ADD AND SUBTRACT INTEGERS

Adding Integers

Rule 1 :

Positive + Positive = Add

The result will be positive.

Rule 2 :

Negative + Negative = Add

The result will be negative.

Subtracting Integers

Rule 1 : 

Negative + Positive = Subtract

Take sign of number with largest absolute value.

Example :

-3 + 5 = 2

Rule 2 : 

Positive + Negative = Subtract

Take sign of number with largest absolute value.

Example :

3 + (-5) = -2

Example 1 :

Evaluate :

5 + 8

Solution :

Since both the given numbers are positive, we have to add them and the result is positive.

5 + 8 = 13

Example 2 :

Evaluate :

- 3 - 6

Solution :

Since both the given numbers are negative, we have to add them and the result is negative.

- 3 - 6 = -9

Example 3 :

Evaluate :

-3 + 5

Solution :

Since the given two numbers are having different signs, subtract the smaller from larger and take the sign of the larger number to the answer.

- 3 + 5 = 2

Example 4 :

Evaluate :

5 - 8

Solution :

Since the given two numbers are having different signs, subtract the smaller from larger and take the sign of the larger number to the answer.

5 - 8 = -3

Example 5 :

Add 2489, 9605 and 3814.

Solution :

2,489 + 9,605 + 3,814

Step 1 :

Add the digits in ones place.

9 + 5 + 4 = 18

Write 8 as a result in ones place and carry 1 to tens place.

Step 2 :

Add the digits in tens place.

1 + 8 + 0 + 1 = 10

Write 8 as a result in tens place and carry 1 to hundreds place.

Step 3 :

Add the digits in hundreds place.

1 + 4 + 6 + 8 = 19

Write 9 as a result in hundreds place and carry 1 to thousands place.

Step 3 :

Add the digits in thousands place.

1 + 2 + 9 + 3 = 15

Therefore,

2,489 + 9,605 + 3,814 = 15,908

Example 6 :

Subtract 2341 from 8623.

Solution :

8623 - 2341

Step 1 :

Subtract the digits in ones place.

3 - 1 = 2

Write 2 as a result in ones place.

Step 2 :

Subtract the digits in tens place.

2 - 4 = ?

Since 2 is less than 4, you can't subtract 4 from 2.

So, borrow 1 from the digit 6 in hundreds place of 8623 and make 2 in tens place as 12. Then, subtract 4 from 12.

12 - 4 = 8

Step 3 :

Subtract the digits in hundreds place.

5 - 3 = 2

Write 2 as a result in hundreds place.

Step 4 :

Subtract the digits in thousands place.

8 - 2 = 6

Write 2 as a result in thousands place.

Therefore,

8,623 - 2,341 = 6,282

Example 7 :

Add 7957, 6438 and 4539.

Solution :

7,957 + 6,438 + 4,539

Therefore,

7,957 + 6,438 + 4,539 = 18,934

Example 8 :

Add 18534, 5879 and 6261.

Solution :

18,534 + 5,879 + 6,261

Therefore,

18,534 + 5,879 + 6,261 = 30,674

Example 9 :

Subtract 5011 from 7412.

Solution :

7,412 - 5,011

Therefore,

7,412 - 5,011 = 2,401

Example 10 :

Subtract 8534 from 25986.

Solution :

25,986 - 8534

Therefore,

25,986 - 8,534 = 17,452

Example 11 :

Subtract 3907 from 4210.

Solution :

4,210 - 3,907

Therefore,

4,210 - 3,907 = 303

Example 12 :

Subtract 3847 from 5410.

Solution :

5,410 - 3,847

Therefore,

5,410 - 3,847 = 1,563

Example 13 :

Add 56051 and 232342.

Solution :

56,051 + 232,342

Therefore, 

56,051 + 232,342 = 288,393

Example 14 :

Add 725708 and 310562.

Solution :

725,708 + 310,562

Therefore,

725,708 + 310,562 = 1,036,270

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