## College Algebra (10th Edition)

Published by Pearson

# Chapter R - Section R.1 - Real Numbers - R.1 Assess Your Understanding: 35

#### Answer

(a) $9.999$ (b) $9.998$

#### 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: (a) Rounded-off to three decimal places: $9.99\underline{8}\color{red}{5} \longrightarrow 9.999$ (b) Truncated to three decimal places: $9.99\underline{8}\color{red}{5} \longrightarrow 9.998$

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