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: 25


The exact answer is 4.725 (not 47.25).

Work Step by Step

We need to check whether the answer given is reasonable: $37.8\div 8=47.25$ First, we estimate the answer by rounding: $37.8\div 8\approx 40\div 8=5$ Since 5 and 47.25 are not very close, the given answer is not reasonable. We find the exact answer by dividing: $~~~~~~4.725$ $8\overline{)37.800}$ $~~~~\underline{32}$ $~~~~~~58$ $~~~~~~\underline{56}$ $~~~~~~~~~20$ $~~~~~~~~~\underline{16}$ $~~~~~~~~~~~40$ $~~~~~~~~~~~\underline{40}$ $~~~~~~~~~~~~~0$ We see that the exact answer is 4.725 (not 47.25).
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