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Watch: Adding or subtracting 10

This video explains how you can work out a calculation by adding or subtracting to 10 first.

Snoot and Fin use bridging through ten to add and subtract shells at the beach.

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Bridging through 10

Top tip

Adding by making 10 is also called bridging through 10.

Here's what to do:

  • Work out what you need to add to your first number to make ten.

  • Take this from your second number. What do you have left?

  • Add what is left to 10. That's your answer!

Top tip
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Example 1

Method 1

8 + 4 = ?

This can be solved by partitioning one of the numbers.

Here are two tens frames showing 8 orange counters.

2 10 frames with 8 counters in one

Here are 4 yellow counters which are going to be added to the 8 orange counters.

4 yellow counters

There are 2 empty spaces on the left hand ten frame.

8 + 2 = 10

We have used 2 of the yellow counters to make 10.

There are 2 yellow counters left over that are added to the second ten frame.

10 + 2 = 12

This shows 8 + 4 = 12

12 shown on aten frame. 10 + 2
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Method 2

The same calculation can be solved using the part-whole model.

4 can be split into 2 and 2.

8 plus 4 = 4 is split into 2 and 2

2 can be added to 8 to make 10.

8 + 2 = 10

Then the 10 can be added to the other 2 to make 12.

10 + 2 = 12

Which means 8 + 4 = 12

8 plus 4 equals  8 plus 2 equals 10 plus 10 plus 2 equals 12
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Example 2

7 + 4 = ?

Start by working out what you need to add to 7 to make 10.

7 + ? = 10

The answer is 3.

Take this answer away from the second number in the calculation.

4 - 3 = 1

Add this answer on to 10.

10 + 1 = 11

So:

7 + 4 = 11.

This can be shown as a part-whole model like this.

7 plus 4 shown with the 4 split into 3 and 1
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Activities

Quiz 1

Have a go at these quizzes to put what you've practised into action.

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Quiz 2

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Play our fun maths game Guardians: Defenders of Mathematica. game

Use your times tables and more maths skills to defeat monsters and reclaim the Kingdom of Mathematica

Play our fun maths game Guardians: Defenders of Mathematica
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More on Adding and subtracting

Find out more by working through a topic