Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 4 - Decimals - 4.5 Dividing Decimal Numbers - 4.5 Exercises - Page 304: 29


The exact answer is 60.2 (not 6.2).

Work Step by Step

We need to check whether the answer given is reasonable: $307.02\div 5.1=6.2$ First, we estimate the answer by rounding: $307.02\div 5.1\approx 300\div 5=60$ Since 6.2 and 60 are not very close, the given answer is not reasonable. We find the exact answer by dividing: $5.1\overline{)307.02}$ First, we move the decimal point one place to the right to simplify the division: $~~~~~~~~~~60.2$ $51\overline{)3070.2}$ $~~~~~~\underline{306}$ $~~~~~~~~~~10$ $~~~~~~~~~~~~\underline{0}$ $~~~~~~~~~~102$ $~~~~~~~~~~\underline{102}$ $~~~~~~~~~~~~~~0$ We see that the exact answer is 60.2 (not 6.2).
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