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Published bySilas Strickland Modified over 5 years ago

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Properties

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1. Commutative Property Commutative Property of Addition and Multiplication- -changing the order in which you add does not change the sum or product.

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

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Commutative Property of Multiplication 4 3 = 3 4 a b = b a

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Why isn’t there a commutative property of subtraction or division? 4 – 3 3 – 4 1 –1 2 1 1 2

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2. Associative Property Associative Property of Addition and Multiplication - -changing the way the numbers are grouped does not change the sum or product.

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Associative Property of Addition (3 + 4) + 5 = 3 + (4 + 5) (a + b) + c = a + (b + c) () () =

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Associative Property of Multiplication (3 4) 5 = 3 (4 5) (a b) c = a (b c) () = ()

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3. Identity Property Identity Property of Addition-- if you add zero to a number, you get the same number! NOTE: 0 is called the identity of addition

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Identity Property of Addition 6 + 0 = 6 x + 0 = x

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Identity Property of Multiplication 6 1 = 6 x 1 = x

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Zero Property of Multiplication 6 0 = 0x 0 = 0

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4. Zero Property (of Multiplication) Any number multiplied by 0 equals 0!

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5. Inverse Property Additive Inverse Property--a number plus its opposite equals 0.

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Inverse Property of Multiplication- -a number multiplied by its reciprocal equals 1.

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1.) Commutative for Addition 96 + 4 = 4 + 96

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2.) (6 + 2) + 4 = 6 + (2 + 4) Associative for Addition

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3.) Commutative for Multiplication 7xy = 7yx

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4.) Multiplication by Zero Property 5 0 = 0

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5.) Associative for Multiplication a(bc) = (ab)c

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6.) Identity for Multiplication 2 1 = 2

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7.) (1 + 2) + 3 = (2 + 1) + 3 Commutative for Addition

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8.) Identity for Addition x + 0 = x

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9.) Commutative for Multiplication 5(6) = 6(5)

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10.) Associative for Multiplication (3a)(b) = 3(ab)

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11.) Rewrite using the commutative property y + 5x5x + y =

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12.) Rewrite using the associative property (3 5)x3(5x) =

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