# Question: Why do 2 negatives make a positive?

Contents

Each number has an additive inverse associated to it (a sort of opposite number), which when added to the original number gives zero. The fact that the product of two negatives is a positive is therefore related to the fact that the inverse of the inverse of a positive number is that positive number back again.Each number has an additive inverse

## Does adding two negatives make a positive?

When you have two negative signs, one turns over, and they add together to make a positive. If you have a positive and a negative, there is one dash left over, and the answer is negative.

## Why is a negative times a negative a positive proof?

Using the fact multiplication is commutative, a negative times a positive is also negative. Similarly, we can prove that a negative times a negative is a positive. Since we know that −ab is negative, and the sum of these two terms is 0, therefore (−a) × (−b) is positive.

## Why do 2 positives make a positive?

Each number has an additive inverse associated to it (a sort of opposite number), which when added to the original number gives zero. The fact that the product of two negatives is a positive is therefore related to the fact that the inverse of the inverse of a positive number is that positive number back again.