Step 3: Step 4: Add or Subtract

Solving Problems Using Order of Operations

Solve the following problems using the order of operations.

Name:

Answers

Step 1: Parenthesis ()

Solve all problems in parenthesis FIRST.

1.

Step 2: Exponents 2,3,4

Next solve any numbers that have exponents.

2.

Step 3: Multiply or Divide ?, ? Then solve any multiplication or division problems (going from left to right).

Step 4: Add or Subtract +, -

Finally solve any addition or subtraction problems (going from left to right). 3.

1) 21 ? 3 + (3 ? 9) ? 9 + 5

2) 18 ? 6 ? (4 - 3) + 6

4.

5.

6.

3) 14 - 8 + 3 + 8 ? (24 ? 8)

7.

4) 4 ? 5 + (14 + 8) - 36 ? 9

8.

9.

5) (17 - 7) ? 6 + 2 + 56 - 8

10.

6) (28 ? 4 ) + 3 + ( 10 - 8 ) ? 5

7) 12 - 5 + 6 ? 3 + 20 ? 4

8) 36 ? 9 + 48 - 10 ? 2

9) 10 + 8 ? 90 ? 9 - 4

10) 8 ? 3 + 70 ? 7 - 7

Math



1

1-10 90 80 70 60 50 40 30 20 10 0

Solving Problems Using Order of Operations

Solve the following problems using the order of operations.

Name: Answer Key

Answers

Step 1: Parenthesis ()

Solve all problems in parenthesis FIRST.

1.

Step 2: Exponents 2,3,4

Next solve any numbers that have exponents.

2.

Step 3: Multiply or Divide ?, ? Then solve any multiplication or division problems (going from left to right).

Step 4: Add or Subtract +, -

Finally solve any addition or subtraction problems (going from left to right). 3.

1) 21 ? 3 + (3 ? 9) ? 9 + 5

Step 1: (3 ? 9) = 27 21 ? 3 + 27 ? 9 + 5

Step 2: 21 ? 3 = 7

7 + 27 ? 9 + 5

Step 3: 27 ? 9 = 243

7 + 243 + 5

Step 4: 7 + 243 = 250

250 + 5

Step 5: 250 + 5 = 255

255

3) 14 - 8 + 3 + 8 ? (24 ? 8)

Step 1: (24 ? 8) = 3

14 - 8 + 3 + 8 ? 3

Step 2: 8 ? 3 = 24

14 - 8 + 3 + 24

Step 3: 14 - 8 = 6

6 + 3 + 24

Step 4: 6 + 3 = 9

9 + 24

Step 5: 9 + 24 = 33

33

2) 18 ? 6 ? (4 - 3) + 6

4.

Step 1: (4 - 3) = 1

18 ? 6 ? 1 + 6

Step 2: 18 ? 6 = 3 Step 3: 3 ? 1 = 3

3 ? 1 + 6

5.

3 + 6

Step 4: 3 + 6 = 9

9

6.

7.

4) 4 ? 5 + (14 + 8) - 36 ? 9

Step 1: (14 + 8) = 22 Step 2: 4 ? 5 = 20

4 ? 5 + 22 - 36 ? 9 8.

20 + 22 - 36 ? 9

Step 3: 36 ? 9 = 4 Step 4: 20 + 22 = 42

20 + 22 - 4

9.

42 - 4

Step 5: 42 - 4 = 38

38

10.

255 9 33 38 110 20 30 47 86 27

5) (17 - 7) ? 6 + 2 + 56 - 8

Step 1: (17 - 7) = 10 10 ? 6 + 2 + 56 - 8

Step 2: 10 ? 6 = 60

60 + 2 + 56 - 8

Step 3: 60 + 2 = 62

62 + 56 - 8

Step 4: 62 + 56 = 118

118 - 8

Step 5: 118 - 8 = 110

110

6) (28 ? 4 ) + 3 + ( 10 - 8 ) ? 5

Step 1: (28 ? 4 ) = 7 7 + 3 + ( 10 - 8 ) ? 5

Step 2: ( 10 - 8 ) = 2

7 + 3 + 2 ? 5

Step 3: 2 ? 5 = 10

7 + 3 + 10

Step 4: 7 + 3 = 10

10 + 10

Step 5: 10 + 10 = 20

20

7) 12 - 5 + 6 ? 3 + 20 ? 4

Step 1: 6 ? 3 = 18

12 - 5 + 18 + 20 ? 4

Step 2: 20 ? 4 = 5

12 - 5 + 18 + 5

Step 3: 12 - 5 = 7

7 + 18 + 5

Step 4: 7 + 18 = 25

25 + 5

Step 5: 25 + 5 = 30

30

8) 36 ? 9 + 48 - 10 ? 2

Step 1: 36 ? 9 = 4 Step 2: 10 ? 2 = 5 Step 3: 4 + 48 = 52 Step 4: 52 - 5 = 47

4 + 48 - 10 ? 2 4 + 48 - 5 52 - 5 47

9) 10 + 8 ? 90 ? 9 - 4

Step 1: 8 ? 90 = 720 Step 2: 720 ? 9 = 80 Step 3: 10 + 80 = 90 Step 4: 90 - 4 = 86

10 + 720 ? 9 - 4 10 + 80 - 4 90 - 4 86

10) 8 ? 3 + 70 ? 7 - 7

Step 1: 8 ? 3 = 24 Step 2: 70 ? 7 = 10 Step 3: 24 + 10 = 34 Step 4: 34 - 7 = 27

Math



1

24 + 70 ? 7 - 7 24 + 10 - 7 34 - 7 27

1-10 90 80 70 60 50 40 30 20 10 0

Solving Problems Using Order of Operations

Solve the following problems using the order of operations.

Name:

Answers

Step 1: Parenthesis ()

Solve all problems in parenthesis FIRST.

1.

Step 2: Exponents 2,3,4

Next solve any numbers that have exponents.

2.

Step 3: Multiply or Divide ?, ? Then solve any multiplication or division problems (going from left to right).

Step 4: Add or Subtract +, -

Finally solve any addition or subtraction problems (going from left to right). 3.

1) 30 ? 5 + (5 ? 6) ? 19 + 4

2) 35 ? 7 ? (7 - 4) + 2

4.

5.

6.

3) 3 - 2 + 3 + 7 ? (16 ? 8)

7.

4) 5 ? 2 + (11 + 8) - 18 ? 9

8.

9.

5) (11 - 8) ? 3 + 7 + 27 - 3

10.

6) (12 ? 3 ) + 3 + ( 16 - 7 ) ? 4

7) 10 - 7 + 9 ? 5 + 28 ? 4

8) 6 ? 3 + 24 - 25 ? 5

9) 4 + 2 ? 18 ? 6 - 9

10) 8 ? 3 + 40 ? 5 - 8

Math



2

1-10 90 80 70 60 50 40 30 20 10 0

Solving Problems Using Order of Operations

Solve the following problems using the order of operations.

Name: Answer Key

Answers

Step 1: Parenthesis ()

Solve all problems in parenthesis FIRST.

1.

Step 2: Exponents 2,3,4

Next solve any numbers that have exponents.

2.

Step 3: Multiply or Divide ?, ? Then solve any multiplication or division problems (going from left to right).

Step 4: Add or Subtract +, -

Finally solve any addition or subtraction problems (going from left to right). 3.

1) 30 ? 5 + (5 ? 6) ? 19 + 4

Step 1: (5 ? 6) = 30 30 ? 5 + 30 ? 19 + 4

Step 2: 30 ? 5 = 6

6 + 30 ? 19 + 4

Step 3: 30 ? 19 = 570

6 + 570 + 4

Step 4: 6 + 570 = 576

576 + 4

Step 5: 576 + 4 = 580

580

3) 3 - 2 + 3 + 7 ? (16 ? 8)

Step 1: (16 ? 8) = 2

3 - 2 + 3 + 7 ? 2

Step 2: 7 ? 2 = 14

3 - 2 + 3 + 14

Step 3: 3 - 2 = 1

1 + 3 + 14

Step 4: 1 + 3 = 4

4 + 14

Step 5: 4 + 14 = 18

18

2) 35 ? 7 ? (7 - 4) + 2

4.

Step 1: (7 - 4) = 3

35 ? 7 ? 3 + 2

Step 2: 35 ? 7 = 5 Step 3: 5 ? 3 = 15

5 ? 3 + 2

5.

15 + 2

Step 4: 15 + 2 = 17

17

6.

7.

4) 5 ? 2 + (11 + 8) - 18 ? 9

Step 1: (11 + 8) = 19 Step 2: 5 ? 2 = 10

5 ? 2 + 19 - 18 ? 9 8.

10 + 19 - 18 ? 9

Step 3: 18 ? 9 = 2 Step 4: 10 + 19 = 29

10 + 19 - 2

9.

29 - 2

Step 5: 29 - 2 = 27

27

10.

580 17 18 27 40 43 55 21 1 24

5) (11 - 8) ? 3 + 7 + 27 - 3

Step 1: (11 - 8) = 3

3 ? 3 + 7 + 27 - 3

Step 2: 3 ? 3 = 9

9 + 7 + 27 - 3

Step 3: 9 + 7 = 16

16 + 27 - 3

Step 4: 16 + 27 = 43

43 - 3

Step 5: 43 - 3 = 40

40

6) (12 ? 3 ) + 3 + ( 16 - 7 ) ? 4

Step 1: (12 ? 3 ) = 4 4 + 3 + ( 16 - 7 ) ? 4

Step 2: ( 16 - 7 ) = 9

4 + 3 + 9 ? 4

Step 3: 9 ? 4 = 36

4 + 3 + 36

Step 4: 4 + 3 = 7

7 + 36

Step 5: 7 + 36 = 43

43

7) 10 - 7 + 9 ? 5 + 28 ? 4

Step 1: 9 ? 5 = 45

10 - 7 + 45 + 28 ? 4

Step 2: 28 ? 4 = 7

10 - 7 + 45 + 7

Step 3: 10 - 7 = 3

3 + 45 + 7

Step 4: 3 + 45 = 48

48 + 7

Step 5: 48 + 7 = 55

55

8) 6 ? 3 + 24 - 25 ? 5

Step 1: 6 ? 3 = 2 Step 2: 25 ? 5 = 5 Step 3: 2 + 24 = 26 Step 4: 26 - 5 = 21

2 + 24 - 25 ? 5 2 + 24 - 5 26 - 5 21

9) 4 + 2 ? 18 ? 6 - 9

Step 1: 2 ? 18 = 36 Step 2: 36 ? 6 = 6 Step 3: 4 + 6 = 10 Step 4: 10 - 9 = 1

4 + 36 ? 6 - 9 4 + 6 - 9 10 - 9 1

10) 8 ? 3 + 40 ? 5 - 8

Step 1: 8 ? 3 = 24 Step 2: 40 ? 5 = 8 Step 3: 24 + 8 = 32 Step 4: 32 - 8 = 24

Math



2

24 + 40 ? 5 - 8 24 + 8 - 8 32 - 8 24

1-10 90 80 70 60 50 40 30 20 10 0

Solving Problems Using Order of Operations

Solve the following problems using the order of operations.

Name:

Answers

Step 1: Parenthesis ()

Solve all problems in parenthesis FIRST.

1.

Step 2: Exponents 2,3,4

Next solve any numbers that have exponents.

2.

Step 3: Multiply or Divide ?, ? Then solve any multiplication or division problems (going from left to right).

Step 4: Add or Subtract +, -

Finally solve any addition or subtraction problems (going from left to right). 3.

1) 48 ? 6 + (5 ? 6) ? 13 + 6

2) 54 ? 6 ? (12 - 4) + 2

4.

5.

6.

3) 8 - 4 + 5 + 6 ? (60 ? 6)

7.

4) 9 ? 5 + (13 + 5) - 10 ? 2

8.

9.

5) (10 - 8) ? 7 + 6 + 16 - 4

10.

6) (18 ? 3 ) + 6 + ( 14 - 8 ) ? 5

7) 11 - 4 + 5 ? 7 + 48 ? 8

8) 45 ? 9 + 12 - 9 ? 3

9) 14 + 6 ? 9 ? 3 - 8

10) 5 ? 7 + 12 ? 6 - 5

Math



3

1-10 90 80 70 60 50 40 30 20 10 0

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