Adding integers is one of the important operations on integers, among the four fundamental operations on integers.

**1. When the integers have like signs that is, when both the integers to be added are either positive or a negative.**

Add their absolute values and assign the same sign to the sum.

**(i)** Add: +53 and +115

Here, both the integers to be added are positive and their absolute values are 53 and 115 respectively.

The sum of their absolute values = 53 + 115 = 168

Therefore, (+53) + (+115) = +168

**(ii)** Add: -31 and -93

Here, both the numbers to be added are negative and their absolute values are 31 and 93 respectively.

The sum of their absolute values = 31 + 93 = 124

Therefore, (-31) + (-93) = -124

**2. When
the integers have unlike signs that is, one is positive and the other is
negative. **

Determine the difference of their absolute values and assign the sign of integer of greater absolute value.

**(i)** Add: + 47 and -27

The absolute values of +47 and -27 are 47 and 27 respectively; and their difference = 47 – 27 = 30.

Since, the integers with greater absolute value is 47 and it sign is ‘+’

Therefore, (+47) + (-27) = +30

**(ii)** Add: -66 and +24

The absolute values of -66 and +24 are 66 and 24 respectively; and their difference = 66 - 24 = 42.

Since, the integers with greater absolute value is 66 and it sign is ‘-’

Therefore, (-66) + (+24) = -42

**(iii)** Add: +253 and – 349

The absolute values of +253 and -349 are 253 and 349 respectively; and difference of their absolute values = 349 - 253 = 96

Since, the integers with greater absolute value is 349 and it sign is ‘-’

Therefore, (+253) + (-349) = -96.

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