1. Multiplication Properties Associative Property of Multiplication Commutative Property of Multiplication Identity Property of Multiplication Zero Property of Multiplication

2. Associative Property of 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

3. Commutative Property of 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

4. 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

5. Zero Property of 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

6. Class Project for Chapter 6

7. Chapter 6 Properties Distributive Property Commutative Property Associative Property Identity Property Zero Property "Order Property&qu ot; 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 7 3 x (5 x 6) = (3 x 5) x 6 28 x 1 = 2847 x 0 = 0