What Is an Example of Distributive Property of Multiplication Over Addition?

What Is an Example of Distributive Property of Multiplication Over Addition?

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.

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.