Multiplication Properties

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Identity Property of Multiplication

• Zero Property of Multiplication

Associative Propertyof Multiplication

• The property that states that the way in which factors are grouped does not change the product. It is also called the Grouping Property of Multiplication

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

Commutative Propertyof Multiplication

• The property which states that the order of factors does not change the product. It is also called the Order Property of Multiplication

• 4 x 5 = 5 x 4• a x b = b x a

Identity Property of Multiplication

• The property that states that the product of any number and 1 is that number.

• 5 x 1 = 5

• 16 x 1 = 16

• a x 1 = a

Zero Propertyof Multiplication

• The property that states that the product of any number and 0 is 0.

• 31 x 0 = 0

• 97 x 0 = 0

• a x 0 = 0

Class Project for Chapter 6

A Tree Map - Properties Due: Friday, November 2, 2012 Please make a tree map showing all multiplication properties and distributive property contained in Chapter 6 as shown below:

Distributive Property Commutative Property of Multiplication Associative Property of Multiplication Identity Property of Multiplication Zero Property of Multiplication

1. Define and explain each property in your own words. 2. Show one good example for each of the four multiplication

properties and distributive property. Rubric: Neatness - 1 Point Heading - 1 point Definition - 2 points each (10 points possible) Example - 2 points each (10 points possible) Total score possible = 22 points ** Late work will earn 50% of the grade.

Chapter 6 Properties

Distributive

Property

Commutative Property

Associative

Property

Identity Propert

y

Zero Propert

y

"Order

Property"

Changing the order

of the factors does ot change

their product

"Grouping Property" Changing the grouping of

factors does not change their

product

The product of a number and 1 is

that number.

The product of a number and zero

(0) is zero (0).

When two addends are

multiplied by a factor, the

producgt is the same as if each

addend was multiplied by he fact or and those partial products

were added.

7 x 28= 7 x (20 + 8)= 7 x 20 + 7 x

8=140 + 56

= 196

7 x 9 = 9 x 73 x (5 x 6) = (3 x 5) x 6

28 x 1 = 28 47 x 0 = 0