# Simplification Shortcuts and Important Formulas

**Simplification Solved Examples - Page 4**

** Simplification Important Questions - Page 5**

** Simplification Video Lecture - Page 6**

## '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.

**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.

**Vernacular (or Bar)**

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