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: 20



Work Step by Step

We are asked to round 0.400594 to the nearest ten-thousandth. Step 1. Draw a cut-off line after the ten-thousandths place. We are cutting off the 9 and 4. They will be dropped. Step 2. We look at the first digit after the cut-off line, which is 9. 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 6. Therefore, 0.400594 rounded to the nearest ten-thousandth is 0.4006.
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