Representing tenths and hundredths as fractions and decimals on diagrams

Home learning focus

In today's lesson, you will learn how to represent tenths and hundredths as fractions and decimals on number lines and other diagrams.

This lesson includes:

  • a learning summary
  • two activities

Created in partnership with Whizz Education.

Learn

Tenths and hundredths can be represented as fractions and decimals in a variety of diagrams.

Hundred squares

A hundred square is a grid divided into 100 squares. You can shade in squares to show fractions and decimals.

If a fully shaded hundred square is equivalent to a whole one, look at the hundred square below to see how one hundredth and one tenth are represented.

Number lines

You can also represent tenths and hundredths on a number line.

Look carefully at the number line intervals so you can work out the value of each marked line.

Look at the number line below. Here, the number line goes from 0 to 1 with ten intervals between them. You can use this information to work out that each interval on the number line equals 0.1.

You can also mark in between the intervals. Look at 0.08 and 0.55.

Place value charts

Another way to represent tenths and hundredths is a place value chart.

Look at the place value chart below. There are four tenths and two hundredths.

Four tenths = ⁴⁄₁₀ = 0.4

and

Two hundredths = ²⁄₁₀₀ = 0.02

You can write this as ⁴²⁄₁₀₀ = 0.42 and say 'forty-two hundredths'.

Practise

Activity 1

Number lines

Grab a pen and paper, and use a ruler to draw a number line. Write 0 and 1 at either end and mark ten intervals in between.

1.Label the following values on your number line.

  • five tenths
  • 0.35
  • ⁴⁄₁₀₀
  • sixty-nine hundredths
  • ⁸⁄₁₀

2. Explain why five tenths on the number line is the same as fifty hundredths.

Finished? Check your answers here.

Activity 2

Worksheet: Decimals

Have a go at this worksheet from White Rose Maths to practise representing fractions and decimals on hundred squares, number lines and place value charts. You can print it out or write your answers on a piece of paper.

Year 7 - Decimals

There's more to learn

Have a look at these other resources around the BBC and the web.

KS3 Maths
BBC Bitesize Daily
Bitesize Support
11 - 14 Maths
KS3 English
Fact or Fake