**BODMAS rule** is useful to simplify a mathematical equation. The full form of BODMAS is Brackets, Orders, Division, Multiplication, Addition, and Subtraction. Hence, the second preference in this rule is given here to the orders or exponents (x^{n}). Later we perform the arithmetic operations (÷, ×, +, -). We will solve examples based on this rule in the below sections.

### What is BODMAS RULE?

It is an acronym and it stands for Bracket, Order, Division, Multiplication, Addition, and Subtraction. In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction) is used, which is the synonym of BODMAS.

It explains the order of operations to be performed while solving an expression. According to the BODMAS rule, if an expression contains brackets ((), {}, []) we have first to solve or simplify the bracket followed by ‘order’ (that means powers and roots, etc.), then division, multiplication, addition and subtraction from left to right. Solving the problem in the wrong order will result in a wrong answer.

**Note:** The “O” in the BODMAS full form is also called “Order”, which refers to the numbers which involve powers, square roots, etc. Check the examples below to have a better understanding of using the BODMAS rule.

An arithmetic expression that involves multiple operations such as addition, subtraction, multiplication, and division is not easy to solve as compared to operations involving two numbers. An operation on two numbers is easy, but how to solve an expression with brackets and multiple operations and how to simplify a bracket? Let’s recollect the

**BODMAS**rule and learn about the simplification of brackets.

**Example 1: Simplify the Following Equation.**

**(i) 1800 ÷ [10{(12−6)+(24−12)}]**

Solution:

**(i) 1800 ÷ [10{(12−6)+(24−12)}]**

Step 1: Simplify the terms inside {}.

Step 2: Simplify {} and operate with terms outside the bracket.

1800 ÷ [10{(12−6)+(24−12)}]

= 1800 ÷ [10{6+12}]

= 1800 ÷ [10{18}]

Step 3: Simplify the terms inside [ ].

= 1800 ÷ 180

= 10