Simplification - Important Formulae

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
   		-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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