# 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!

----> Brackets

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

D ----> Division

----> Multiplication

----> 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 :

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

Problem 2 :

Evaluate :

102 - 16 ÷ 8

Solution :

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

Problem 3 :

Evaluate :

(25 + 11) x 2

Solution :

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

Problem 4 :

Evaluate :

3 + 6 x (5 + 4) ÷ 3 -7

Solution :

 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 :

56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10

Solution :

 Evaluation= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10= 56 - 2(20 + 12 ÷ 4 x 3 - 2 x 2) + 10= 56 - 2(20 + 3 x 3 - 2 x 2) + 10= 56 - 2(20 + 9 - 4) + 10= 56 - 2(29 - 4) + 10= 56 - 2(25) + 10= 56 - 50 + 10= 6 + 10= 16 OperationBracketDivisionMultiplicationAdditionSubtractionMultiplicationSubtractionAdditionResult

Problem 6 :

Evaluate :

6 + [(16 - 4) ÷ (22 + 2)] - 2

Solution :

 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 OperationSquare BracketPowerBracketSquare BracketAdditionSubtractionResult

Problem 7 :

Evaluate :

(96 ÷ 12) + 14 x (12 + 8) ÷ 2

Solution :

 Evaluation= (96 ÷ 12) + 14 x (12 + 8) ÷ 2= 8 + 14 x 20 ÷ 2= 8 + 280 ÷ 2= 8 + 140 = 148 OperationBracketMultiplicationDivisionAdditionResult

Problem 8 :

Evaluate :

(93 + 15) ÷ (3 x 4) - 24 + 8

Solution :

 Evaluation= (93 + 15) ÷ (3 x 4) - 24 + 8 = 108 ÷ 12 - 24 + 8 = 9 - 24 + 8= -15 + 8= -7 OperationBracketDivisionSubtractionSubtractionResult

Problem 9 :

Evaluate :

55 ÷ 11 + (18 - 6) x 9

Solution :

 Evaluation= 55 ÷ 11 + (18 - 6)  x 9 = 55 ÷ 11 + 12 x 9= 5 + 12 x 9= 5 + 108= 113 OperationBracketDivisionMultiplicationAdditionResult

Problem 10 :

Evaluate :

(7 + 18) x 3 ÷ (2 + 13) - 28

Solution :

 Evaluation= (7 + 18) x 3 ÷ (2 + 13) - 28= 25 x 3 ÷ 15 - 28= 75 ÷ 15 - 28= 5 - 28= -23 OperationBracketMultiplicationDivisionSubtractionResult

Problem 11 :

Evaluate :

[11 - 20 ÷ (52 - 13) ÷ 3 + 8] x 2

Solution :

 Evaluation= [11 - 20 + (52 - 13) ÷ 3 x 8] x 2= [11 - 20 + (52 - 13) ÷ 3 x 8] x 2= [11 - 20 + (52 - 13) ÷ 3 x 8] x 2.= [11 - 20 + (25 - 13) ÷ 3 x 8] x 2= [11 - 20 + 12 ÷ 3 x 8] x 2= [11 - 20 + 4 x 8] x 2= [11 - 20 + 32] x 2= [-9 + 32] x 2= 23 x 2= 46 OperationBracket2Bracket2Exponent2BracketDivisionMultiplicationSubtractionBracketMultiplicationResult

Problem 12 :

Evaluate :

a- (b2 + c) ÷ a + (ab + c)

if a = 4, b = -3 and c = 7.

Solution :

a- (b2 + c) ÷ a + (ab + c)

Substitute a = 4, b = -3 and c = 7.

4- [(-3)2 + 7] ÷ 4 + [4(-3) + 7]

 Evaluation= 43 - [(-3)2 + 7] ÷ 4 + [4(-3) + 7]= 43 - [(-3)2 + 7] ÷ 4 + [4(-3) + 7]= 43 - [9 + 7] ÷ 4 + [4(-3) + 7]= 43 - 16 ÷ 4 + [-12 + 7]= 43 - 16 ÷ 4 - 5= 64 - 16 ÷ 4 - 5= 64 - 4 - 5= 60 - 5= 55 OperationBrackets2Exponent2Brackets22Bracket2Exponent2DivisionSubtractionSubtractionResult

Problem 13 :

Evaluate :

Solution :

Problem 14 :

Evaluate :

Solution :

Problem 15 :

Evaluate :

Solution :

Problem 16 :

What is the value of

if a = -2, b = 3 and c = 5.

Solution :

Problem 17 :

What is the value of

if a = 4, b = -3 and c = 7.

Solution :

Problem 18 :

What is the value of

if a = 3, b = -1 and c = -2.

Solution :

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