What is BODMAS?

S3-SA1-0085

Grade Level:

Class 6

AI/ML, Data Science, Physics, Economics, Cryptography, Computer Science, Engineering

Definition

What is it?

BODMAS is a rule that tells us the correct order to solve mathematical problems involving different operations like addition, subtraction, multiplication, and division. It stands for Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction. Following BODMAS ensures everyone gets the same correct answer to a problem.

Simple Example

Quick Example

Imagine you are calculating your total marks for a school project: (5 * 10) + 20. If you add 10 + 20 first (30) and then multiply by 5 (150), you get the wrong answer. But if you multiply 5 * 10 first (50) and then add 20 (70), you get the correct total. BODMAS helps us choose the right order: Brackets first, then Multiplication, then Addition.

Worked Example

Step-by-Step

Let's solve: 10 + (4 * 3) - 6 / 2

1. B - Brackets first: (4 * 3) = 12
--- The problem becomes: 10 + 12 - 6 / 2

2. O - Orders (powers/roots): There are none in this problem.

3. D - Division: 6 / 2 = 3
--- The problem becomes: 10 + 12 - 3

4. M - Multiplication: There is none in this step.

5. A - Addition: 10 + 12 = 22
--- The problem becomes: 22 - 3

6. S - Subtraction: 22 - 3 = 19

Answer: 19

Why It Matters

BODMAS is super important because it brings order to calculations, just like traffic rules bring order to roads! In fields like Computer Science and Engineering, writing code or designing circuits requires calculations to be done in a precise order. Even economists use it to correctly calculate things like profit or interest, ensuring their numbers are accurate for big decisions.

Common Mistakes

MISTAKE: Always doing Addition before Subtraction, or Multiplication before Division, even if they appear later in the problem. | CORRECTION: Division and Multiplication have the same priority, and should be solved from left to right. Similarly, Addition and Subtraction have the same priority and are solved from left to right.

MISTAKE: Forgetting to solve what's inside the Brackets first. | CORRECTION: Always solve operations inside brackets first, no matter what other operations are present outside.

MISTAKE: Ignoring 'Orders' (powers or square roots) and treating them like multiplication/division. | CORRECTION: Powers and roots (Orders) must be solved immediately after Brackets and before Division or Multiplication.

Practice Questions

Try It Yourself

QUESTION: Solve 5 * 3 + 8 - 2 | ANSWER: 21

QUESTION: Solve (12 - 4) / 2 + 7 | ANSWER: 11

QUESTION: Solve 20 / (2 + 3) * 4 - 5 | ANSWER: 11

MCQ

Quick Quiz

Which operation should be performed first in the expression: 15 + 6 * (8 - 3) / 5?

Addition

Multiplication

Subtraction inside brackets

Division

The Correct Answer Is:

According to BODMAS, 'B' for Brackets comes first. So, the subtraction (8 - 3) inside the brackets must be performed before any other operation.

Real World Connection

In the Real World

When a computer program calculates your total bill at an online store like Flipkart or Amazon, it uses an order of operations similar to BODMAS. It first calculates the cost of multiple items (multiplication), then adds taxes (addition), and finally applies any discounts (subtraction) in the correct sequence to give you the accurate final amount.

Key Vocabulary

Key Terms

OPERATION: A mathematical action like addition, subtraction, multiplication, division | BRACKETS: Symbols like ( ) { } [ ] that group parts of an expression | ORDERS: Powers (like 2^3) or roots (like sqrt(9)) | PRIORITY: The importance or rank of an operation in BODMAS | EXPRESSION: A mathematical phrase that can contain numbers, operations, and variables

What's Next

What to Learn Next

Great job understanding BODMAS! Now that you know the order of operations, you're ready to tackle more complex equations with variables. Next, you can explore 'Algebraic Expressions' where you'll use BODMAS to simplify problems with letters and numbers.