# What is the additive inverse of 2?

## Question:

What is the additive inverse of 2?

In mathematics, we call the number 0 the additive identity because if we add 0 to any number, we get that number back out. The additive inverse of a given number is a number that can be added to the original number to get the additive identity, or 0. We have a nice rule for finding the additive inverse of a number.

The additive inverse of 2 is -2.

In general, the additive inverse of a number, x, is -x because of the following:

• x + (-x) = x - x = 0

We see that when we add a number to its negative, we always get 0. Therefore, the additive inverse of a number, x, is -x, so the additive inverse of 2 is -2. We can verify this by adding 2 and -2 and making sure we get 0.

• 2 + (-2) = 2 - 2 = 0