Back to Student Worksheet
Math Grade 4-5 Answer Key

Order of Operations (PEMDAS) Practice

Solving expressions in the correct order

Answer Key
Name:
Date:
Score: / 12

Order of Operations (PEMDAS) Practice

Solving expressions in the correct order

Math - Grade 4-5

Instructions: Solve each expression using the order of operations. Show your work in the space provided.
  1. 1

    Solve: 6 + 4 × 3

    Multiplication comes before addition.

    The value is 18. Multiply first: 4 × 3 = 12. Then add: 6 + 12 = 18.
  2. 2

    Solve: (6 + 4) × 3

    The value is 30. Do the parentheses first: 6 + 4 = 10. Then multiply: 10 × 3 = 30.
  3. 3

    Solve: 20 - 12 ÷ 4

    Division comes before subtraction.

    The value is 17. Divide first: 12 ÷ 4 = 3. Then subtract: 20 - 3 = 17.
  4. 4

    Solve: 5 × (8 - 3) + 2

    The value is 27. Do the parentheses first: 8 - 3 = 5. Then multiply: 5 × 5 = 25. Then add: 25 + 2 = 27.
  5. 5

    Solve: 36 ÷ 6 + 7 × 2

    Work multiplication and division before addition. Go left to right for operations at the same level.

    The value is 20. Divide and multiply before adding: 36 ÷ 6 = 6 and 7 × 2 = 14. Then add: 6 + 14 = 20.
  6. 6

    Solve: 18 - (3 + 2) × 2

    The value is 8. Do the parentheses first: 3 + 2 = 5. Then multiply: 5 × 2 = 10. Then subtract: 18 - 10 = 8.
  7. 7

    Solve: 9 + 24 ÷ (6 - 2)

    Start inside the parentheses.

    The value is 15. Do the parentheses first: 6 - 2 = 4. Then divide: 24 ÷ 4 = 6. Then add: 9 + 6 = 15.
  8. 8

    Solve: 4 × 3 + 16 ÷ 8

    The value is 14. Multiply and divide first: 4 × 3 = 12 and 16 ÷ 8 = 2. Then add: 12 + 2 = 14.
  9. 9

    A student solved 7 + 5 × 2 and got 24 by adding first. Explain the mistake and give the correct value.

    Check which operation should happen first in PEMDAS.

    The mistake was adding before multiplying. Multiplication should be done first: 5 × 2 = 10. Then add: 7 + 10 = 17, so the correct value is 17.
  10. 10

    Use the order of operations to solve: (12 + 8) ÷ 5 + 6

    The value is 10. Do the parentheses first: 12 + 8 = 20. Then divide: 20 ÷ 5 = 4. Then add: 4 + 6 = 10.
  11. 11

    Solve: 30 ÷ 5 × 2

    When multiplication and division are together, solve from left to right.

    The value is 12. Division and multiplication have the same priority, so work from left to right: 30 ÷ 5 = 6, then 6 × 2 = 12.
  12. 12

    Put parentheses in the expression 8 + 4 × 2 so that the value is 24. Then explain your answer.

    Choose the operation that should happen first to make the answer larger.

    The expression should be (8 + 4) × 2. The parentheses make 8 + 4 happen first, which equals 12. Then 12 × 2 = 24.
LivePhysics™.com Math - Grade 4-5 - Answer Key