 # Addition of Literals – Introduction, Definition, Properties, Examples | How to Perform the Addition of Literals?

Addition of Literals: Basically, Literals are employed for indicating the Integers. The addition of Literal accepts every property of the addition of numbers. Suppose we are asked to find the addition of two numbers we follow the properties such as Commutative, Associative, and Identity. So this article gives the students of 6th Grade Math an easy and simple manner to perform the Addition of Literals.

## Addition of Literals – Definition

The process of adding two or many Literals to evaluate the sum is known as the Addition of Literals. It is also referred to as Summation of Literals.

### Properties of Addition of Literals

Let us see the properties to perform the Addition of Literals as shown Below

1. Commutative Property: If x and y are two Literals
x +y =y +x
1+p = p +1
According to this Law, the output of mathematical manipulation must be similar if both the literals are changed(i.e. it should not impact the result).
2. Associative Property: If x , y and Z are three Literals
(x + y) + z = x + (y + z)
(1+p) +q = 1 + (p +q)
This associative property permits us to perform addition or multiplication in any way the numbers are ordered. Because of this Associative Property multiplying the numbers becomes simple and quick. This property is employed and possible with the Addition and Multiplication of Literals.
3. Identity Property:
b + 0 = b = 0 + b
3+0 = 3 = 0 +3
It is often called as a Additive Identity.

### How to Add Literal Numbers?

Let us see the various scenarios of Performing the  basic Addition of Literals as shown Below
1). Performing the Addition of Similar Literal Numbers
(i). x +x +x +x+ x = 4x
(ii). y +y+ y+ y +y+ y = 5y
(iii). h +h +h+ h+ h+ h+ h+ h = 7h
(iv). m+ m+ m+ m +m +m +m +m +m = 9m
2). Performing the Addition of Dissimilar Literal Numbers
(i). a+ b +c
(ii). p+ q+ r+ s+ t
(iii). m+ n +o +r + u +v
(iv). g+ h +i +j +l +o +e
Here the Literals are dissimilar and the Values of Literals are Unknown. Hence, we are unable to obtain the sum of Literal values. So, the Addition of Literals is conveyed in the form of Algebraic Expression.

Example 1.
What is the summation of 7x and 24y?
Solution:
Given Literals are 7x and 24y

Since both the values of literals are unknown we can’t figure out the summation of those literals thus we will express it in algebraic expression form
Therefore Addition of Literals 7x and 24y is 7x+ 24y.
Example 2.
What is the result obtained when 5p is added for the sum of p and q
Solution:
Given Literals are 5p, p, and q
Since both the values of literals are unknown we can’t figure out the summation of those literals thus we will express it in algebraic expression form. However, in this case, two similar literals are there i.e. 5p and p so we will sum them and keep q as it is in the algebraic expression
5p + p+ q
= 6p + q
Example 3.
State the expression when p is added for 870?
Solution:
Here given data can be denoted in expression as p + 870

#### FAQ’s on Addition of Literals

1). What are the various types of Laws present?
There are three types of Laws Commutative, Associative, and Identity

2). When 3+ 4  = 4 + 3 is an Example for which Property?
It seems to be as x +y =y +x
Hence The Given Expression 3+ 4 = 4 +3  is an Example of Commutative Property.

3). When 7+ (4+1) =  (7+4) +1 is an Example for which Property?
It seems to be as (x + y) + z = x + (y + z)
Hence The Given Expression 7+ (4+1) =  (7+4) +1 is an Example for Associative Property.

4). What is the Example for Identity Property?
0+2 is an Example of Identity Property.
Adding zero for a given number results in the Offered Number.

5). Does 9 +(2+0) = (9+2) +0 is an Example for Associative Property ?
Yes of course
9 +(2+0) = (9+2) +0
9 + 2 = 11 +0
11 = 11
Since Both L.H.S  R.H.S are equal

6). How can we represent when the sum of p and q is added with the number 4?
We can represent the sum of p and q added to 4 as (p+ q)+4.

7). What do the Literals generally indicate?
A literal is a sign to indicate the constant value in the source code.

Scroll to Top