BODMAS Questions for Class 9 with Answers

Understanding the BODMAS rule is crucial for solving mathematical problems effectively. This blog will guide Class 9 students through the BODMAS concept, its application, and how to avoid common mistakes when solving BODMAS-related questions. We will also provide solved questions for practice.

What is BODMAS?

BODMAS is an acronym used to help students remember the order of operations when solving complex mathematical expressions. It dictates the sequence in which different mathematical operations should be performed. The full form of BODMAS stands for:

• Brackets
• Orders (powers and roots, such as squares and square roots)
• Division
• Multiplication
• Addition
• Subtraction

Following the BODMAS rule ensures that you arrive at the correct answer when faced with an expression that involves multiple operations.

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BODMAS Rule Full Form

The full form of BODMAS is broken down into specific steps that dictate the order in which you should approach an expression. Here’s how each part works:

1. Brackets – Always solve the operations within brackets first. Brackets can be of different types:

   • () (Round brackets)
   • {} (Curly brackets)
   • [] (Square brackets)

   Operations inside round brackets are solved first, followed by curly and square brackets.

2. Orders – Orders refer to powers, exponents, or roots. For example:

   • 5^2 (5 squared) or the square root of 9 

   These operations come next after brackets.

3. Division and Multiplication – Both division and multiplication are performed from left to right. If both appear in an expression, solve them in the order they appear.

4. Addition and Subtraction – Like division and multiplication, addition and subtraction should also be solved from left to right.

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Tips to Remember BODMAS Rule

Here are some useful tips to help you remember the BODMAS rule:

1. Mnemonic Device – You can create a mnemonic to help you remember the BODMAS sequence. For example: "Big Orange Dogs Might Ate Sandwiches." Each first letter of the words in this sentence corresponds to BODMAS.

2. Practice Regularly – The more BODMAS problems you solve, the easier it becomes to remember the order. Try solving mixed operations daily to solidify the concept.

3. Double-Check Operations – When solving BODMAS questions, make it a habit to double-check each step, especially when multiple brackets and operations are involved.

4. Solve in Small Parts – Break complex problems into smaller steps. First, focus on solving brackets and powers, then move to multiplication, division, and so on.

Errors while Using BODMAS Rule

Despite its simplicity, students often make mistakes when applying the BODMAS rule. Here are some common errors:

1. Ignoring Brackets – Some students mistakenly skip solving expressions inside the brackets first. This leads to incorrect answers.

2. Mixing Up the Order – Division and multiplication, or addition and subtraction, must be done from left to right, but students sometimes try to solve multiplication before division, regardless of position in the equation.

3. Skipping Orders – Forgetting to solve powers or roots before multiplication and division can also lead to mistakes.

4. Rushing – Many errors occur when students rush through the steps, assuming the answer. Always follow the proper sequence and check your work.

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How to Solve BODMAS Questions?

To solve BODMAS questions effectively, you must follow the order of operations precisely. Here’s how to solve an example step-by-step:

Example:

Solve: 6+(5×2)−3^2 

Step 1: Solve brackets first.

6 + (10) - 3^2

Step 2: Solve exponents or powers next

6+10-9

Step 3: Now, perform addition and subtraction from left to right.

16-9=7

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When to Use BODMAS?

BODMAS is used whenever you encounter an expression involving more than one operation, such as addition, subtraction, multiplication, division, exponents, or brackets. It is essential to apply the BODMAS rule in the following scenarios:

1. Complex Arithmetic Expressions – When an expression includes multiple operations like 8+(12÷4)×23

2. Word Problems – In some word problems, you’ll need to convert sentences into mathematical expressions and apply the BODMAS rule to solve them.

3. Equations – When solving equations with multiple operations, always prioritize the order set by BODMAS.

Solved BODMAS Questions and Answers

Here are some BODMAS questions with step-by-step answers to help Class 9 students practice:

1. Question:

8+(6×2)−28÷4

Solution:

• Step 1: Solve the multiplication: 6×2=12
• Step 2: Solve the division: 28÷4=7
• Step 3: Perform addition and subtraction: 8+12−7=13   Answer: 13

2. Question:

15÷(3+2)+7×3

Solution:

• Step 1: Solve inside the parentheses: 3+2=5
• Step 2: Solve the division: 15÷5=3
• Step 3: Perform multiplication: 7×3=21
• Step 4: Perform addition: 3+21=24 Answer: 24

3. Question:

Solve: 15÷(5−2)×3

Solution:

• Solve the bracket first: 5−2=3
• Now, solve division and multiplication from left to right: 15÷3×3= 15

Answer: 15