College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding: 37

Answer

(a) $0.429$ (b) $0.428$

Work Step by Step

RECALL: (1) To round-off a number, check the digit immediately to the right of the round-off place. If the digit is 5 or higher, round up the value, otherwise, retain the value. Examples: Round-off to two decimal places: $23.546 \longrightarrow 23.55 \\23.544 \longrightarrow 23.54$ (2) To truncate a number, drop all digits to the right of the specific truncation place. Examples: Truncate to two decimal places: $23.546 \longrightarrow 23.54 \\23.544 \longrightarrow 23.54$ Thus, for the given number: First, convert the fraction to a decimal using a calculator to obtain: $\dfrac{3}{7} = 0.4285714286$ (a) Rounded-off to three decimal places: $0.42\underline{8}\color{red}{5}714286 \longrightarrow 0.429$ (b) Truncated to three decimal places: $0.42\underline{8}\color{red}{5714286} \longrightarrow 0.428$
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