Equality Symbol

Introduction to equality symbol:

Equality expression allows all the operation in mathematics. The equality should be denoted by a symbol ‘=’.

Example: p = q. It represents that the terms at both sides are equal which is represented by a symbol ‘=’. We can do all the arithmetic operations at this equality expression without change the meaning of equality. This equality is used for solving the equations.

Properties of Equality Symbol:

The properties of equality symbol are,

Addition property of equality symbol
Subtraction property of equality
Multiplication property of equality
Division property of equality
Addition property of equality:

It states that the addition of a number at equality cannot change the meaning of equality symbol.

Example: p + q = r + q

Subtraction property of equality:

The subtraction of a number at equality cannot change the meaning of the equality symbol

Example: p – q = r – q

Multiplication property of equality symbol:

The multiplication of a number at equality cannot change the meaning of equality symbol.

Example: p . q = r . q

Division property of equality:

The division of a number at equality cannot change the equality symbol.

Example: p/q = r/q

Example Problems to Equality Symbol:

Example: 1

Solve: 5 + b = 25

Solution:

Given 5 + b = 25

Subtract a number 5 at both sides for getting unknown value b.

5 + b – 5 = 25 – 5

b = 20

To check:

5 + 20 = 25

25 = 25

Answer: b= 25

Example: 2

Solve: n - 22 = 69

Solution:

Given n - 22 = 69

Add a number 22 at both sides for getting unknown value n.

n – 22 + 22 = 69 - 22

n = 47

Example: 3

Solve: 7 p = 147

Solution:

Given 7 p = 147

Divide a common number 7 at both sides for getting p

`7/7`  p = `147/7`

p =21

Practice Problems to Equality Symbol:

Problem: 1

Solve 56 + m = 165

Answer: 109

Problem; 2

Solve 90 n = 180

Answer: 2