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KENDRIYA VIDYALAYA NTPC RIHAND NAGAR

By

Mohammad Rizwan (H.M.)

Class – IV MATHEMATICS

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6.Addition and Subtraction

6.1 Addition.

Study the following example

2 7 1 2

+ 1 5 1 6

_______

Add ones

2 1 7 2

+ 1 5 1 6

_ 8_

Step 1

Add tens

2 1 7 2

+ 1 5 1 6

_ 8 8_

Step 2

Add hundreds

2 1 7 2

+ 1 5 1 6

_ 6 8 8_

Step 3

Add thousands

2172

+1516

_ 3688_

Step 4

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Exercise.

Copy the sums in your notebook and add.

3 4 7 2

+ 2 1 2 0

________

3 5 6 7

+ 2 4 1 2

________

2 4 1 3 5

+ 4 2 5 1

__________

3. 4 1 0 3

+ 1 2 9 2

________

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6.2 Addition with regrouping.

Study the example.

3 2 5 7

+1 3 1 8

_______

Add thousands

1

3 2 5 7

+ 1 3 1 8

_______

Step 4

Add ones

3 2 5 7

+ 1 3 1 8

______ _

Step 1

Add hundreds

1

3 2 5 7

+ 1 3 1 8

_______

Step 3

Add tens

1

3 2 5 7

+ 1 3 1 8

_______

Step 2

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Check for Addition.

1 1

4 1 3 7 5

+ 2 4 1 2

+ 1 0 3 4

4 4 8 2 1

1 1

4 1 3 7 5

+ 2 4 1 2

+ 1 0 3 4

4 4 8 2 1

same

We can check the sum obtained by adding up and down.The sum in both

the cases should be the same. For instance.

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Subtraction

2 7 1 2

- 1 5 1 6

_______

Sub ones

3 7 5 6

-1 5 3 2

_ 4_

Step 1

Subtract tens

3 7 5 6

- 1 5 3 2

_ 2 4_

Step 2

Subtract hundreds

2 1 7 2

+ 1 5 1 6

_ 6 8 8_

Step 3

Subtract thousands

2172

+1516

_ 3688_

Step 4

Subtract hundreds

3 7 5 6

- 1 5 3 2

_ 2 2 4_

Step 3

Subtract thousands

3 7 5 6

- 1 5 3 2

2 2 2 4

Step 4

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Exercise.

4.

4 9 9 8

- 2 1 2 7

________

1.

1 3 4 7 7

2 0 7 5

______

3.

2.

7 9 6 5

-2 7 2 4

_ _

3 9 5 8 6

5 1 2 5

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Check for Subtraction.

Example:

4 3 6 8

1 2 3 4

3 1 3 4

Check:

3 1 3 4

+ 1 2 3 4

4 3 6 8

difference

smaller number

greater number

To check the correctness of subtraction, we add the difference to get the

smaller number and see whether the sum obtained is equal to the greater

Number. If so, the solution is is correct, otherwise not.

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Subtraction with regrouping

Study the example.

5 6 3 8

2 1 8 9

2 18

5 6 3 8

2 1 8 9

9

Step 1

1.

Step 2

5 12

2 18

5 6 3 8

- 2 1 8 9

4 9

Step 3

5 12

2 18

5 6 3 8

- 2 1 8 9

4 4 9

Step 4

5 12

2 18

5 6 3 8

- 2 1 8 9

3 4 4 9

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Exercise.�Copy the sums in your notebook and Add or�Subtract.Also, check the solution.

1.

7 6 4

+ 4 8 5

2.

6 4 7 6

+ 1 9 4 3

3.

6 2 8

- 4 8 5

4.

6 3 0 7

- 4 1 6 6

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Addition and subtraction together

1. Simplify: 329-118+235

3 2 9

1 1 8

2 1 1

Step 1

2 1 1

+ 2 3 5

4 4 6

Step 2

Thus, 329-118+235= 446

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Exercise 6.3

Simplify:

637- 452 + 315 = _____________
837 + 3043 - 413=_____________