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: 20



Work Step by Step

We find the quotient by dividing: $0.09\overline{)1.7}$ We move the decimal point two places to the right to simplify the division: $~~~~~~18.888$ $9\overline{)170.000}$ $~~~~~\underline{9}$ $~~~~~~80$ $~~~~~~\underline{72}$ $~~~~~~~~~80$ $~~~~~~~~~\underline{72}$ $~~~~~~~~~~~80$ $~~~~~~~~~~~\underline{72}$ $~~~~~~~~~~~~~80$ $~~~~~~~~~~~~~\underline{72}$ $~~~~~~~~~~~~~~~8$ Since the questions asks us to round to the nearest hundredth, we can stop with the remainder of 8. We round the quotient to the nearest hundredth: $18.88\bar8\approx18.89$
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