subtraction using an expanded method (part 4 of 5)
TRANSCRIPT
![Page 1: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/1.jpg)
Subtraction Of Whole Numbers Using An Expanded Method
(the last step towards using a standard written method for subtraction)
For more maths help & free games related to this, visit: www.makemymathsbetter.com
Part 4 of 5: Subtraction with adjustment from the tens and the hundreds.
![Page 2: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/2.jpg)
Subtraction Of Whole Numbers Using An Expanded Method
(the last step towards using a standard written method for subtraction)
For more maths help & free games related to this, visit: www.makemymathsbetter.com
Part 4 of 5: Subtraction with adjustment from the tens and the hundreds.
It is important that you have already viewed and understood parts 1, 2 & 3 before you go any further.
![Page 3: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/3.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
600
300
40
70
5
8_
![Page 4: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/4.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment will first need to be made from the tens
600
300
40
70
5
8_
30
![Page 5: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/5.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment will first need to be made from the tens to the units
600
300
40
70
5
8_
30 15
![Page 6: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/6.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment will first need to be made from the tens to the units. The units can then be subtracted:
600
300
40
70
5
8_
30 15
7
![Page 7: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/7.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment then needs to be made from the hundreds
600
300
40
70
5
8_
30 15 500
7
![Page 8: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/8.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment then needs to be made from the hundreds to the tens
600
300
40
70
5
8_
30 15 130
500
7
![Page 9: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/9.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.An adjustment then needs to be made from the hundreds to the tens. The tens can then be subtracted:
600
300
40
70
5
8_
30 15 130
500
760
![Page 10: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/10.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.Finally subtract the hundreds:
600
300
40
70
5
8_
30 15 130
500
760200
![Page 11: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/11.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
600
300
40
70
5
8_
30 15 130
500
760200
Then add the numbers together to find the answer
+ + = 267
![Page 12: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/12.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
3 7 8_
6 4 5
![Page 13: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/13.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
3 7 8_
3
6 4 5
Firstly an adjustment is made from the tens
![Page 14: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/14.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
3 7 8_
3 15
6 4 5
Firstly an adjustment is made from the tens to the units.
![Page 15: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/15.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
7
3 7 8_
3 15
6 4 5
Firstly an adjustment is made from the tens to the units. Then, the units are subtracted
![Page 16: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/16.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
7
3 7 8_
6 4 55 3 15
Next, an adjustment is made from the hundreds
![Page 17: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/17.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
7
3 7 8_
6 4 55 3 15
13 Next, an adjustment is made from the hundreds to the tens
![Page 18: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/18.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
6 7
3 7 8_
6 4 55 3 15
13 Next, an adjustment is made from the hundreds to the tens. The tens are then subtracted.
![Page 19: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/19.jpg)
In some subtraction questions both the tens and the units digits to be subtracted are bigger than both the tens and the units digits you are subtracting from, for example: 645 - 378.
When this can be performed confidently, it can be simplified to a standard written method:
600
300
40
70
5
8_
30 15 130
500
760200 + + = 267
2 6 7
3 7 8_
6 4 55 3 15
13 Finally the hundreds are subtracted.
![Page 20: Subtraction Using An Expanded Method (part 4 of 5)](https://reader033.vdocuments.us/reader033/viewer/2022052906/55895d4fd8b42a543f8b4688/html5/thumbnails/20.jpg)
That’s it for now......
For more help with your maths, try my book:
mastering multiplication tableson amazon.com