BODMAS rule in math | Examples[pdf]

BODMAS rule in math is a rule that helps to solve the operation correctly. When the operations have brackets, exponents, multiplication, division, addition, and subtraction it is important to know which operation should be executed first. This helps to find the right solution.

Meaning of BODMAS

B – Bracket

O – Orders (power/exponent)

D – Division

M – Multiplication

A – Addition

S – Subtraction

The BODMAS rule states that mathematical expressions with multiple operations need to be solved from left to right in the order of BODMAS. Division and Multiplication order can be interchanged depending on which comes first in the expression, similarly with Addition and Subtraction.

Examples of BODMAS rule in maths

Question 1: 3 + 8•4

Going from left to right, we have operations as: Addition, Multiplication

According to the BODMAS rule first comes multiplication and then Addition.

therefore, by solving 8.4 first we get

3 + 8.4 = 3 + 32 = 35

Note: If you solve addition first 3 + 8.4 will become 11+ 4 = 15 which is wrong

Question 2: 4(3-1)2

Going left to right operations are: Multiplication, Brackets, Subtraction, Order/Exponents/Powers

Rearranging the sequence: Brackets, Orders, Multiplication, Subtraction

Solving bracket ,

4(3-1)² = 4(2)² = 4.2²

Here Subtraction was part of brackets so we solved it first. Solving powers,

4.2² = 4.4

Solving multiplication,

4.4 = 16

Question 3: 8 • 2 + 3 • 6

Operation order from left to right is multiplication, addition, multiplication

Order to follow as per rule: Multiplication, multiplication, addition

Solving first multiplication while going from left to right,

8.2 + 3.6 = 16 + 3.6

Solving next multiplication,

16 + 3.6 = 16 + 18

Solving addition,

16 + 18 = 34

Question 4: 9 ÷ 3 + 2 • 5

Operation order from left to right: Division, Addition, Multiplication

According to the rule, the sequence is: Division, Multiplication, Addition

therefore, 9 ÷ 3 + 2 • 5 = 3 + 2 • 5 = 3 + 10 = 13

Question 5: 6 + 32 ÷ 42

Operations that we have Addition, Division, Power

According to BODMAS, sequence is Power, Division, Additionhttps://hackonmath.com/wp-content/uploads/2022/11/BODMAS-PEDMAS-hackonmath.pdf

therefore, 6 + 32 ÷ 42 = 6 + 32 ÷ 16 = 6 + 2 = 8

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