Distributive Property. Distributive Property. The property that states that multiplying a sum by a number is the same as multiplying each addend in the sum by the number and then adding the products. 7 x 15 7 x (10 + 5) (7 x 10) + (7 x 5) 70 + 35 105. Distributive Property.
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7 x (10 + 5)
(7 x 10) + (7 x 5)
70 + 35
Distributive Property is represented as…
a(b + c) = (a x b) + (a x c),
a(b + c) = ab + ac
for any value of a, b, and c