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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