MathematicsFreePrintable

Properties of Operations

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Properties of Operations worksheet preview

Properties of Operations

Mathematical properties illustration

📚 Part 1: Identifying Properties

1. Which property is shown in this equation: 5 + 8 = 8 + 5?

Commutative Property

Associative Property

Distributive Property

2. Which property is shown in this equation: (3 + 4) + 6 = 3 + (4 + 6)?

Commutative Property

Associative Property

Distributive Property

3. Which property is shown in this equation: 4 × (2 + 3) = 4 × 2 + 4 × 3?

Commutative Property

Associative Property

Distributive Property

4. Which property lets you change the order of numbers without changing the answer?

Commutative Property

Associative Property

Distributive Property

✏️ Part 2: Creating Equivalent Expressions

5. Use the Commutative Property to rewrite: 7 × 9 = ____________
6. Use the Associative Property to rewrite: (5 + 2) + 8 = ____________
7. Use the Distributive Property to rewrite: 6 × (4 + 3) = ____________
8. Fill in the blanks using properties of operations:

a) 12 + 15 = _____ + 12 (Commutative Property)

b) (2 × 3) × 5 = 2 × (_____ × 5) (Associative Property)

c) 3 × (8 + 2) = 3 × _____ + 3 × _____ (Distributive Property)

🎯 Part 3: Show Your Understanding

9. Write an "I can..." statement about what you learned today:
10. Create your own example for each property:

Commutative Property: _________________________

Associative Property: _________________________

Distributive Property: _________________________

11. Explain in your own words why knowing these properties is helpful:

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds