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
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
