2. Properties

3. 1. Commutative Property Commutative Property of Addition and Multiplication- -changing the order in which you add does not change the sum or product.

4. Commutative Property of Addition 4 + 3 = 3 + 4 a + b = b + a

5. Commutative Property of Multiplication 4  3 = 3  4 a  b = b  a

6. Why isn’t there a commutative property of subtraction or division? 4 – 3  3 – 4 1  –1 2  1 1 2

7. 2. Associative Property Associative Property of Addition and Multiplication - -changing the way the numbers are grouped does not change the sum or product.

8. Associative Property of Addition (3 + 4) + 5 = 3 + (4 + 5) (a + b) + c = a + (b + c) () () =

9. Associative Property of Multiplication (3 4) 5 = 3 (4 5) (a b) c = a (b c) () = ()

10. 3. Identity Property Identity Property of Addition-- if you add zero to a number, you get the same number! NOTE: 0 is called the identity of addition

11. Identity Property of Addition 6 + 0 = 6 x + 0 = x

12. Identity Property of Multiplication 6 1 = 6 x 1 = x

13. Zero Property of Multiplication 6 0 = 0x 0 = 0

14. 4. Zero Property (of Multiplication) Any number multiplied by 0 equals 0!

15. 5. Inverse Property Additive Inverse Property--a number plus its opposite equals 0.

16. Inverse Property of Multiplication- -a number multiplied by its reciprocal equals 1.

17. 1.) Commutative for Addition 96 + 4 = 4 + 96

18. 2.) (6 + 2) + 4 = 6 + (2 + 4) Associative for Addition

19. 3.) Commutative for Multiplication 7xy = 7yx

20. 4.) Multiplication by Zero Property 5 0 = 0

21. 5.) Associative for Multiplication a(bc) = (ab)c

22. 6.) Identity for Multiplication 2 1 = 2

23. 7.) (1 + 2) + 3 = (2 + 1) + 3 Commutative for Addition

24. 8.) Identity for Addition x + 0 = x

25. 9.) Commutative for Multiplication 5(6) = 6(5)

26. 10.) Associative for Multiplication (3a)(b) = 3(ab)

27. 11.) Rewrite using the commutative property y + 5x5x + y =

28. 12.) Rewrite using the associative property (3 5)x3(5x) =