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: 28

Answer

The exact answer is 506 (not 56).

Work Step by Step

We need to check whether the answer given is reasonable: $2428.8\div 4.8=56$ First, we estimate the answer by rounding: $2428.8\div 4.8\approx 2000\div 5=400$ Since 56 and 400 are not very close, the given answer is not reasonable. We find the exact answer by dividing: $4.8\overline{)2428.8}$ First, we move the decimal point one place to the right to simplify the division: $~~~~~~~~~506$ $48\overline{)24288}$ $~~~~~~\underline{240}$ $~~~~~~~~~~28$ $~~~~~~~~~~~~\underline{0}$ $~~~~~~~~~~288$ $~~~~~~~~~~\underline{288}$ $~~~~~~~~~~~~~~0$ We see that the exact answer is 506 (not 56).
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