Chemistry: The Central Science (13th Edition)

Published by Prentice Hall

Chapter 1 - Introduction: Matter and Measurement - Exercises: 1.51b

88.5 meters

Work Step by Step

$(\frac{.055 mi}{1})\times(\frac{1609.34}{mi})=88.5137 meters$ In order to do this unit conversion, first start with the given number, .055 miles. Then, put that unit on the bottom of the fraction next to it in order to cancel out the unit of miles. Doing this leaves the unit meters alone, giving the answer. With the exception of the first fraction, the top and the bottom of the fraction must be equal, for they must cancel out. After all, it is legal to multiply a number by one, but it is not mathematically legal to multiply a number like .055 miles by a nonzero number in a unit conversion. However, because 1609.34 meters equals one mile, multiplying by $(\frac{1609.34}{mi})$ is legal.

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