Order of Operations Worksheet

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NEO Mon, Jan 24, 2022 07:53 AM UTC

Practice solving problems using order of operations.

1. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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.
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
9) 10 + 8 × 90 ÷ 9 - 4 10) 8 × 3 + 70 ÷ 7 - 7
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 1

2. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 255
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 9
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. 33
1) 21 ÷ 3 + (3 × 9) × 9 + 5 2) 18 ÷ 6 × (4 - 3) + 6
38
4.
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+6 110
5.
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 20
6.
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 47
8.
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 86
9.
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 27
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 1

3. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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.
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
9) 4 + 2 × 18 ÷ 6 - 9 10) 8 × 3 + 40 ÷ 5 - 8
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 2

4. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 580
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 17
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. 18
1) 30 ÷ 5 + (5 × 6) × 19 + 4 2) 35 ÷ 7 × (7 - 4) + 2
27
4.
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 40
5.
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 43
6.
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 21
8.
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 1
9.
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 24
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 2

5. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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.
7.
3) 8 - 4 + 5 + 6 × (60 ÷ 6) 4) 9 × 5 + (13 + 5) - 10 ÷ 2
8.
9.
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
9) 14 + 6 × 9 ÷ 3 - 8 10) 5 × 7 + 12 ÷ 6 - 5
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 3

6. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 404
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 74
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. 69
1) 48 ÷ 6 + (5 × 6) × 13 + 6 2) 54 ÷ 6 × (12 - 4) + 2
58
4.
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 32
5.
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 42
6.
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 14
8.
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 24
9.
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 32
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 3

7. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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.
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 4

8. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 82
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 85
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. 98
1) 24 ÷ 8 + (9 × 2) × 4 + 7 2) 64 ÷ 8 × (12 - 2) + 5
21
4.
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 74
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 47
6.
Step 5: 75 + 7 = 82 82
7. 51
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 14
8.
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 14
9.
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
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 4

9. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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.
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 5

10. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 384
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 21
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. 19
1) 54 ÷ 6 + (6 × 3) × 20 + 15 2) 64 ÷ 8 × (5 - 3) + 5
81
4.
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 98
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 30
6.
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 38
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 12
9.
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 9
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
Math www.CommonCoreSheets.com 5

11. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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.
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
9) 12 + 6 × 18 ÷ 2 - 5 10) 6 × 5 + 42 ÷ 6 - 7
1-10 90 80 70 60 50 40 30 20 10 0
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12. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 337
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 12
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. 33
1) 32 ÷ 8 + (8 × 5) × 8 + 13 2) 18 ÷ 6 × (7 - 5) + 6
33
4.
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 79
5.
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 80
6.
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 16
8.
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 61
9.
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 30
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
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13. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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) 11 + 5 × 81 ÷ 9 - 8 10) 2 × 9 + 70 ÷ 7 - 3
1-10 90 80 70 60 50 40 30 20 10 0
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14. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 220
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 58
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. 69
1) 60 ÷ 6 + (4 × 6) × 8 + 18 2) 42 ÷ 6 × (14 - 7) + 9
40
4.
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 30
5.
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 18
6.
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 20
8.
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 48
9.
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 25
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
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15. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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.
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) 9 + 2 × 42 ÷ 6 - 2 10) 7 × 9 + 18 ÷ 3 - 6
1-10 90 80 70 60 50 40 30 20 10 0
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16. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 141
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 46
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. 56
1) 4 ÷ 2 + (2 × 4) × 16 + 11 2) 18 ÷ 3 × (12 - 5) + 4
35
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 56
5.
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 77
6.
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 38
8.
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 21
9.
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 63
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
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17. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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) 9 + 4 × 16 ÷ 4 - 7 10) 8 × 7 + 90 ÷ 9 - 8
1-10 90 80 70 60 50 40 30 20 10 0
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18. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 229
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 15
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. 31
1) 9 ÷ 3 + (7 × 5) × 6 + 16 2) 24 ÷ 3 × (4 - 3) + 7
38
4.
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 82
5.
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 29
6.
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 31
8.
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 18
9.
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 58
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
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19. Solving Problems Using Order of Operations Name:
Solve the following problems using the order of operations. 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) 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.
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
9) 14 + 5 × 40 ÷ 4 - 7 10) 8 × 3 + 63 ÷ 9 - 6
1-10 90 80 70 60 50 40 30 20 10 0
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20. Solving Problems Using Order of Operations Name: Answer Key
Solve the following problems using the order of operations. Answers
Step 1: Parenthesis () Solve all problems in parenthesis FIRST. 1. 26
Step 2: Exponents 2,3,4 Next solve any numbers that have exponents.
2. 17
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. 54
1) 42 ÷ 6 + (2 × 5) × 1 + 9 2) 40 ÷ 8 × (6 - 3) + 2
40
4.
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 39
5.
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 55
6.
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 41
8.
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 57
9.
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 25
10.
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
1-10 90 80 70 60 50 40 30 20 10 0
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