As we know
that Mathematics has become the basic need of human being. That’s why all the
students must learn at least basic mathematical concepts. While learning
mathematics, we have to solve lots of problems. The nature of some problems is
such that it is easy for us to solve these problems. On the other hand, there
are also some complicated problems which are hard to solve for us. It means
that if we are going to solve mathematical problems like (2 x 8), (16/4), (6 –
3) and so on, it is easy for us to solve these kinds of problems. Its reason is
that these kinds of problems have only one operation. On another hand, when we
are going to solve some arithmetic operations which involve more than one
operation like (2x4-3+4), it is hard for us to understand how to solve this
problem because we are not able to understand which operation should be solved
first. Under such a situation, we have to use a specific rule and that rule is
known as

**BODMAS rule**.#
What is BODMAS Rule?

BODMAS is an
acronym and by understanding this acronym, it is easy for us to keep in mind
the order of the operations
while solving different kinds of mathematical problems or operations. The
meanings of different words of this acronym are given below;

Ã˜ B → Bracket

It means
that first of all, we have to solve the brackets in the mathematical operation.
As there are four different kinds of brackets. First of all, we have to solve “━━━━”. Secondly, we have to solve (). Thirdly, we have to solve {}. At last,
we have to solve [].

Ã˜ O →
Of or Orders

It means
that you will have to solve all the numbers which have powers and brackets.

Ã˜ D → Division

It means
that you have to perform the division operation.

Ã˜ M → Multiplication

After that,
you have to perform the multiplication operation.

Ã˜ A → Addition

After that,
you have to add the numbers or terms.

Ã˜ S → Subtraction

At last, you
have to subtract the numbers and terms.

Related
Posts:

#
What is the Alternative of BODMAS rule?

There are
also some regions where PEMDAS rule is used instead of BODMAS rule. The acronym
of the PEMDAS rule is given below;

Ã˜ P → Parentheses

Ã˜ E → Exponents

Ã˜ M →Multiplication

Ã˜ D → Division

Ã˜ A →Addition

Ã˜ S → Subtraction

It is
considered that BODMAS rule and PEMDAS rule are two similar rules. It means
that either you are using BODMAS rule or PEMDAS rule, you will get the same
answer. The only difference between BODMAS rule and PEMDAS rule is that in
BODMAS rule, you will have to perform division operation before the
multiplication operation. On the other hand, in PEMDAS rule, you will have to
perform multiplication operation before division operation.

#
Who Invented the BODMAS Rule?

First of
all, the BODMAS rule was introduced by Achilles Reselfelt. The main aim of
introducing this kind of mathematical rule was to solve those problems which
involve the mathematical signs. When you are going to solve more than one
mathematical operation in a mathematical problem, you will have to apply BODMAS
rule.

#
Use of BODMAS Rule with the Help of Examples

After
getting an idea about the orders of different operations of the BODMAS rule, we
try to solve mathematical problems by using this rule.

#
Example 1

(6
+ 6) × 5

##
Ã˜
First Step

In the first
step, we should solve the bracket according to BODMAS rule. After solving the
bracket, we get the answer 12.

12
x 5

##
Ã˜
Second Step

Now, we have
to multiply 12 and 5. After multiplication, we get the answer 60.

60

#
Example 2

15
÷ 3 × 1 + 5

##
Ã˜
First Step

First of
all, we have to solve the brackets. In this case, we don’t have brackets.
Therefore, we should perform other basic operations. It means that we have to
divide 15 and 3. After performing the division process, we get the answer 5.

5
× 1 + 5

##
Ã˜
Second Step

After that,
we have to perform a multiplication operation. After performing this operation,
we get the following thing;

5
+ 5

##
Ã˜
Third Step

At last, we
have to add these two terms. After adding 5 and 5, we get the answer 10.

10

#
Example 3

4[2+{7(5-3)}]

##
Ã˜
First Step

In the first
step, we have to solve (). After solving it, we get:

4[2+{7x2}]

##
Ã˜
Second Step

Now, we have
to solve {}. After solving it, we get:

4[2+14]

##
Ã˜
Third Step

Now, we have
to solve []. After solving it, we get:

4x16

At last, we
have to multiply these two terms. After multiplying 4 and 16, we get the answer
64.

64

#
Example 4

20 x 2 –
(4/2) x 9 x 2^2

##
Ã˜
First Step

20 x 2 – (4/2) x 9 x 2^2

##
Ã˜
Second Step

20 x 2 – 2 x
9 x 2^2

##
Ã˜
Third Step

20 x 2 – 2 x 9 x 4

##
Ã˜
Fourth Step

20
x 2 – 72

##
Ã˜
Fifth Step

40
– 72

##
Ã˜
Sixth Step

-32

By following
these techniques, you will be able to solve any kind of mathematical operation.

#
Self-Practice Examples Relevant to BODMAS Rule

I think,
after reading this article, you have completely learnt the order of operations
of the BODMAS rule. Moreover, I have also explained the order of operations
with the help of examples. Now, its time to do the practice. Its reason is that
we can’t learn math just by reading the articles or content from the books
because math requires practice. Therefore, I am sharing some examples for the
self-practice. After solving these examples, you should share the answers to
these problems in the comment box. I will assign marks after checking your
answers.

Ã˜ 5 + (4 × 52 + 3)

Ã˜ 2000÷10(12−6) + (60−10)

Ã˜ 30 × 2 − (4/2) × 10 × 2^2 (Here, ^ is
used for power or exponent)

Ã˜ (3^3 - 2 × 2) + (5 × 4 – 2^2)

Ã˜ 4/2[{−2(1+3)}20]

Ã˜ 5 × (6 + 2) x 4

After
solving these problems by using BODMAS rule, you should also solve these
problems by using PEMDAS rule. You should also share your experience either you
have got the same answers by using these two rules or you have got different
answers.

#
MCQ’s Relevant to BODMAS Rule and PEMDAS Rule

For a quick
assessment of the students, we have arranged an MCQ’s test. You should participate
in this test.

1. Which operation comes after division in
the BODMAS rule?

a) Addition b) Multiplication c) Subtraction
d) Brackets

2. Which operation comes after parentheses
in PEMDAS rule?

a) Division b) Exponents c)
Multiplication d) Subtraction

3. The solution of the question by using
BODMAS rule is 5 + 7 X (1) – 6

a) 5 b) 7 c) 6 d) 8

4. The answer to this question (12 + 8 X
6)/ 5 – 5 is:

a) 7 b) 10 c) 8 d) 9

5. The answer to the question (15/3 + 20/4)
of 20 is:

a) 100 b) 300 c) 400 d) 200

6.
The
answer to the question 4/2 [{3(1 + 3) * 20}/2] is:

a) 120 b) 240 c) 280 d) 320

Correct answers:

1. Multiplication 2. Exponents
3. 6 4. 7 5. 200 6. 240

## 7 comments

Click here for commentsIs bodmas is applicable for non bracket pblms

Replyyes

ReplyGive me the perfect answer = 15+6x2=?

Reply15 + 12

Reply27

In the example 3 X 5 -1 + 2=

Replystrictly following BODMAS, add before subtract, gives answer 12. However, working from left to right, the answer is 16.

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Reply12

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