**Addition of Integers**

**Rule 1** – While adding two integers with the same sign, we add their values regardless of their signs, and give the sum, their common sign.

**Adding two numbers with positive sign**

For example, to add 15 and 30, both of which have positive sign, we would add the values

15 + 30 = 45.

The sum 45, would be given their common sign, + and the number would be +45

**Adding two negative numbers**

For example, to add -5 and -20, both of which have negative sign, we would add the values 5 and 20, ignoring their signs

5 + 20 = 25.

The sum 25, would be given their common sign, – and the number would be -25

**Rule 2** – When we have to add two integers with different signs ( one is positive and other is negative), we find their difference, regardless of their signs, and give the sign of the integer with the greater value to such difference.

**Adding two integers with different signs – Positive number greater than negative number**

For example, to add -5 and +20, two integers with different signs ( one is positive and other is negative), we find their difference,

20 – 5 = 15.

The difference 15, would be given the sign of the integer with the greater value, which is 20 with a positive sign, and the answer would be +15.

**Adding two integers with different signs – Negative number greater than Positive number**

For example, to add -35 and +20, two integers with different signs ( one is positive and other is negative), we find their difference,

35-20 = 15.

The difference 15, would be given the sign of the integer with the greater value, which is 35 with a negative sign, and the answer would be – 15.

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