## Simplification

### BODMAS Rule

BODMAS Rule: This rule depicts the correct sequence in which the operations are to be executed, so as to find out the value of a 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 (), {}, [].

After removing the brackets, we must use the following operations strictly in the order: Of, Division, Multiplication, Addition, Subtraction.

### Modulus of a Real Number

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

$$|a|=\left\{\begin{array}{r}{a, \text { if } a>0} \\ {-a, \text { if } a<0}\end{array}\right.$$

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 Vinculum.