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subtraction

Subtraction on a number line

Use jumps, bridges through tens and labelled landings.

Quick answer

Subtraction on a number line means using a line with numbers to help you take away. You start at the bigger number and jump backwards to find the answer.

Learning outcome

By the end of this page, you will be able to use a number line to subtract numbers by making jumps backwards from the bigger number. Success signs:
  • You can show subtraction by jumping backwards on a number line
  • You can subtract numbers up to 20 using a number line
  • You can solve subtraction problems by counting backwards
  • You can explain how to subtract using a number line to someone else

Why this matters

Subtraction on a number line helps you understand how taking away works. It's useful for:
  • Buying toys and counting change
  • Playing games and scoring points
  • Sharing snacks with friends
  • Measuring how much time has passed
  • Planning journeys and counting steps
This skill helps you solve problems in real life, like "I had 10 cookies and ate 3. How many are left?" You can use your number line to find out!

How it works

Subtracting on a number line is like a backwards journey. Here's how to do it:
  1. Find the bigger number on the number line
  2. Start at that number
  3. Jump backwards (to the left) by the amount you're subtracting
  4. Count each jump carefully
  5. Land on the answer

Examples you can see

Let's try a simple subtraction: 7 - 3 Step 1: Find 7 on the number line. Step 2: Start at 7. Step 3: Jump back 3 times.
  • Jump 1: 7 → 6
  • Jump 2: 6 → 5
  • Jump 3: 5 → 4
Step 4: You land on 4. So, 7 - 3 = 4. Here's another example: 12 - 5 Step 1: Find 12 on the number line. Step 2: Start at 12. Step 3: Jump back 5 times.
  • Jump 1: 12 → 11
  • Jump 2: 11 → 10
  • Jump 3: 10 → 9
  • Jump 4: 9 → 8
  • Jump 5: 8 → 7
Step 4: You land on 7. So, 12 - 5 = 7.

Try it as a mini adventure

Adventure: The Treasure Hunt You are on a treasure hunt in a magical garden! You start at the big tree, which is number 15. You need to find a treasure chest by jumping backwards on your number line. Your treasure hunt clues:
  • Clue 1: Start at 15
  • Clue 2: Jump back 4 steps
  • Clue 3: What number do you land on?
Step 1: Find 15 on the number line. Step 2: Start at 15. Step 3: Jump back 4 times.
  • Jump 1: 15 → 14
  • Jump 2: 14 → 13
  • Jump 3: 13 → 12
  • Jump 4: 12 → 11
Step 4: You land on 11. So, 15 - 4 = 11. The treasure is hidden at number 11!

Common mistakes

  • Mistake: Jumping forwards instead of backwards
    Why it happens: Children get confused about direction and think they should move towards the bigger number.
    Fix: Always remember to jump backwards (to the left) when subtracting.
  • Mistake: Counting the starting number as a jump
    Why it happens: Children think they should count the first number they land on as a jump.
    Fix: The starting number doesn't count as a jump. Only count the backwards steps.
  • Mistake: Forgetting to count each jump carefully
    Why it happens: When jumping quickly, children lose track of how many steps they've taken.
    Fix: Count each jump out loud or use your fingers to keep track.
  • Mistake: Jumping too far or too small
    Why it happens: Children may not know the exact number of steps to take.
    Fix: Practice counting backwards from any number to get better at estimating jumps.

Parent and carer guide

Help your child understand subtraction on a number line by:
  • Using a real number line drawn on the floor or wall for hands-on learning
  • Playing a subtraction game where you take turns jumping backwards
  • Practicing with everyday examples like "You had 8 apples and ate 3. How many are left?"
  • Using objects like counters or toys to show the subtraction before jumping
  • Reinforcing that subtraction means going backwards
In just 5-10 minutes, you can:
  1. Draw a simple number line from 0 to 20
  2. Choose a subtraction problem like 10 - 4
  3. Practice jumping backwards together
  4. Check the answer by counting forwards from the result
Remember: Don't worry if your child makes mistakes at first. Jumping backwards is tricky, but with practice, it gets easier!

Practice questions

  1. What is 9 - 3?
  2. What is 14 - 6?
  3. What is 11 - 5?
  4. What is 16 - 8?
  5. What is 13 - 7?
  6. What is 10 - 2?
  7. What is 15 - 9?
  8. What is 12 - 4?
  9. What is 17 - 10?
  10. What is 19 - 11?
Answers:
  1. 6
  2. 8
  3. 6
  4. 8
  5. 6
  6. 8
  7. 6
  8. 8
  9. 7
  10. 8

FAQ

What is subtraction on a number line?

Subtraction on a number line means using a line with numbers to help you take away. You start at the bigger number and jump backwards to find the answer.

How do I know which way to jump?

You always jump backwards (to the left) on the number line when subtracting. This shows you're taking away.

Can I use a number line for big numbers?

Yes! You can use a number line for any numbers, even up to 100 or more. Just make sure it's long enough for your problem.

What if I don't have a number line?

You can draw your own number line, use a ruler, or even count on your fingers. The important thing is to move backwards.

Why is subtraction on a number line useful?

It helps you see subtraction visually, makes it easier to understand, and helps you check if your answer is right. It's also great for learning bigger subtraction problems!