### Simplification Practice Set E-Book

**Simplification**

1. Table

2. Square Table

Practice Set – 1

3. Square Root

Practice Set – 2

4. Cube Table & Cube Root.

Practice Set – 3

5. VBODMAS

Practice Set – 4

Practice Set – 5

Answers Key – 5

6. Series

7. Fraction

8. Approximate

BODMAS rule defines the correct sequence in which operations are to be performed in a given mathematical expression to find its value.

**In BODMAS, **

B = Bracket,

O = Order (Powers, Square Roots, etc.)

DM = Division and Multiplication (left-to-right)

AS = Addition and Subtraction (left-to-right)

**This means, to simplify an expression, the following order must be followed.**

- Do operations in Brackets first, strictly in the order (), {} and []

- Evaluate exponents (Powers, Roots, etc.)

- Perform division and multiplication, working from left to right. (division and multiplication rank equally and done left to right).

- Perform addition and subtraction, working from left to right. (addition and subtraction rank equally and done left to right).

**Examples**

- 12 + 22 ÷ 11 × (18 ÷ 3)
^{2}– 10

= 12 + 22 ÷ 11 × 6^{2}– 10 (∵ Brackets first)

= 12 + 22 ÷ 11 × 36 – 10 (∵ exponents)

= 12 + 2 × 36 – 10 = 12 + 72 – 10 (∵ division and multiplication, left to right)

= 84 – 10 = 74 (∵ Addition and Subtraction, left to right) - 4 + 10 – 3 × 6 / 3 + 4

= 4 + 10 – 18/3 + 4 = 4 + 10 – 6 + 4 (∵ division and multiplication, left to right)

= 14 – 6 + 4 = 8 + 4 = 12 (∵ Addition and Subtraction, left to right)

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