Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.

Solving Problems Using Order of Operations Name:

2.
Solve the following problems using the order of operations. Answers
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).

9) 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Solving Problems Using Order of Operations Name: Answer Key
2 3 4
Step
Solve2: Exponents ,,
the following Next
problems solve the
using any numbers
order ofthat have exponents.
operations. Answers
2. Step 3: Multiply or
Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

3.

1) 21 ÷ 3 + (3 × 9) × 9 + 5 2) 18 ÷ 6 × (4 - 3) + 6
4.

5.

6.

7.
3) 14 - 8 + 3 + 8 × (24 ÷ 8) 4) 4 × 5 + (14 + 8) - 36 ÷ 9

8.

9.

10.

5) (17 - 7) × 6 + 2 + 56 - 8 6) (28 ÷ 4 ) + 3 + ( 10 - 8 ) × 5

7) 12 - 5 + 6 × 3 + 20 ÷ 4 8) 36 ÷ 9 + 48 - 10 ÷ 2

- -
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Solving Problems Using Order of Operations Name:
2 3 4
Step
Solve2: Exponents ,,
the following Next
problems solve the
using any numbers
order ofthat have exponents.
operations. Answers
2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

10 + 8 × 90 ÷ 9 - 4 8 × 3 + 70 ÷ 7 7

1
255

9
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 33
3.

1) 21 ÷ 3 + (3 × 9) × 9 + 5 2) 18 ÷ 6 × (4 - 3) + 6 4. 38
Step 1: (3 × 9) = 27 21 ÷ 3 + 27 × 9 + 5 Step 1: (4 - 3) = 1 18 ÷ 6 × 1 + 6

Step 2: 21 ÷ 3 = 7 7 + 27 × 9 + 5 Step 2: 18 ÷ 6 = 3 3×1+6 5. 110

Step 3: 27 × 9 = 243 7 + 243 + 5 Step 3: 3 × 1 = 3 3+6

Step 4: 7 + 243 = 250 250 + 5 Step 4: 3 + 6 = 9 9 6. 20

Step 5: 250 + 5 = 255 255

7. 30
3) 14 - 8 + 3 + 8 × (24 ÷ 8) 4) 4 × 5 + (14 + 8) - 36 ÷ 9

Step 1: (24 ÷ 8) = 3 14 - 8 + 3 + 8 × 3 Step 1: (14 + 8) = 22 4 × 5 + 22 - 36 ÷ 9 8. 47

Step 2: 8 × 3 = 24 14 - 8 + 3 + 24 Step 2: 4 × 5 = 20 20 + 22 - 36 ÷ 9

Step 3: 14 - 8 = 6 6 + 3 + 24 Step 3: 36 ÷ 9 = 4 20 + 22 - 4 9. 86
Step 4: 6 + 3 = 9 9 + 24 Step 4: 20 + 22 = 42 42 - 4

9) - 10) -

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Math www.CommonCoreSheets.com
 Solving Problems Using Order of Operations Name: Answer Key
2 3 4
Step
Solve2: Exponents ,,
the following Next
problems solve the
using any numbers
order ofthat have exponents.
operations. Answers
2. Step 3: Multiply or
Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 5: 9 + 24 = 33 33 Step 5: 42 - 4 = 38 38 10. 27

5) (17 - 7) × 6 + 2 + 56 - 8 6) (28 ÷ 4 ) + 3 + ( 10 - 8 ) × 5
Step 1: (17 - 7) = 10 10 × 6 + 2 + 56 - 8 Step 1: (28 ÷ 4 ) = 7 7 + 3 + ( 10 - 8 ) × 5
Step 2: 10 × 6 = 60 60 + 2 + 56 - 8 Step 2: ( 10 - 8 ) = 2 7+3+2×5
Step 3: 60 + 2 = 62 62 + 56 - 8 Step 3: 2 × 5 = 10 7 + 3 + 10
Step 4: 62 + 56 = 118 118 - 8 Step 4: 7 + 3 = 10 10 + 10
Step 5: 118 - 8 = 110 110 Step 5: 10 + 10 = 20 20

7) 12 - 5 + 6 × 3 + 20 ÷ 4 8) 36 ÷ 9 + 48 - 10 ÷ 2
Step 1: 6 × 3 = 18 12 - 5 + 18 + 20 ÷ 4 Step 1: 36 ÷ 9 = 4 4 + 48 - 10 ÷ 2
Step 2: 20 ÷ 4 = 5 12 - 5 + 18 + 5 Step 2: 10 ÷ 2 = 5 4 + 48 - 5
Step 3: 12 - 5 = 7 7 + 18 + 5 Step 3: 4 + 48 = 52 52 - 5
Step 4: 7 + 18 = 25 25 + 5 Step 4: 52 - 5 = 47 47
Step 5: 25 + 5 = 30 30

9) 10 + 8 × 90 ÷ 9 - 4 10) 8 × 3 + 70 ÷ 7 - 7
Step 1: 8 × 90 = 720 10 + 720 ÷ 9 - 4 Step 1: 8 × 3 = 24 24 + 70 ÷ 7 - 7
Step 2: 720 ÷ 9 = 80 10 + 80 - 4 Step 2: 70 ÷ 7 = 10 24 + 10 - 7
Step 3: 10 + 80 = 90 90 - 4 Step 3: 24 + 10 = 34 34 - 7
Step 4: 90 4 = 86 86 Step 4: 34 7 = 27 27

1
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.

- -
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Solving Problems Using Order of Operations Name:
2 3 4
Step
Solve2: Exponents ,,
the following Next
problems solve the
using any numbers
order ofthat have exponents.
operations. Answers
2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

5.

6.

7.
3) 3 - 2 + 3 + 7 × (16 ÷ 8) 4) 5 × 2 + (11 + 8) - 18 ÷ 9

8.

9.

10.

5) (11 - 8) × 3 + 7 + 27 - 3 6) (12 ÷ 3 ) + 3 + ( 16 - 7 ) × 4

7) 10 - 7 + 9 × 5 + 28 ÷ 4 8) 6 ÷ 3 + 24 - 25 ÷ 5

4 + 2 × 18 ÷ 6 9 8 × 3 + 40 ÷ 5 8

9) - 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Solving Problems Using Order of Operations Name: Answer Key
2 3 4
Step
Solve2: Exponents ,,
the following Next
problems solve the
using any numbers
order ofthat have exponents.
operations. Answers
2. Step 3: Multiply or
Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

- -
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

580
17
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 18
3.

1) 30 ÷ 5 + (5 × 6) × 19 + 4 2) 35 ÷ 7 × (7 - 4) + 2 4. 27
Step 1: (5 × 6) = 30 30 ÷ 5 + 30 × 19 + 4 Step 1: (7 - 4) = 3 35 ÷ 7 × 3 + 2

Step 2: 30 ÷ 5 = 6 6 + 30 × 19 + 4 Step 2: 35 ÷ 7 = 5 5×3+2 5. 40

Step 3: 30 × 19 = 570 6 + 570 + 4 Step 3: 5 × 3 = 15 15 + 2

Step 4: 6 + 570 = 576 576 + 4 Step 4: 15 + 2 = 17 17 6. 43

Step 5: 576 + 4 = 580 580

7. 55
3) 3 - 2 + 3 + 7 × (16 ÷ 8) 4) 5 × 2 + (11 + 8) - 18 ÷ 9

Step 1: (16 ÷ 8) = 2 3-2+3+7×2 Step 1: (11 + 8) = 19 5 × 2 + 19 - 18 ÷ 9 8. 21

Step 2: 7 × 2 = 14 3 - 2 + 3 + 14 Step 2: 5 × 2 = 10 10 + 19 - 18 ÷ 9

Step 3: 3 - 2 = 1 1 + 3 + 14 Step 3: 18 ÷ 9 = 2 10 + 19 - 2 9. 1
Step 4: 1 + 3 = 4 4 + 14 Step 4: 10 + 19 = 29 29 - 2

Step 5: 4 + 14 = 18 18 Step 5: 29 - 2 = 27 27 10. 24

5) (11 - 8) × 3 + 7 + 27 - 3 6) (12 ÷ 3 ) + 3 + ( 16 - 7 ) × 4
Step 1: (11 - 8) = 3 3 × 3 + 7 + 27 - 3 Step 1: (12 ÷ 3 ) = 4 4 + 3 + ( 16 - 7 ) × 4
Step 2: 3 × 3 = 9 9 + 7 + 27 - 3 Step 2: ( 16 - 7 ) = 9 4+3+9×4
Step 3: 9 + 7 = 16 16 + 27 - 3 Step 3: 9 × 4 = 36 4 + 3 + 36
Step 4: 16 + 27 = 43 43 - 3 Step 4: 4 + 3 = 7 7 + 36
Step 5: 43 - 3 = 40 40 Step 5: 7 + 36 = 43 43

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

7) 10 - 7 + 9 × 5 + 28 ÷ 4 8) 6 ÷ 3 + 24 - 25 ÷ 5
Step 1: 9 × 5 = 45 10 - 7 + 45 + 28 ÷ 4 Step 1: 6 ÷ 3 = 2 2 + 24 - 25 ÷ 5
Step 2: 28 ÷ 4 = 7 10 - 7 + 45 + 7 Step 2: 25 ÷ 5 = 5 2 + 24 - 5
Step 3: 10 - 7 = 3 3 + 45 + 7 Step 3: 2 + 24 = 26 26 - 5
Step 4: 3 + 45 = 48 48 + 7 Step 4: 26 - 5 = 21 21
Step 5: 48 + 7 = 55 55

9) 4 + 2 × 18 ÷ 6 - 9 10) 8 × 3 + 40 ÷ 5 8
Step 1: 2 × 18 = 36 4 + 36 ÷ 6 - 9 Step 1: 8 × 3 = 24 24 + 40 ÷ 5 - 8
Step 2: 36 ÷ 6 = 6 4+6-9 Step 2: 40 ÷ 5 = 8 24 + 8 - 8
Step 3: 4 + 6 = 10 10 - 9 Step 3: 24 + 8 = 32 32 - 8
Step 4: 10 9 = 1 1 Step 4: 32 8 = 24 24

2
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
.

7.
3) 8 - 4 + 5 + 6 × (60 ÷ 6) 4) 9 × 5 + (13 + 5) - 10 ÷ 2

8.

9.

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

10.

5) (10 - 8) × 7 + 6 + 16 - 4 6) (18 ÷ 3 ) + 6 + ( 14 - 8 ) × 5

7) 11 - 4 + 5 × 7 + 48 ÷ 8 8) 45 ÷ 9 + 12 - 9 ÷ 3

14 + 6 × 9 ÷ 3 8 5 × 7 + 12 ÷ 6 5

3
404
74
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 69
3.

1) 48 ÷ 6 + (5 × 6) × 13 + 6 2) 54 ÷ 6 × (12 - 4) + 2 4. 58
Step 1: (5 × 6) = 30 48 ÷ 6 + 30 × 13 + 6 Step 1: (12 - 4) = 8 54 ÷ 6 × 8 + 2

Step 2: 48 ÷ 6 = 8 8 + 30 × 13 + 6 Step 2: 54 ÷ 6 = 9 9×8+2 5. 32

Step 3: 30 × 13 = 390 8 + 390 + 6 Step 3: 9 × 8 = 72 72 + 2
9) - 10) -

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Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 4: 8 + 390 = 398 398 + 6 Step 4: 72 + 2 = 74 74 6. 42

Step 5: 398 + 6 = 404 404

7. 48
3) 8 - 4 + 5 + 6 × (60 ÷ 6) 4) 9 × 5 + (13 + 5) - 10 ÷ 2

Step 1: (60 ÷ 6) = 10 8 - 4 + 5 + 6 × 10 Step 1: (13 + 5) = 18 9 × 5 + 18 - 10 ÷ 2 8. 14

Step 2: 6 × 10 = 60 8 - 4 + 5 + 60 Step 2: 9 × 5 = 45 45 + 18 - 10 ÷ 2

Step 3: 8 - 4 = 4 4 + 5 + 60 Step 3: 10 ÷ 2 = 5 45 + 18 - 5 9. 24
Step 4: 4 + 5 = 9 9 + 60 Step 4: 45 + 18 = 63 63 - 5

Step 5: 9 + 60 = 69 69 Step 5: 63 - 5 = 58 58 10. 32

5) (10 - 8) × 7 + 6 + 16 - 4 6) (18 ÷ 3 ) + 6 + ( 14 - 8 ) × 5
Step 1: (10 - 8) = 2 2 × 7 + 6 + 16 - 4 Step 1: (18 ÷ 3 ) = 6 6 + 6 + ( 14 - 8 ) × 5
Step 2: 2 × 7 = 14 14 + 6 + 16 - 4 Step 2: ( 14 - 8 ) = 6 6+6+6×5
Step 3: 14 + 6 = 20 20 + 16 - 4 Step 3: 6 × 5 = 30 6 + 6 + 30
Step 4: 20 + 16 = 36 36 - 4 Step 4: 6 + 6 = 12 12 + 30
Step 5: 36 - 4 = 32 32 Step 5: 12 + 30 = 42 42

7) 11 - 4 + 5 × 7 + 48 ÷ 8 8) 45 ÷ 9 + 12 - 9 ÷ 3
Step 1: 5 × 7 = 35 11 - 4 + 35 + 48 ÷ 8 Step 1: 45 ÷ 9 = 5 5 + 12 - 9 ÷ 3
Step 2: 48 ÷ 8 = 6 11 - 4 + 35 + 6 Step 2: 9 ÷ 3 = 3 5 + 12 - 3
Step 3: 11 - 4 = 7 7 + 35 + 6 Step 3: 5 + 12 = 17 17 - 3
Step 4: 7 + 35 = 42 42 + 6 Step 4: 17 - 3 = 14 14
Step 5: 42 + 6 = 48 48

9) 14 + 6 × 9 ÷ 3 - 8 10) 5 × 7 + 12 ÷ 6 5
Step 1: 6 × 9 = 54 14 + 54 ÷ 3 - 8 Step 1: 5 × 7 = 35 35 + 12 ÷ 6 - 5
Step 2: 54 ÷ 3 = 18 14 + 18 - 8 Step 2: 12 ÷ 6 = 2 35 + 2 - 5

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 3: 14 + 18 = 32 32 - 8 Step 3: 35 + 2 = 37 37 - 5
Step 4: 32 8 = 24 24 Step 4: 37 5 = 32 32

9) - 10) -

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Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: Answer2.Key
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 24 ÷ 8 + (9 × 2) × 4 + 7 2) 64 ÷ 8 × (12 - 2) + 5
4.

5.

6
.

7.
3) 12 - 8 + 4 + 9 × (40 ÷ 4) 4) 5 × 2 + (12 + 6) - 28 ÷ 4

8.

9.

5) (18 - 9) × 4 + 8 + 35 - 5 6) (8 ÷ 4 ) + 3 + ( 14 - 8 ) × 7

7) 8 - 3 + 7 × 6 + 12 ÷ 3 8) 12 ÷ 2 + 18 - 60 ÷ 6

-3

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Solve the following problems using the order of operations. Answers
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

8 + 3 × 24 ÷ 8 9 × 2 + 90 ÷ 9 4

4
82

85
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
98
3.

1) 24 ÷ 8 + (9 × 2) × 4 + 7 2) 64 ÷ 8 × (12 - 2) + 5
21
Step 1: (9 × 2) = 18 24 ÷ 8 + 18 × 4 + 7 Step 1: (12 - 2) = 10 64 ÷ 8 × 10 + 5
Step 2: 24 ÷ 8 = 3 3 + 18 × 4 + 7 Step 2: 64 ÷ 8 = 8 8 × 10 + 5
5. 74
Step 3: 18 × 4 = 72 3 + 72 + 7 Step 3: 8 × 10 = 80 80 + 5
Step 4: 3 + 72 = 75 75 + 7 Step 4: 80 + 5 = 85 85
47
Step 5: 75 + 7 = 82 82

51
3) 12 - 8 + 4 + 9 × (40 ÷ 4) 4) 5 × 2 + (12 + 6) - 28 ÷ 4
9) -3 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: Answer2.Key
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 1: (40 ÷ 4) = 10 12 - 8 + 4 + 9 × 10 Step 1: (12 + 6) = 18 5 × 2 + 18 - 28 ÷ 4

8. 14
Step 2: 9 × 10 = 90 12 - 8 + 4 + 90 Step 2: 5 × 2 = 10 10 + 18 - 28 ÷ 4
Step 3: 12 - 8 = 4 4 + 4 + 90 Step 3: 28 ÷ 4 = 7 10 + 18 - 7
9. 14
Step 4: 4 + 4 = 8 8 + 90 Step 4: 10 + 18 = 28 28 - 7
Step 5: 8 + 90 = 98 98 Step 5: 28 - 7 = 21 21
24

5) (18 - 9) × 4 + 8 + 35 - 5 6) (8 ÷ 4 ) + 3 + ( 14 - 8 ) × 7
Step 1: (18 - 9) = 9 9 × 4 + 8 + 35 - 5 Step 1: (8 ÷ 4 ) = 2 2 + 3 + ( 14 - 8 ) × 7
Step 2: 9 × 4 = 36 36 + 8 + 35 - 5 Step 2: ( 14 - 8 ) = 6 2+3+6×7
Step 3: 36 + 8 = 44 44 + 35 - 5 Step 3: 6 × 7 = 42 2 + 3 + 42
Step 4: 44 + 35 = 79 79 - 5 Step 4: 2 + 3 = 5 5 + 42
Step 5: 79 - 5 = 74 74 Step 5: 5 + 42 = 47 47

7) 8 - 3 + 7 × 6 + 12 ÷ 3 8) 12 ÷ 2 + 18 - 60 ÷ 6
Step 1: 7 × 6 = 42 8 - 3 + 42 + 12 ÷ 3 Step 1: 12 ÷ 2 = 6 6 + 18 - 60 ÷ 6
Step 2: 12 ÷ 3 = 4 8 - 3 + 42 + 4 Step 2: 60 ÷ 6 = 10 6 + 18 - 10
Step 3: 8 - 3 = 5 5 + 42 + 4 Step 3: 6 + 18 = 24 24 - 10
Step 4: 5 + 42 = 47 47 + 4 Step 4: 24 - 10 = 14 14
Step 5: 47 + 4 = 51 51

9) 8 + 3 × 24 ÷ 8 10) 9 × 2 + 90 ÷ 9 - 4
Step 1: 3 × 24 = 72 8 + 72 ÷ 8 - 3 Step 1: 9 × 2 = 18 18 + 90 ÷ 9 - 4
Step 2: 72 ÷ 8 = 9 8+9-3 Step 2: 90 ÷ 9 = 10 18 + 10 - 4
-3

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Solve the following problems using the order of operations. Answers
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 3: 8 + 9 = 17 17 - 3 Step 3: 18 + 10 = 28 28 - 4
Step 4: 17 3 = 14 14 Step 4: 28 4 = 24 24

4
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).

3.

1) 54 ÷ 6 + (6 × 3) × 20 + 15 2) 64 ÷ 8 × (5 - 3) + 5
4.

5.

6
.

7.
3) 13 - 8 + 2 + 4 × (15 ÷ 5) 4) 8 × 9 + (10 + 5) - 48 ÷ 8

8.

9.

5) (13 - 4) × 6 + 2 + 49 - 7 6) (14 ÷ 2 ) + 9 + ( 16 - 9 ) × 2

9) -3 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: Answer2.Key
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

7) 10 - 5 + 6 × 2 + 54 ÷ 6 8) 32 ÷ 4 + 40 - 60 ÷ 6

9 + 3 × 16 ÷ 8 2 × 4 + 28 ÷ 4 6

-3

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

384
21
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 19
3.

1) 54 ÷ 6 + (6 × 3) × 20 + 15 2) 64 ÷ 8 × (5 - 3) + 5 4. 81
Step 1: (6 × 3) = 18 54 ÷ 6 + 18 × 20 + 15 Step 1: (5 - 3) = 2 64 ÷ 8 × 2 + 5

Step 2: 54 ÷ 6 = 9 9 + 18 × 20 + 15 Step 2: 64 ÷ 8 = 8 8×2+5 5. 98

Step 3: 18 × 20 = 360 9 + 360 + 15 Step 3: 8 × 2 = 16 16 + 5

Step 4: 9 + 360 = 369 369 + 15 Step 4: 16 + 5 = 21 21 6. 30

Step 5: 369 + 15 = 384 384

7. 26
3) 13 - 8 + 2 + 4 × (15 ÷ 5) 4) 8 × 9 + (10 + 5) - 48 ÷ 8

Step 1: (15 ÷ 5) = 3 13 - 8 + 2 + 4 × 3 Step 1: (10 + 5) = 15 8 × 9 + 15 - 48 ÷ 8 8. 38

Step 2: 4 × 3 = 12 13 - 8 + 2 + 12 Step 2: 8 × 9 = 72 72 + 15 - 48 ÷ 8

Step 3: 13 - 8 = 5 5 + 2 + 12 Step 3: 48 ÷ 8 = 6 72 + 15 - 6 9. 12
Step 4: 5 + 2 = 7 7 + 12 Step 4: 72 + 15 = 87 87 - 6

Step 5: 7 + 12 = 19 19 Step 5: 87 - 6 = 81 81 10. 9

5) (13 - 4) × 6 + 2 + 49 - 7 6) (14 ÷ 2 ) + 9 + ( 16 - 9 ) × 2
Step 1: (13 - 4) = 9 9 × 6 + 2 + 49 - 7 Step 1: (14 ÷ 2 ) = 7 7 + 9 + ( 16 - 9 ) × 2
Step 2: 9 × 6 = 54 54 + 2 + 49 - 7 Step 2: ( 16 - 9 ) = 7 7+9+7×2
Step 3: 54 + 2 = 56 56 + 49 - 7 Step 3: 7 × 2 = 14 7 + 9 + 14
Step 4: 56 + 49 = 105 105 - 7 Step 4: 7 + 9 = 16 16 + 14
Step 5: 105 - 7 = 98 98 Step 5: 16 + 14 = 30 30

-3 -

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Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

7) 10 - 5 + 6 × 2 + 54 ÷ 6 8) 32 ÷ 4 + 40 - 60 ÷ 6
Step 1: 6 × 2 = 12 10 - 5 + 12 + 54 ÷ 6 Step 1: 32 ÷ 4 = 8 8 + 40 - 60 ÷ 6
Step 2: 54 ÷ 6 = 9 10 - 5 + 12 + 9 Step 2: 60 ÷ 6 = 10 8 + 40 - 10
Step 3: 10 - 5 = 5 5 + 12 + 9 Step 3: 8 + 40 = 48 48 - 10
Step 4: 5 + 12 = 17 17 + 9 Step 4: 48 - 10 = 38 38
Step 5: 17 + 9 = 26 26

9) 9 + 3 × 16 ÷ 8 10) 2 × 4 + 28 ÷ 4 6
Step 1: 3 × 16 = 48 9 + 48 ÷ 8 - 3 Step 1: 2 × 4 = 8 8 + 28 ÷ 4 - 6
Step 2: 48 ÷ 8 = 6 9+6-3 Step 2: 28 ÷ 4 = 7 8+7-6
Step 3: 9 + 6 = 15 15 - 3 Step 3: 8 + 7 = 15 15 - 6
Step 4: 15 3 = 12 12 Step 4: 15 6 = 9 9

5
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 32 ÷ 8 + (8 × 5) × 8 + 13 2) 18 ÷ 6 × (7 - 5) + 6
4.

5.

6
.

7.
3) 11 - 3 + 5 + 4 × (20 ÷ 4) 4) 4 × 5 + (11 + 8) - 18 ÷ 3

8.

9.

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

10.

5) (10 - 2) × 8 + 5 + 15 - 5 6) (18 ÷ 6 ) + 5 + ( 12 - 3 ) × 8

7) 12 - 3 + 9 × 2 + 16 ÷ 2 8) 10 ÷ 2 + 16 - 15 ÷ 3

12 + 6 × 18 ÷ 2 5 6 × 5 + 42 ÷ 6 7

6
337
12
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 33
3.

1) 32 ÷ 8 + (8 × 5) × 8 + 13 2) 18 ÷ 6 × (7 - 5) + 6 4. 33
Step 1: (8 × 5) = 40 32 ÷ 8 + 40 × 8 + 13 Step 1: (7 - 5) = 2 18 ÷ 6 × 2 + 6

Step 2: 32 ÷ 8 = 4 4 + 40 × 8 + 13 Step 2: 18 ÷ 6 = 3 3×2+6 5. 79

Step 3: 40 × 8 = 320 4 + 320 + 13 Step 3: 3 × 2 = 6 6+6
9) - 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 4: 4 + 320 = 324 324 + 13 Step 4: 6 + 6 = 12 12 6. 80

Step 5: 324 + 13 = 337 337

7. 35
3) 11 - 3 + 5 + 4 × (20 ÷ 4) 4) 4 × 5 + (11 + 8) - 18 ÷ 3

Step 1: (20 ÷ 4) = 5 11 - 3 + 5 + 4 × 5 Step 1: (11 + 8) = 19 4 × 5 + 19 - 18 ÷ 3 8. 16

Step 2: 4 × 5 = 20 11 - 3 + 5 + 20 Step 2: 4 × 5 = 20 20 + 19 - 18 ÷ 3

Step 3: 11 - 3 = 8 8 + 5 + 20 Step 3: 18 ÷ 3 = 6 20 + 19 - 6 9. 61
Step 4: 8 + 5 = 13 13 + 20 Step 4: 20 + 19 = 39 39 - 6

Step 5: 13 + 20 = 33 33 Step 5: 39 - 6 = 33 33 10. 30

5) (10 - 2) × 8 + 5 + 15 - 5 6) (18 ÷ 6 ) + 5 + ( 12 - 3 ) × 8
Step 1: (10 - 2) = 8 8 × 8 + 5 + 15 - 5 Step 1: (18 ÷ 6 ) = 3 3 + 5 + ( 12 - 3 ) × 8
Step 2: 8 × 8 = 64 64 + 5 + 15 - 5 Step 2: ( 12 - 3 ) = 9 3+5+9×8
Step 3: 64 + 5 = 69 69 + 15 - 5 Step 3: 9 × 8 = 72 3 + 5 + 72
Step 4: 69 + 15 = 84 84 - 5 Step 4: 3 + 5 = 8 8 + 72
Step 5: 84 - 5 = 79 79 Step 5: 8 + 72 = 80 80

7) 12 - 3 + 9 × 2 + 16 ÷ 2 8) 10 ÷ 2 + 16 - 15 ÷ 3
Step 1: 9 × 2 = 18 12 - 3 + 18 + 16 ÷ 2 Step 1: 10 ÷ 2 = 5 5 + 16 - 15 ÷ 3
Step 2: 16 ÷ 2 = 8 12 - 3 + 18 + 8 Step 2: 15 ÷ 3 = 5 5 + 16 - 5
Step 3: 12 - 3 = 9 9 + 18 + 8 Step 3: 5 + 16 = 21 21 - 5
Step 4: 9 + 18 = 27 27 + 8 Step 4: 21 - 5 = 16 16
Step 5: 27 + 8 = 35 35

9) 12 + 6 × 18 ÷ 2 5 10) 6 × 5 + 42 ÷ 6 7
Step 1: 6 × 18 = 108 12 + 108 ÷ 2 - 5 Step 1: 6 × 5 = 30 30 + 42 ÷ 6 - 7

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 2: 108 ÷ 2 = 54 12 + 54 - 5 Step 2: 42 ÷ 6 = 7 30 + 7 - 7

Step 3: 12 + 54 = 66 66 - 5 Step 3: 30 + 7 = 37 37 - 7
Step 4: 66 5 = 61 61 Step 4: 37 7 = 30 30

6
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 60 ÷ 6 + (4 × 6) × 8 + 18 2) 42 ÷ 6 × (14 - 7) + 9
4.

5.

6.

7.
3) 15 - 9 + 9 + 6 × (81 ÷ 9) 4) 6 × 4 + (12 + 7) - 27 ÷ 9

8.

9.

10.

5) (4 - 3) × 4 + 5 + 24 - 3 6) (15 ÷ 5 ) + 9 + ( 9 - 8 ) × 6

7) 3 - 2 + 5 × 9 + 56 ÷ 7 8) 25 ÷ 5 + 24 - 45 ÷ 5

9) - 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: Answer2.Key
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

11 + 5 × 81 ÷ 9 8 2 × 9 + 70 ÷ 7 3

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

220
58
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 69
3.

1) 60 ÷ 6 + (4 × 6) × 8 + 18 2) 42 ÷ 6 × (14 - 7) + 9 4. 40
Step 1: (4 × 6) = 24 60 ÷ 6 + 24 × 8 + 18 Step 1: (14 - 7) = 7 42 ÷ 6 × 7 + 9

Step 2: 60 ÷ 6 = 10 10 + 24 × 8 + 18 Step 2: 42 ÷ 6 = 7 7×7+9 5. 30

Step 3: 24 × 8 = 192 10 + 192 + 18 Step 3: 7 × 7 = 49 49 + 9

Step 4: 10 + 192 = 202 202 + 18 Step 4: 49 + 9 = 58 58 6. 18

Step 5: 202 + 18 = 220 220

7. 54
3) 15 - 9 + 9 + 6 × (81 ÷ 9) 4) 6 × 4 + (12 + 7) - 27 ÷ 9

Step 1: (81 ÷ 9) = 9 15 - 9 + 9 + 6 × 9 Step 1: (12 + 7) = 19 6 × 4 + 19 - 27 ÷ 9 8. 20

Step 2: 6 × 9 = 54 15 - 9 + 9 + 54 Step 2: 6 × 4 = 24 24 + 19 - 27 ÷ 9

Step 3: 15 - 9 = 6 6 + 9 + 54 Step 3: 27 ÷ 9 = 3 24 + 19 - 3 9. 48
Step 4: 6 + 9 = 15 15 + 54 Step 4: 24 + 19 = 43 43 - 3

Step 5: 15 + 54 = 69 69 Step 5: 43 - 3 = 40 40 10. 25

5) (4 - 3) × 4 + 5 + 24 - 3 6) (15 ÷ 5 ) + 9 + ( 9 - 8 ) × 6
Step 1: (4 - 3) = 1 1 × 4 + 5 + 24 - 3 Step 1: (15 ÷ 5 ) = 3 3+9+(9-8)×6
Step 2: 1 × 4 = 4 4 + 5 + 24 - 3 Step 2: ( 9 - 8 ) = 1 3+9+1×6
Step 3: 4 + 5 = 9 9 + 24 - 3 Step 3: 1 × 6 = 6 3+9+6
Step 4: 9 + 24 = 33 33 - 3 Step 4: 3 + 9 = 12 12 + 6
Step 5: 33 - 3 = 30 30 Step 5: 12 + 6 = 18 18

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

7) 3 - 2 + 5 × 9 + 56 ÷ 7 8) 25 ÷ 5 + 24 - 45 ÷ 5
Step 1: 5 × 9 = 45 3 - 2 + 45 + 56 ÷ 7 Step 1: 25 ÷ 5 = 5 5 + 24 - 45 ÷ 5
Step 2: 56 ÷ 7 = 8 3 - 2 + 45 + 8 Step 2: 45 ÷ 5 = 9 5 + 24 - 9
Step 3: 3 - 2 = 1 1 + 45 + 8 Step 3: 5 + 24 = 29 29 - 9
Step 4: 1 + 45 = 46 46 + 8 Step 4: 29 - 9 = 20 20
Step 5: 46 + 8 = 54 54

9) 11 + 5 × 81 ÷ 9 8 10) 2 × 9 + 70 ÷ 7 - 3
Step 1: 5 × 81 = 405 11 + 405 ÷ 9 - 8 Step 1: 2 × 9 = 18 18 + 70 ÷ 7 - 3
Step 2: 405 ÷ 9 = 45 11 + 45 - 8 Step 2: 70 ÷ 7 = 10 18 + 10 - 3
Step 3: 11 + 45 = 56 56 - 8 Step 3: 18 + 10 = 28 28 - 3
Step 4: 56 8 = 48 48 Step 4: 28 3 = 25 25

7
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 4 ÷ 2 + (2 × 4) × 16 + 11 2) 18 ÷ 3 × (12 - 5) + 4
4.

5.

6
.

7.
3) 14 - 5 + 7 + 5 × (72 ÷ 9) 4) 3 × 8 + (14 + 7) - 70 ÷ 7

8.

9.

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

10.

5) (11 - 7) × 6 + 4 + 32 - 4 6) (42 ÷ 7 ) + 7 + ( 17 - 9 ) × 8

7) 7 - 3 + 4 × 2 + 12 ÷ 3 8) 63 ÷ 9 + 40 - 36 ÷ 4

9 + 2 × 42 ÷ 6 2 7 × 9 + 18 ÷ 3 6

8
141
46
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 56
3.

1) 4 ÷ 2 + (2 × 4) × 16 + 11 2) 18 ÷ 3 × (12 - 5) + 4 4. 35
Step 1: (2 × 4) = 8 4 ÷ 2 + 8 × 16 + 11 Step 1: (12 - 5) = 7 18 ÷ 3 × 7 + 4

Step 2: 4 ÷ 2 = 2 2 + 8 × 16 + 11 Step 2: 18 ÷ 3 = 6 6×7+4 5. 56

Step 3: 8 × 16 = 128 2 + 128 + 11 Step 3: 6 × 7 = 42 42 + 4
9) - 10) -

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Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 4: 2 + 128 = 130 130 + 11 Step 4: 42 + 4 = 46 46 6. 77

Step 5: 130 + 11 = 141 141

7. 16
3) 14 - 5 + 7 + 5 × (72 ÷ 9) 4) 3 × 8 + (14 + 7) - 70 ÷ 7

Step 1: (72 ÷ 9) = 8 14 - 5 + 7 + 5 × 8 Step 1: (14 + 7) = 21 3 × 8 + 21 - 70 ÷ 7 8. 38

Step 2: 5 × 8 = 40 14 - 5 + 7 + 40 Step 2: 3 × 8 = 24 24 + 21 - 70 ÷ 7

Step 3: 14 - 5 = 9 9 + 7 + 40 Step 3: 70 ÷ 7 = 10 24 + 21 - 10 9. 21
Step 4: 9 + 7 = 16 16 + 40 Step 4: 24 + 21 = 45 45 - 10

Step 5: 16 + 40 = 56 56 Step 5: 45 - 10 = 35 35 10. 63

5) (11 - 7) × 6 + 4 + 32 - 4 6) (42 ÷ 7 ) + 7 + ( 17 - 9 ) × 8
Step 1: (11 - 7) = 4 4 × 6 + 4 + 32 - 4 Step 1: (42 ÷ 7 ) = 6 6 + 7 + ( 17 - 9 ) × 8
Step 2: 4 × 6 = 24 24 + 4 + 32 - 4 Step 2: ( 17 - 9 ) = 8 6+7+8×8
Step 3: 24 + 4 = 28 28 + 32 - 4 Step 3: 8 × 8 = 64 6 + 7 + 64
Step 4: 28 + 32 = 60 60 - 4 Step 4: 6 + 7 = 13 13 + 64
Step 5: 60 - 4 = 56 56 Step 5: 13 + 64 = 77 77

7) 7 - 3 + 4 × 2 + 12 ÷ 3 8) 63 ÷ 9 + 40 - 36 ÷ 4
Step 1: 4 × 2 = 8 7 - 3 + 8 + 12 ÷ 3 Step 1: 63 ÷ 9 = 7 7 + 40 - 36 ÷ 4
Step 2: 12 ÷ 3 = 4 7-3+8+4 Step 2: 36 ÷ 4 = 9 7 + 40 - 9
Step 3: 7 - 3 = 4 4+8+4 Step 3: 7 + 40 = 47 47 - 9
Step 4: 4 + 8 = 12 12 + 4 Step 4: 47 - 9 = 38 38
Step 5: 12 + 4 = 16 16

9) 9 + 2 × 42 ÷ 6 2 10) 7 × 9 + 18 ÷ 3 6
Step 1: 2 × 42 = 84 9 + 84 ÷ 6 - 2 Step 1: 7 × 9 = 63 63 + 18 ÷ 3 - 6

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 2: 84 ÷ 6 = 14 9 + 14 - 2 Step 2: 18 ÷ 3 = 6 63 + 6 - 6
Step 3: 9 + 14 = 23 23 - 2 Step 3: 63 + 6 = 69 69 - 6
Step 4: 23 2 = 21 21 Step 4: 69 6 = 63 63

8
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 9 ÷ 3 + (7 × 5) × 6 + 16 2) 24 ÷ 3 × (4 - 3) + 7
4.

5.

6.

7.
3) 10 - 4 + 7 + 3 × (24 ÷ 4) 4) 6 × 4 + (12 + 9) - 28 ÷ 4

8.

9.

10.

5) (8 - 2) × 9 + 7 + 28 - 7 6) (35 ÷ 7 ) + 9 + ( 13 - 8 ) × 3

7) 6 - 3 + 4 × 5 + 28 ÷ 7 8) 56 ÷ 8 + 30 - 18 ÷ 3

9) - 10) -

1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: Answer2.Key
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

9 + 4 × 16 ÷ 4 7 8 × 7 + 90 ÷ 9 8

- -

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

229
15
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 31
3.

1) 9 ÷ 3 + (7 × 5) × 6 + 16 2) 24 ÷ 3 × (4 - 3) + 7 4. 38
Step 1: (7 × 5) = 35 9 ÷ 3 + 35 × 6 + 16 Step 1: (4 - 3) = 1 24 ÷ 3 × 1 + 7

Step 2: 9 ÷ 3 = 3 3 + 35 × 6 + 16 Step 2: 24 ÷ 3 = 8 8×1+7 5. 82

Step 3: 35 × 6 = 210 3 + 210 + 16 Step 3: 8 × 1 = 8 8+7

Step 4: 3 + 210 = 213 213 + 16 Step 4: 8 + 7 = 15 15 6. 29

Step 5: 213 + 16 = 229 229

7. 27
3) 10 - 4 + 7 + 3 × (24 ÷ 4) 4) 6 × 4 + (12 + 9) - 28 ÷ 4

Step 1: (24 ÷ 4) = 6 10 - 4 + 7 + 3 × 6 Step 1: (12 + 9) = 21 6 × 4 + 21 - 28 ÷ 4 8. 31

Step 2: 3 × 6 = 18 10 - 4 + 7 + 18 Step 2: 6 × 4 = 24 24 + 21 - 28 ÷ 4

Step 3: 10 - 4 = 6 6 + 7 + 18 Step 3: 28 ÷ 4 = 7 24 + 21 - 7 9. 18
Step 4: 6 + 7 = 13 13 + 18 Step 4: 24 + 21 = 45 45 - 7

Step 5: 13 + 18 = 31 31 Step 5: 45 - 7 = 38 38 10. 58

5) (8 - 2) × 9 + 7 + 28 - 7 6) (35 ÷ 7 ) + 9 + ( 13 - 8 ) × 3
Step 1: (8 - 2) = 6 6 × 9 + 7 + 28 - 7 Step 1: (35 ÷ 7 ) = 5 5 + 9 + ( 13 - 8 ) × 3
Step 2: 6 × 9 = 54 54 + 7 + 28 - 7 Step 2: ( 13 - 8 ) = 5 5+9+5×3
Step 3: 54 + 7 = 61 61 + 28 - 7 Step 3: 5 × 3 = 15 5 + 9 + 15
Step 4: 61 + 28 = 89 89 - 7 Step 4: 5 + 9 = 14 14 + 15
Step 5: 89 - 7 = 82 82 Step 5: 14 + 15 = 29 29

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

7) 6 - 3 + 4 × 5 + 28 ÷ 7 8) 56 ÷ 8 + 30 - 18 ÷ 3
Step 1: 4 × 5 = 20 6 - 3 + 20 + 28 ÷ 7 Step 1: 56 ÷ 8 = 7 7 + 30 - 18 ÷ 3
Step 2: 28 ÷ 7 = 4 6 - 3 + 20 + 4 Step 2: 18 ÷ 3 = 6 7 + 30 - 6
Step 3: 6 - 3 = 3 3 + 20 + 4 Step 3: 7 + 30 = 37 37 - 6
Step 4: 3 + 20 = 23 23 + 4 Step 4: 37 - 6 = 31 31
Step 5: 23 + 4 = 27 27

9) 9 + 4 × 16 ÷ 4 7 10) 8 × 7 + 90 ÷ 9 - 8
Step 1: 4 × 16 = 64 9 + 64 ÷ 4 - 7 Step 1: 8 × 7 = 56 56 + 90 ÷ 9 - 8
Step 2: 64 ÷ 4 = 16 9 + 16 - 7 Step 2: 90 ÷ 9 = 10 56 + 10 - 8
Step 3: 9 + 16 = 25 25 - 7 Step 3: 56 + 10 = 66 66 - 8
Step 4: 25 7 = 18 18 Step 4: 66 8 = 58 58

9
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right).
3.

1) 42 ÷ 6 + (2 × 5) × 1 + 9 2) 40 ÷ 8 × (6 - 3) + 2
4.

5.

6
.

7.
3) 10 - 3 + 7 + 5 × (24 ÷ 3) 4) 9 × 4 + (12 + 2) - 30 ÷ 3

8.

9.

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

10.

5) (13 - 5) × 3 + 7 + 16 - 8 6) (21 ÷ 7 ) + 7 + ( 7 - 2 ) × 9

7) 13 - 7 + 8 × 9 + 63 ÷ 7 8) 81 ÷ 9 + 40 - 72 ÷ 9

14 + 5 × 40 ÷ 4 - 7 10) 8 × 3 + 63 ÷ 9 6

10
26

17
Step 4: Add or Subtract +, - Finally solve any addition or subtraction problems (going from left to right). 54
3.

1) 42 ÷ 6 + (2 × 5) × 1 + 9 2) 40 ÷ 8 × (6 - 3) + 2 4. 40
Step 1: (2 × 5) = 10 42 ÷ 6 + 10 × 1 + 9 Step 1: (6 - 3) = 3 40 ÷ 8 × 3 + 2

Step 2: 42 ÷ 6 = 7 7 + 10 × 1 + 9 Step 2: 40 ÷ 8 = 5 5×3+2 5. 39

9) -

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Math www.CommonCoreSheets.com
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name:
3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Answer2.Key
Step

Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 3: 10 × 1 = 10 7 + 10 + 9 Step 3: 5 × 3 = 15 15 + 2

Step 4: 7 + 10 = 17 17 + 9 Step 4: 15 + 2 = 17 17 6. 55
Step 5: 17 + 9 = 26 26

7. 87
3) 10 - 3 + 7 + 5 × (24 ÷ 3) 4) 9 × 4 + (12 + 2) - 30 ÷ 3

Step 1: (24 ÷ 3) = 8 10 - 3 + 7 + 5 × 8 Step 1: (12 + 2) = 14 9 × 4 + 14 - 30 ÷ 3 8. 41

Step 2: 5 × 8 = 40 10 - 3 + 7 + 40 Step 2: 9 × 4 = 36 36 + 14 - 30 ÷ 3

Step 3: 10 - 3 = 7 7 + 7 + 40 Step 3: 30 ÷ 3 = 10 36 + 14 - 10 9. 57
Step 4: 7 + 7 = 14 14 + 40 Step 4: 36 + 14 = 50 50 - 10

Step 5: 14 + 40 = 54 54 Step 5: 50 - 10 = 40 40 10. 25

5) (13 - 5) × 3 + 7 + 16 - 8 6) (21 ÷ 7 ) + 7 + ( 7 - 2 ) × 9
Step 1: (13 - 5) = 8 8 × 3 + 7 + 16 - 8 Step 1: (21 ÷ 7 ) = 3 3+7+(7-2)×9
Step 2: 8 × 3 = 24 24 + 7 + 16 - 8 Step 2: ( 7 - 2 ) = 5 3+7+5×9
Step 3: 24 + 7 = 31 31 + 16 - 8 Step 3: 5 × 9 = 45 3 + 7 + 45
Step 4: 31 + 16 = 47 47 - 8 Step 4: 3 + 7 = 10 10 + 45
Step 5: 47 - 8 = 39 39 Step 5: 10 + 45 = 55 55

7) 13 - 7 + 8 × 9 + 63 ÷ 7 8) 81 ÷ 9 + 40 - 72 ÷ 9
Step 1: 8 × 9 = 72 13 - 7 + 72 + 63 ÷ 7 Step 1: 81 ÷ 9 = 9 9 + 40 - 72 ÷ 9
Step 2: 63 ÷ 7 = 9 13 - 7 + 72 + 9 Step 2: 72 ÷ 9 = 8 9 + 40 - 8
Step 3: 13 - 7 = 6 6 + 72 + 9 Step 3: 9 + 40 = 49 49 - 8
Step 4: 6 + 72 = 78 78 + 9 Step 4: 49 - 8 = 41 41
Step 5: 78 + 9 = 87 87

9) 14 + 5 × 40 ÷ 4 - 7 10) 8 × 3 + 63 ÷ 9 - 6

1-10 90 80 70 60 50 40 30 20 10 0
Math
- www.CommonCoreSheets.com -
 Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
Solving Problems Using Order of Operations Name: 2.
Step 3: Multiply or Divide ×, ÷ Then solve any multiplication or division problems (going from left to right).
Solve the following problems using the order of operations. Answers

Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1.

Step 1: 5 × 40 = 200 14 + 200 ÷ 4 - 7 Step 1: 8 × 3 = 24 24 + 63 ÷ 9 - 6

Step 2: 200 ÷ 4 = 50 14 + 50 - 7 Step 2: 63 ÷ 9 = 7 24 + 7 - 6
Step 3: 14 + 50 = 64 64 - 7 Step 3: 24 + 7 = 31 31 - 6
Step 4: 64 7 = 57 57 Step 4: 31 6 = 25 25

10

9) -

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