Prealgebra (7th Edition)

Published by Pearson

Chapter 9 - Section 9.7 - Temperature and Conversions Between the U.S. and Metric Systems - Exercise Set: 32

Answer

$84 \text{ cm}= 2\text{ ft } 9\text{ in}$

Work Step by Step

If we want to convert from centimeters to inches, we have to consider the following conversion rate: $2.54\text{ cm}=1\text{ in}$ We divide both sides by 2.54: $1\text{ cm}=\frac{1}{2.54}\text{ in}$ We multiply both sides by $84$ in order to get the answer to the question: $84 \text{ cm} =\frac{84}{2.54}\text{ in}\approx 33\text{ in}$ After that, we convert to feet and inches by using the conversion rate: $1 \text{ ft}= 12\text{ in}$ We divide 33 by 12 with a remainder, in order to do the conversion: $33=24+9=2\times 12 +9$ This means: $33 \text{ in}= 2\times 12 \text{ in}+9\text{ in}=2\text{ ft } 9\text{ in}$

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