**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.

**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.

**Question 1**

Find the sum of 25 and 27?

**Explanation**

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

In present case,

First, we add the values of the two integers, regardless of the negative sign:

25 + 27 = 52

Now we would assign the common sign to the answer,

In present case the common sign is ( + )

So, the sum of 25 and 27 is +52 or 52

**Question 2**

Find the sum of (-47) and (-52)?

**Explanation**

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

In present case,

First, we add the values of the two integers, regardless of the negative sign:

47 + 52 = 99

Now we would assign the common sign to the answer,

In present case the common sign is ( – )

So, the sum of (-47) and (-52) is -99

**Question 3**

Find the sum of 68 and -32?

**Explanation**

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.

In present case,

First we find the difference to the given integers i.e, 68 – 32 = 36

Now, we would assign the sign of the greater integer to the result.

In this case, 68 > 32

and the sign of 68 is ( + )

Hence, the sum of 68 and -32 is +36 or, 36

**Question 4**

Find the sum of -17 and 25?

**Explanation**

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.

In present case,

First, we find the difference to the given integers i.e, 25 – 17 = 8

Now, we would assign the sign of the greater integer to the result.

In this case, 25 > 17

and the sign of 25 is ( + )

Hence, the sum of -17 and 25 is +8 or, 8

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