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chapter3.5b
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1993-09-22
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àï3.5è Dividing Decimal Numbers.
äè Please divide the following Decimal Numbers.
#âêêêï┌──────êê2.07ï≈ï2.1
#êêè Divideï2.3 │ 4.78êë┌─────────────
#êèand round the answer to theê 23 │ 47.80
#êènearest tenth.êêêë╠╬╪╪╪
êêêêêêêï1 80
#êèFirst, you should adjust theêë ╔╪╬╔
êèdecimal point.êêêê 19
éS To divide 4.78 by 2.3, you should first move the decimal point
in "2.3" to the right until you have a Whole Number.
êêêêë 23
Then, you should move the decimal point in "4.78" the same number of
places to the right.êë 47.8
#êêêêè ┌──────êêë┌───────
#Thus, the division problem, 2.3 │ 4.78 , is changed to 23 │ 47.80 .
Now place the decimal point for the answer directly above the decimal
point in the adjusted problem.ê.
#êêêêë┌───────
#êêêêï23 │ 47.80
Finally, you should divide the numbers as though they are Whole Numbers.
êêêêê 2.07ï≈ï2.1
#êêêêë┌──────────────
#êêêêï23 │ 47.80
#êêêêê╠╬╪╪╪
êêêêê 1 80
#êêêêê ╔╪╬╔
êêêêêè19
# 1êêêè ┌───────
#êêê Divideè 8 │ 43.92
ë A)ï5.49êèB)ï5.69êèC)ï4.49êèD)ïå
üêêêë5.49
#êêêê ┌───────
#êêêë 8 │ 43.92
#êêêêè╠╚╪╪╪
êêêêè 3 9
#êêêêè ╦╪╩╪
êêêêë 72
#êêêêë ╧╩
Ç A
# 2êêêë ┌───────
#êêêèDivideè 6 │ 13.89
ë A)ï1.36êèB)ï2.315êïC)ï2.34êèD)ïå
üêêêë2.315
#êêêê ┌────────
#êêêë 6 │ 13.890êNote that since the direc-
#êêêêè╔╩╪╪╪╪êtions did not say to round
êêêêè 1 8êïoff the answer, another "0"
#êêêêè ╔╪╨╪╪êwas inserted next to the 9.
êêêêê9ê If this had not divided
#êêêêê╬╪êevenly, we would have
êêêêê30êinserted another zero until
#êêêêê╦╚êit divided evenly.
Ç B
# 3êêêë ┌───────
#êêêèDivideè36 │ 165.6
ë A)ï3.7êè B)ï3.6êè C)ï4.6êè D)ïå
üêêêë4.6
#êêêê ┌───────
#êêêë36 │ 165.6
#êêêêè╔╠╠╪╪
êêêêè 21 6
#êêêêè ╩╔╪╬
Ç C
# 4êêêë ┌───────
#êêêèDivideè76 │ 26.22
ë A)ï3.36êèB)ï.345êèC)ï.452êèD)ïå
üêêêë .345
#êêêê ┌────────
#êêêë76 │ 26.22
#êêêêè╩╩╪╨╪╪
êêêêè 3 42
#êêêêè ╦╪╚╠╪
êêêêë 380
#êêêêë ╦╨╚
Ç B
# 5êêêë ┌───────
#êêêèDivideè.6 │ 11.04
ë A)ï1.87êèB)ï28.4êèC)ï18.4êèD)ïå
üêêêêêè18.4
#êê Adjust the decimalê ┌───────
#êëpoints to "6" andêè6 │ 110.4
#êë"110.4".êêêï╪╬╪╪╪
êêêêêêï50
#êêêêêêï╠╨╪╪
êêêêêêè2 4
#êêêêêêè╩╪╠
Ç C
# 6êêêê┌───────
#êêêè Divideï5.3 │ 12.72
ë A)ï2.4êè B)ï2.34êèC)ï2.134êïD)ïå
üêêêêêè 2.4
#êê Adjust the decimalê ┌───────
#êëpoints to "53" andê 53 │ 127.2
#êë"127.2".êêêï╔╚╬╪╪
êêêêêêï21 2
#êêêêêêï╩╔╪╩
Ç A
# 7êêêê┌───────
#êêêè Divideï.24 │ 1.728
ë A)ï1.253êïB)ï7.2êè C)ï4.317êïD)ïå
üêêêêêè 7.2
#êê Adjust the decimalê ┌───────
#êëpoints to "24" andê 24 │ 172.8
#êë"172.8".êêêï╔╬╨╪╪
êêêêêêè4 8
#êêêêêêè╠╪╨
Ç B
# 8êï┌───────
#ë Divideï4.5 │ 6.432ïand round the answer to the nearest tenth.
ë A)ï1.5êè B)ï1.6êè C)ï1.4êè D)ïå
üêêêêêè1.42ï≈ï1.4
#êê Adjust the decimalê ┌──────────────
#êëpoints to "45" andê 45 │ 64.32
#êë"64.32".êêêï╠═╪╪╪ë The answer rounded
êêêêêê 19 3êto the nearest
#êêêêêê ╔╨╪╚╪ë tenth is 1.4.
êêêêêêï1 32
#êêêêêêï╪╪╤╚
êêêêêêè 42
Ç C
# 9ê┌───────
#è Divideï3.2 │ 15.1èand round the answer to the nearest hundredth.
ë A)ï5.73êèB)ï4.72êèC)ï4.83êèD)ïå
üêêêêêè 4.718ï≈ï4.72
#êê Adjust the decimalê ┌─────────────────
#êëpoints to "32" andê 32 │ 151.000
#êë"151".ïAlso, insertêè ╔╩╨╪╪╪╪è The answer rounded
êëzeros out to theêêï23 0ë to the nearest
#êëthousandths place forêè ╩╩╪╠╪╪è hundredth is 4.72.
êëround off purposes.êêï60
#êêêêêêë╦╩╪
êêêêêêë280
#êêêêêêë╩═╬
êêêêêêë 24
Ç B
# 10ë ┌───────
#èDivideï3.14 │ 4.83èand round the answer to the nearest hundredth.
ë A)ï1.54êèB)ï2.54êèC)ï1.36êèD)ïå
üêêêêêè 1.538ï≈ï1.54
#êê Adjust the decimalê ┌─────────────────
#êëpoints to "314" andë 314 │ 483.000
#êë"483".ïAlso, insertêè ╦╔╠╪╪╪╪è The answer rounded
êëzeros out to theêê 169 0ë to the nearest
#êëthousandths place forêè╔═╧╪╚╪╪è hundredth is 1.54.
êëround off purposes.êë 12 00
#êêêêêêï╪╤╪╠╩╪
êêêêêêè2 580
#êêêêêêè╩╪═╔╩
êêêêêêë 68
Ç A
# 11ë┌────────
#èDivideè12 │ 2.3847ïand round the answer to the nearest thousandth.
ë A)ï.178êèB)ï.199êèC)ï.293êèD)ïå
üêêêêêè.1987ï≈ï.199
#êê There is no needêè┌─────────────────
#êëto adjust the decimalë12 │ 2.3847
#êëpoints.ïAlso, thereêè ╔╪╩╪╪╪è The answer rounded
êëis no need to insertêè 1 18ë to the nearest
#êëzeros since the "7"êë╔╪╚╨╪╪è thousandth is .199.
êëis in the ten-thousandthsê 104
#êëplace.êêêë ╪╤╬╪
êêêêêêè 104
#êêêêêêè ╪╤╬
êêêêêêë87
#êêêêêêë╨╠
êêêêêêë 3
Ç B
12èIf Bill worked 40.8 hours earning $187.68, how much
êë did he make per hour?
ë A)ï$4.60êïB)ï$3.90êïC)ï$4.15êïD)ïå
üêêêêêë4.6
#êê Adjust the decimalê ┌────────
#êëpoints to "408" andë 408 │ 1876.8
#êë"1876.8".êêê ╔╬╦╩╪╪ëHe makes $4.60
êêêêêêï244 8ëper hour.
#êêêêêêï╩╠╠╪╨
êêêêêêë 0
Ç A
13èA roast weighing 4.2 pounds cost a total of $13.65.
êë What is the price per pound?
ë A)ï$3.69êïB)ï$3.25êïC)ï$3.49êïD)ïå
üêêêêêë3.25
#êê Adjust the decimalê ┌────────
#êëpoints to "42" andê 42 │ 136.50
#êë"136.5".êêêï╔╩╬╪╪╪ëThe price per
êêêêêêï10 5ë pound is $3.25.
#êêêêêêï╪╨╪╠╪
êêêêêêè2 10
#êêêêêêè╩╪╔╚
Ç B
14ëIf a single screw weighs .035 oz, how many screws are in
êê 16 oz bag?
ë A)ï382êè B)ï556êè C)ï457êè D)ïå
üêêêêêè 457.1
#êê Adjust the decimalê ┌─────────
#êëpoints to "35" andê 35 │ 16000.0
#êë"16000".êêêï╔╠╚╪╪╪╪è The answer rounded
êêêêêêï200êto the nearest
#êêêêêêï╔╧═╪╪ëWhole Number is
êêêêêêè250ë 457.
#êêêêêêè╩╠═╪
êêêêêêë5 0
#êêêêêêë╦╪═
êêêêêêë1 5
Ç C