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Multiplying Decimals & Properties of Multiplication Christine Berg Edited By V T Hamilton
Step 1: Multiply as if the factors were whole numbers
Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..
Step 2: Count the total decimals places in the factors
Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1 2 5 next…..
Step 3: Give the product the total decimal places of the factors
Step 1: 8.5 X2.5 4 2 5 1 7 0 0 2 1.2 5
Try These: 1. 4.8 2. 3.55 x 0.5 x.05
Answers: 1. 4.8 2. 3.55 x 0.5 x.05 = 2.40 = 0.1775
Properties of Multiplication
Identity Property The product of 1 and a number (a) is the number (a) 1(a) = a
Examples 1 (b) = b 1 x 42 = 42
Zero Property The product of 0 and a number (a) is 0 0 (a) = 0
Examples 0 (b) = 0 0 x 67 = 0
Commutative Property Changing the order of the factors does not change the answer
Examples a ( b ) = b ( a ) 5 x 2 = 2 x 5
Associative Property Changing the grouping of factors does not change the answer
Examples ( a b ) c = a ( b c ) ( 3 x 2 ) x 4 = 3 x ( 2 x 4 )
Try These: Identify the property ( x y ) z = x ( y z ) 0 x 4 = 0
Answers: ( x y ) z = x ( y z ) Associative Property of x 0 x 4 = 0 Zero Property
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