Inverse operations are really important in maths, for example when you have to solve equations (which is a huge topic), you can't do it without these inverse operations.

Inverse operations require us to do the opposite.

The opposite of + is -

The opposite of - is +

The opposite of x is ÷

The opposite of ÷ is x

**Examples:**

What is the opposite of +7?

Ans: -7

What is the opposite of dividing by 2?

And: Multiplying by 2

I add 7 and then multiply by 2. If my answer is 18, what was my original number?

This one is a bit more challenging. We have two operations, + 7 and x 2. The inverse operations for these would be - 7 and ÷ 2

*But which one do we use first?*

If we are doing the opposites, we are going backwards. In the question, we added 7 first then multiplied by 2. When we are doing the inverse, we swap this order as well.

Do to solve this we divide by 2 first, then subtract 7.

18 ÷ 2 = 9

9 - 7 = 2

Now it's your turn to have a go!