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Properties of Multiplication & Addition Numbers can be added or multiplied in any order and still yield the same result a+b=b+a 4n = n x 4 3(6) = 6(3) Commutative Property When adding or multiplying, numbers can be grouped in any way and still yield the same result (4 + 3) + 2 = (2 + 3) + 4 (7 x n) x 3 = (7 x 3) x n (a + b) + c = (c + a) + b Associative Property When a number is multiplied by a group of numbers nested in parentheses, you can use the product of that number and each part inside the parentheses and still yield the same result. This also removes the parentheses from the problem. 7(4 + 1) = (7 x 4) + (7 x 1) 5(n – 12) = (5 x n) – (5 x 12) Distributive Property When you add zero to any number, the result is always that number. When you multiply any number by 1, the result is that number. 5+0=5 14 x 1 = 14 0+n=n 1xb=b Identity Property of Addition & Multiplication 5 x (4 x 4) = (5 x 4) x 4 Which property is it? 6( n – 13) = (6 x n) – (6 x 13) Which property is it? 7x1=7 Which property is it? ab = ba Which property is it? 38 + 0 = 38 Which property is it? 5(n + 5) Simplify using the distributive property -8(n + 12) Simplify using the distributive property -6(n – 4) Simplify using the distributive property Challenge! -b(b + 12) Simplify using the distributive property Play rags to riches! SmartMath matching