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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, lets 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. 