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Answers Solving Problems Using Order of Operations 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 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 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 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 1-10 90 80 70 60 50 40 30 20 10 0 Math www.CommonCoreSheets.com 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) 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 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 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 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 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 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.
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