A Preview of Properties

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Presentation transcript:

A Preview of Properties By: Ms. Oliva’s 8th grade Math Members

Commutative Property of Addition = a+b = b+a 3+4 = 4+3 7 = 7

Commutative Property of Multiplication = A (BC)=(BC) A 13(6 x 2)=(6 x 2)13 13 x 12 = 12 x 13 156 = 156

Associative Property of Addition = (a + b) + c = a + (b + c) (7 + 5) + 4 = 7 + (5 + 4) 12 + 4 = 7 + 9 16 = 16

ASSOCIATIVE PROPERTY OF MULTIPLICATION (ab)c = a(bc) (4 x 7)2 = 4 (7 x 2) 28 x 2 = 4 x 14 56 = 56

Distributive Property = a (b + c) = ab + ac 7 (5+2) = 7(5) + 7(2) 7 (7) = 35 + 14 49 = 49

Practice Quiz 1 47 + (95 + 117) = (47 + 95) + 117 Decide what property is shown. Click on your choice. 47 + (95 + 117) = (47 + 95) + 117 A. Associative Property B. Commutative Property C. Distributive Property

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Practice Quiz 2 (8 x 7)4 = 8(7 x 4) A. Associative Property Decide what property is shown. Click on your choice. (8 x 7)4 = 8(7 x 4) A. Associative Property B. Commutative Property C. Distributive Property

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Practice Quiz 3 8 (7 – 3) = (8 – 7) (8 – 3) A. Associative Property Decide what property is shown. Click on your choice. 8 (7 – 3) = (8 – 7) (8 – 3) A. Associative Property B. Commutative Property C. Distributive Property

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Practice Quiz 4 15 x 4 = 4 x 15 A. Associative Property Decide what property is shown. Click on your choice. 15 x 4 = 4 x 15 A. Associative Property B. Commutative Property C. Distributive Property

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Practice Quiz 5 17(x + y) = 17x + 17y A. Associative Property Decide what property is shown. Click on your choice. 17(x + y) = 17x + 17y A. Associative Property B. Commutative Property C. Distributive Property

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Practice Quiz 6 (8x – 2) + 14 = 14 + (8x – 2) A. Associative Property Decide what property is shown. Click on your choice. (8x – 2) + 14 = 14 + (8x – 2) A. Associative Property B. Commutative Property C. Distributive Property

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You’re on Your Own 14 (2 – 6) = (14 x 2) – (14 x 6) 3x + 17 = 17 + 3x Answers *Number your paper from 1-8. Write assoc., comm., or dist., to correctly label the property of each. 14 (2 – 6) = (14 x 2) – (14 x 6) 3x + 17 = 17 + 3x 12(4 + 8) = (12 x 4) + (12 x 8) (6 x 5) x 9 = 6 x (5 x 9) 3 + (20 + 4) = (3 + 20) + 4 (11 – 4) + 12 = 12 + (11 – 4) 10(22 + 12) = (10 x 22) + (10 x 12) 2x + (3x + 3x) = (2x + 3x) + 3x

The Answers dist. (Distributive Property) comm. (Commutative Property) assoc. (Associative Property)