# What is BODMAS Rule? Definition, Formula and Examples

BODMAS is a sequence of solving mathematical simplification questions. We cannot solve simplification questions without order. To make this easier, BODMAS is used so that students can easily solve simplification questions and remember this sequence or pattern.

## Operations in Mathematics

In Mathematics, operations are what you do to the numbers given. The four main operations are in mathematics:

- Addition (+)
- Subtraction (-)
- Multiplication (x)
- Division (÷)

## Meaning of BODMAS

BODMAS is an abbreviation of this sequence in English. The full name of BODMAS is Bracket, Order (powers and square roots), Division, Multiplication, Addition, and Subtraction.

- B:- Bracket
- O:- Order (powers and square roots)
- D:- Division
- M:- Multiplication
- A:- Addition
- S:- Subtraction

In simple words, this rule tells which process in mathematics will take place. That is, Mathematics gives the correct sequence of solving operations. According to this, the first one has to solve in the order of Bracket, Power, Division, Multiplication, Addition, and Subtraction.

## Type Of Bracket

Let us first solve the bracket in the BODMAS rule. Before understanding BODMAS it is very important to understand the type and rule of brackets. There are generally four types of brackets used in mathematics equations, which use the following sequence to solve them:-

- ⎯⎯⎯ Line Bracket
- ( ) Parenthesis or Small or Simple Bracket
- { } Middle or Curly Bracket
- [ ] Big or Square Bracket

In the BODMAS rule, we first solve the **Line Bracket**, then the **Small Bracket**, then the **Middle or Curly Bracket**, and finally the **Big or Square Bracket**. This is how the rule of BODMAS is applied.

It is very easy to apply the law of BODMAS if you understand this pattern well then you will never have any problem in solving simplification questions.

### What is the importance of the BODMAS rule?

Often we solve small Mathematics questions, but where we have to use the BODMAS rule to solve the question made by 3 operations.

Bodmas rule is an exact series, if you do not solve the Mathematics question according to this series then your answer may be wrong. For example, if you add before multiplication, your answer will be wrong. Therefore it becomes necessary to follow the BODMAS rule.

### Where does the BODMAS rule use?

When we are given the marks related to simplification, that is, the addition, subtraction, multiplication, division, etc., to solve the questions of maths when solving them on the right and left side or any other way, then the same There are many answers to the question. To avoid this problem we use BODMAS Rule. When an equation related to addition, subtraction, multiplication, the division is given and in that equation at least three of these signs are present there, then use the BODMAS rule over there.

#### Examples:-

**Q1.** **Simplify:** **2 × 6 + 9 – 9 ÷ 3**

Solv. = 2 × 6 + 9 – 3

= 12 + 9 – 3

= 21 – 3 = 18 **Ans**

**Q2.** **Simplify: 2**** + 4 {3 (7 + 8 – 3) ÷ 4} – 6**

**Step 1:** Simplify the terms inside ( ) followed by { }.

**Step 2:** Operate terms with the terms outside the bracket.

Solv. = 2 + 4 {3 (15 – 3) ÷ 4} – 6

= 2 + 4 {3 × 12 ÷ 4} – 6

= 2 + 4 {3 × 3} – 6

= 2 + 4 × 9 – 6

= 2 + 36 – 6

= 38 – 6 = 32 **Ans**

**Q3.** **Simplify: 3 + 6 × (5 + 4) ÷ 3 – 7**

Solv. = 3 + 6 × 9 ÷ 3 – 7

= 3 + 54 ÷ 3 – 7

= 3 + 18 – 7

= 21 – 7 = 14 Ans

**Q4. Simplify: 3 + 2 [5 {2 (1 + 2) } 10] + 1**

**Step 1:** Simplify the terms inside () followed by {}, then [].

**Step 2:** Operate terms with the terms outside the bracket.

Solv. = 3 + 2 [5 {2 × 3} 10] + 1

= 3 + 2 [5 × 6 × 10] + 1

= 3 + 2 × 300 + 1

= 3 + 600 + 1

= 604 Ans