# Negative Numbers

Negative numbers are indeed real numbers, but their value is less than zero. They are the exact opposite for positive numbers. They are used to represent loss or deficiency in value. Negative numbers are often denoted by a minus (-) sign in front of them.

Let’s take for example, the number -35 which represents a negative value of 35 or, in other words, a deficit of 35. On the number line, it means that it is 35 units to the left of zero. A real number can be either a positive or a negative number and if there is no sign before a number, then it is a positive number. But if a negative sign precedes a number, then it is a negative number. ## Adding & Subtracting Negative Numbers

40 + 20

This literally means you are adding two positive numbers which can be written as:

(+40) + (+20)

And that gives a result as 40 + 20 = 60

But when you add a negative number like -5 to a positive number 10, it looks like:

(+10) + (-5) = 5

This is similar to subtracting two positive numbers 10 and 5, it looks like:

(+10) – (+5) = 5

So, adding a negative value is the same as that of subtracting a positive value.

But what happens when you subtract a negative value (-3) from a positive value 6? It looks like:

(+6) – (-3) = 9

Yes, when you subtract a negative value, it is like adding a two positive values.

So:

(+6) – (-3) = 9 is the same as that of

## Multiplying and Dividing Negative Numbers

When you have two like-signs, it automatically becomes a positive sign:

(+) * (+) = +
(-) * (-) = +
(+)/(+) = +
(-)/(-) = +

Ex 1: 2 * 3 = 6
Ex 2: -6 * -2 = 12
Ex 3: 10 / 5 = 2
Ex 4: 8 / 4 = 2

Whereas when you have two different signs, it becomes negative:

(+) (-) = –
(-) (+) = –
(+)/(-) = –
(-)/(+) = –

Ex 1: -2 * 3 = -6
Ex 2: -6 * 2 = -12
Ex 3: -10 / 2 = -5
Ex 4: 4/-2 = -2