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Published byMeredith Cummings Modified over 7 years ago

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The Distributive Property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products The Distributive Property is represented by the expression: a(b+c) = a x b + a x c

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In other words, 12 x (3 + 4) = 12 X 3 + 12 x 4 Both sides of the equation evaluate to 84 12 x (3 + 4) =12 x 3 + 12 x 4 = 12 x (7) = 36 + 48 =84

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The property can also be used to multiply variables and coefficients For example: 2(a + b) = 2a + 2b

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To use the Distributive Property to Simplify an expression, multiply the number outside the parentheses by all of the terms inside the parentheses If there is a negative, a minus sign, or a negative number outside of the parentheses, then all of the terms must be multiplied by the negative as well. After using the Distributive Property, be sure to combine any like terms that remain.

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