**Add and subtract integers :**

- Whenever we have same signs for two numbers, we have to add those numbers.
- Whenever we have different signs for two numbers, we have to subtract the smaller number from greater number.

Always put greater number sign for the answer.

Let us see some example problems based on the above concept.

**Example 1 :**

Find the sum of (-34) + 50

**Solution :**

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 50aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 34aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa16aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 2 :**

Find the sum of 38 + (-5)

**Solution :**

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa+ 38aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 05aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaaa33aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 3 :**

Find the sum of -46 - 1

**Solution :**

Since the signs are same, we have to add the both numbers and put greater number sign.

aaaaaaaaaaaaaaaaaaaa- 46aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa- 01aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-47aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 4 :**

Find the sum of -45 + 9

**Solution :**

Since the signs are different, we have to subtract the smaller number from greater number and put greater number sign.

aaaaaaaaaaaaaaaaaaaa- 45aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa+ 09aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-36aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 5 :**

Find the sum of -12 + 7

**Solution :**

aaaaaaaaaaaaaaaaaaaaa- 12aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa+ 07aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa+05aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 6 :**

Find the difference of -8 - (-6)

**Solution :**

= -8 + 6

Since the signs are different, we have to subtract smaller number from greater number and and put greater number sign.

aaaaaaaaaaaaaaaaaaaaa- 8aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaa+ 6aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa----aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-02aaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 7 :**

Find the difference of 48 - (-31)

**Solution :**

= 48 + 31

Since the signs are same, we have to add the both numbers and put greater number sign.

aaaaaaaaaaaaaaaaaaaaa+48aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaa+31aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-----aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaa79aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

**Example 8 :**

Find the difference of -38 - 30

**Solution :**

Since the signs are same, we have to add the both numbers and put greater number sign.

aaaaaaaaaaaaaaaaaaaaa-38aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaaa-30aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-----aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaaa-68aaaaaaaaaaaaaaaaaaaaaaaaaaaaa

aaaaaaaaaaaaaaaaaaa------aaaaaaaaaaaaaaaaaaaaaaaaaaa

After having gone through the stuff given above, we hope that the students would have understood "Add and subtract integers".

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