Subtraction Using An Expanded Method (part 5 of 5)

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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 5 of 5: How to deal with zeros when subtracting.

Transcript of Subtraction Using An Expanded Method (part 5 of 5)

Page 1: Subtraction Using An Expanded Method (part 5 of 5)

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 5 of 5: How to deal with zeros when subtracting.

Page 2: Subtraction Using An Expanded Method (part 5 of 5)

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 5 of 5: How to deal with zeros when subtracting.It is important that you have already viewed and understood parts 1, 2, 3

& 4 before you go any further.

Page 3: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286

700

200

0

80

0

6_

Page 4: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds

700

200

0

80

0

6_

600

Page 5: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.

700

200

0

80

0

6_

100 600

Page 6: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens

700

200

0

80

0

6_

100 600

90

Page 7: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

700

200

0

80

0

6_

100 10 600

90

Page 8: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

700

200

0

80

0

6_

100 10 600

4

90

The units can then be subtracted.

Page 9: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

700

200

0

80

0

6_

100 10 600

4

90

Followed by the tens.

10

Page 10: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

700

200

0

80

0

6_

100 10 600

4

90

10

And finally the hundreds.

400

Page 11: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

Page 12: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

Page 13: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

Page 14: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

Firstly, an adjustment is made from the hundreds

6

Page 15: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

Firstly, an adjustment is made from the hundreds to the tens

6 10

Page 16: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

Firstly, an adjustment is made from the hundreds to the tens. Then from the tens

6 10

9

Page 17: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

Firstly, an adjustment is made from the hundreds to the tens. Then from the tens to the units.

10

9

106

Page 18: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

The units can then be subtracted,

10

9

10

4

6

Page 19: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

The units can then be subtracted, followed by the tens

10

9

10

1 4

6

Page 20: Subtraction Using An Expanded Method (part 5 of 5)

How to deal with zeros when subtracting, for example 700 – 286First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

700

200

0

80

0

6_

100 10 600

410400 + + = 414

90

To complete the sum, add up the 3 answers to give a final total.

7 0 0

2 8 6_

The units can then be subtracted, followed by the tens and finally the hundreds.

10

9

10

4 1 4

6

Page 21: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236

Page 22: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236

800

200

0

30

3

6_

Page 23: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds

800

200

0

30

3

6_

700

Page 24: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.

800

200

0

30

3

6_

700 100

Page 25: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens

800

200

0

30

3

6_

700 100

90

Page 26: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

800

200

0

30

3

6_

700 100

90

13

Page 27: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

800

200

0

30

3

6_

700 100

90

13 The units can then be subtracted.

7

Page 28: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

800

200

0

30

3

6_

700 100

90

13

7

Followed by the tens.

60

Page 29: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

800

200

0

30

3

6_

700 100

90

13

760

And finally the hundreds.

500

Page 30: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

Page 31: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

Page 32: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

Page 33: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

Firstly, an adjustment is made from the hundreds

7

Page 34: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

Firstly, an adjustment is made from the hundreds to the tens

7 10

Page 35: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

Firstly, an adjustment is made from the hundreds to the tens. Then from the tens

7 10

9

Page 36: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

Firstly, an adjustment is made from the hundreds to the tens. Then from the tens to the units

7 10

9

13

Page 37: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

The units can then be subtracted,

10

9

13

7

7

Page 38: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

The units can then be subtracted, followed by the tens

10

9

13

6 7

7

Page 39: Subtraction Using An Expanded Method (part 5 of 5)

The same technique is used when there is just a zero in the tens column, for example 803 – 236First, an adjustment is made from the hundreds to the tens.Then, from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

800

200

0

30

3

6_

100 13 700

760500 + + = 567

90

To complete the sum, add up the 3 answers to give a final total.

8 0 3

2 3 6_

The units can then be subtracted, followed by the tens and finally the hundreds.

10

9

13

5 6 7

7

Page 40: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124

Page 41: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124

500

100 20

0

4_70

Page 42: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens

500

100 20

0

4_70

60

Page 43: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

500

100 20

0

4_70

60 10

Page 44: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

500

100 20

0

4_70

60 10 The units can then

be subtracted.

6

Page 45: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

500

100 20

0

4_70

60 10

640

The units can then be subtracted. Followed by the tens

Page 46: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

500

100 20

0

4_70

60 10 The units can then

be subtracted. Followed by the tens and then the hundreds. 640400

Page 47: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

Page 48: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

Page 49: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

Page 50: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

Firstly, an adjustment is made from the tens

6

Page 51: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

Firstly, an adjustment is made from the tens to the units

6 10

Page 52: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

6 10 The units can then be subtracted,

6

Page 53: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

6 10

4 6

The units can then be subtracted, followed by the tens

Page 54: Subtraction Using An Expanded Method (part 5 of 5)

Again, a similar technique is used when there is just a zero in the units column, for example 570 – 124First, an adjustment is made from the tens to the units

When this can be performed confidently, it can be simplified to a standard written method:

500

100 20

0

4_70

60 10

640400

To complete the sum, add up the 3 answers to give a final total.

+ + = 446

5 7 0

1 2 4_

6 10

4 4 6

The units can then be subtracted, followed by the tens and finally the hundreds

Page 55: Subtraction Using An Expanded Method (part 5 of 5)

That’s it for now......

For more help with your maths, try my book:

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