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BODMAS Full Form is Brackets, Orders, Division, Multiplication, Addition, and Subtraction. BODMAS tells us the correct order to solve problems that have many operations like brackets, powers, division, multiplication, addition, and subtraction. Students can solve the same problem in different ways and get different answers without BODMAS.
Imagine trying to add before dividing or ignoring brackets, it can be difficult. This rule is like a guide that all students and teachers follow to get the same, correct answer. In this article, we will learn about BODMAS full form, why it is important, the steps to follow, different types of brackets, and some easy examples.
What is BODMAS Full Form?
BODMAS is a special word that helps us remember the order of operations in maths. Each letter stands for one part of the rule. The following is BODMAS Full Form:
- B – Brackets
- O – Orders (like powers and roots)
- D – Division
- M – Multiplication
- A – Addition
- S – Subtraction
When students see a big maths question with many steps, BODMAS tells what to do first and what to do next. For example, always solve what’s inside the brackets before anything else. After that, handle powers and roots, then division and multiplication (from left to right), and finally addition and subtraction (also from left to right).
Using BODMAS makes sure that everyone solves problems the same way and gets the correct answer. It is taught in schools so students can feel confident when doing maths.
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Why is the BODMAS Rule Important in Mathematics?
The BODMAS rule is very important because it keeps maths problems clear and fair for everyone. Imagine a big maths question without BODMAS.
One person can choose to add first, while another can divide first. They will get different answers, and no one would know which is correct. BODMAS gives us a set of steps to follow so there is only one correct answer for everyone.
For example, take this question: 8 + 2 × 3.
If we add first: 8 + 2 = 10, then 10 × 3 = 30. But if we use BODMAS, we multiply first: 2 × 3 = 6, then add: 8 + 6 = 14.
The right answer is 14. BODMAS stops confusion by telling us to do multiplication before addition. Teachers, students, and even computers use BODMAS to solve maths questions. It helps us avoid mistakes and makes sure everyone understands how to get the same answer.
Learning BODMAS is important because it builds a strong base for doing harder maths in the future.
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Steps of BODMAS Rule
The following are the BODMAS steps one by one, so it is easy to follow:
- B – Brackets: Always solve what is inside any brackets first. Brackets can be round ( ), square [ ], or curly { }. Example: (5 + 3) × 2 = 8 × 2 = 16.
- O – Orders: Next, solve any powers or roots. Example: 2² = 2 × 2 = 4.
- D – Division and M – Multiplication: Do these next, from left to right. If both appear, solve them in the order they come. Example: 12 ÷ 3 × 2 = 4 × 2 = 8.
- A – Addition and S – Subtraction: Do these last, from left to right. They have the same level of importance, so solve them in the order they appear. Example: 10 + 5 – 2 = 15 – 2 = 13.
Following BODMAS means students will never get lost when solving long questions. It gives clear steps to follow and ensures answer is correct every time.
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Types of Brackets in BODMAS
Brackets are the first thing to solve in the BODMAS rule. There are three main types of brackets used in maths:
- ( ) – Parentheses or round brackets
- [ ] – Square brackets
- { } – Curly brackets or braces
When there are many brackets in a question, students should always start from the innermost one and move outwards. The following is how to solve them step by step.
Example 1: {5 + [3 × (2 + 1)]}
Step 1: Solve ( ) first.
(2 + 1) = 3.
Step 2: Solve inside [ ] next.
3 × 3 = 9.
Step 3: Solve inside { }.
5 + 9 = 14.
Answer: 14.
Brackets make sure certain parts of the problem are solved first. This is very important because, without brackets, the meaning of the question can change.
Example 2: 8 × (4 + 2)
Solve ( ) first.
4 + 2 = 6.
Then multiply.
8 × 6 = 48.
Answer: 48.
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Example 3: [10 – {3 + (2 × 4)}]
Innermost ( ):
2 × 4 = 8.
Then inside { }:
3 + 8 = 11.
Then inside [ ]:
10 – 11 = -1.
Answer: -1.
Example 4 (No brackets): 5 + 2 × 3
No brackets, so use BODMAS for D and M first.
2 × 3 = 6.
Then add.
5 + 6 = 11.
Answer: 11.
Brackets help organise work and make sure we solve parts of a problem in the right order. That is why BODMAS always starts with Brackets. It’s like reading instructions in the right order so students don’t make mistakes.
Examples of BODMAS Rule for Practice
The following are some easy BODMAS examples students can try to make sure they understand the rule:
Example 1:
6 + 2 × 3 = ?
Step 1: Multiplication first.
2 × 3 = 6.
Step 2: Add.
6 + 6 = 12.
Answer: 12.
Example 2 8 ÷ 2 × 4 = ?
Step 1: Division.
8 ÷ 2 = 4.
Step 2: Multiplication.
4 × 4 = 16.
Answer: 16.
Example 3: (5 + 3) × 2 = ?
Step 1: Brackets.
5 + 3 = 8.
Step 2: Multiply.
8 × 2 = 16.
Answer: 16.
Example 4: 12 + (6 ÷ 2) × 3 = ?
Brackets first.
6 ÷ 2 = 3.
Then multiply.
3 × 3 = 9.
Then add.
12 + 9 = 21.
Answer: 21.
Students will get better at solving maths problems quickly and correctly by practising BODMAS.
Common Mistakes Students Make with BODMAS
BODMAS makes solving maths problems easier, many students still make mistakes when they forget to follow the rule carefully. One common mistake is ignoring the brackets or not solving them first. For example, in 5 + (3 × 2), some students add 5 + 3 first and get 8 × 2 = 16, which is wrong. The correct way is to do the brackets first: 3 × 2 = 6, then 5 + 6 = 11.
Another mistake is forgetting that Division and Multiplication should be done from left to right. For example, in 12 ÷ 3 × 2, students must divide first (12 ÷ 3 = 4) and then multiply (4 × 2 = 8).
Some students also think they can do Addition before Subtraction, but BODMAS says to do them from left to right.
To avoid these mistakes, always write out each step, check work, and remember BODMAS every time you solve a problem. Practising regularly will help you remember the rule and avoid these common errors.
FAQs on BODMAS Full Form
What is the full form of BODMAS?
It stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction.
Why do we use BODMAS?
We use it to solve maths problems in the correct order without mistakes.
What are Orders in BODMAS?
Orders mean powers or roots, like 2² or √4.
Which is solved first in BODMAS?
Always solve Brackets first
