Distributive Property of Multiplication Over Subtraction

Now, let’s have a look at the example of a distributive property of multiplication over subtraction.

Suppose we have to multiply 6 with subtraction of 13 and 5, i.e. (13 – 5).

This can be performed in two ways.

Case 1: 6 × (13 – 5) = 6 × 8 = 48

Case 2: 6 × (13 – 5) = (6 × 13) – (6 × 5) = 78 – 30 = 48

Whichever is the procedure, the final result will be the same in both cases.

The distributive properties of addition and subtraction can be utilized to rewrite expressions for different purposes. When you multiply a number by a sum, you may add and multiply. Also, you can first multiply each addend and then add the products. This applies to subtraction as well. In every case, you disturb the outer multiplier to every value in the parenthesis, so that multiplication occurs with every value before addition or subtraction.