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Order of Operations Worksheet Generator

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Learn order of operations

Order of operations is the agreed sequence for evaluating expressions: grouping, exponents, multiplication or division, then addition or subtraction.

By the end of this lesson

You will evaluate an expression in the correct order without skipping or reordering steps.

Review first if you need it: Integer Operations
01

The idea in plain English

A calculation with several operations needs one agreed order so everyone gets the same result.

Multiplication and division share a level; addition and subtraction share a level. Work left to right within each level.

02

How to recognise this kind of question

  • The expression contains two or more kinds of operations.
  • You may see parentheses or exponents.
  • There is usually no variable to solve.

Quick decision: Parentheses, exponents, multiply or divide left to right, then add or subtract left to right.

03

The method

  1. Evaluate expressions inside grouping symbols.
  2. Calculate exponents.
  3. Work multiplication and division from left to right, then addition and subtraction from left to right.
04

Worked examples

Start here

3 + 4 × 2

  1. Multiply first: 4 × 2 = 8.
  2. Then add: 3 + 8 = 11.

Answer: 11

A little harder

18 ÷ 3 × 2 + 1

  1. Divide and multiply left to right: 18 ÷ 3 = 6, then 6 × 2 = 12.
  2. Add 1.

Answer: 13

05

Your turn—with help

Try it

4 + 3(5 − 2)

Need a hint?

Do the parentheses before multiplication.

4 + 3(3)

Show the answer and steps
  1. Parentheses: 5 − 2 = 3.
  2. Multiply: 3 × 3 = 9.
  3. Add: 4 + 9 = 13.

Answer: 13

06

Watch out for this mistake

Incorrect: 6 + 2 × 5 = 40

Why it fails: Adding first changes the expression's agreed meaning.

Do this instead: Multiply 2 × 5 first, then add 6 to get 16.

07

Quick check

Try these without looking. Then open each answer to check your thinking.

Question 1

6 + 2 × 5

Need a hint?

Multiply before adding.

Show the answer and steps
  1. 2 × 5 = 10.
  2. 6 + 10 = 16.

Answer: 16

Question 2

(8 − 3)²

Need a hint?

Parentheses first, then exponent.

Show the answer and steps
  1. 8 − 3 = 5.
  2. 5² = 25.

Answer: 25

Question 3

20 ÷ 4 × 2

Need a hint?

Division and multiplication go left to right.

Show the answer and steps
  1. 20 ÷ 4 = 5.
  2. 5 × 2 = 10.

Answer: 10

Remember thisSame-level operations move left to right.

Common mistakes

  • Working strictly from left to right before multiplication.
  • Treating addition as higher priority than multiplication.
  • Applying an exponent to more than its stated base.

Practice tips

  • Rewrite the expression after completing each priority level.
  • Use one line per step so the order stays visible.
Free printable practice

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20 verified problemsSeed 482731
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Worksheet #482731
Arithmetic practice

Order of Operations

Name Date
  1. 10 + 5 × 8
  2. 3 + 2 × 3
  3. 7 + 4 × 9
  4. 9 + 2 × 1
  5. 1² + 6 × 1
  6. 7² + 8 × 10
  7. 2² + 5 × 10
  8. 5 + 3 × 5
  9. 5 + 1 × 3
  10. (5 + 8) × 7
  11. (10 + 6) × 6
  12. (8 + 2) × 9
  13. (10 + 10) × 3
  14. 8² + 9 × 6
  15. (2 + 3) × 10
  16. 10 + 9 × 5
  17. 9 + 1 × 7
  18. 7² + 3 × 3
  19. 2² + 8 × 3
  20. (8 + 3) × 9
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