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Solution Manual for Business Mathematics, 13th Edition

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    ’ S S OLUTIONS M ANUAL D EANA R ICHMOND B USINESS M ATHEMATICS T HIRTEENTH E DITION Gary Clendenen Siena College Stanley A. Salzman American River College

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    1 CONTENTS Chapter 1 Whole Numbers and Decimals.................................................. 3 Chapter 2 Fractions .................................................................................. 21 Chapter 3 Percents ................................................................................... 39 Chapter 4 Equations and Formulas .......................................................... 61 Chapter 5 Bank Services .......................................................................... 89 Chapter 6 Payroll ..................................................................................... 99 Chapter 7 Mathematics of Buying ......................................................... 115 Chapter 8 Mathematics of Selling ......................................................... 125 Chapter 9 Simple Interest ...................................................................... 139 Chapter 10 Compound Interest and Inflation .......................................... 163 Chapter 11 Annuities, Stocks, and Bonds................................................ 175 Chapter 12 Business and Consumer Loans.............................................. 185 Chapter 13 Taxes and Insurance .............................................................. 203 Chapter 14 Depreciation .......................................................................... 215 Chapter 15 Financial Statements and Ratios ........................................... 233 Chapter 16 Business Statistics ................................................................. 249 Appendix A The Metric System ............................................................... 257 Appendix B Basic Calculators.................................................................. 259 Appendix C Financial Calculators ........................................................... 261 Appendix D Exponents and Order of Operations..................................... 263 Appendix E Graphing Equations.............................................................. 267

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    2

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    3 Chapter 1 Whole Numbers and Decimals 1.1 Whole Numbers 1. 7040 seven thousand, forty 2. 5310 five thousand, three hundred ten 3. 37,901 thirty-seven thousand, nine hundred one 4. 725,069 seven hundred twenty-five thousand, sixty- nine 5. 4,650,015 four million, six hundred fifty thousand, fifteen 6. 3,765,041,000 three billion, seven hundred sixty-five million, forty-one thousand 7. 2065 to the nearest ten is 2070. Draw a line under the tens digit. 2065 Since the digit to the right of that place is 5, increase the tens digit by 1. Change all digits to the right of the tens place to zero. 2065 to the nearest hundred is 2100. Draw a line under the hundreds digit. 2065 Since the digit to the right of that place is 6, increase the hundreds digit by 1. Change all digits to the right of the hundreds place to zero. 2065 to the nearest thousand is 2000. Draw a line under the thousands digit. 2065 Since the digit to the right of that place is 0, do not change the thousands digit. Change all digits to the right of the thousands place to zero. 8. 8385 to the nearest ten is 8390. Draw a line under the tens digit. 8385 Since the digit to the right of that place is 5, increase the tens digit by 1. Change all digits to the right of the tens place to zero. 8385 to the nearest hundred is 8400. Draw a line under the hundreds digit. 8385 Since the digit to the right of that place is 8, increase the hundreds digit by 1. Change all digits to the right of the hundreds place to zero. 8385 to the nearest thousand is 8000. Draw a line under the thousands digit. 8385 Since the digit to the right of that place is 3, do not change the thousands digit. Change all digits to the right of the thousands place to zero. 9. 46,231 to the nearest ten is 46,230. Draw a line under the tens digit. 46,231 Since the digit to the right of that place is 1, do not change the tens digit. Change all digits to the right of the tens place to zero. 46,231 to the nearest hundred is 46,200. Draw a line under the hundreds digit. 46,231 Since the digit to the right of that place is 3, do not change the hundreds digit. Change all digits to the right of the hundreds place to zero. 46,231 to the nearest thousand is 46,000. Draw a line under the thousands digit. 46,231 Since the digit to the right of that place is 2, do not change the thousands digit. Change all digits to the right of the thousands place to zero.

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    Chapter 1 Whole Numbers and Decimals 4 10. 55,175 to the nearest ten is 55,180. Draw a line under the tens digit. 55,175 Since the digit to the right of that place is 5, increase the tens digit by 1. Change all digits to the right of the tens place to zero. 55,175 to the nearest hundred is 55,200. Draw a line under the hundreds digit. 55,175 Since the digit to the right of that place is 7, increase the hundreds digit by 1. Change all digits to the right of the hundreds place to zero. 55,175 to the nearest thousand is 55,000. Draw a line under the thousands digit. 55,175 Since the digit to the right of that place is 1, do not change the thousands digit. Change all digits to the right of the thousands place to zero. 11. 106,054 to the nearest ten is 106,050. Draw a line under the tens digit. 106,054 Since the digit to the right of that place is 4, do not change the tens digit. Change all digits to the right of the tens place to zero. 106,054 to the nearest hundred is 106,100. Draw a line under the hundreds digit. 106,054 Since the digit to the right of that place is 5, increase the hundreds digit by 1. Change all digits to the right of the hundreds place to zero. 106,054 to the nearest thousand is 106,000. Draw a line under the thousands digit. 106,054 Since the digit to the right of that place is 0, do not change the thousands digit. Change all digits to the right of the thousands place to zero. 12. 359,874 to the nearest ten is 359,870. Draw a line under the tens digit. 359,874 Since the digit to the right of that place is 4, do not change the tens digit. Change all digits to the right of the tens place to zero. 359,874 to the nearest hundred is 359,900. Draw a line under the hundreds digit. 359,874 Since the digit to the right of that place is 7, increase the hundreds digit by 1. Change all digits to the right of the hundreds place to zero. 359,874 to the nearest thousand is 360,000. Draw a line under the thousands digit. 359,874 Since the digit to the right of that place is 8, increase the thousands digit by 1. 59 increased by 1 is 60. Change all other digits to the right of the thousands place to zero. 13. Answers will vary. 14. Answers will vary. 15. 75 63 45 27 210 + 16. 57 26 43 18 144 + 17. 875 364 171 776 2186 + 18. 135 594 415 276 1420 +

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    Chapter 1 Whole Numbers and Decimals 5 19. 750 91 8 540 7 1396 + 20. 371 45 839 3 47 1305 + 21. 311, 479 77,631 594,383 983, 493 + 22. 803,526 759,991 36,024 1,599,541 + 23. 896 228 668 - 24. 757 286 471 - 25. 3715 838 2877 - 26. 6215 767 5448 - 27. 65,198 43,652 21,546 - 28. 445,193 62,785 382, 408 - 29. 7,025,389 936, 490 6,088,899 - 30. 9,807,943 959, 489 8,848, 454 - 31. Adding across the rows, we get the following. $49,802 $36,911 $47,851 $54,732 $29,852 $74,119 $293, 267 + $86,154 $72,908 $31,552 $74,944 $85,532 $36,705 $387,795 + $59,854 $85,119 $87,914 $45,812 $56,314 $91,856 $426,869 + $73,951 $72,564 $39,615 $71,099 $72,918 $42,953 $373,100 + $293, 267 $387, 795 $426,869 $373,100 $1, 481, 031 + + + = Adding down the columns, we get the following. $49,802 $86,154 $59,854 $73,951 $269,761 + $36,911 $72,908 $85,119 $72,564 $267,502 + $47,851 $31,552 $87,914 $39,615 $206,932 + $54,732 $74,944 $45,812 $71,099 $246,587 + $29,852 $85,532 $56,314 $72,918 $244, 616 + $74,119 $36,705 $91,856 $42,953 $245,633 + $269,761 $267,502 $206,932 $246,587 $244,616 $245,633 $1, 481,031 + + + + + =

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    Chapter 1 Whole Numbers and Decimals 6 32. Adding across the rows, we get the following. $29,806 $31,712 $40,909 $32,514 $18,902 $23,514 $177,357 + $92,143 $86,599 $97,194 $72,815 $89,500 $63,754 $502,005 + $31,802 $39,515 $58,192 $32,544 $41,920 $48,732 $252,705 + $15,746 $12,986 $32,325 $41,983 $39,814 $20,605 $163, 459 + $177,357 $502,005 $252,705 $163, 459 $1,095,526 + + + = Adding down the columns, we get the following. $29,806 $92,143 $31,802 $15,746 $169, 497 + $31,712 $86,599 $39,515 $12,986 $170,812 + $40,909 $97,194 $58,192 $32,325 $228,620 + $32,514 $72,815 $32,544 $41,983 $179,856 + $18,902 $89,500 $41,920 $39,814 $190,136 + $23,514 $63,754 $48,732 $20,605 $156,605 + $169, 497 $170,812 $228,620 $179,856 $190,136 $156,605 $1,095,526 + + + + + = 33. 218 43 654 872 9374 ´ 34. 672 56 4 032 33 60 37, 632 ´ 35. 1896 62 3 792 113 76 117,552 ´ 36. 7318 38 58 544 219 54 278,084 ´ 37. 6452 263 1 9 356 387 12 12 9 0 4 1, 696,876 ´ 38. 7143 295 35715 64287 1 4286 2,107,185 ´ 39. 1109 7311 1 109 11 09 332 7 7 763 8,107,899 ´ 40. 9503 3411 9 503 95 03 3 801 2 28 509 32, 414,733 ´

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    Chapter 1 Whole Numbers and Decimals 7 41. Estimate Exact 8,000 8,215 60 56 700 729 4, 000 3,605 12, 760 12,605 ¬¾ ¾ ¬¾ ¾ ¬¾ ¾ + ¬¾ ¾ + 42. Estimate Exact 3,000 2,685 70 73 600 592 7,000 7,183 10,670 10,533 ¬¾ ¾ ¬¾ ¾ ¬¾ ¾ + ¬¾ ¾ + 43. Estimate Exact 800 783 200 238 600 545 ¬¾ ¾ - ¬¾ ¾ - 44. Estimate Exact 900 942 300 286 600 656 ¬¾ ¾ - ¬¾ ¾ - 45. Estimate Exact 600 638 50 47 30,000 29,986 ¬¾ ¾ ´ ¬¾ ¾ ´ 46. Estimate Exact 900 864 70 74 63,000 63,936 ¬¾ ¾ ´ ¬¾ ¾ ´ 47. 370 180 ´ 37 18 666 ´ + 2 zeros 66,600 48. 520 400 ´ 52 4 208 ´ + 3 zeros 208,000 49. 3760 6000 ´ 376 6 2256 ´ + 4 zeros 22,560,000 50. 7200 1300 ´ 72 13 936 ´ + 4 zeros 9,360,000 51. 1241 R1 4 4965 4 09 8 16 16 05 4 1 52. 1,887 R5 7 13, 214 7 6 2 56 61 56 54 49 5 53. 458 R21 43 19, 715 17 2 25 1 21 5 365 344 21 54. 875 R77 93 81, 452 74 4 7 05 651 542 465 77 55. Answers will vary. 56. Answers will vary.

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    Chapter 1 Whole Numbers and Decimals 8 57. 180 429,350 2, 385 R5 18 42, 935 36 6 9 5 4 1 53 144 95 90 5 58. 320 360,990 1,128 R3 32 36,099 32 4 0 32 89 64 259 256 3 59. 1300 75,800 58 R4 13 758 65 108 104 4 60. 1600 253,100 158 R3 16 2531 16 93 80 131 128 3 61. 2,240,000 two million, two hundred forty thousand 62. 8,534,350 eight million, five hundred thirty-four thousand, three hundred fifty 63. 3,200,000 three million, two hundred thousand 64. 15,461,800,000,000 fifteen trillion, four hundred sixty-one billion, eight hundred million dollars 65. eight hundred fifty-four thousand, seven hundred ninety-five 854,795 66. two billion 2,000,000,000 67. fifty-five million, five hundred seventy-two thousand, six hundred thirty-three 55,572,633 68. six hundred forty-eight million 648,000,000 69. 5000 40 ´ 5 4 20 ´ + 4 zeros There are 200,000 chips in 40 pounds. 70. 33,000,000 30 ´ 33 3 99 ´ + 7 zeros 990,000,000 Hershey Kisses can be produced in 30 days. 71. 900 400 500 200 2000 2000 4 500 + + + = ¸ = Jim restocks 500 items per hour. 72. 1801 927 2088 580 1049 6445 6445 5 1289 + + + + = ¸ = There is an average of 1289 sold per week. 73. A total of 6 15 10 5 36 + + + = rafts were rented. 6 $70 $420 15 $95 $1425 10 $165 $1650 5 $180 $900 36 $3 $108 ´ = ´ = ´ = ´ = ´ = $420 $1425 $1650 $900 $108 $4503 + + + + = Total receipts were $4503. 74. A total of 38 73 58 46 215 + + + = rafts were rented. 38 $70 $2660 73 $95 $6935 58 $165 $9570 46 $180 $8280 215 $3 $645 ´ = ´ = ´ = ´ = ´ = $2660 $6935 $9570 $8280 $645 $28,090 + + + + = Total receipts were $28,090.

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    Chapter 1 Whole Numbers and Decimals 9 75. 51,062 27,870 24,912 24, 353 128,197 + + + = There were 128,197 thousand or 128,197,000 egg-laying chickens in the top four states. 76. 50,000 30,000 20,000 20,000 20,000 20, 000 160, 000 + + + + + = The total number of egg-laying chickens from all states shown is 160,000 thousand or 160,000,000. 77. 51,062 18,769 32, 293 - = There are 32,293 thousand or 32,293,000 more egg-laying chickens in Iowa than in Texas. 78. ( ) ( ) 51,062 27,870 20, 024 18,769 78, 932 38,793 40,139 + - + = - = There are 40,139 thousand or 40,139,000 more egg-laying chickens in Iowa and Ohio combined compared to California and Texas combined. 79. 6.5 1000 6500 ´ = There are 6500 Family Dollar retail stores. 80. 8 1000 8000 ´ = There are 8000 7-Eleven stores. 81. 8.5 1000 8500 ´ = Dollar General has the largest number of retail stores, with 8500 stores. 82. 5 1000 5000 ´ = Rite-Aid has the fewest retail stores, with 5000 stores. 83. 8.5 1000 8500 Dollar General stores 6 1000 6000 Walgreens stores ´ = ´ = 8500 6000 2500 - = Dollar General has 2500 more retail stores than Walgreens. 84. 7 1000 7000 CVS stores 6 1000 6000 Walgreens stores ´ = ´ = 7000 6000 1000 - = CVS has 1000 more retail stores than Walgreens. 1.2 Application Problems 1. 602 935 1328 757 1586 5208 + + + + = Subway sold 5208 sandwiches. 2. 80 75 135 40 52 382 + + + + = Rob rode 382 miles. 3. 3020 2920 100 - = 100 billion fewer miles were driven. 4. 81,465 70, 449 11,016 - = 11,016 more Ford Explorers were sold. 5. 607 365 221,555 ´ = 221,555 World War II veterans are projected to die in the next 365 days. 6. 16 1,100,000 17,600,000 ´ = There were approximately 17,600,000 World War II veterans. 7. 8375 762 7613 - = 7613 976 8589 + = The weight of the boat is 8589 pounds. 8. ( ) ( ) $195 $180 $205 $85 $62 $92 $580 $239 $341 + + - + + = - = The savings is $341. 9. $499 $435 $64 - = The decrease in price was $64. 10. 21,375 9250 12,125 - = The weight of the firewood is 12,125 pounds. 11. 43,560 140 6, 098, 400 ´ = There are 6,098,400 square feet in 140 acres. 12. 40 million 365 14,600 million ´ = 14,600 million or 14,600,000,000 checks are processed in a year. 13. $225 $75 $150, 7 $150 $1050 - = ´ = The amount saved is $1050. 14. $645 $74 $571; 4 $571 $2284 - = ´ = The amount saved is $2284. 15. 6 $1256 $ 7,536 15 $895 $13, 425 Total $20,961 ´ = ´ = = The total cost is $20,961.

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    Chapter 1 Whole Numbers and Decimals 10 16. 32 $1538 $49, 216 28 $887 $24,836 Total $74,052 ´ = ´ = = The total cost is $74,052. 17. $7588 $838 $6750 − = $6750 was raised. $6750 18 $375 ÷ = Each team received $375. 18. ( ) $60 2 $98 $120 $98 $22 × − = − = The total profit per hour is $22. $22 35 $770 × = Smith’s profit for the week is $770. 19. 30 25 750 × = 1250 750 500 - = There are 500 balcony seats 500 25 20 ¸ = There must be 20 seats in each row. 20. 82 40 5 50 820,000 ´ ´ ´ = There are 820,000 calls per year. 820,000 17,000 48 R4000, which rounds to 49. ¸ = A minimum of 49 call center operators are needed. 1.3 Decimal Numbers 1. .38 thirty-eight hundredths 2. .91 ninety-one hundredths 3. 5.61 five and sixty-one hundredths 4. 6.53 six and fifty-three hundredths 5. 7.408 seven and four hundred eight thousandths 6. 1.254 one and two hundred fifty-four thousandths 7. 37.593 thirty-seven and five hundred ninety-three thousandths 8. 20.903 twenty and nine hundred three thousandths 9. 4.0062 four and sixty-two ten-thousandths 10. 9.0201 nine and two hundred one ten-thousandths 11. Answers will vary. 12. Answers will vary. 13. four hundred thirty-eight and four tenths 438.4 14. six hundred five and seven tenths 605.7 15. ninety-seven and sixty-two hundredths 97.62 16. seventy-one and thirty-three hundredths 71.33 17. one and five hundred seventy-three ten- thousandths 1.0573 18. nine and three hundred eight ten-thousandths 9.0308 19. three and five thousand eight hundred twenty-seven ten-thousandths 3.5827 20. two thousand seventy-four ten-thousandths .2074 21. $11.99 2 $5.995 $6.00 ¸ = » Zagorin pays $6.00. 22. $11.90 4 $2.975 $2.98 ¸ = » Zagorin pays $2.98. 23. $1.75 3 $.58333 $.58 ¸ » » Zagorin pays $.58. 24. $3.94 6 $.65666 $.66 ¸ » » Zagorin pays $.66. 25. $11.98 3 $3.993 $3.99 ¸ » » Zagorin pays $3.99. 26. $37.46 5 $7.492 $7.49 ¸ = » Zagorin pays $7.49.

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    Chapter 1 Whole Numbers and Decimals 11 27. 3.5218 to the nearest tenth is 3.5. Locate the tenths digit and draw a line. 3.5 218 Since the digit to the right of the line is 2, leave the tenths digit alone. 3.5218 to the nearest hundredth is 3.52. Locate the hundredths digit and draw a line. 3.52 18 Since the digit to the right of the line is 1, leave the hundredths digit alone. 3.5218 to the nearest thousandth is 3.522. Locate the hundredths digit and draw a line. 3.512 8 Since the digit to the right of the line is 8, increase the thousandths digit by 1. 28. 4.836 to the nearest tenth is 4.8. Locate the tenths digit and draw a line. 4.8 36 Since the digit to the right of the line is 3, leave the tenths digit alone. 4.836 to the nearest hundredth is 4.84. Locate the hundredths digit and draw a line. 4.83 6 Since the digit to the right of the line is 6, increase the hundredths digit by 1. 4.836 to the nearest thousandth is 4.836. Locate the hundredths digit and draw a line. 4.836 0 Since the digit to the right of the line is 0, leave the thousandths digit alone. 29. 2.54836 to the nearest tenth is 2.5. Locate the tenths digit and draw a line. 2.5 4836 Since the digit to the right of the line is 4, leave the tenths digit alone. 2.54836 to the nearest hundredth is 2.55. Locate the hundredths digit and draw a line. 2.54 836 Since the digit to the right of the line is 8, increase the hundredths digit by 1. 2.54836 to the nearest thousandth is 2.548. Locate the thousandths digit and draw a line. 2.548 36 Since the digit to the right of the line is 3, leave the thousandths digit alone. 30. 7.44652 to the nearest tenth is 7.4. Locate the tenths digit and draw a line. 7.4 4652 Since the digit to the right of the line is 4, leave the tenths digit alone. 7.44652 to the nearest hundredth is 7.45. Locate the hundredths digit and draw a line. 7.44 652 Since the digit to the right of the line is 6, increase the hundredths digit by 1. 7.44652 to the nearest thousandth is 7.447. Locate the thousandths digit and draw a line. 7.446 52 Since the digit to the right of the line is 5, increase the thousandths digit by 1. 31. 27.32451 to the nearest tenth is 27.3. Locate the tenths digit and draw a line. 27.3 2451 Since the digit to the right of the line is 2, leave the tenths digit alone. 27.32451 to the nearest hundredth is 27.32. Locate the hundredths digit and draw a line. 27.32 451 Since the digit to the right of the line is 4, leave the hundredths digit alone. 27.32451 to the nearest thousandth is 27.325. Locate the thousandths digit and draw a line. 27.324 51 Since the digit to the right of the line is 5, increase the thousandths digit by 1. 32. 89.53796 to the nearest tenth is 89.5. Locate the tenths digit and draw a line. 89.5 3796 Since the digit to the right of the line is 3, leave the tenths digit alone. 89.53796 to the nearest hundredth is 89.54. Locate the hundredths digit and draw a line. 89.53 796 Since the digit to the right of the line is 7, increase the hundredths digit by 1. 89.53796 to the nearest thousandth is 89.538. Locate the thousandths digit and draw a line. 89.537 96 Since the digit to the right of the line is 9, increase the thousandths digit by 1.

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    Chapter 1 Whole Numbers and Decimals 12 33. 36.47249 to the nearest tenth is 36.5. Locate the tenths digit and draw a line. 36.4 7249 Since the digit to the right of the line is 7, increase the tenths digit by 1. 36.47249 to the nearest hundredth is 36.47. Locate the hundredths digit and draw a line. 36.47 249 Since the digit to the right of the line is 2, leave the hundredths digit alone. 36.47249 to the nearest thousandth is 36.472. Locate the thousandths digit and draw a line. 36.472 49 Since the digit to the right of the line is 4, leave the thousandths digit alone. 34. 58.95651 to the nearest tenth is 59.0. Locate the tenths digit and draw a line. 58.9 5651 Since the digit to the right of the line is 5, increase the tenths digit by 1. 58.9 increased by .1 is 59.0. 58.95651 to the nearest hundredth is 58.96. Locate the hundredths digit and draw a line. 58.95 651 Since the digit to the right of the line is 6, increase the hundredths digit by 1. 58.95651 to the nearest thousandth is 58.957. Locate the thousandths digit and draw a line. 58.956 51 Since the digit to the right of the line is 5, increase the thousandths digit by 1. 35. .0562 to the nearest tenth is .1. Locate the tenths digit and draw a line. .0 562 Since the digit to the right of the line is 5, increase the tenths digit by 1. .0562 to the nearest hundredth is .06. Locate the hundredths digit and draw a line. .05 62 Since the digit to the right of the line is 6, increase the hundredths digit by 1. .0562 to the nearest thousandth is .056. Locate the thousandths digit and draw a line. .056 2 Since the digit to the right of the line is 2, leave the thousandths digit alone. 36. .0789 to the nearest tenth is .1. Locate the tenths digit and draw a line. .0 789 Since the digit to the right of the line is 7, increase the tenths digit by 1. .0789 to the nearest hundredth is .08. Locate the hundredths digit and draw a line. .07 89 Since the digit to the right of the line is 8, increase the hundredths digit by 1. .0789 to the nearest thousandth is .079. Locate the thousandths digit and draw a line. .078 9 Since the digit to the right of the line is 9, increase the thousandths digit by 1. 37. $5.056 $5.06 » Locate the digit representing the cent and draw a vertical line. $5.05 6 Since the digit to the right of the line is 6, increase the cent digit by 1. 38. $16.519 $16.52 » Locate the digit representing the cent and draw a vertical line. $16.51 9 Since the digit to the right of the line is 9, increase the cent digit by 1. 39. $32.493 $32.49 » Locate the digit representing the cent and draw a vertical line. $32.49 3 Since the digit to the right of the line is 3, leave the cent digit alone. 40. $375.003 $375.00 » Locate the digit representing the cent and draw a vertical line. $375.00 3 Since the digit to the right of the line is 3, leave the cent digit alone. 41. $382.005 $382.01 » Locate the digit representing the cent and draw a vertical line. $382.00 5 Since the digit to the right of the line is 5, increase the cent digit by 1.

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    Chapter 1 Whole Numbers and Decimals 13 42. $12,802.965 $12,802.97 » Locate the digit representing the cent and draw a vertical line. $12,802.96 5 Since the digit to the right of the line is 5, increase the cent digit by 1. 43. $42.137 $42.14 » Locate the digit representing the cent and draw a vertical line. $42.13 7 Since the digit to the right of the line is 7, increase the cent digit by 1. 44. $.846 $.85 » Locate the digit representing the cent and draw a vertical line. $.84 6 Since the digit to the right of the line is 6, increase the cent digit by 1. 45. $.0015 $.00 » Locate the digit representing the cent and draw a vertical line. $.00 15 Since the digit to the right of the line is 1, leave the cent digit alone. 46. $.008 $.01 » Locate the digit representing the cent and draw a vertical line. $.00 8 Since the digit to the right of the line is 8, increase the cent digit by 1. 47. $1.5002 $1.50 » Locate the digit representing the cent and draw a vertical line. $1.50 02 Since the digit to the right of the line is 0, leave the cent digit alone. 48. $7.6009 $7.60 » Locate the digit representing the cent and draw a vertical line. $7.60 09 Since the digit to the right of the line is 0, leave the cent digit alone. 49. $1.995 $2.00 » Locate the digit representing the cent and draw a vertical line. $1.99 5 Since the digit to the right of the line is 5, increase the cent digit by 1. 50. $28.994 $28.99 » Locate the digit representing the cent and draw a vertical line. $28.99 4 Since the digit to the right of the line is 4, leave the cent digit alone. 51. $752.798 $752.80 » Locate the digit representing the cent and draw a vertical line. $752.79 8 Since the digit to the right of the line is 8, increase the cent digit by 1. 52. $8.58 $9 » Locate the digit representing the dollar and draw a vertical line. $8. 58 Since the digit to the right of the line is 5, increase the dollar digit by 1. 53. $26.49 $26 » Locate the digit representing the dollar and draw a vertical line. $26. 49 Since the digit to the right of the line is 4, leave the dollar digit alone. 54. $.57 $1 » Locate the digit representing the dollar and draw a vertical line. $. 57 Since the digit to the right of the line is 5, increase the dollar digit by 1. 55. $.49 $0 » Locate the digit representing the dollar and draw a vertical line. $. 49 Since the digit to the right of the line is 4, leave the dollar digit alone.

  16. Chapter 1 Whole Numbers and Decimals 14 56. $299.76 $300 » Locate the digit representing the dollar and draw a vertical line. $299. 76 Since the digit to the right of the line is 7, increase the dollar digit by 1. $299 increased by 1 is $300. 57. $12,836.38 $12,836 » Locate the digit representing the dollar and draw a vertical line. $12,836. 38 Since the digit to the right of the line is 3, leave the dollar digit alone. 58. $268.72 $269 » Locate the digit representing the dollar and draw a vertical line. $268. 72 Since the digit to the right of the line is 7, increase the dollar digit by 1. 59. $395.18 $395 » Locate the digit representing the dollar and draw a vertical line. $395. 18 Since the digit to the right of the line is 1, leave the dollar digit alone. 60. $666.66 $667 » Locate the digit representing the dollar and draw a vertical line. $666. 66 Since the digit to the right of the line is 6, increase the dollar digit by 1. 61. $4699.62 $4700 » Locate the digit representing the dollar and draw a vertical line. $4699. 62 Since the digit to the right of the line is 6, increase the dollar digit by 1. $4699 increased by 1 is $4700. 62. $11, 285.13 $11, 285 » Locate the digit representing the dollar and draw a vertical line. $11, 285. 13 Since the digit to the right of the line is 1, leave the dollar digit alone. 63. $378.59 $379 » Locate the digit representing the dollar and draw a vertical line. $378. 59 Since the digit to the right of the line is 5, increase the dollar digit by 1. 64. $233.86 $234 » Locate the digit representing the dollar and draw a vertical line. $233. 86 Since the digit to the right of the line is 8, increase the dollar digit by 1. 65. $722.38 $722 » Locate the digit representing the dollar and draw a vertical line. $722. 38 Since the digit to the right of the line is 3, leave the dollar digit alone. 66. $8263.47 $8263 » Locate the digit representing the dollar and draw a vertical line. $8263. 47 Since the digit to the right of the line is 3, leave the dollar digit alone. 67. Answers will vary. 68. Answers will vary. 1.4 Addition and Subtraction of Decimals 1. Estimate Exact 40 43.36 20 15.8 9 9.3 69 68.46 ¬¾ ¾ ¬¾ ¾ + ¬¾ ¾ + 2. Estimate Exact 600 623.15 700 734.29 700 686.26 2000 2043.70 ¬¾ ¾ ¬¾ ¾ + ¬¾ ¾ +

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