BODMAS Calculator

Calculate expressions using the BODMAS rule

Enter Expression

What is the BODMAS Rule - Order of Operations?

BODMAS is a simple rule that helps you remember the correct order of operations in mathematics. Whether you're solving a complex equation or a simple arithmetic equation, following the BODMAS rule ensures accurate results every time. The word BODMAS stands for:

B – Brackets
O – Orders (i.e., powers and square roots, etc.)
D – Division
M – Multiplication
A – Addition
S – Subtraction

Why is BODMAS rule Important?

When a mathematical expression includes multiple operators—like addition, multiplication, or brackets—the order in which you perform these operations matters. If you don’t follow the correct sequence, you could end up with the wrong answer. The order of operations ensures that everyone solves the same expression in the same way and gets the same answer.

Imagine two people solving 8 – 4 + 2. One subtracts first, the other adds first.

Person A: 8 - 4 + 2 = 6
Person B: 8 - 4 + 2 = 2

Without a clear rule, both answers seem okay — but only one follows the proper method. According to BODMAS, addition and subtraction are done left to right, so the correct answer is: 6.

How Our BODMAS Calculator Works

Our tool takes your input — any expression like 3 + 4 × (2 – 1)^2 — and solves it based on BODMAS logic. It:

Identifies brackets and solves them first
Calculates powers and roots next
Performs multiplication and division from left to right
Finally, adds and subtracts from left to right

This ensures you get the right answer every time, no matter how complex the expression is. You can use it for homework, exams, or just to check your calculations. It's fast, reliable, and easy to use!

BODMAS vs BIDMAS vs PEMDAS

While BODMAS is commonly used in the India, you might also see BIDMAS or PEMDAS. They all mean the same thing, just with different terms for 'Orders' or 'Parentheses'. Here's a quick comparison:

BODMAS: Used in India. 'O' stands for Orders (powers and roots).
BIDMAS: Used in the UK. 'I' stands for Indices (same as Orders).
PEMDAS: Used in the US. 'P' stands for Parentheses, 'E' for Exponents (same as Orders).

Note: In PEMDAS and BODMAS, Multiplication/Division and Addition/Subtraction are done from left to right, not strictly in the order they appear in the acronym.

BODMAS Order Explained with Examples

1. Expression: 6 + 3 × 2

Multiplication first: 3 × 2 = 6
Then addition: 6 + 6 = 12
Answer: 12

2. Expression: (5 + 3) × 2

Brackets first: 5 + 3 = 8
Then multiplication: 8 × 2 = 16
Answer: 16

3. Expression: 4 + 2 × (3 - 1)^2

Brackets first: 3 - 1 = 2
Then power: 2^2 = 4
Then multiplication: 2 × 4 = 8
Finally, addition: 4 + 8 = 12
Answer: 12

Common Mistakes Students Make Without BODMAS

Many students struggle with the order of operations, leading to mistakes like:

Ignoring brackets and calculating left to right
Doing addition before multiplication
Misunderstanding powers and roots
Confusing the order of operations
Forgetting to apply the BODMAS rule consistently