SOL 4.22 Algebra Commutative

1
SOL 4.22 AlgebraCommutative Associative
Properties

• By, Mrs. Sagendorf

2
Commutative Property of Addition

• Definition The addends can exchange places and
  still equal the same sum.
• Example 7227

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(34)(23)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
7
6
10
8
9
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 (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?
• 48 (73 16) (48 73) 16
• Answer
• 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
• Answer
• 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
Question 5

• Which shows the Commutative Property of
  Addition?
• A. 723378
• B. 7(23)(22)7
• C. 723237
• D. 723572

16
Answer 5

• Which shows the Commutative Property of
  Addition?
• Answer
• C. 723237

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?
• Answer
• 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?
• Answer
• C. 7 x 8 x 4 8 x 4 x 7

21
Question 8

• 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?
• Answer
• B. 6 (9 12) (6 9) 12

23
Question 9

• 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
• 62 (13 4) ______
• Answer
• B. 79

25
Question 10

• 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
• 43 x (2 x 5) _____
• Answer
• C. 430