You may already be familiar with converting between metric units.

Let's review this now so you can be sure of what this means.

**e.g. What is 17 cm in mm?**

We know that there are 10 mm in 1 cm, so we have to **multiply by 10**.

**17 × 10 = 170 mm**

**How to Convert Algebraic Units**

When we are dealing with quantities as algebra, the same rules will apply.

We still need to use **conversion factors**, but we just have to calculate them in terms of the **original algebraic quantity**.

Let's explore an example to see how to do this.

**e.g. Convert K cm into mm. **

We know that to change cm into mm, we need to **multiply by 10**.

This means that **K cm = 10 K mm**.

Makes sense, doesn't it?

Let's try another, more complex, example now.

**e.g. Convert P m/s into km/h.**

This is a two-step problem as we have** two** units of measurement present: distance (m/km) and time (s/h).

1) We know that there are 3600 seconds in 1 hour.

So P metres = 1 second

3600P metres = 1 hour

2) We know there are 1000 metres in a kilometre.

3600 P metres = 1 hour

3.6P km = 1 hour

Therefore, **P m/s = 3.6P km/hr**.

In this activity, you will practise converting algebraic amounts between different units by finding and applying one or more conversion factors.