The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.
It states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.
Here, calculating 8 × 27 can made easier by breaking down 27 as 20 + 7 or 30 − 3.
Distributive Property is easy to remember if you recall that "multiplication distributes over addition".They write this property as "a(b + c) = ab + ac". In numbers, this means, 2(3 + 4) = 2×3 + 2×4.
The distributive property explains that multiplying two numbers (factors) together will result in the same thing as breaking up one factor into two addends, multiplying both addends by the other factor, and adding together both products.
I got this from google for a more definitive answer than my original.
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