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Properties of Addition The Cummutative Property of Addition states that _______________________________________________________________________ The Associative Property of Addition states that The Additive Inverse Property states that The Identity Property of Zero states that _______________________________________________________________________ Properties of Multiplication The Cummutative Property of Multiplication states that The Associative Property of Multiplication states that The Multiplicative Identity Property states that The Distributive Property of Multiplication states that Properties of Addition The Cummutative Property of Addition states that The order of the numbers does not change the sum. 7+4= The Associative Property of Addition states that Grouping addends will not change the sum. (5 + 8) + 6 = The Additive Inverse Property states that Two terms when added together have a sum of 0. The numbers are equal distance on a number line. 7+ =0 -8n + = 0 The Zero Property of Addition states that When you add 0 to any number, the sum is that number. Ex: 4 + 0 = Properties of Multiplication The Cummutative Property of Multiplication states that The order of the numbers does not change the product. 7x4= The Associative Property of Multiplication states that The grouping of factors does not change the product (5 x 2) x 4 = The Identity Property of Multiplication states that Multiply any number by 1 and the product is that number Ex: 28,300 x 1 = The Zero Property of Multiplication states that The product of any number and 0 is 0 8 x (9 x 0) = The Distributive Property of Multiplication states that Multiplying a sum by a number is the same as multiplying each addend by that number and adding the two products. 3(8 + 2) = (3 x 8) + (3 x 2) a(b + c) = ab + ac

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