## What you need to know

Things to remember:

• The “thousands” go on the left of the decimal.
• The “hundreds” go on the right of the decimal.
• If there are only thousands, there will be no decimal!

We will use converting from kilometres to metres to help us see how we can convert from metres to kilometres.

“Convert 5.9km to m”

Let’s split this into the whole number and the decimal

5km = 5000m

0.9km = 900m

$$5.9km =5km+ 0.9km = 5000m + 900m = 5900m$$

If we flip this around to start with km, then we will notice something nice.

$$5900m =5000m + 900m = 5km + 0.9km = 5.9km$$

We can see that the thousands become a “whole number” of kilometres, and the hundreds become the decimal part.

$$7600m =7000m + 600m = 7km+0.6km = 7.6km$$

$$1300m =1000m + 300m = 1km+0.3km 1.3km$$

$$6600m =6.6km$$

$$2400m =2.4km$$

If we only have thousands, then there won’t be a decimal!

$$1000m = 1km$$

$$5000m = 5km$$

$$9000m = 9km$$

## Example Questions

#### Question 1: Convert 3000m into kilometres.

$$9800m =9000m + 800m = 9km+0.8km = 9.8km$$