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**Simplification Important formulas:**

**‘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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