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## Equality - when L.H.S = R.H.S, the equation 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.

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

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

Check effect of above points on equality with examples from above respective links.