Solution Manual for Basic College Mathematics, 8th Edition

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SOLUTIONSMANUALBASICCOLLEGEMATHEMATICSEIGHTHEDITIONJohn TobeyNorth Shore Community CollegeDanvers, MassachusettsJeffrey SlaterNorth Shore Community CollegeDanvers, MassachusettsJamie BlairOrange Coast CollegeCosta Mesa, CaliforniaJennifer CrawfordNormandale Community CollegeBloomington, Minnesota

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ContentsChapter 11Chapter 230Chapter 359Chapter 490Chapter 5109Chapter 6131Chapter 7145Chapter 8170Chapter 9183Chapter 10196Practice Final Examination218

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1Chapter 11.1 Exercises2.7834 = 7000 + 800 + 30 + 44.304,276 = 300,000 + 4000 + 200 + 70 + 66.59,236,781= 50,000,000 + 9,000,000 + 200,000 + 30,000+ 6000 + 700 + 80 + 18.820,310,574= 800,000,000 + 20,000,000 + 300,000 + 10,000+ 500 + 70 + 410.500 + 90 + 6 = 59612.7000 + 600 + 50 + 2 = 765214.60,000 + 7000 + 200 + 4 = 67,20416.300,000 + 40,000 + 800 = 340,80018.a.The digit 0 tells the number of tenthousands.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-six24.7606 = seven thousand, six hundred six26.55,742 = fifty-five thousand, seven hundredforty-two28.370,258 = three hundred seventy thousand, twohundred fifty-eight30.68,089,213 = sixty-eight million, eighty-ninethousand, two hundred thirteen32.7,436,210,400 = seven billion, four hundredthirty-six million, two hundred ten thousand,four hundred34.318936.203,37438.450,300,24940.The word name should be one thousand, sevenhundred forty-nine.42.The estimated population of Florida in 1970 was7 million or 7,000,000.44.The estimated population of Illinois in 1940 was8 million or 8,000,000.46.In 2014, 25,978 thousand or25,978,000 passengers flew from Denver.48.In 2011, 30,505 thousand or 30,505,000passengers flew from Los Angeles.50.a.The digit 3 tells the number of ten millions.b.The digit 4 tells the number of hundredthousands.52.a.The digit 7 tells the number of hundredthousands.b.The digit 9 tells the number of ten millions.54.836,047,927,31656.6 E 22 represents60,000,000,000,000,000,000,000.58.There are 195 such numbers.Classroom Quiz 1.11.41,127 = 40,000 + 1000 + 100 + 20 + 72.five million, three hundred twenty-seventhousand, eight hundred ninety-six3.422,9851.2 Exercises2.When zero is added to any number, the sum isidentical to that number.

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Chapter 1:Whole NumbersBasic College Mathematics24.+1653094728349863127105119101514129181316111745109741381161201653094728238752116941078131210716111491589141311817121510161276411058396712119615101381456111085149127136.957223+8.2359827+10.86174107+12.54212398+

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Basic College MathematicsChapter 1:Whole Numbers314.5773425676265+16.5017298413289329+18.6753326510, 018+20.83,59656,384139,980+22.243916149102+914163924102+24.426396528021325+802526394261325+26.5821674336845811, 050+28.4, 002,9832,134, 7023,592, 0019, 729, 686+30.982,306, 000583, 215,3201,565,521,320+32.32,500763, 4202,837, 6673,633,587+34.120 + 35 + 360 + 75 = 59036.40 + 320 + 66 + 39 + 80 = 54538.595348761019+Lexi spent $1019 on school supplies.40.2025265019606635+Paul earned $6635 last summer.42.8274056314722335+2335 feet of fencing are needed.44.145,850115,860104, 454366,164+The total area is 366,164 square miles.46.81, 00067,90074, 700223, 600+The total area of these three lakes is223,600 square miles.48.a.14,31111, 07712,58037,968 motorcycles passed inspection+b.37,968561589738, 279 motorcycles were assembled.+

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Chapter 1:Whole NumbersBasic College Mathematics450.211787125+She drove 125 miles.52.Two sides are 930 feet and two sides are798 feet.9309307987983456+The length of fencing to enclose the field is3456 feet.54.2,368,521,788 + 5,721,368,701 + 4,027,399,206= 12,117,289,69556.Answers may vary. A sample is: You could notadd the addends in reverse order to check theaddition.Cumulative Review58.76,208,941 = seventy-six million, two hundredeight thousand, nine hundred forty-one59.121,000,374 = one hundred twenty-one million,three hundred seventy-four60.eight million, seven hundred twenty-fourthousand, three hundred ninety-six = 8,724,39661.nine million, fifty-one thousand, seven hundrednineteen = 9,051,71962.twenty-eight million, three hundred eighty-seventhousand, eighteen = 28,387,018Classroom Quiz 1.21.372286138166+2.9825312071720+3.721, 6053, 28619,125200, 290944,306+1.3 Exercises2.Since there are not enough ones to subtract8 ones from 7 ones, we borrow. This means wechange the 1 hundred to an equivalent 10 tens.From the 10 tens we borrow one, making it9 tens and 10 ones. Now we have 7 ones and10 ones or 17 ones. 17 ones subtract 8 ones is9 ones and 9 tens subtract 8 tens is 1 ten. Thus,107−88 = 19.4.In subtraction, we can subtract only numbersrepresenting the same units. Thus, we need tochange 7 feet to a number that measures inches.Since 1 foot equals 12 inches, 7 feet equals84 inches. Now we subtract:84 inches−11 inches = 73 inches.6.1679−8.1587−10.1468−12.1275−14.1587−16.1697−18.1073−

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Basic College MathematicsChapter 1:Whole Numbers520.1257−22.965145−Check:514596+24.773641−Check:364177+26.18965124−Check:65124189+28.659247412−Check:247412659+30.57805305250−Check:53052505780+32.243,95112, 400231,551−Check:12, 400231,551243,951+34.807,965304, 214503, 751−Check:304, 214503, 751807,965+36.45141186+Correct38.725427029956+Correct40.3 2007 67010,870+Incorrect789032004690−42.41,18158, 40299,583+Correct44.863353−46.1369541−48.706435271−50.861345516−52.50, 0007 33842, 662−

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Chapter 1:Whole NumbersBasic College Mathematics654.361, 000121,520239, 480−56.64,38129,99734,384−58.3,554,8301, 710,9131,843,917−60.355015355015xx+=+==62.2518257187xx=+=+=64.1402001406020060xx+=+==66.6,976,1724, 485, 7412, 490, 431−Romney received 2,490,431 votes.68.22, 070, 40019, 018,5603, 051,840−The Nile river is 3,051,840 feet longer.70.Total received = $3450Total used = $375 + $2300 = $2675Down payment = $3450−$2675 = $77572.10, 428, 6838,881,8261,546,857−1,546,857 people is the population increase.74.Illinois = 12,051,683IndianaMinnesota6, 045,5214,830, 78410,876,305+=+=Difference12, 057, 68310,876,3051,175,378 people=−=76.9, 295, 2978,881,826413, 471−413,471 people is the population increase.78.HighestLowest13, 236, 7205,900, 7697,335,951 people−=−=80.594811−The increase in the number of homes sold inIrving from 2014 to 2015 was 11 homes.82.19015733−The decrease in the number of homes sold inHarvey from 2013 to 2014 was 33 homes.84.27926118−29827919−The greatest change in the number of homes soldin Manchester occurred between 2014 and 2015.86.Winchester: 132Willow Creek: 150Essex: 72Manchester: 261Irving: 47Harvey: 190He should select Winchester and Willow Creek.88.It is true for allaandbifc= 0.For example:5(30)(53)0532022−−=−−−=−=90.30022872−Convert 72 feet to the number of 12-footsections.Now,17612=and each section costs$80 + $40 = $120.$1206$720×

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Basic College MathematicsChapter 1:Whole Numbers7Cumulative Review91.eight million, four hundred sixty-six thousand, eighty-four = 8,466,08492.296,308 = two hundred ninety-six thousand, three hundred eight93.25 + 75 + 80 + 20 + 18 = 21894.278,563896,1871,174, 750+Classroom Quiz 1.31.76318926739−2.706,350287,809418,541−3.26,300,50018, 279,1568, 021,344−1.4 Exercises2.You can write 13 as 10 + 3 and distribute 4 over the addition. 4×(10 + 3) = (4×10) + (4×3)4.×270534812691270534812696124203018244872365451035025152040603045362101591224361827000000000009186304527367210854814828020121632482436714490352128568442632414010681624121881656040243264964872

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Chapter 1:Whole NumbersBasic College Mathematics86.424168×8.486288×10.988784×12.3133939×14.53884304×16.5203210, 406×18.31, 206393, 618×20.3 215619, 290×22.48,7617341,327×24.257, 02192,313,189×26.278102780×28.89,3611008,936,100×30.5791000579, 000×32.614, 26010, 0006,142, 600, 000×34.332309960×36.42302084, 600×38.62, 0003000186, 000, 000×40.4321312964325616×42.163358154895705×44.68496122723332×46.780243 12015 6018, 720×48.652921 3045 86859,984×

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Basic College MathematicsChapter 1:Whole Numbers950.498394 48214 9419, 422×52.12683810 14438 0448,184×54.3078726 156215 46221, 616×56.573837634 428401 661 721 42,157, 488×58.7396142 9567 39443 4453, 746×60.509230210 18400 001 527 61,537, 784×62.207410036 2222 0742, 080, 222×64.15, 20030456, 000×66.302309060×68.3000302906, 000×70.8⋅3⋅2 = 24⋅2 = 4872.16⋅5⋅6 = 80⋅6 = 48074.5262152610 5211, 046×76.4⋅5⋅5⋅15 = 20⋅75 = 150078.x= 080.1155910355756785×The area is 6785 square millimeters.82.4×5 = 2012×8 = 9620 + 96 = 116The surveillance area is 116 square miles.84.34582760×The total amount of the purchase is $2760.86.27682208×The cost for the car rental is $2208.88.48129648576×576 miles is the distance she can travel.

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Chapter 1:Whole NumbersBasic College Mathematics1090.125245002503000×Jorge contributes $3000 to his IRA in one year.92.61,100, 00034, 0002, 077, 400, 000, 000×The approximate total yearly income is$2,077,400,000,000.94.18236×264104×54154×3610454194+There are 194 white paws in the room.96.1800×26126×542108×026108134+There are 134 white ears in the room.98.7( )567(8)568xx===100.639( )639(7)7xx===102.Yes5×(8−3) = 5×8−5×3a×(b−c) =a×b−a×cCumulative Review103.34, 08427,3286, 756−104.263278915631249+105.1278−(345 + 128) = 1278−473 = 805There is $805 left in his checking account.106.19321772160−The increase was $160.107.45,91842,6673 251−The population increased by 3251 people.108.1,358, 000, 000, 000720,800, 000, 000637, 200, 000, 000−The increase was $637,200,000,000.Classroom Quiz 1.41.26,5238212,184×2.83575814154731×3.7823453 91031 28234 6269, 790×1.5 Exercises2.75 354.79 636.58 408.77 49

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Basic College MathematicsChapter 1:Whole Numbers1110.76 4212.99 8114.96 5416.74 2818.88 6420.89 7222.81 824.07 026.12÷0undefined28.007=30.5÷5 = 132.5 R 28 42402Check:5840242×+34.8 R 39 75723Check:8972375×+36.17 R 16 103643421Check:1761021103×+38.53 R 38 4274027243Check:5384243427×+40.427 2942814140Check:427294×

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Chapter 1:Whole NumbersBasic College Mathematics1242.288 2241664640Check:288224×44.252 R 23 7586151586246.57 R 47 403355349448.7139 6417631192727050.1427 R 45 71395212013103935452.3021 R 16 18,1271810121276154.4027 R 78 32, 223322022166356756.54 R 26 326302624258.1335 45535105105060.672 4324320

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Basic College MathematicsChapter 1:Whole Numbers1362.523 R 1113 681065312650391164.20 R 3660 12361203603666.7688 61445654486464068.110 R 732 352732323270770.104 R 619 1982198276672.7128 896896074.134235 31, 49023 57 997 05940940076.12131 15721312622620x= 1278.146025 36,5002511 510 01 501 500Each horse eats 1460 pounds.80.120, 00070 8, 400, 0007 01 401 400Each snowplow cost $120,000.82.46,1798 369, 432324948148635672720Each person paid $46,179.

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