**Understanding negative numbers** *KS3 Revision*

## What you need to know

**Things to remember:**

- Positive number are on the right of 0.
- Negative numbers are on the left of 0.
- The “bigger” a negative number, the smaller it is.

A negative number is a number that is smaller than 0

*Put the following number in size from smallest to biggest.*

5 7 -3 -7 3 -4

Let’s just take two numbers as an example, 7 and -7. Which is bigger? How can we tell? Well, as we count up on a number line our numbers are getting bigger, so the numbers to the right of another number will be bigger. So, let’s put these all on a number line.

Putting our numbers on the number line has help us put these in order. And, it helps us see three important points:

- Negative numbers are always to the left of 0.
- Negative numbers count backwards to the left in the same way positive numbers count to the right.

And, if we remove the 2 and 5:

3.The “bigger” the number part of the negative number, the smaller it is.

-7 is less than -3

-12 is less than -7

– 23 is less than -12

So, the further left we go, the smaller the numbers are

## Example Questions

**Question 1:** Which number is smaller, -25 or -100?

-100 is smaller than -25

**Question 2:** Put the following numbers in order from biggest to smallest

12 4 -3 -18 24 -35

-35 -18 -3 4 12 24