Math
www.CommonCoreSheets.com
Answers
Name:
1
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
21 ÷ 3 + (3 × 9) × 9 + 5
2)
18 ÷ 6 × (4 - 3) + 6
3)
14 - 8 + 3 + 8 × (24 ÷ 8)
4)
4 × 5 + (14 + 8) - 36 ÷ 9
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
9)
10 + 8 × 90 ÷ 9 - 4
10)
8 × 3 + 70 ÷ 7 - 7
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
1
1-10
90 80 70 60 50 40 30 20 10 0
1.
255
2.
9
3.
33
4.
38
5.
110
6.
20
7.
30
8.
47
9.
86
10.
27
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
1)
21 ÷ 3 + (3 × 9) × 9 + 5
2)
18 ÷ 6 × (4 - 3) + 6
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
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
Step 5: 250 + 5 = 255 255
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
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
Step 4: 6 + 3 = 9 9 + 24 Step 4: 20 + 22 = 42 42 - 4
Step 5: 9 + 24 = 33 33 Step 5: 42 - 4 = 38 38
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
Math
www.CommonCoreSheets.com
Answers
Name:
2
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
30 ÷ 5 + (5 × 6) × 19 + 4
2)
35 ÷ 7 × (7 - 4) + 2
3)
3 - 2 + 3 + 7 × (16 ÷ 8)
4)
5 × 2 + (11 + 8) - 18 ÷ 9
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
9)
4 + 2 × 18 ÷ 6 - 9
10)
8 × 3 + 40 ÷ 5 - 8
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
2
1-10
90 80 70 60 50 40 30 20 10 0
1.
580
2.
17
3.
18
4.
27
5.
40
6.
43
7.
55
8.
21
9.
1
10.
24
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
30 ÷ 5 + (5 × 6) × 19 + 4
2)
35 ÷ 7 × (7 - 4) + 2
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
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
Step 5: 576 + 4 = 580 580
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
3
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
48 ÷ 6 + (5 × 6) × 13 + 6
2)
54 ÷ 6 × (12 - 4) + 2
3)
8 - 4 + 5 + 6 × (60 ÷ 6)
4)
9 × 5 + (13 + 5) - 10 ÷ 2
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
9)
14 + 6 × 9 ÷ 3 - 8
10)
5 × 7 + 12 ÷ 6 - 5
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
3
1-10
90 80 70 60 50 40 30 20 10 0
1.
404
2.
74
3.
69
4.
58
5.
32
6.
42
7.
48
8.
14
9.
24
10.
32
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
48 ÷ 6 + (5 × 6) × 13 + 6
2)
54 ÷ 6 × (12 - 4) + 2
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
Step 3: 30 × 13 = 390 8 + 390 + 6 Step 3: 9 × 8 = 72 72 + 2
Step 4: 8 + 390 = 398 398 + 6 Step 4: 72 + 2 = 74 74
Step 5: 398 + 6 = 404 404
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
4
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
24 ÷ 8 + (9 × 2) × 4 + 7
2)
64 ÷ 8 × (12 - 2) + 5
3)
12 - 8 + 4 + 9 × (40 ÷ 4)
4)
5 × 2 + (12 + 6) - 28 ÷ 4
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
9)
8 + 3 × 24 ÷ 8 - 3
10)
9 × 2 + 90 ÷ 9 - 4
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
4
1-10
90 80 70 60 50 40 30 20 10 0
1.
82
2.
85
3.
98
4.
21
5.
74
6.
47
7.
51
8.
14
9.
14
10.
24
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
24 ÷ 8 + (9 × 2) × 4 + 7
2)
64 ÷ 8 × (12 - 2) + 5
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
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
Step 5: 75 + 7 = 82 82
3)
12 - 8 + 4 + 9 × (40 ÷ 4)
4)
5 × 2 + (12 + 6) - 28 ÷ 4
Step 1: (40 ÷ 4) = 10 12 - 8 + 4 + 9 × 10 Step 1: (12 + 6) = 18 5 × 2 + 18 - 28 ÷ 4
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
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
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 - 3
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
5
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
54 ÷ 6 + (6 × 3) × 20 + 15
2)
64 ÷ 8 × (5 - 3) + 5
3)
13 - 8 + 2 + 4 × (15 ÷ 5)
4)
8 × 9 + (10 + 5) - 48 ÷ 8
5)
(13 - 4) × 6 + 2 + 49 - 7
6)
(14 ÷ 2 ) + 9 + ( 16 - 9 ) × 2
7)
10 - 5 + 6 × 2 + 54 ÷ 6
8)
32 ÷ 4 + 40 - 60 ÷ 6
9)
9 + 3 × 16 ÷ 8 - 3
10)
2 × 4 + 28 ÷ 4 - 6
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
5
1-10
90 80 70 60 50 40 30 20 10 0
1.
384
2.
21
3.
19
4.
81
5.
98
6.
30
7.
26
8.
38
9.
12
10.
9
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
54 ÷ 6 + (6 × 3) × 20 + 15
2)
64 ÷ 8 × (5 - 3) + 5
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
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
Step 5: 369 + 15 = 384 384
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
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
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
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
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 - 3
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
6
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
32 ÷ 8 + (8 × 5) × 8 + 13
2)
18 ÷ 6 × (7 - 5) + 6
3)
11 - 3 + 5 + 4 × (20 ÷ 4)
4)
4 × 5 + (11 + 8) - 18 ÷ 3
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
9)
12 + 6 × 18 ÷ 2 - 5
10)
6 × 5 + 42 ÷ 6 - 7
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
6
1-10
90 80 70 60 50 40 30 20 10 0
1.
337
2.
12
3.
33
4.
33
5.
79
6.
80
7.
35
8.
16
9.
61
10.
30
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
32 ÷ 8 + (8 × 5) × 8 + 13
2)
18 ÷ 6 × (7 - 5) + 6
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
Step 3: 40 × 8 = 320 4 + 320 + 13 Step 3: 3 × 2 = 6 6 + 6
Step 4: 4 + 320 = 324 324 + 13 Step 4: 6 + 6 = 12 12
Step 5: 324 + 13 = 337 337
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
7
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
60 ÷ 6 + (4 × 6) × 8 + 18
2)
42 ÷ 6 × (14 - 7) + 9
3)
15 - 9 + 9 + 6 × (81 ÷ 9)
4)
6 × 4 + (12 + 7) - 27 ÷ 9
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)
11 + 5 × 81 ÷ 9 - 8
10)
2 × 9 + 70 ÷ 7 - 3
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
7
1-10
90 80 70 60 50 40 30 20 10 0
1.
220
2.
58
3.
69
4.
40
5.
30
6.
18
7.
54
8.
20
9.
48
10.
25
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
60 ÷ 6 + (4 × 6) × 8 + 18
2)
42 ÷ 6 × (14 - 7) + 9
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
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
Step 5: 202 + 18 = 220 220
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
8
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
4 ÷ 2 + (2 × 4) × 16 + 11
2)
18 ÷ 3 × (12 - 5) + 4
3)
14 - 5 + 7 + 5 × (72 ÷ 9)
4)
3 × 8 + (14 + 7) - 70 ÷ 7
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)
9 + 2 × 42 ÷ 6 - 2
10)
7 × 9 + 18 ÷ 3 - 6
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
8
1-10
90 80 70 60 50 40 30 20 10 0
1.
141
2.
46
3.
56
4.
35
5.
56
6.
77
7.
16
8.
38
9.
21
10.
63
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
4 ÷ 2 + (2 × 4) × 16 + 11
2)
18 ÷ 3 × (12 - 5) + 4
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
Step 3: 8 × 16 = 128 2 + 128 + 11 Step 3: 6 × 7 = 42 42 + 4
Step 4: 2 + 128 = 130 130 + 11 Step 4: 42 + 4 = 46 46
Step 5: 130 + 11 = 141 141
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
9
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
9 ÷ 3 + (7 × 5) × 6 + 16
2)
24 ÷ 3 × (4 - 3) + 7
3)
10 - 4 + 7 + 3 × (24 ÷ 4)
4)
6 × 4 + (12 + 9) - 28 ÷ 4
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)
9 + 4 × 16 ÷ 4 - 7
10)
8 × 7 + 90 ÷ 9 - 8
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
9
1-10
90 80 70 60 50 40 30 20 10 0
1.
229
2.
15
3.
31
4.
38
5.
82
6.
29
7.
27
8.
31
9.
18
10.
58
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
9 ÷ 3 + (7 × 5) × 6 + 16
2)
24 ÷ 3 × (4 - 3) + 7
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
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
Step 5: 213 + 16 = 229 229
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
10
1-10
90 80 70 60 50 40 30 20 10 0
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
42 ÷ 6 + (2 × 5) × 1 + 9
2)
40 ÷ 8 × (6 - 3) + 2
3)
10 - 3 + 7 + 5 × (24 ÷ 3)
4)
9 × 4 + (12 + 2) - 30 ÷ 3
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
9)
14 + 5 × 40 ÷ 4 - 7
10)
8 × 3 + 63 ÷ 9 - 6
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
Math
www.CommonCoreSheets.com
Answers
Name:
Answer Key
10
1-10
90 80 70 60 50 40 30 20 10 0
1.
26
2.
17
3.
54
4.
40
5.
39
6.
55
7.
87
8.
41
9.
57
10.
25
Solving Problems Using Order of Operations
Solve the following problems using the order of operations.
1)
42 ÷ 6 + (2 × 5) × 1 + 9
2)
40 ÷ 8 × (6 - 3) + 2
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
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
Step 5: 17 + 9 = 26 26
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
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
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
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
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
Step 1: Parenthesis () Solve all problems in parenthesis FIRST.
Step 2: Exponents
2
,
3
,
4
Next solve any numbers that have exponents.
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).
