BODMAS

BODMAS

BODMAS RULE

BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. In certain regions, PEDMAS (Parentheses, Exponents, Division, Multiplication, Addition and Subtraction) is the synonym of BODMAS.

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

 

 

 

 

 

 

 

 

 

 

 

 

 

 

SIMPLIFICATION OF BRACKETS

Simplification of brackets in an expression means expansion of brackets. We can remove brackets from an expression by expanding them by multiplication. We use distributive law of multiplication over addition or subtraction. Generally, it can be written as:

Notes: The order of brackets to be simplified is (), {}, [].

Example 2: Expand and simplify

Solution:

1. The terms inside the bracket are like terms. We can solve this by two methods.

Method 1:  Add the terms inside the bracket and multiply the number outside bracket with the sum.

                                                    

Method 2: Multiply the number outside the bracket with each term inside the bracket and add the products.

1. Here the terms are unlike. This can be simplified by multiplying the number outside the bracket with the terms inside the bracket and add the products.

 

 

 

 

 

 

 

 

Step 1: Simplify the terms inside {}.

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

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(ii) [Math Processing Error]

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

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

 

Condition

Rule

Open the bracket and add the terms.

Open the bracket and multiply the negative sign with each term inside the bracket.   *(All positive terms will be negative and vice-versa)

Multiply term outside with each term inside the bracket