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Multiplying Decimals & Properties of Multiplication Christine Berg Edited By V T Hamilton

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Step 1: Multiply as if the factors were whole numbers

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Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

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Step 2: Count the total decimals places in the factors

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Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..

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Step 3: Give the product the total decimal places of the factors

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Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1.2 5

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Try These: 1. 4.8 2. 3.55 x 0.5 x.05

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Answers: 1. 4.8 2. 3.55 x 0.5 x.05 = 2.40 = 0.1775

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Properties of Multiplication

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Identity Property The product of 1 and a number (a) is the number (a) 1(a) = a

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Examples 1 (b) = b 1 x 42 = 42

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Zero Property The product of 0 and a number (a) is 0 0 (a) = 0

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Examples 0 (b) = 0 0 x 67 = 0

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Commutative Property Changing the order of the factors does not change the answer

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Examples a ( b ) = b ( a ) 5 x 2 = 2 x 5

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Associative Property Changing the grouping of factors does not change the answer

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Examples ( a b ) c = a ( b c ) ( 3 x 2 ) x 4 = 3 x ( 2 x 4 )

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Try These: Identify the property ( x y ) z = x ( y z ) 0 x 4 = 0

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Answers: ( x y ) z = x ( y z ) Associative Property of x 0 x 4 = 0 Zero Property

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Multiplying Decimals. Multiplying Decimals Notes Multiply as usual, ignoring the decimal points. Count how many total digits are to the right of the decimal.

Multiplying Decimals. Multiplying Decimals Notes Multiply as usual, ignoring the decimal points. Count how many total digits are to the right of the decimal.

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