Simplification Introduction

BODMAS Rule - Order of Operations

Easy and simple way to remember BODMAS Rule

B => Bracket First (Parentheses)

O => Of (Orders i.e. Powers, Square Roots, Cube Roots, etc.)

DM => Division / Multiplication (Start from left to right)

AS => Addition / Subtraction (Start from left to right)

Note:
  1. Do Operations in Brackets first, strictly in the order (), {} and [].
  2. Evaluates exponents (Powers, Roots, Cube, etc.)
  3. Start Divide / Multiply from left side to right side since they perfom equally.
  4. Start Addition / Subtraction from left side to right side since they perfom equally.

Let us take an example to clear these rules:

Example 1:
12 + 6 ÷ 2 × (18 ÷ 3)2 - 10
= 12 + 6 ÷ 2 × (6)2 -10 (Bracket First)
= 12 + 6 ÷ 2 × 36 - 10 (Exponent)
= 12 + 3 × 36 - 10 = 12 + 108 - 10 (Division and Multiplication,left to right)
= 120 - 10 = 110 (Addition and Subtraction, left to right)

Example 2:
14 + 10 - 3 × 6 / 3 + 40
= 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)