2. Properties of Addition and Multiplication Why is it important to recognize these properties? It helps us with mental math. It helps us recognize patterns in problems. It helps us solve problems faster!!!

3. Inverse Operation Property Inverse means opposite. Use the opposite operation to check solutions and find the value of variables. Addition X+4=9 Multiplication 8*x=32

4. Commutative Property If the order of the addends or factors is changed, the sum or product stays the same. Addition 4+9=9+4 Multiplication 2x8=8x2

5. Associative Property The way addends are grouped or factors are grouped does not change the sum or product. Addition (8+1)+5=8+(1+5) Multiplication (6x2)x4=6x(2x4)

6. Identity Property The sum of zero and any number equals that number. The product of one and any number equals that number. Addition 6+0=6 Multiplication 5x1=5

7. Distributive Property Multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. Multiplication 3x(5+10)=(3x5)+(3x10)

8. Zero Property of Multiplication The product of any number and zero is zero. Multiplication 12x0=0

9. by D. Fisher

11. (2 + 1) + 4 = 2 + (1 + 4) Associative Property of Addition

12. 3 + 7 = 7 + 3 Commutative Property of Addition

13. 8 + 0 = 8 Identity Property of Addition

14. 6 4 = 4 6 Commutative Property of Multiplication

15. 17 + (-17) = 0 Inverse Property of Addition

16. 2(5) = 5(2) Commutative Property of Multiplication

17. 3(2 + 5) = 32 + 35 Distributive Property

18. 6(78) = (67)8 Associative Property of Multiplication

19. 5 1 = 5 Identity Property of Multiplication

20. (6 – 3)4 = 64 – 34 Distributive Property

21. 1(-9) = -9 Identity Property of Multiplication

22. 3 + (-3) = 0 Inverse Property of Addition

23. 1 + [-9 + 3] = [1 + (-9)] + 3 Associative Property of Addition

24. -3(6) = 6(-3) Commutative Property of Multiplication

25. -8 + 0 = -8 Identity Property of Addition

26. 37 – 34 = 3(7 – 4) Distributive Property

27. 6 + [(3 + (-2)] = (6 + 3) + (- 2) Associative Property of Addition

28. 7 + (-5) = -5 + 7 Commutative Property of Addition

29. (5 + 4)9 = 45 + 36 Distributive Property

30. -3(5 4) = (-3 5)4 Associative Property of Multiplication

31. -8(4) = 4(-8) Commutative Property of Multiplication

32. 6(3 – 2n) = 18 – 12n Distributive Property

33. 2x + 3 = 3 + 2x Commutative Property of Addition

34. ab = ba Commutative Property of Multiplication

35. a + 0 = a Identity Property of Addition

36. a(bc) = (ab)c Associative Property of Multiplication

37. a1 = a Identity Property of Multiplication

38. a +b = b + a Commutative Property of Addition

39. a(b + c) = ab + ac Distributive Property

40. a + (b + c) = (a +b) + c Associative Property of Addition

41. a + (-a) = 0 Inverse Property of Addition