1. SOL 4.22 Algebra Commutative & Associative Properties By, Mrs. Sagendorf

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

3. Commutative Property of Multiplication Definition – The factors can exchange places and still equal the same product. Definition – The factors can exchange places and still equal the same product. Example – 3 x 2 = 2 x 3 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. Definition – The addends can be grouped differently and still equal the same sum. Example – 2+(3+4)=(2+3)+4 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. Definition – The factors can be grouped differently and still equal the same product. Example – 5x(3x2)=(5x3)x2 Example – 5x(3x2)=(5x3)x2

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

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

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

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

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

16. Answer 5 Which shows the Commutative Property of Addition? Which shows the Commutative Property of Addition?Answer: C. 7+2+3=2+3+7

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

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

21. Question 8 Which shows the Associative Property of Addition? Which shows the Associative Property of Addition? A. 6 + 9 + 12 = 12 + 6 + 9 B. 6 + (9 + 12) = (6 + 9) + 12 C. 6 + 9 + 12 = 15 + 12 D. 6 + (9 + 12) = (9 + 12) + 6

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

23. Question 9 Which is the best answer for: Which is the best answer for: 62 + (13 + 4) = ______ A. 82 B. 79 C. 74 D. 88

24. Answer 9 Which is the best answer for: Which is the best answer for: 62 + (13 + 4) = ______ Answer: B. 79

25. Question 10 Which is the best answer for: Which is the best answer for: 43 x (2 x 5) = _____ A. 86 B. 345 C. 430 D. 215

26. Answer 10 Which is the best answer for: Which is the best answer for: 43 x (2 x 5) = _____ Answer: C. 430