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: 19

Answer

$\approx 516.67$

Work Step by Step

We find the quotient by dividing: $0.006\overline{)3.1}$ We move the decimal point three places to the right to simplify the division: $~~~~~516.666$ $6\overline{)3100.000}$ $~~~~\underline{30}$ $~~~~~~10$ $~~~~~~~~\underline{6}$ $~~~~~~~~~40$ $~~~~~~~~~\underline{36}$ $~~~~~~~~~~~40$ $~~~~~~~~~~~\underline{36}$ $~~~~~~~~~~~~~40$ $~~~~~~~~~~~~~\underline{36}$ $~~~~~~~~~~~~~~~40$ $~~~~~~~~~~~~~~~\underline{36}$ $~~~~~~~~~~~~~~~~~4$ Since the questions asks us to round to the nearest hundredth, we can stop with the remainder of 4. We round the quotient to the nearest hundredth: $516.66\bar6~\approx516.67$
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