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Multiplying Decimals & Properties of Multiplication

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Multiplying Decimals &Properties of Multiplication

Christine Berg

Edited By V T Hamilton

Multiply as if the factors were whole numbers

8.5

X2.5

4 2 5

1 7 0 0

2 1 2 5 next…..

Count the total decimals places in the factors

8.5

X2.5

4 2 5

1 7 0 0

2 1 2 5 next…..

Give the product the total decimal places of the factors

8.5

X2.5

4 2 5

1 7 0 0

2 1 .2 5

1. 4.8 2. 3.55

x 0.5 x .05

1. 4.8 2. 3.55

x 0.5 x .05

= 2.40 = 0.1775

The product of 1 and a number (a) is the number (a)

1(a) = a

1 (b) = b

1 x 42 = 42

The product of 0 and a number (a) is 0

0 (a) = 0

0 (b) = 0

0 x 67 = 0

Changing the order of the factors does not change the answer

a ( b ) = b ( a )

5 x 2 = 2 x 5

Changing the grouping of factors does not change the answer

( ab ) c = a ( bc )

( 3 x 2 ) x 4 = 3 x ( 2 x 4 )

Identify the property

( x y ) z = x ( yz )

0 x 4 = 0

( x y ) z = x ( yz )

Associative Property of x

0 x 4 = 0

Zero Property