BODMAS Rule: A simple arithmetic expression involving two numbers and a single operation is easy to solve. But what about expressions with many numbers and multiple operation symbols? How do we know which particular operation to solve first? This is where the BODMAS rule saves us. BODMAS is also known as BIDMAS (Brackets, Indices, Division, Multiplication, Addition, and Subtraction) or BEDMAS ( where E stands for Exponents).
The full form of BODMAS is Brackets, Orders, Division, Multiplication, Addition, and Subtraction. As the full form suggests, the first preference in BODMAS operation is given to brackets i.e. “[, {, (), }, ]”. After that, the second preference is given to the orders or exponents (a^{n}). After that comes the division, multiplication, addition, and subtraction operations, denoted by ÷, x, +, and − respectively.
In this article, we will tell you what is BODMAS rule in Math and what is the order of solving arithmetic operations. Also, you can download the complete BODMAS rule PDF on this page.
BODMAS Rule In Maths: Order Of Arithmetic Operations
Arithmetic operations include mathematical operations like addition, subtraction, multiplication, and division. While solving expressions that include multiple operations, we cannot just randomly pick up and solve the different operations. This won’t give the correct answers.
There is a certain order in which arithmetic operations are to be solved in order to arrive at the correct answer. This is where the BODMAS rule comes into the picture. With the help of this rule, we can solve an expression with brackets and multiple operations. BODMAS rule also tells us how to simplify a bracket and which bracket is to be solved first.
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BODMAS Full Form: What Is BODMAS Rule?
BODMAS is an acronym that stands for:
This means while solving arithmetic expressions with multiple operations of various types:
 First, the expressions within the brackets (), {}, [] are to be solved irrespective of the operators inside the brackets.
 Next, the square roots and numbers with powers are to be solved. The O in BODMAS stands for Of or Order.
 Then, we must solve the division operation, followed by multiplication, addition, and lastly, subtraction.
Note that, ‘()’ is the first bracket, whereas ‘{}’ and “[]” are second and third brackets respectively. While solving expressions with different brackets, expressions within the first bracket should be solved first, followed by second and then third. 
Let us understand it with an example.
Consider the following expression:
a – (b – c) + d x e ÷ f
We have to solve this expression in the following order or sequence:
i. Bracket: First, we have to find the value of (b – c) which is inside the bracket. Let’s say, it’s A, i.e (b – c) = A.
ii. Division: Then we have to find the value of e ÷ f. Let’s say, it’s B, i.e e ÷ f = B.
iii. Multiplication: The resultant value, B is to be multiplied by d. Let’s say, B x d = C.
iv. Addition: Now, we have to add the result of (b – c) that is A to C. Let the result be D.
v. Subtraction: Now, we have to subtract D from a to arrive at the correct answer.
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BODMAS Rule Examples: BODMAS Examples
Let us now go through some of the examples of BODMAS Rule:
Example 1: Solve: 5 – 6 x 4
Solution: As multiplication (M) comes before subtraction (S), we have to find the value of 6 x 4 first and then subtract it from 5.
So,
5 – 6 x 4
= 5 – 24
= 19
Example 2: Solve: 10 ÷ (5 + 5)
Solution: As per BODMAS Rule, the expressions within brackets are to be solved first. So, in this problem, we have to find the addition of 5 and 5 within the bracket first. Then we have to divide 10 by the result of the addition.
10 ÷ (5 + 5)
= 10 ÷ 10
= 1
Example 3: Solve: 10 ÷ 5 + 5
Solution: This problem may look similar to the one in Example 2 but here there is no bracket. So, as per BODMAS Rule, here we have to solve the division first followed by the addition.
10 ÷ 5 + 5
= 2 + 5
= 7
So, you see, the results are entirely different based on the order in which you solve the operations.
Example 4: Solve: 10 ÷ [(5 + 5) x {(4 x 2) – (5 – 2)}]
Solution: 10 ÷ [(5 + 5) x {(4 x 2) – (5 – 2)}]Solving the expressions within the first brackets, we get
= 10 ÷ [10 x {8 – 3}]Solving the expression within the second bracket, we get
= 10 ÷ [10 x 5]
Now, solving the expression within the third bracket, we get
= 10 ÷ 50
= 0.2
So, now you know how to go about solving arithmetic expressions with more than one operation. Solve more questions involving BODMAS Rule from your textbook and you will get a hang of it.
BODMAS Rule PDF: FAQs Related To BODMAS Rule
Here we have provided some of the frequently asked questions related to BODMAS:
Q1: What is the rule of BODMAS?
A: The BODMAS rule states that in an expression containing multiple arithmetic operations, there is an order in which all the operations are calculated. The operations are given preference in the following order: Brackets, Order (exponents), Division, Multiplication, Addition, and Subtraction.
Q2: Do you use BODMAS when there are no brackets?
A: Yes, we can use the BODMAS rule even if there are no brackets. Just follow the order of preference of arithmetic operations sans brackets.
Q3: Does BODMAS apply if no brackets?
A: Yes.
Q4: What is the meaning of O in BODMAS rule?
A: O in BODMAS stands for Order or Of.
Q5: Do you multiply first if no brackets?
A: No, according to the BODMAS rule, if there are no brackets, then exponents will be calculated first, then division, and then multiplication.
Q6: Should you always use BODMAS?
A: Yes, to get the correct answer to any mathematical equation involving multiple arithmetic operations, we should always use BODMAS.
Now you are provided with all the necessary information regarding BODMAS rule and its importance. Practice more questions and master this concept.
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