2. Multiplication Properties There are three properties involving multiplication that will help make problems easier to solve.There are three properties involving multiplication that will help make problems easier to solve.

3. Multiplication Properties The three main multiplication properties are:The three main multiplication properties are: CommutativeCommutative AssociativeAssociative DistributiveDistributive

4. Commutative property When two numbers are multiplied together, the product is the same no matter the order of the factors. For example 4 x 2 = 2 x 4 8 = 8 Remember: Multiply the number in parentheses ( ) first.

5. Let’s practice the commutative property! 3 4 5 7 x 4 x 3 x 7 x 5 35 x 6 = 6 x 35 40 x 2 = 2 x 40

6. Associative property When three or more numbers are multiplied, the product is the same no matter the grouping of the factors. For example

7. Let’s practice the associative property (5 x 7) x 2 = 5 x (7 x 2) (2 x 5) x 3 = 2 x (5 x 3) 4 x (6 x 2) = (4 x 6) x 2 8 x (3 x 4) = (8 x 3) x 4

8. Distributive property The addition of two numbers multiplied by a third number is equal to the addition of each number times the third number. For example 4 x (6 + 3) = (4 x 6) + (4 x 3)

9. Let’s practice together 2 x (5 + 3) = 10 + 6 16 (2 x 5) + (2 x 3)= 16

10. 3 x (4 + 6) = 4 x (2 + 5) =

11. Now, You try 5 x (4 + 7) = Skip 5 lines 7 x (9 + 6) = Skip 5 lines 2 x (12 + 4) = Skip 5 lines 3 x (14 + 5) =

12. Worksheet

13. Remember!! When I multiply a number that ends in 0 … 50 x 7 = 200 x 8 = 300 x 6 =40 x 5 = 35 0

14. Distributive property part 2 Mental strategies We can use the distributive property to solve multiplication problems in our heads. Example: 102 x 4 = (100 + 2) x 4 = (100 x 4) + (2 x 4) 400 + 8 408

15. 56 x 8 = 72 x 4 = Try to make a number that ends in 0 (50 + 6) x 8 = (50 x 8) + (6 x 8)