# ORDER OF OPERATIONS WORKSHEETS ## About "Order of operations worksheets"

Order of operations worksheets are much useful to the kids who would like to practice problems on the binary operations like add, subtract, multiply, divide, squaring,etc.

When we have two or more operations in the same expression, we may have question about which one has to be done first, which one has to be done next.

But order of operations or bodmas rule or pemdas rule tells us in which order we have to do the operations one by one.

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

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 "Order of operations", let us look at order of operations worksheets problems.

## Order of operations worksheets problems

1. Evaluate : 6 + 7 x 8

2. Evaluate : 10² - 16 ÷ 8

3. Evaluate : (25 + 11) x 2

4. Evaluate : 3 + 6 x (5+4) ÷ 3 -7

5. Evaluate : 36 - 2(20+12÷4x3-2x2) + 10

6. Evaluate : 6+[(16-4)÷(2²+2)]-2

7. Evaluate :  (96÷12)+14x(12+8)÷2

8. Evaluate : (93+15) ÷ (3x4) - 24 + 8

9. Evaluate : 55 ÷ 11 + (18 - 6) x 9

10. Evaluate : (7 + 18) x 3 ÷(2+13) - 28

Here, they are

## Step by step solution

Problem 1 :

Evaluate : 6 + 7 x 8

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

Problem 2 :

Evaluate : 10² - 16 ÷ 8

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

Problem 3 :

Evaluate : (25 + 11) x 2

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

Problem 4 :

Evaluate : 3 + 6 x (5+4) ÷ 3 -7

 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 OperationParenthesisMultiplicationDivisionAdditionSubtractionResult

Problem 5 :

Evaluate : 36 - 2(20+12÷4x3-2x2) + 10 Problem 6 :

Evaluate : 6+[(16-4)÷(2²+2)]-2

 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 OperationParenthesisPowerParenthesisParenthesisAdditionSubtractionResult

Problem 7 :

Evaluate :  (96÷12)+14x(12+8)÷2

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

Problem 8 :

Evaluate : (93+15) ÷ (3x4) - 24 + 8

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

Problem 9 :

Evaluate : 55 ÷ 11 + (18 - 6) x 9

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

Problem 10 :

Evaluate : (7 + 18) x 3 ÷(2+13) - 28

 Expression(7+18)x3÷(2+13)- 28 Evaluation= (7+18)x3÷(2+13)-28= 25x3 ÷ 15 - 28= 75 ÷ 15 - 28= 5 - 28= -23 OperationParenthesesMultiplicationDivisionSubtractionResult

We hope that the students would have understood the stuff given on "Order of operations worksheets".

Apart from the example problems explained above, if you want to know more about "Order of operations worksheets", please click here.