Q:

What is an example of distributive property of multiplication over addition?

A:

Quick Answer

An example of the how the distributive property distributes multiplication over an addition problem is: x(y + z) = (xy + xz). In other words, "x" is multiplied across the two numbers that are being added together.

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Full Answer

The distributive property is an algebraic concept, which is why the example has letters. The same holds true with numbers: 2(4 + 5) = (2*4 + 2*5). In this problem, 4 + 5 = 9 and 9 x 2 = 18. Similarly, 2 x 4 = 8, 2 x 5 = 10 and 8 + 10 = 18. Whichever way the problem is worked, the result is the same.

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