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Simplification - Important Formulas | Aptitude

  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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