Arithmatical - Simplification

Important Facts and Formulae


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 stands for Bracket, O for of, D for Division, M for Multiplication, A for Addition and S for 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 1a1 =
{ a, if a > 0
-a, if a < 0

Thus, |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.