Algebra Den


[ Home ] [ My Account ] [ Contact ]
Arithmetic
Additive Identity
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Algebraic Equation
Algebraic Expression
Order Relation
Standard Identities & their applications
Transpose
Cartesian System
Linear Equations
Probability
Polynomials
Geometry
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Polygons and its Types
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Basic Geometrical Terms
Parallelogram
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Graphs
Median
Mode
Range
Frequency Distribution Table
Home >> Equality >>

Equality - when L.H.S = R.H.S, the equation is said to be in Equality

Add same number Add different number Subtract same number Subtract different number Multiply with same number
Multiply with different numbers Divide by same number Divide by different number

Definition : When the Value of expression on the Left Hand Side (L.H.S) of the sign "=" is similar to the Value of expression on the Right Hand Side
(R.H.S), the equation is said to be an "Equality".

In short, when L.H.S. = R.H.S., the equation is said to be in "Equality"

For example -
2 X 7 = 14
Solve L.H.S. and we get
14 = 14
&
50 = 5 X 10
Solve R.H.S. and we get
50 =50

In both the above examples L.H.S. = R.H.S and equations are in Equality

Lets try some more example to understand this

Problem 1 = 4 X 3 = 2 X 6
Solve L.H.S. and R.H.S. and we get
12 = 12

Since L.H.S. = R.H.S
So the given equation 4 X 3 = 2 X 6, is said to be in equality


Problem 2 = 5 + 7 - 2 = 2 X 5
Solve L.H.S. as per BODMAS rule and we get
L.H.S. = 5 + 7 - 2
L.H.S. = 12 - 2
L.H.S. = 10

Now, Solve R.H.S. and we get
R.H.S. = 2 X 5
R.H.S.=10

Since L.H.S. = R.H.S
So the given equation 5 + 7 - 2 = 2 X 5, is said to be in equality


Now, letís see what happens to equality, when following operation are done on both sides of equality (i.e. on L.H.S and R.H.S)
  • Add same number
  • Add different number
  • Subtract same number
  • Subtract different number
  • Multiply with same number
  • Multiply with different number
  • Divide by same number
  • Divide by different number

    Check effect of above points on equality with examples from above respective links.
  • Terms & Conditions

    All rights reserved
    Subscribe
    &
    Study More Algebra Topics