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(9 + 8) + 7 = 9 + (8 + 7) The Associative Property of Addition 12 + 0 = 12 The Identity Property of Addition 9 + 7 = 7 + 9 The Commutative Property of Addition

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Textbook page 10- 11, problem 8-40 even show all your work Skip Problem #34

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1. Commutative 2. Associative 3. Identity 4. Zero Property

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Commuter A Commuter B Commuter A Commuter B A x B = B x A. Remember… commute means to change.

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A x B = B x A

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Commutative Property of Multiplication Changing the order of the factors does not change the product A x B = B x A 1 x 2 x 3 = 3 x 1 x 2 4 x 5 x 6 = 5 x 6 x 4

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1. Commutative 2. Associative 3. Identity 4. Zero Property

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(A x B) x C = A x (B x C) AC B AC B THEN The parentheses identify which two associates talked first.

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Associative Property of Multiplication Changing the grouping of the factors does not change the product. (1 x 2) x 3 = 1 x ( 2 x 3) (4 x 5) x 6 = 4 x ( 5 x 6 ) (A x B) x C = A x ( B x C)

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1. Commutative 2. Associative 3. Identity 4. Zero Property

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A x 1 = A x 1 =

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Identity Property of Multiplication The product of one and anything is anything 1 x 3 = 3 18 x 1 = 18 1 x C = C

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1. Commutative 2. Associative 3. Identity 4. Zero Property

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A x 0 = 0 x 0 = 0

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Zero Property of Multiplication The product of zero and anything is zero 3 x 0 = 0 18 x 0 =0 0 x C = 0

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Look at the problem. Identify which property it represents.

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(9 x 8) x 7 = 9 x (8 x 7) The Associative Property

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12 x 0 = 0 Zero Property

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3 x1 = 3 The Identity Property

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9 x 7 = 7 x 9 The Commutative Property

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4 x1 = 4 Identity Property Numbers change places.

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(4 x 3) x 2 = 4 x (3 x 2) The Associative Property It has parentheses!

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a x b = b x a The Commutative Property Moving numbers!

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a x 0 = 0 Zero Property

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A (a x b) x c = a x (b x c) The Associative Property Parentheses! CB

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1. Write the Problem 4. 32 x 0.012 *** Place values do NOT need to line up, but digits do!!! Multiplying Decimals - Steps

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2. Pretend decimals are not there! 4. 32 x 0.012 Multiplying Decimals - Steps

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3. Multiply 4. 32 x 0.012 864 + 4320 00000 05184 Multiplying Decimals - Steps

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4.Count total number of places behind ALL Decimals 4. 32 x 0.012 864 + 4320 00000 05184 2 places 3 places 5 total places!! Multiplying Decimals - Steps

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5.Place decimal that many places left.. 05184. 05184 4. 32 x 0.012 864 + 4320 00000 05184 Multiplying Decimals - Steps

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3.41

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Textbook page 16, problem 12-30 even show all your work 12- 18 do not estimate, give exact answer 30 show work (not extra credit)

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