Practice: Order of Operations

Grade 5 Mathematics | Independent Practice

Name:
Date:

Parentheses - Exponents - Multiply/Divide (left to right) - Add/Subtract (left to right)

Part A: Evaluate Each Expression

Directions: Use PEMDAS to solve each expression. Show your work in the space provided.

1. 7 + 3 x 4 =

Work:

2. 20 - 8 ÷ 2 =

Work:

3. 5 x 6 - 10 =

Work:

4. 36 ÷ 6 + 9 =

Work:

Part B: Expressions with Parentheses

Directions: Remember - solve inside parentheses FIRST!

5. (4 + 5) x 3 =

Work:

6. 24 ÷ (8 - 2) =

Work:

7. (12 - 4) x (3 + 2) =

Work:

8. 50 - (6 + 4) x 3 =

Work:

Part C: Expressions with Exponents

Directions: Evaluate exponents AFTER parentheses but BEFORE multiply/divide.
Remember: 3² means 3 x 3 = 9

9. 2² + 5 =

Work:

10. 3² x 4 =

Work:

11. 10 + 2³ =

Work: (Hint: 2³ = 2 x 2 x 2)

12. (5 - 2)² + 1 =

Work:

Part D: True or False

Directions: Circle T if the statement is true or F if it is false.
13. In 8 + 4 x 2, you should add 8 + 4 first.
T
F
14. Multiplication and division are done left to right.
T
F
15. Parentheses are always solved last.
T
F
16. (2 + 3) x 4 and 2 + 3 x 4 give the same answer.
T
F

Part E: Match Expression to Answer

Directions: Match each expression to its correct answer. Write the letter on the line.

Expressions

17. 6 + 3 x 5
18. (6 + 3) x 5
19. 4² - 6
20. 18 ÷ 3 + 4

Answers

A 45
B 10
C 21
D 10

Challenge Problems

21. 2 x 3² + (12 - 4) ÷ 2 =

Show all steps:

22. Write an expression using the numbers 2, 3, and 4 with addition and multiplication that equals 14. Use parentheses if needed.

Expression:

23. Maya says that 5 + 3 x 2 = 16. Explain her error and find the correct answer.

Explanation:

FAST Success Kit | Grade 5 | FL B.E.S.T. Standard: MA.5.AR.2.2