Addition of Negative Numbers: Determining the Sum of a + b Where a, b < 0

Question

a and b are negative numbers.

Therefore, a + b is...?

Step-by-Step Solution

To answer the question, we need to remember that when there is a sequence of minus and plus or plus and minus, the result will be minus.

In other words, (-)+ is actually -.

Let's demonstrate with an example:

Let's say a is -1

and b is -2

(-1)+(-2)=-3

And the result is negative!

Let's try to switch between the numbers, and say that a is -2

and b is -1

(-2)+(-1)=-3

The result is still negative!

Therefore we can conclude that adding two negative numbers results in a negative number.

Answer

Negative