# 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

O -----> Of (orders :Powers and radicals)

D -----> Division

M -----> Multiplication

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.

## Solved Problems

Problem 1 :

Evaluate :

6 + 7 x 8

Solution :

 Expression6 + 7 x 8 Evaluation=  6 + 7 x 8=  6 + 56 =  62 OperationMultiplicationAdditionResult

Problem 2 :

Evaluate :

102 - 16 ÷ 8

Solution :

 Expression102 - 16 ÷ 8 Evaluation=  102 - 16 ÷ 8=  100 - 16 ÷ 8=  100 - 2=  98 OperationPowerDivisionSubtractionResult

Problem 3 :

Evaluate :

(25 + 11) x 2

Solution :

 Expression(25 + 11) x 2 Evaluation=  (25 + 11) x 2=  36 x 2=  72 OperationBracketMultiplicationResult

Problem 4 :

Evaluate :

3 + 6 x (5 + 4) ÷ 3 -7

Solution :

 Expression3 + 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 OperationBracketMultiplicationDivisionAdditionSubtractionResult

Problem 5 :

Evaluate :

36 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Solution : Problem 6 :

Evaluate :

6 + [(16 - 4) ÷ (22 + 2)] - 2

Solution :

 Expression 6+[(16-4)÷(22+2)]-2 Evaluation= 6+[(16-4)÷(22+2)]-2= 6+[12÷(2²+2)]-2= 6+[12÷(4+2)]-2= 6+[12÷6]-2= 6+2 - 2= 8 - 2= 6 OperationBracketPowerParenthesisParenthesisAdditionSubtractionResult

Problem 7 :

Evaluate :

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

Solution :

 Expression (96÷12)+14x(12+8) ÷ 2 Evaluation=(96÷12)+14x(12+8) ÷ 2= 8 + 14x20 ÷ 2= 8 + 280 ÷ 2= 8 + 140 = 148 OperationBracketMultiplicationDivisionAdditionResult

Problem 8 :

Evaluate :

(93 + 15) ÷ (3 x 4) - 24 + 8

Solution :

 Expression (93+15)÷(3x4)-24+8 Evaluation= (93+15)÷(3x4)-24+8 = 108 ÷ 12 - 24 + 8 =  9 - 24 + 8= -15 + 8=  -7 OperationBracketDivisionSubtractionSubtractionResult

Problem 9 :

Evaluate :

55 ÷ 11 + (18 - 6) x 9

Solution :

 Expression 55÷11+(18-6)x9 Evaluation= 55÷11+(18-6)x9 = 55÷11 + 12x9= 5 + 12x9= 5 + 108= 113 OperationBracketDivisionMultiplicationAdditionResult

Problem 10 :

Evaluate :

(7 + 18) x 3 ÷ (2 + 13) - 28

Solution :

 Expression(7+18)x3÷(2+13)- 28 Evaluation= (7+18)x3÷(2+13)-28= 25 x 3 ÷ 15 - 28= 75 ÷ 15 - 28= 5 - 28= -23 OperationBracketMultiplicationDivisionSubtractionResult Apart from the stuff given above, iyou need any other stuff in math, please use our google custom search here.

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