Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10: 0134467795
ISBN 13: 978-0-13446-779-5

Chapter 4 - Decimals - 4.2 Rounding Decimal Numbers - 4.2 Exercises - Page 280: 19

Answer

82.0002

Work Step by Step

We are asked to round 82.000151 to the nearest ten-thousandth. Step 1. Draw a cut-off line after the ten-thousandths place. We are cutting off the 5 and 1. They will be dropped. Step 2. We look at the first digit after the cut-off line, which is 5. Step 3. Since this number is greater than or equal to 5, we round up the digit in the ten-thousandths place by 1 to 2. Therefore, 82.000151 rounded to the nearest ten-thousandth is 82.0002.
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