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 Third Grade Geometrical Shapes | Questions on Geometry
Jan 29, 25 12:32 AM
Practice the math worksheet on third grade geometrical shapes. The questions will help the students to get prepared for the third grade geometry test. 1. Name the types of surfaces that you know. 2. W… -
3rd Grade Basic Shapes | Geometry Activities | Geometrical Shapes
Jan 29, 25 12:27 AM
In third grade geometry activities kids will learn about the basic shapes (solids). We know, about some of the geometrical shapes like cuboid, cube, cylinder, cone, sphere, triangular prism, etc. -
Numerator and Denominator of a Fraction | Numerator of the Fraction
Jan 29, 25 12:09 AM
What are the numerator and denominator of a fraction? We have already learnt that a fraction is written with two numbers arranged one over the other and separated by a line. -
Worksheet on Word Problems on Fractions | Fraction Word Problems | Ans
Jan 29, 25 12:05 AM
In worksheet on word problems on fractions we will solve different types of word problems on multiplication of fractions, word problems on division of fractions etc... 1. How many one-fifths -
2nd Grade Basic Concept of Fractions | Concept of Half, OneThird | Exa
Jan 28, 25 01:39 PM
Concept of fractions will help us to express different fractional parts of a whole. One-half When an article or a collection of objects is divided into two equal parts is called as half of the whole.
● 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.