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Important Formulas - Simplification - Tricks & Shortcuts

1.'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.

2. Modulus of a Real Number:
Modulus of a real number a is defined as

                          |a| =  a, if a > 0 and -a, if a < 0

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


3. Virnaculum (or Bar):
When an expression contains Virnaculum, before applying the 'BODMAS' rule, we simplify the expression under the Virnaculum.



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