sol 4.22 algebra commutative & associative properties

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

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Page 1: SOL 4.22 Algebra Commutative & Associative Properties

SOL 4.22 AlgebraSOL 4.22 AlgebraCommutative & Commutative &

Associative PropertiesAssociative Properties

By, Mrs. SagendorfBy, Mrs. Sagendorf

Page 2: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 3: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 4: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 5: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 6: SOL 4.22 Algebra Commutative & Associative Properties

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Page 7: SOL 4.22 Algebra Commutative & Associative Properties

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 AdditionB. Commutative Property of B. Commutative Property of

MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of

MultiplicationMultiplication

Page 8: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 9: SOL 4.22 Algebra Commutative & Associative Properties

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 AdditionB. Commutative Property of MultiplicationB. Commutative Property of MultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of MultiplicationD. Associative Property of Multiplication

Page 10: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 11: SOL 4.22 Algebra Commutative & Associative Properties

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 AdditionB. Commutative Property of B. Commutative Property of

MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of

MultiplicationMultiplication

Page 12: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 13: SOL 4.22 Algebra Commutative & Associative Properties

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 AdditionB. Commutative Property of B. Commutative Property of

MultiplicationMultiplicationC. Associative Property of AdditionC. Associative Property of AdditionD. Associative Property of D. Associative Property of

MultiplicationMultiplication

Page 14: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 15: SOL 4.22 Algebra Commutative & Associative Properties

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+8B. 7+(2+3)=(2+2)+7B. 7+(2+3)=(2+2)+7C. 7+2+3=2+3+7C. 7+2+3=2+3+7D. 7+2+3=5+7+2D. 7+2+3=5+7+2

Page 16: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 17: SOL 4.22 Algebra Commutative & Associative Properties

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 2C. 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

Page 18: SOL 4.22 Algebra Commutative & Associative Properties

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)

Page 19: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 20: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 21: SOL 4.22 Algebra Commutative & Associative Properties

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 + 9B. 6 + (9 + 12) = (6 + 9) + 12B. 6 + (9 + 12) = (6 + 9) + 12C. 6 + 9 + 12 = 15 + 12C. 6 + 9 + 12 = 15 + 12D. 6 + (9 + 12) = (9 + 12) + 6D. 6 + (9 + 12) = (9 + 12) + 6

Page 22: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 23: SOL 4.22 Algebra Commutative & Associative Properties

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

62 + (13 + 4) = ______62 + (13 + 4) = ______A. 82A. 82B. 79B. 79C. 74C. 74D. 88D. 88

Page 24: SOL 4.22 Algebra Commutative & Associative Properties

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

Page 25: SOL 4.22 Algebra Commutative & Associative Properties

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. 86B. 345B. 345C. 430C. 430D. 215D. 215

Page 26: SOL 4.22 Algebra Commutative & Associative Properties

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