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Arithmetic Aptitude :: Simplification

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Important Formulas

    '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.

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

              Ex. |5| = 5 and |-5| = -(-5) = 5.

    Virnaculum (or Bar):

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