Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 1 - Introduction: Matter and Measurement - Additional Exercises - Page 38: 1.67a



Work Step by Step

This question involves unit conversion, as it gives a distance in miles and asks for the distance in meters. In order to convert between miles and meters, the ratio between miles and meters must be known. In this case, there are 1609.34 meters in one mile. $(240,000 miles) \times (\frac{1609.34 meters}{1 mile}) = 386,241,600 meters \approx 3.9\times10^8m$ First, start with the known value, which in this case in 240,000 miles. In order to get the answer in the desired unit, meters, the unit of miles must cancel out. Thus, in the fraction $(1609.34meters\div1 mile)$, the unit miles is on the bottom of the fraction. In order to make this step legal, however, the equivalent of one mile, 1609.34 meters, is put on the top of the fraction. After the units of miles cancel out, the desired unit, meters, is left over, thus giving the answer 386, 241, 600 meters.
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