Multiplication of Literals: The method of multiplying is the same as the manipulation of multiplying the integers. When we are questioned to perform the Multiplication of two numbers, we can use the properties like Commutative, Identity, and Associative to obtain the product simply. This article helps the 6th Grade Math students quickly and easily to do the Multiplication of Literals. Continue reading the below modules to learn about Multiplication of Literals Definition, Properties of Multiplication of Literals, Solved Examples illustrating How to Multiply Literal Numbers.
Multiplication of Literals – Definition
The process of Multiplying two or many Literals to evaluate the Product is known as the Multiplication of Literals. The product of several literals in a term is known as a literal factor.
Properties of Multiplication of Literals
To perform the Multiplication of Literals there are certain properties which are as shown below.
1. Commutative Property: When a and b are two Literals
a . b =b . a
3.2 = 2.3
varying the order of a literal factor won’t vary the product.
2. Associative Property: When x, y, and z are three Literals
(x .y).z = x.(y .z)
(3,2).1 = 1.(2.1)
3. Identity Property: when x is a Literal
x.1 = x = 1.x
s.1 = s = 1.s
where 1 is called a Multiplication Identity.
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How to Multiply the Literal Numbers?
There are various scenarios to Perform the normal Multiplication of Literals when Literals are Similar and Dissimilar which were as shown Below
1). Perform the Multiplication of Similar Literal Numbers
(i). Suppose m is a Literal Number, then multiply the Literal m with another Literal m i.e. (which specifies both Literals are similar). Then the Product of Two Literals is just stated as Exponentially
= m x m
= m 2
(ii). n x n x n x n = n4
(iii). O x O x O x O x O = O5
(iv). S x S x S x S x S x S= S6
2). Performing the Multiplication of Dissimilar Literal Numbers
In this case, we will see the Literals are of Dissimilar which gives us the Product of Literals. Since the Literals are Different there is no chance of Evaluating the product of Literals. So, simply write the product one after the other in a row. Let us see a few examples as shown below.
(i). p x q x r = pqr
(ii). e x f x c x v = efcv
(iii). m x n x o x r = mnor
Multiplying the Literals Examples with Answers
Example 1.
What is the value obtained when 8y and 24s are Multiplied?
Solution:
Given Literals are 8y and 24s.
So, when both are multiplied then (8y). (24s), then the result obtained is 192xy
Example 2.
What is the product value of y and 52?
Solution:
Given Literals are y and 52
When both are multiplied then (y). (52), then the result obtained is 52y.
Example 3.
What is the value when15 times s is added to r?
Solution:
Given Literals are 15,s and r.
As per the Data, the Literal 15 is multiplied with the Literal s which is expressed as 15s and it is added for the Literal r as 15s +r.
FAQ’s on Multiplication of Literals
1). What are the various kinds of Multiplication properties Present?
The kinds of Multiplication properties Present are Identity, Associative and commutative Properties.
2). Does the Expression (3 x 4) x 8 = 3 x (4 x 8) is an Example for Associative Multiplication Property?
Yes, the given Expression is an Associative Multiplication since both L.H.S and R.H.S are the same
(3 x 4) x 8 = 3 x (4 x 8)
12 x 8 = 3 x 32
96 = 96
3). Give any two Examples for Identity Property?
3 x 1 = 1 x 3 and a x 1 = 1 x a are Examples of Identity Property.
4). Give an Example for commutative Multiplication Property?
52 x 5 = 5 x 52
260 = 260
5). Kiran crosses p centimeters in a single step. what is the distance that Kiran crosses in 14 steps?
According to the Given Data, Kiran crosses the Distance in single-step = p Centimeters
Similarly, he crosses the 14 steps = (14 times) x p
=14 centimeters.
6). What is the Value attained when 58 and t are multiplied?
It gives the result as 58t