SOL 4.22 AlgebraSOL 4.22 AlgebraCommutative & Commutative &

Associative PropertiesAssociative Properties

By, Mrs. SagendorfBy, Mrs. Sagendorf

Commutative Commutative Property Property

of Additionof Addition Definition – The addends Definition – The addends

can exchange places and can exchange places and still equal the same sum.still equal the same sum.

Example – 7+2=2+7Example – 7+2=2+7

Commutative Commutative Property Property

of Multiplicationof Multiplication Definition – The factors can Definition – The factors can

exchange places and still exchange places and still equal the same product.equal the same product.

Example – 3 x 2 = 2 x 3Example – 3 x 2 = 2 x 3

Associative Associative Property Property

of Additionof Addition Definition – The addends Definition – The addends can be grouped differently can be grouped differently

and still equal the same and still equal the same sum.sum.

Example – Example – 2+(3+4)=(2+3)+42+(3+4)=(2+3)+4

Associative Associative Property Property

of Multiplicationof Multiplication Definition – The factors can Definition – The factors can

be grouped differently and be grouped differently and still equal the same product.still equal the same product.

Example – 5x(3x2)=(5x3)x2Example – 5x(3x2)=(5x3)x2

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Question 1Question 1 What property is shown here?What property is shown here?

34 + 27 = 27 + 3434 + 27 = 27 + 34

A. Commutative Property of AdditionA. Commutative Property of Addition

B. Commutative Property of B. Commutative Property of MultiplicationMultiplication

C. Associative Property of AdditionC. Associative Property of Addition

D. Associative Property of D. Associative Property of MultiplicationMultiplication

Answer 1Answer 1 What property is shown here?What property is shown here?

34 + 27 = 27 + 3434 + 27 = 27 + 34

Answer: Answer:

A. Commutative Property of AdditionA. Commutative Property of Addition

Question 2Question 2 What property is shown here?What property is shown here?

48 + (73 + 16) = (48 + 73) + 1648 + (73 + 16) = (48 + 73) + 16

A. Commutative Property of AdditionA. Commutative Property of Addition

B. Commutative Property of MultiplicationB. Commutative Property of Multiplication

C. Associative Property of AdditionC. Associative Property of Addition

D. Associative Property of MultiplicationD. Associative Property of Multiplication

Answer 2Answer 2 What property is shown here?What property is shown here?

48 + (73 + 16) = (48 + 73) + 48 + (73 + 16) = (48 + 73) + 1616

Answer: Answer:

C. Associative Property of AdditionC. Associative Property of Addition

Question 3Question 3 What property is shown here?What property is shown here?

18 x (22 x 49) = (18 x 22) x 4918 x (22 x 49) = (18 x 22) x 49

A. Commutative Property of AdditionA. Commutative Property of Addition

B. Commutative Property of B. Commutative Property of MultiplicationMultiplication

C. Associative Property of AdditionC. Associative Property of Addition

D. Associative Property of D. Associative Property of MultiplicationMultiplication

Answer 3Answer 3 What property is shown here?What property is shown here?

18 x (22 x 49) = (18 x 22) x 4918 x (22 x 49) = (18 x 22) x 49

Answer: Answer:

D. Associative Property of D. Associative Property of MultiplicationMultiplication

Question 4Question 4 What property is shown here?What property is shown here?

66 x 37 = 37 x 6666 x 37 = 37 x 66

A. Commutative Property of AdditionA. Commutative Property of Addition

B. Commutative Property of B. Commutative Property of MultiplicationMultiplication

C. Associative Property of AdditionC. Associative Property of Addition

D. Associative Property of D. Associative Property of MultiplicationMultiplication

Answer 4Answer 4 What property is shown here?What property is shown here?

66 x 37 = 37 x 6666 x 37 = 37 x 66

Answer: Answer:

B. Commutative Property of B. Commutative Property of MultiplicationMultiplication

Question 5Question 5 Which shows the Which shows the

Commutative Property of Commutative Property of Addition?Addition?

A. 7+2+3=3+7+8A. 7+2+3=3+7+8

B. 7+(2+3)=(2+2)+7B. 7+(2+3)=(2+2)+7

C. 7+2+3=2+3+7C. 7+2+3=2+3+7

D. 7+2+3=5+7+2D. 7+2+3=5+7+2

Answer 5Answer 5 Which shows the Which shows the

Commutative Property of Commutative Property of Addition?Addition?

Answer: Answer:

C. 7+2+3=2+3+7C. 7+2+3=2+3+7

Question 6Question 6 Which shows the Associative Which shows the Associative

Property of Multiplication?Property of Multiplication?

A. (6 x 5) x 2 = 6 x (5 x 2)A. (6 x 5) x 2 = 6 x (5 x 2)

B. 6 x 5 x 2 = 5 x 6 x 2B. 6 x 5 x 2 = 5 x 6 x 2

C. 5 x (6 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 10D. 5 x 6 x 2 = 6 x 10

Answer 6Answer 6 Which shows the Which shows the

Associative Property of Associative Property of Multiplication?Multiplication?

Answer: Answer:

A. (6 x 5) x 2 = 6 x (5 x 2)A. (6 x 5) x 2 = 6 x (5 x 2)

Question 7Question 7 Which shows the Which shows the

Commutative Property of Commutative Property of Multiplication?Multiplication?

A. 7 x 8 x 4 = 7 x 16 x 2A. 7 x 8 x 4 = 7 x 16 x 2

B. (7 x 8) x 4 = 7 x (2 x 16)B. (7 x 8) x 4 = 7 x (2 x 16)

C. 7 x 8 x 4 = 8 x 4 x 7C. 7 x 8 x 4 = 8 x 4 x 7

D. 7 x (8 x 4) = (7 x 8) x 4D. 7 x (8 x 4) = (7 x 8) x 4

Answer 7Answer 7 Which shows the Which shows the

Commutative Property of Commutative Property of Multiplication?Multiplication?

Answer: Answer:

C. 7 x 8 x 4 = 8 x 4 x 7C. 7 x 8 x 4 = 8 x 4 x 7

Question 8Question 8 Which shows the Associative Which shows the Associative

Property of Addition?Property of Addition?

A. 6 + 9 + 12 = 12 + 6 + 9A. 6 + 9 + 12 = 12 + 6 + 9

B. 6 + (9 + 12) = (6 + 9) + 12B. 6 + (9 + 12) = (6 + 9) + 12

C. 6 + 9 + 12 = 15 + 12C. 6 + 9 + 12 = 15 + 12

D. 6 + (9 + 12) = (9 + 12) + 6D. 6 + (9 + 12) = (9 + 12) + 6

Answer 8Answer 8 Which shows the Which shows the

Associative Property of Associative Property of Addition?Addition?

Answer: Answer:

B. 6 + (9 + 12) = (6 + 9) + 12B. 6 + (9 + 12) = (6 + 9) + 12

Question 9Question 9 Which is the best answer for:Which is the best answer for:

62 + (13 + 4) = ______62 + (13 + 4) = ______A. 82A. 82

B. 79B. 79

C. 74C. 74

D. 88D. 88

Answer 9Answer 9 Which is the best answer Which is the best answer

for:for:

62 + (13 + 4) = ______62 + (13 + 4) = ______

Answer: Answer:

B. 79B. 79

Question 10Question 10 Which is the best answer for:Which is the best answer for:

43 x (2 x 5) = _____43 x (2 x 5) = _____A. 86A. 86

B. 345B. 345

C. 430C. 430

D. 215D. 215

Answer 10Answer 10 Which is the best answer Which is the best answer

for:for:

43 x (2 x 5) = _____43 x (2 x 5) = _____

Answer: Answer:

C. 430C. 430