5.2.2
Written Methods for Subtracting Large Numbers
Subtracting Numbers with More than 4 Digits
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.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Column method
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.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Start at the 'ones'
Start at the 'ones'
- Start by subtracting from the 'ones' column.
- The 'ones' column has the calculation 2 − 1 = 1.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Next, you subtract the 'tens'
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.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Borrowing
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'.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
After you've 'borrowed'
After you've 'borrowed'
- Now you can complete the subtraction in the 'tens' column.
- The 'tens' column now has the calculation 10 − 1 = 9.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Now subtract the 'hundreds'
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.
,h_400,q_80,w_640.png)
,h_400,q_80,w_640.png)
Lastly, subtract the 'thousands'
Lastly, subtract the 'thousands'
- Finally, subtract from the 'thousands' column.
- The 'thousands' column has the calculation 7 − 3 = 4.
1Year 3 - Number
1.1Number & Place Value
1.2Addition & Subtraction
1.3Multiplication & Division
2Year 3 - Measurement
2.3Volume & Capacity
3Year 3 - Geometry
3.2Properties of Shapes
3.3Straight Lines
4Year 3 - Statistics
4.1Statistics
5Year 4 - Number
5.1Number & Place Value
5.2Addition & Subtraction
5.3Multiplication & Division
6Year 4 - Measurement
7Year 4 - Geometry
7.1Properties of Shapes
7.2Perimeter & Area
7.3Position & Direction
8Year 4 - Statistics
Jump to other topics
1Year 3 - Number
1.1Number & Place Value
1.2Addition & Subtraction
1.3Multiplication & Division
2Year 3 - Measurement
2.3Volume & Capacity
3Year 3 - Geometry
3.2Properties of Shapes
3.3Straight Lines
4Year 3 - Statistics
4.1Statistics
5Year 4 - Number
5.1Number & Place Value
5.2Addition & Subtraction
5.3Multiplication & Division
6Year 4 - Measurement
7Year 4 - Geometry
7.1Properties of Shapes
7.2Perimeter & Area
7.3Position & Direction
8Year 4 - Statistics
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