Simplification Shortcuts and Important Formulas

Simplification Solved Examples - Page 4
Simplification Important Questions - Page 5
Simplification Video Lecture - Page 6

'BODMAS' Rule

This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of given expression.
Here,
B - Bracket,
O - of,
D - Division,
M - Multiplication,
A - Addition and
S - Subtraction
Thus, in simplifying an expression, first of all the brackets must be removed, strictly in the order (), {} and ||.
After removing the brackets, we must use the following operations strictly in the order:
(i) of (ii) Division (iii) Multiplication (iv) Addition (v) Subtraction.


Modulus of a Real Number

Modulus of a real number a is defined as

|a| = a,if a > 0

-a if a < 0

Thus, |5| = 5 and |-5| = -(-5) = 5.


Vernacular (or Bar)

When an expression contains Vernacular, before applying the 'BODMAS' rule, we simplify the expression under the Vernacular.


 

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