SOLUTION: How do you convert 365,220 centimeters to kilometers using two unit multipliers
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Question 165708This question is from textbook Algebra 1 1/2 An Incremental Development Third Edition Saxon
: How do you convert 365,220 centimeters to kilometers using two unit multipliers
This question is from textbook Algebra 1 1/2 An Incremental Development Third Edition Saxon
Found 2 solutions by josmiceli, gonzo:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
There are cm in a meter and
meters in a kilometer
cm x (meter / cm) x ( km / meters)
km
km answer
Answer by gonzo(654) (Show Source): You can put this solution on YOUR website!
you would first convert centimeters to meters using the unit multiplier from the equation 100 centimeters = 1 meter.
you would then convert meters to kilometers using the unit multiplier from the equation 1000 meters = 1 kilometer.
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the unit multiplier is a fraction that is always equal to 1.
this comes from the general equation of a = b.
if a = b, then a/b = 1, and b/a = 1.
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in your problem, you have 365220 centimeters.
it is in centimeters and it is the numerator of the fraction 365220 / 1.
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the conversion equation from centimeters to meters is:
100 centimeters = 1 meter.
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the unit multiplier can be either:
100 centimeters / 1 meter
or:
1 meter / 100 centimeters
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since your number is the numerator and it is in centimeters, then the unit multiplier you want to use would be 1 meter / 100 centimeters.
this keeps the denominator of the unit multiplier the same measure as the numerator of the number being converted.
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365220 centimeters * (1 meter / 100 centimeters) = 3652.20 meters.
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your number is now 3652.20 meters and you want to convert this to kilometers.
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the conversion equation from meters to kilometers is:
1000 meters = 1 kilometer.
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the unit multiplier can be either:
1000 meters / 1 kilometer
or:
1 kilometer / 1000 meters
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since your number is in meters and it is the numerator of the fraction 3652.20/1, you want your unit multiplier to have meters as the denominator.
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your unit multiplier would be 1 kilometer / 1000 meters.
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3652.20 meters * (1 kilometer / 1000 meters) = 3.65220 kilometers.
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conversion is complete.
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you started off in centimeters.
you multiplied by 1 meter / 100 centimeters to convert to meters.
you multiplied by 1 kilometer / 1000 meters to convert to kilometers.
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your answer is:
365220 centimeters = 3.65220 kilometers
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