# Chapter 4 - Decimals - 4.4 Multiplying Decimal Numbers - 4.4 Exercises - Page 294: 58

$(59.6)(0.1) = 5.96$ $(3.2)(0.1) = 0.32$ $(0.476)(0.1) = 0.0476$ $(80.35)(0.1) = 8.035$ $(65)(0.1) = 6.5$ $(523)(0.1) = 52.3$ The rule for multiplying by 0.1 is to move the decimal one position to the left. The rule for multiplying by 0.01 is to move the decimal two positions to the left. $(59.6)(0.01) = 0.596$ $(3.2)(0.01) = 0.032$ $(0.476)(0.01) = 0.00476$ $(80.35)(0.01) = 0.8035$ $(65)(0.01) = 0.65$ $(523)(0.01) = 5.23$ The rule for multiplying by 0.001 is to move the decimal three positions to the left. $(59.6)(0.001) = 0.0596$ $(3.2)(0.001) = 0.0032$ $(0.476)(0.001) = 0.000476$ $(80.35)(0.001) = 0.08035$ $(65)(0.001) = 0.065$ $(523)(0.001) = 0.523$

#### Work Step by Step

$52\underleftarrow{3}\times0.1 = 52.3$ $5\,\underleftarrow{23}\times0.01 = 5.23$ $\underleftarrow{523}\times0.001 = 0.523$

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