The full form of **BODMAS** in maths is **Bracket Order Division Multiplication Addition and Subtraction**. There are several signs in mathematics against every numerical calculation. This rule is followed to avoid any confusion while calculation and to reach the same result, when solved by anyone.

Index

**History**

BODMAS was invented by the mathematician *Achilles Reselfelt*.

It is a mnemonic that helps us remember how to evaluate mathematical operators in a statement involving more than one operation.

**Explanation**

As a rule, BODMAS is self-explanatory from its full form; it tells us the priority order of the *mathematical operation*.

**Example:** \((2 + 5)^1 \div 7 + 5\times 3 – 9\)

- The highest priority is given to
**Bracket**.

Any function inside the bracket will be the evaluated first.- Here, the operation inside the bracket is an addition, so we will add 5 & 2

\((2 + 5)^1 \div 7 + 5\times 3 – 9 = (7)^1 \div 7 + 5\times 3 – 9\)

- Here, the operation inside the bracket is an addition, so we will add 5 & 2

**Order**is the Power that is raised on a number such as square, cube, etc.- Here, power is one on 7

\((7)^1 \div 7 + 5\times 3 – 9 = 7 \div 7 + 5 \times 3 – 9\)

- Here, power is one on 7

- The next priority is given to the
**Division**.- Divide 7 by 7, we get,

\(7 \div 7 + 5 \times 3 – 9 = 1 + 5 \times 3 – 9\)

- Divide 7 by 7, we get,

**Multiplication**Comes third,- Multiplying 5 & 3

\(1 + 5 \times 3 – 9 = 1 + 15 – 9\)

- Multiplying 5 & 3

**Addition**comes fourth (or) second last,- Adding 1 to 15

\(1 + 15 – 9 = 16 – 9\)

- Adding 1 to 15

- Finally, the last operation priority is given to
**Subtraction**.- Subtracting 9 from 16

\(16 – 9 = 7\).

- Subtracting 9 from 16

**NOTE:** In addition to BODMAS, there is another Rule known as * PEMDAS* having the full form as

**Parentheses(bracket), Exponential, Multiplication, Division, Addition, Subtraction**.

**Solved Examples**

**Question 1.** \(3 \times (4 \times 5^2) \div 6 + 7 – 8 = ?\)

**Solution.**

3 \times ( 4 \times 25) \div 6 + 7 – 8 \\

= 3 \times (100) \div 6 + 7 – 8 \\ = 3 \times \frac{50}{3} + 7 -8 \\

=> 50 + 7 – 8 \\ = 49 \\

\)

**Question 2.** \(42 \div 2 + a \times 3 − 22 = 8\)

Find value of \(a\).

**Solution.**

42 \div 2 + 3a – 22 = 8 \\

21 + 3a – 22 = 8 \\

3a – 1 = 8 \\

3a = 9 \\

a = 3 \\

\)

Hence, the value of \(a\) is 3.

**FAQs**

**What is BODMAS full form?**BODMAS stands for Bracket Order Division Multiplication Addition and Subtraction.

**What is another Rule like BODMAS?**PEDMAS is the another rule like BODMAS, and the full form is Parentheses(bracket), Exponential, Division, Multiplication, Addition, Subtraction.

**Where can you apply BODMAS?**BODMAS has to be applied when there is more than one operation in an equation or a question.

**What does O stand for in BODMAS?**In the full form of BODMAS, the ‘O’ stands for Order. I.e., power or exponential.