1. © 2007 M. Tallman

2. Commutative Property

3. © 2007 M. Tallman The order of the factors does not change the product. 15 53 × = factors product 5 × 3 = 3 × 5

4. © 2007 M. Tallman 15 =3×515 =5×3

5.  3 × 5 = j × 3  12 × p = 7 × 12  f f × 6 = 6 × 9  9 × 4 = 4 × s j = 5 p = 7 f = 9 s = 9 Use the Commutative Property to find the value of the variable.

6. © 2007 M. Tallman Commutative Property Associative Property

7. © 2007 M. Tallman The way the factors are grouped does not change the product. In math, parentheses are used to group numbers. They tell us which part of the problem to solve first. = 24 2 4 × × 3 ( ) (3 × 2) × 4 = 3 × (2 × 4)

8. © 2007 M. Tallman = 24(3×2)×4= 24(3×2)×4

9.  (8 × 5) × 12 = w × (5 × 12) 8 × e) × 2 = 8 × (9 × 2)  y y × (5 × 8) = (4 × 5) × 8  5 × (4 × 1) = (5 × 4) × h w = 8 e = 9 y = 4 h = 1 Use the Associative Property to find the value of the variable.

10. © 2007 M. Tallman Commutative Property Associative Property Identity Property

11. © 2007 M. Tallman The product of any number and 1 equals the number. 1 × 13 = 13

12. 1 13 ×= 13

13. Use the Identity Property to find the value of the variable.  39 × 1 = u  2,198 × b = 2,198  z z × 68 = 68 9901 = 1 × s u = 39 b = 1 z = 1 s = 901

14. © 2007 M. Tallman Commutative Property Associative Property Identity Property Zero Property

15. © 2007 M. Tallman The product of any number and 0 equals zero. 4 × 0 = 0

16. 4 0 ×= 0

17. Use the Zero Property to find the value of the variable.  82 × 0 = u  218 × b = 0  z z × 629 = 0 99,788 = 0 × s u = 0 b = 0 z = 0 s = 0

18. © 2007 M. Tallman

19. 8 × 3 = 3 × 8

20. © 2007 M. Tallman 4 × (7 × 8) = (4 × 7) × 8

21. © 2007 M. Tallman 9 × 1 = 9

22. © 2007 M. Tallman 22 × 0 = 0

23. © 2007 M. Tallman (5 × 4) × 3 = 5 × (4 × 3)

24. 4 × 0 = 0

25. © 2007 M. Tallman 34 × 1 = 34

26. © 2007 M. Tallman 53 × 5 = 5 × 53

27. © 2007 M. Tallman 11 × 9 = 9 × 11

28. © 2007 M. Tallman 6 × (9 × 8) = (6 × 9) × 8

29. © 2007 M. Tallman 0 × 345 = 0

30. © 2007 M. Tallman 1 × 8 = 8

31. © 2007 M. Tallman Multiply. Then write a different multiplication sentence using the Commutative Property. 1. 3 × 3 2. 5 × 3 3. 5 × 9 4. 6 × 8 5. 7 × 9 6. 4 × 6 7. 3 × 8 8. 7 × 4 9. 2 × 11 10. 12 × 3 = 9 = 15 = 45 = 48 = 63 = 24 = 24 = 28 = 22 = 36 3 × 3 = 9 3 × 5 = 15 9 × 5 = 45 8 × 6 = 48 9 × 7 = 63 6 × 4 = 24 8 × 3 = 24 4 × 7 = 28 11 × 2 = 22 3 × 12 = 36