5.2.2

Written Methods for Subtracting Large Numbers

Test yourself

Subtracting Numbers with More than 4 Digits

When subtracting larger numbers, you use written methods to show your workings. You should use the column method for subtracting. You use the column method slightly differently when subtracting.

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Column method

  • Line up the place value in the two numbers you are trying to subtract.
    • I'm trying to do 7,401 − 3,111 here.
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Start at the 'ones'

  • Start by subtracting from the 'ones' column.
    • The 'ones' column has the calculation 2 − 1 = 1.
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Next, you subtract the 'tens'

  • Next, you move to the 'tens' column.
    • The 'tens' column has the calculation 0 − 1.
    • You cannot write the answer to 0 − 1 in the column.
    • You need to use 'borrowing' to find your answer.
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Borrowing

  • 'Borrowing' is when you borrow 1 from the next biggest column.
    • In this example, you need to borrow 1 'hundred' from 4 'hundreds'.
    • Borrowing 1 'hundred' from 4 'hundreds' leaves you with 3 'hundreds' and 10 'tens'.
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After you've 'borrowed'

  • Now you can complete the subtraction in the 'tens' column.
    • The 'tens' column now has the calculation 10 − 1 = 9.
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Now subtract the 'hundreds'

  • Next, subtract from the 'hundreds' column.
    • The 'hundreds' column has the calculation 3 − 1 = 2.
    • The calculation in the 'hundreds' column is 3 − 1 and NOT 4 − 1.
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Lastly, subtract the 'thousands'

  • Finally, subtract from the 'thousands' column.
    • The 'thousands' column has the calculation 7 − 3 = 4.

Jump to other topics

1Year 3 - Number

2Year 3 - Measurement

3Year 3 - Geometry

4Year 3 - Statistics

5Year 4 - Number

6Year 4 - Measurement

7Year 4 - Geometry

8Year 4 - Statistics

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