Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Chapter 4 - Decimals - 4.5 Dividing Decimal Numbers - 4.5 Exercises - Page 303: 26


The exact answer is 115.2 (not 11.52).

Work Step by Step

We need to check whether the answer given is reasonable: $345.6\div 3=11.52$ First, we estimate the answer by rounding: $345.6\div 3\approx 300\div 3=100$ Since 11.52 and 100 are not very close, the given answer is not reasonable. We find the exact answer by dividing: $~~~115.2$ $3\overline{)345.6}$ $~~~\underline{3}$ $~~~~~~4$ $~~~~~~\underline{3}$ $~~~~~~~15$ $~~~~~~~\underline{15}$ $~~~~~~~~~~~6$ $~~~~~~~~~~~\underline{6}$ $~~~~~~~~~~~~0$ We see that the exact answer is 115.2 (not 11.52).
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