Decimals on a number line for juniors

Quick answer

Learning outcome

• You can show where 0.3, 0.6, and 0.9 are on a number line
• You can compare decimals like 0.4 and 0.7
• You can explain what 0.25 means using a number line
• You can find decimals between 0 and 2 on a longer number line

Why this matters

• When you're shopping and need to compare prices like £1.99 and £2.00
• When you're cooking and need to measure ingredients like 0.5 litres of milk
• When you're playing games and need to track scores like 0.75 points
• When you're learning about money, time, and measurements

How it works

1. Look at the whole numbers around your decimal. For example, 0.3 is between 0 and 1.
2. Divide the space between those numbers into 10 equal parts. Each part is 0.1.
3. Count how many parts to the right of 0 your decimal is. For 0.3, it's 3 parts.
4. Mark your decimal at that point on the number line.

Examples you can see

1. 0.4 is between 0 and 1
2. Divide the space into 10 equal parts
3. Count 4 parts to the right of 0
4. Mark 0.4

1. 0.65 is between 0 and 1
2. Divide the space into 100 equal parts (because 0.65 has two decimal places)
3. Count 65 parts to the right of 0
4. Mark 0.65

1. 1.3 is between 1 and 2
2. Divide the space between 1 and 2 into 10 equal parts
3. Count 3 parts to the right of 1
4. Mark 1.3

Try it as a mini adventure

1. First, you must go to 0.2. Where do you go?
2. Then, you must go to 0.7. Where do you go?
3. Next, you must go to 1.5. Where do you go?
4. Finally, you must go to 0.99. Where do you go?

Common mistakes

• Mistake: Thinking 0.5 is bigger than 0.7 because 5 is bigger than 7.
  Why it happens: Looking at the digits instead of the decimal place value.
  Fix: Remember that 0.7 means 7 parts of 10, which is more than 5 parts of 10.
• Mistake: Placing 0.25 at the same spot as 0.2.
  Why it happens: Not understanding that 0.25 has more decimal places.
  Fix: Use a number line with more divisions, like 100 parts, to see 0.25 clearly.
• Mistake: Placing 0.4 between 0.3 and 0.5 instead of 0.3 and 0.6.
  Why it happens: Not counting the correct number of steps.
  Fix: Count carefully and check if your decimal is closer to 0 or 1.

Parent and carer guide

• Use a ruler or measuring tape to show how 10 equal parts make 1 whole
• Draw number lines together and mark decimals with stickers or drawings
• Play a game: "Guess the decimal" – you say a number between 0 and 1, and they mark it
• Use real-life examples like money or time to show decimals in action
• Don't worry if they make mistakes – they're learning!

Practice questions

1. Where would you place 0.6 on a number line from 0 to 1?
2. Which is bigger: 0.3 or 0.5?
3. Place 0.85 on a number line from 0 to 1.
4. Where would 1.2 go on a number line from 0 to 2?
5. Which decimal is halfway between 0 and 1?

1. 6 parts to the right of 0
2. 0.5 is bigger
3. 85 parts to the right of 0
4. 2 parts to the right of 1
5. 0.5

FAQ

What is a decimal?

A decimal is a way of showing parts of a whole number. For example, 0.5 means 5 parts out of 10 equal parts.

How do I know which decimal is bigger?

Look at the first digit after the decimal point. If they're the same, look at the second digit. For example, 0.6 is bigger than 0.4 because 6 is more than 4.

Why do we need decimals?

Decimals help us measure things more accurately. For example, your height might be 1.45 metres, or a bottle might hold 0.75 litres of water.

Can decimals go beyond 1?

Yes! Decimals can go beyond 1. For example, 1.5 means 1 whole and 5 parts of 10.

How can I practice decimals at home?

Use a ruler to find 0.3 or 0.7 of a metre. Use coins to show 0.5 or 0.25 of a pound. Or draw number lines and mark decimals.