Everyday maths 2 (Wales)

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

# 1.1 Expressing a remainder as a decimal

To split a prize of £125 between 5 friends you would do this calculation:

• £125 ÷ 5 and get the answer £25.

This is a convenient, exact amount of money. However, often when you perform calculations, especially those involving division, you do not always get an answer that is suitable for the question.

For example, if there were 4 friends who shared the same prize we would do the calculation £125 ÷ 4 and get the answer £31 remainder £1. If we did the same calculation on a calculator you would get the answer £31.25, the remainder has been converted into a decimal. Let’s look at how to express the remainder as a decimal.

You can write one hundred and twenty five pounds in two different ways: £125 or £125.00. Both ways show the same amount but the second way allows you to continue the calculation and express it as a decimal.

Figure 2 Expressed as a decimal: 125 ÷ 4

We can use the same principal with any whole number, adding as many zeros after the decimal point as required. Look at the following example.

A teacher wants to share 35 kg of clay between 8 groups of students. How much clay will each group get?

Figure 3 Expressed as a decimal: 35 ÷ 8

You can see that each group would get 4.375 kg of clay.

## Activity 3: Expressing a remainder as a decimal

Work out the answers to the following without using a calculator.

1. 178 ÷ 4

2. 212 ÷ 5

3. 63 ÷ 8

4. 227 ÷ 4

1. 44.5

2. 42.4

3. 7.875

4. 56.75

FSM_2_CYMRU

### Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371