Multiplying Decimals &amp; Properties of Multiplication

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# Multiplying Decimals Properties of Multiplication - PowerPoint PPT Presentation

Multiplying Decimals &amp; 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 :.

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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

1. 4.8 2. 3.55

x 0.5 x .05

= 2.40 = 0.1775

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

( ab ) c = a ( bc )

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

Try These:

Identify the property

( x y ) z = x ( yz )

0 x 4 = 0