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 X next…..

Step 2: Count the total decimals places in the factors

Step 1: 8.5 X next…..

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

Step 1: 8.5 X

Try These: x 0.5 x.05

Answers: x 0.5 x.05 = 2.40 =

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