 # Addition of Integers – Definition, Rules, Examples | How to Add Integers?

Are you facing any trouble in understanding the concept of Adding Integers? If so, don’t worry as we have covered everything on how we can add two integers. Go through the entire article to be well versed with details like Adding Integers Definition, Rules, Steps for Integers Addition. Furthermore, you can have an insight on the Addition of Integers Examples with Answers for a better understanding of the concept.

## What is an Integer?

An integer is a whole number (can have a positive or a negative sign) that completes itself. An integer can never be a fraction number.

There are various methods to find the addition of integers such as the Concrete Method, Number Line Method, Absolute Value Method. We have explained how to add integers using the Absolute Value Method in detail.

Absolute Value: Absolute value is the magnitude of a real number or a whole number irrespective of its sign or its relation with other values.

In general, there are three possibilities while adding integers. They are as follows

• The addition between two positive numbers
• The addition between two negative numbers
• The addition between a positive number and a negative number

Now that we know what absolute value is, let’s see how we can use this method to add integers. Here in this method, we have to keep two rules in our mind as mentioned below.

Rule 1: If the sign of both the integers is the same you have to add the absolute value and take the same sign for the result.

Rule 2: If the sign of both the integers is different you have to subtract the absolute value of the integers and take the sign of the integer having of larger absolute value as the result.

Example 1:

Add two positive integers (4) and (5)

Solution:

(4) + (5) = 9

Here in the above example, we took 2 integers having positive sign so we can just simply add both integers and the result will also be positive

Example 2:

Add two negative integers (-4) & (-5)

Solution:

(-4) + (-5) = -9

Here in the above examples, we took 2 integers negative same sign so we can just simply add both integers and the result will also be negative.

Example 3:

Solution:

(4) + (-7) = -3

Here both integers are having different signs so we have to subtract the absolute value of the numbers. So here the absolute value of (4) is (4) and (-7) is (7). Now we have to subtract 7 from 4 which is 3.

According to our rule, the number with the largest absolute value is going to determine the sign of the result. So here (-7) is having the largest absolute value so the result is going to be negative.

Example 4:

Add integers be (-4) + (7)?

Solution:

(-4) + (7) = 3

Here both integers are having different signs so we have to subtract the absolute value of the numbers. So here the absolute value of (-4) is (4) and (7) is (7). Now we have to subtract 7 from 4 which is 3.

According to our rule, the number with the largest absolute value is going to determine the sign of the result. So here (7) is having the largest absolute value so the result is going to be positive.

### FAQs on Addition of Integers

1. When two positive integers are added together, then what is the sign of resulted value?

When two positive integers are added together, is the sum of two integers with a positive sign.

2. What are the rules for Adding Integers?

Rules for Addition of Integers is as follows

• When two integers with positive signs are added the result will also have a positive sign.
• When two integers with one positive and negative sign are added resultant sign is the value of integer having the largest value.
• When two integers with negative signs are added the result will also have a negative sign.

3. What is th result when integers 6 and -3 are added?

When integers 6 and -3 are added the sum is 6+(-3) i.e. 3

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