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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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Distributive property1
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 property2
Distributive Property

  • Decide which number will be the sum

  • Take that sum apart into easier addends (expanded notation recommended)

  • Multiply each addend with the factor

  • Add the partial products together

    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


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