## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 1 - Unit 1C Review: 9

#### Answer

(a) $45.1$ (b) $45.06$

#### Work Step by Step

Given: $45.0649$ (a) Three significant digits: All digits are significant. Thus, rounding the given number to three significant digits is equivalent to rounding to the nearest tenths. The tenth's digit is followed by a 6. Thus, round up the tenth's digit to $1$ and drop the the rest of the decimals to the right to obtain $45.1$ (b) Four significant digits All digits are significant. Thus, rounding the given number to four significant digits is equivalent to rounding to the nearest hundredths. The hundredth's digit is followed by a 4. Thus, retain the hundredth's digit and drop the the rest of the decimals to the right to obtain $45.06$

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