1. Properties of Operations Math 7
By: Mrs. Sagendorf
Edited by: Ms. Washington

2. Commutative Property of Addition
Definition – The addends can exchange places and still equal the same sum.
Example – 7+2=2+7

3. Commutative Property of Multiplication
Definition – The factors can exchange places and still equal the same product.
Example – 3 x 2 = 2 x 3

4. Associative Property of Addition
Definition – The addends can be grouped differently and still equal the same sum.
Example – 2+(3+4)=(2+3)+4

5. Associative Property of Multiplication
Definition – The factors can be grouped differently and still equal the same product.
Example – 5x(3x2)=(5x3)x2

6. Try my game... 1 2 3 4 5 6 7 8 9 10

7. Question 1 What property is shown here? 34 + 27 = 27 + 34
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication

8. Answer 1 What property is shown here? 34 + 27 = 27 + 34 Answer:
A. Commutative Property of Addition

9. Question 2 What property is shown here?
48 + ( ) = ( ) + 16
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication

10. Answer 2 What property is shown here? 48 + (73 + 16) = (48 + 73) + 16
C. Associative Property of Addition

11. Question 3 What property is shown here?
18 x (22 x 49) = (18 x 22) x 49
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication

12. Answer 3 What property is shown here? 18 x (22 x 49) = (18 x 22) x 49
D. Associative Property of Multiplication

13. Question 4 What property is shown here? 66 x 37 = 37 x 66
A. Commutative Property of Addition
B. Commutative Property of Multiplication
C. Associative Property of Addition
D. Associative Property of Multiplication

14. Answer 4 What property is shown here? 66 x 37 = 37 x 66 Answer:
B. Commutative Property of Multiplication

15. Which shows the Commutative Property of Addition?
Question 5
Which shows the Commutative Property of Addition?
A =3+7+8
B. 7+(2+3)=(2+2)+7
C =2+3+7
D =5+7+2

16. Answer 5 Which shows the Commutative Property of Addition? Answer:

17. Question 6 Which shows the Associative Property of Multiplication?
A. (6 x 5) x 2 = 6 x (5 x 2)
B. 6 x 5 x 2 = 5 x 6 x 2
C. 5 x (6 x 2) = 5 x (6 x 2)
D. 5 x 6 x 2 = 6 x 10

18. Answer 6 Which shows the Associative Property of Multiplication?
A. (6 x 5) x 2 = 6 x (5 x 2)

19. Question 7 Which shows the Commutative Property of Multiplication?
A. 7 x 8 x 4 = 7 x 16 x 2
B. (7 x 8) x 4 = 7 x (2 x 16)
C. 7 x 8 x 4 = 8 x 4 x 7
D. 7 x (8 x 4) = (7 x 8) x 4

20. Answer 7 Which shows the Commutative Property of Multiplication?
C. 7 x 8 x 4 = 8 x 4 x 7

21. Question 8 Which shows the Associative Property of Addition?
B. 6 + (9 + 12) = (6 + 9) + 12
C =
D. 6 + (9 + 12) = (9 + 12) + 6

22. Answer 8 Which shows the Associative Property of Addition? Answer:
B. 6 + (9 + 12) = (6 + 9) + 12

23. Question 9 Which is the best answer for: 62 + (13 + 4) = ______ A. 82
D. 88

24. Answer 9 Which is the best answer for: 62 + (13 + 4) = ______ Answer:

25. Question 10 Which is the best answer for: 43 x (2 x 5) = _____ A. 86
D. 215

26. Answer 10 Which is the best answer for: 43 x (2 x 5) = _____ Answer:

27. Additive Identity
When 0 is added to any number, the sum is the number.
a + 0 = a

28. Multiplicative Identity
When any number is multiplied by 1 the product is the number.
a ∙ 1 = a

29. Multiplication Property of Zero

30. Distributive Property