Addition of Literals
Addition of literals obey all properties of addition of numbers. Suppose we are asked to find the sum of two numbers, say 3 and 5. The sum of 3 and 5 is denoted by 3 + 5. Exactly in the same way, the sum of the literal y and a number 7 is denoted by y + 7 and is read as ‘y plus 7’. y + 7 can also be read as ‘7 more than y or increase y by 7’.
Similarly, y more than a literal x is written as x + y. We can also read x + y as the sum of x and y. (x + y) + z means that the sum of literals x and y is added to the literal z whereas x + (y + z) means that the literal x is added to the sum of literals y and z.
Let us consider an algebraic entity ‘m’ and we want to add 25 to it. We write this operation as m + 25, just as we do for arithmetical quantities. We may also add one quantity m to another quantity n and this process is represented by m + n. The sum of m and 25 is written as m + 25.
Sum of two literal numbers m and n is written as m + n.
The sum of m and m is written as m + m = 2m.
Sum of m, n and 5 is written as = m + n + 5.
Properties of Addition of Literals:
Since literals are used to represent numbers. Here, we list the properties of addition of literals.
Commutativity: For any two literals a and b, we have
a + b = b + a
2 + x = x + 2
Associativity: For any three literals a, b and c, we have
(a + b) + c = a + (b + c)
(3 + x) + y = 3 + (x + y)
Identity: For any literals a, we have
a + 0 = a = 0 + a
5 + 0 = 5 = 0 + 5
Here ‘0’ is known as the additive identity.
Problems on Addition of Literals
Write each of the following phrases using numbers, literals and the basic operation of addition :
(i) The sum of x and 3.
Answer: x + 3
(ii) The sum of 10 and z.
Answer: 10 + z
(iii) The sum of x and y.
Answer: x + y
(iv) 3 more than a number x.
Answer: x + 3
(v) 100 more than a number p.
Answer: p + 100
(vi) x added to 9.
Answer: x + 9
(vii) m added to 50.
Answer: m + 50
(viii) Increase x by 4.
Answer: x + 4
(ix) Increase z by 10.
Answer: z + 10
(x) The sum of x and 5 added to y.
Answer: (x + 5) + y
(xi) The sum of m and 25 added to n.
Answer: (m + 25) + n
(xii) The sum of x and y added to z.
Answer: (x + y) + z
(xiii) The sum of a and b added to 5.
Answer: (a + b) + 5
(xiv) x added to the sum of y and 4.
Answer: x + (y + 4)
(xv) 5 added to the sum of a and b.
Answer: 5 + (a + b)
(xvi) a added to the sum of y and z.
Answer: a + (y + z)
Properties of Multiplication of Literals
Algebra Page
6th Grade Page
From Addition of Literals to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Recent Articles
-
Worksheet on Facts about Multiplication | Multiplication Sum | Answers
Jan 15, 25 01:24 AM
Practice the worksheet on facts about multiplication. We know in multiplication, the number being multiplied is called the multiplicand and the number by which it is being multiplied is called the mul… -
Facts about Multiplication | Multiplicand | Multiplier | Product
Jan 15, 25 01:03 AM
We have learnt multiplication of numbers with 2digit multiplier. Now, we will learn more. Let us know some facts about multiplication. 1. In multiplication, the number being multiplied is called the m… -
Basic Multiplication Facts | Repeated Addition |Multiplication Process
Jan 15, 25 12:23 AM
Some basic multiplication facts are needed to follow for multiplying numbers. The repeated addition of the same number is expressed by multiplication in short. -
Properties of Multiplication | Multiplicative Identity | Whole Numbers
Jan 15, 25 12:08 AM
There are six properties of multiplication of whole numbers that will help to solve the problems easily. The six properties of multiplication are Closure Property, Commutative Property, Zero Property… -
Multiplication Table | Learn Tables from 0 – 25 | Multiplication Table
Jan 14, 25 11:53 PM
In math multiplication table we will learn the tables from 0 – 25. These multiplication tables help the students to learn the essential multiplication facts. Multiplication tables are very important f…
● Literal Numbers - Worksheets
Worksheet on Addition of Literals
Worksheet on Subtraction of Literals
Worksheet on Multiplication of Literals
Worksheet on Division of Literals
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.