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### Your cart is currently empty. #### What is BODMAS rule ?

• L V Thatch
• Nov, 14 , 21

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 :

 Expression 6 + 7 x 8 Evaluation =  6 + 7 x 8 =  6 + 56 =  62 Operation Multiplication Addition Result

Problem 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

Problem 3 :

Evaluate :

(25 + 11) x 2

Solution :

 Expression (25 + 11) x 2 Evaluation =  (25 + 11) x 2 =  36 x 2 =  72 Operation Bracket Multiplication Result

Problem 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 Bracket Multiplication Division Addition Subtraction Result

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 Operation Bracket Power Parenthesis Parenthesis Addition Subtraction Result

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 Operation Bracket Multiplication Division Addition Result

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 Operation Bracket Division Subtraction Subtraction Result

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 Operation Bracket Division Multiplication Addition Result

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 Operation Bracket Multiplication Division Subtraction Result
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