Equality - Algebra - Math Dictionary
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 Equals     Equation     Identity  

Equality
Definition of Equality

  • Equality is a state in which two things or values are always equal.

More about Equality

  • In the state of equality, both values on the left and the right side of the sign ‘=’ will be the same.
  • The equality “A is equal to B” is written as “A = B”.
  • If a number is added on both sides of an equality, then the value of the expression or equation remains the same i.e. if c is any real number, then x + c = y + c
  • If a number is subtracted from both sides of an equality, then the value of the expression or equation remains the same i.e. if c is any real number, then x - c = y - c
  • If a number is multiplied on both sides of an equality, then the value of the expression or equation remains the same i.e. if c is any real number, then x · c = y · c.
  • If a number divides both sides of an equality, then the value of the expression or equation remains same i.e. if c is any real number, then

Examples of Equality

  • 6 x 8(= 48) is same as 12 x 4(= 48).

  • The number of trees in both the figures is equal.

Solved Example on Equality

Which of the expressions is equal to the expression 6 x 4?
Choices:
A. 7 x 4
B. 8 x 3
C. 9 x 2
D. 3 x 4
Correct Answer: B
Solution:
Step 1: The value of the expression 6 x 4 = 24.
Step 2: Among the given choices, only the value of 8 x 3 = 24.
Step 3: So, the expression 8 x 3 is equal to 6 x 4.

Related Terms for Equality

  • Equals
  • Equation
  • Identity

Additional Links for Equality


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