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

1. 12 + 22 ÷ 11 × (18 ÷ 3)² – 10
   = 12 + 22 ÷ 11 × 6² – 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)
2. 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)