BODMAS RULE



About "BODMAS rule"

What is BODMAS rule ?
The rule or order that we use to simplify expressions in math is called "BODMAS" rule.
Very simply way to remember  BODMAS rule! 
       B -----> Brackets first (Parentheses)
       O -----> Of (orders :Powers and radicals) 
       D -----> Division
       M -----> Multiplication
       A -----> Addition
       S -----> Subtraction
Important notes :
1. In a particular simplification, if you have both multiplication and division, do the operations one by one in the order from left to right.
2. Division does not always come before multiplication. We have to do one by one in the order from left to right. 
3. In a particular simplification, if you have both addition and subtraction, do the operations one by one in the order from left to right.
Examples : 
12 ÷ 3 x 5  =  4 x 5  =  20
13 - 5 + 9   =  8 + 9  =  17 
In the above simplification, we have both division and multiplication. From left to right, we have division first and multiplication next. So we do division first and multiplication next.
To have better understanding on BODMAS rule, let us look at some more examples.

Bodmas Rule - Examples

Example 1 :
Evaluate :
6 + 7 x 8
Solution :
Expression
6 + 7 x 8


Evaluation
=  6 + 7 x 8
=  6 + 56
=  62
Operation
Multiplication
Addition
Result
Example 2 :
Evaluate :
10² - 16 ÷ 8
Solution :
Expression
10² - 16 ÷ 8
Evaluation
=  10² - 16 ÷ 8
=  100 - 16 ÷ 8
=  100 - 2
=  98
Operation
Power
Division
Subtraction
Result
Example 3 :
Evaluate :
(25 + 11) x 2
Solution :
Expression
(25 + 11) x 2
Evaluation
=  (25 + 11) x 2
=  36 x 2
=  72
Operation
Parenthesis
Multiplication
Result
Example 4 :
Evaluate :
3 + 6 x (5 + 4) ÷ 3 -7
Solution :
Expression
3 + 6 x (5+4) ÷ 3 -7
Evaluation
=  3 + 6 x (5+4) ÷ 3 -7
=  3 + 6 x 9 ÷ 3 -7
=  3 + 54 ÷ 3 -7
=   3 + 18 -7
=   21 - 7
=   14
Operation
Parenthesis
Multiplication
Division
Addition
Subtraction
Result

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