are not enough ones to subtract 8 ones from 7 ones, we borrow. This means we change the 1 hundred to an equivalent 10 tens. From the 10 tens we borrow one, making it 9 tens and 10 ones. Now we have 7 ones and 10 ones or 17 ones. 17 ones subtract 8 ones is 9 ones and 9 tens subtract 8 tens is 1 ten. Thus, 107  88 = 19. 4. In subtraction, we can subtract only numbers representing the same units. Thus, we need to change 7 feet to a number that measures inches. Since 1 foot equals 12 inches, 7 feet equals 84 inches. Now we subtract: 84 inches  11 inches = 73 inches. 6. 16 7 9  8. 15 8 7  10. 14 6 8  12. 12 7 5  14. 15 8 7  16. 16 9 7  18. 10 7 3  20. 12 5 7  22. 96 51 45  Check: 51 45 96 

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 5 24. 77 36 41  Check: 36 41 77  26. 189 65 124  Check: 65 124 189  28. 659 247 412  Check: 247 412 659  30. 5780 530 5250  Check: 530 5250 5780  32. 243,951 12, 400 231,551  Check: 12, 400 231,551 243,951  34. 807,965 304, 214 503, 751  Check: 304, 214 503, 751 807,965  36. 45 141 186  Correct 38. 7254 2702 9956  Correct 40. 3 200 7 670 10,870  Incorrect 7890 3200 4690  42. 41,181 58, 402 99,583  Correct 44. 86 33 53  46. 136 95 41  48. 706 435 271  50. 8261 3745 4516  52. 50, 000 7 338 42, 662  54. 361, 000 121,520 239, 480  56. 64,381 29,997 34,384  58. 3,554,830 1, 710,913 1,843,917 

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 6 60. 35 50 15 35 50 15 x x      62. 25 18 25 7 18 7 x x      64. 140 200 140 60 200 60 x x      66. 6, 784, 444 4,143,874 2, 640,570  Trump received 2,640,570 votes. 68. 22, 070, 400 19, 018,560 3, 051,840  The Nile river is 3,051,840 feet longer. 70. Total received = $3450 Total used = $375 + $2300 = $2675 Down payment = $3450  $2675 = $775 72. 10, 428, 683 8,881,826 1,546,857  1,546,857 people is the population increase. 74. Illinois = 12,051,683 Indiana Minnesota 6, 045,521 4,830, 784 10,876,305     Difference 12, 057, 683 10,876,305 1,175,378 people    76. 9, 295, 297 8,881,826 413, 471  413,471 people is the population increase. 78. Highest Lowest 12, 639,355 5, 701,317 6,938, 038 people     80. 59 48 11  The increase in the number of homes sold in Irving from 2018 to 2019 was 11 homes. 82. 190 157 33  The decrease in the number of homes sold in Harvey from 2017 to 2018 was 33 homes. 84. 279 261 18  298 279 19  The greatest change in the number of homes sold in Manchester occurred between 2018 and 2019. 86. Winchester: 132 Willow Creek: 150 Essex: 72 Manchester: 261 Irving: 47 Harvey: 190 He should select Winchester and Willow Creek. 88. It is true for all a and b if c = 0. For example: 5 (3 0) (5 3) 0 5 3 2 0 2 2          90. 300 228 72  Convert 72 feet to the number of 12-foot sections. Now, 17 6 12  and each section costs $80 + $40 = $120. $120 6 $720 

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 7 Cumulative Review 91. eight million, four hundred sixty-six thousand, eighty-four = 8,466,084 92. 296,308 = two hundred ninety-six thousand, three hundred eight 93. 25 + 75 + 80 + 20 + 18 = 218 94. 278,563 896,187 1,174, 750  Classroom Quiz 1.3 1. 7631 892 6739  2. 706,350 287,809 418,541  3. 26,300,500 18, 279,156 8, 021,344  1.4 Exercises 2. You can write 13 as 10 + 3 and distribute 4 over the addition. 4  (10 + 3) = (4  10) + (4  3) 4.  2 7 0 5 3 4 8 12 6 9 1 2 7 0 5 3 4 8 12 6 9 6 12 42 0 30 18 24 48 72 36 54 5 10 35 0 25 15 20 40 60 30 45 3 6 21 0 15 9 12 24 36 18 27 0 0 0 0 0 0 0 0 0 0 0 9 18 63 0 45 27 36 72 108 54 81 4 8 28 0 20 12 16 32 48 24 36 7 14 49 0 35 21 28 56 84 42 63 2 4 14 0 10 6 8 16 24 12 18 8 16 56 0 40 24 32 64 96 48 72

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 8 6. 42 4 168  8. 48 6 288  10. 98 8 784  12. 313 3 939  14. 538 8 4304  16. 5203 2 10, 406  18. 31, 206 3 93, 618  20. 3 215 6 19, 290  22. 48, 761 7 341,327  24. 257, 021 9 2,313,189  26. 278 10 2780  28. 89,361 100 8,936,100  30. 579 1000 579, 000  32. 614, 260 10, 000 6,142, 600, 000  34. 332 30 9960  36. 4230 20 84, 600  38. 62, 000 3000 186, 000, 000  40. 432 13 1296 432 5616  42. 163 35 815 489 5705  44. 68 49 612 272 3332  46. 780 24 3 120 15 60 18, 720  48. 652 92 1 304 5 868 59,984 

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 9 50. 498 39 4 482 14 94 19, 422  52. 1268 38 10 144 38 04 48,184  54. 3078 72 6 156 215 46 221, 616  56. 5738 376 34 428 401 66 1 721 4 2,157, 488  58. 739 614 2 956 7 39 443 4 453, 746  60. 5092 302 10 184 00 00 1 527 6 1,537, 784  62. 2074 1003 6 222 2 074 2, 080, 222  64. 15, 200 30 456, 000  66. 302 30 9060  68. 3000 302 906, 000  70. 8  3  2 = 24  2 = 48 72. 16  5  6 = 80  6 = 480 74. 526 21 526 10 52 11, 046  76. 4  5  5  15 = 20  75 = 1500 78. x = 0 80. 144 71 144 1008 10, 224  The area is 10,224 square millimeters. 82. 4  5 = 20 12  8 = 96 20 + 96 = 116 The surveillance area is 116 square miles. 84. 345 8 2760  The total amount of the purchase is $2760. 86. 276 8 2208  The cost for the car rental is $2208. 88. 48 12 96 48 576  576 miles is the distance she can travel.

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 10 90. 125 24 500 250 3000  Jorge contributes $3000 to his IRA in one year. 92. 59, 200, 000 65, 000 3,848, 000, 000, 000  The approximate total yearly income is $3,848,000,000,000. 94. 18 2 36  26 4 104  54 1 54  36 104 54 194  There are 194 white paws in the room. 96. 18 0 0  26 1 26  54 2 108  0 26 108 134  There are 134 white ears in the room. 98. 7( ) 56 7(8) 56 8 x x    100. 63 9( ) 63 9(7) 7 x x    102. Yes 5  (8  3) = 5  8  5  3 a  ( b  c ) = a  b  a  c Cumulative Review 103. 34, 084 27,328 6, 756  104. 263 27 891 5 63 1249  105. 1278  (345 + 128) = 1278  473 = 805 There is $805 left in his checking account. 106. 1932 1772 160  The increase was $160. 107. 45,918 42, 667 3 251  The population increased by 3251 people. 108. 1, 474,120, 000, 000 1,358, 000, 000, 000 116,120, 000, 000  The increase was $116,120,000,000. Classroom Quiz 1.4 1. 26,523 8 212,184  2. 83 57 581 415 4731  3. 782 345 3 910 31 28 234 6 269, 790  1.5 Exercises 2. 7 5 35 4. 7 9 63 6. 5 8 40 8. 7 7 49 10. 7 6 42

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 11 12. 9 9 81 14. 9 6 54 16. 7 4 28 18. 8 8 64 20. 8 9 72 22. 8 1 8 24. 0 7 0 26. 12  0 undefined 28. 0 0 7  30. 5  5 = 1 32. 5 R 2 8 42 40 2 Check: 5 8 40 2 42   34. 8 R 3 9 75 72 3 Check: 8 9 72 3 75   36. 41 3 4 167 16 07 04 3 R Check: 41 4 164 3 167   38. 31 1 8 249 24 09 08 1 R Check: 31 8 248 1 249   40. 42 7 294 28 14 14 0 Check: 42 7 294  42. 281 1 8 2249 16 64 64 09 08 1 R

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    Chapter 1: Whole Numbers ISM: Basic College Mathematics 12 44. 2528 2 3 7586 6 15 15 08 06 26 24 2 R 46. 576 4 7 4036 35 53 49 46 42 4 R 48. 713 9 6417 63 11 9 27 27 0 50. 6 27 43 285 258 27 R 52. 7 15 26 197 182 15 R 54. 2856 14 17 48566 34 145 136 96 85 116 102 14 R 56. 803 23 36 28931 288 13 00 131 108 23 R 58. 24 19 139 3355 278 575 556 19 R 60. 43 129 5547 516 387 387 0 62. 523 R 11 13 6810 65 31 26 50 39 11 64. 20 R 36 60 1236 120 36 0 36 66. 768 8 6144 56 54 48 64 64 0

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    ISM: Basic College Mathematics Chapter 1: Whole Numbers 13 68. 110 R 7 32 3527 32 32 32 7 0 7 70. 104 R 6 19 1982 19 82 76 6 72. 7 128 896 896 0 74. 134 235 31, 490 23 5 7 99 7 05 940 940 0 76. 12 131 1572 131 262 262 0 x = 12 78. 1460 25 36,500 25 11 5 10 0 1 50 1 50 0 Each horse eats 1460 pounds. 80. 120, 000 70 8, 400, 000 7 0 1 40 1 40 0 Each snowplow cost $120,000. 82. 46,179 8 369, 432 32 49 48 14 8 63 56 72 72 0 Each person paid $46,179. 84. 186 70 13, 020 7 0 6 02 5 60 420 420 0 Each bookcase cost $186. 86. 78 34 2652 238 272 272 0 The length of the lawn is 78 feet. 88. 82 43 3526 344 86 86 0 The length of the panel is 82 centimeters.

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