## Basic College Mathematics (9th Edition)

Published by Pearson

# Chapter 4 - Decimals - 4.4 Multiplying Decimal Numbers - 4.4 Exercises - Page 294: 57

#### Answer

$(5.96)(10) = 59.6$ $(3.2)(10) = 32$ $(0.476)(10) = 4.76$ $(80.35)(10) = 803.5$ $(722.6)(10) = 7226$ $(0.9)(10) = 9$ The rule for multiplying by 10 is to shift the decimal one position to the right. The rule for multiplying by 100 is to shift the decimal two positions to the right. $(5.96)(100) = 596$ $(3.2)(100) = 320$ $(0.476)(100) = 47.6$ $(80.35)(100) = 8035$ $(722.6)(100) = 72260$ $(0.9)(100) = 90$ The rule for multiplying by 1000 is to shift the decimal three positions to the right. $(5.96)(1000) = 5960$ $(3.2)(1000) = 3200$ $(0.476)(1000) = 476$ $(80.35)(1000) = 80350$ $(722.6)(1000) = 722600$ $(0.9)(1000) = 900$

#### Work Step by Step

$0.\underrightarrow476\times10=4.76$ $0.\underrightarrow{47}\,6\times100=47.6$ $0.\underrightarrow{476}\times1000=476$

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