MathematicsFreePrintable

Math Properties Practice

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Math Properties Practice worksheet preview

Math Properties Practice

Math properties illustration

📚 Part 1: Identifying Math Properties

1. Which property is shown by: 5 + 8 = 8 + 5?

Commutative Property

Associative Property

Distributive Property

2. Which property is shown by: 3 × (4 + 2) = 3 × 4 + 3 × 2?

Commutative Property

Associative Property

Distributive Property

3. Which property is shown by: (2 + 3) + 4 = 2 + (3 + 4)?

Commutative Property

Associative Property

Distributive Property

4. Which of these examples show the Commutative Property? (Check all that apply)

7 × 3 = 3 × 7

6 + 2 = 2 + 6

4 × (5 + 1) = 4 × 5 + 4 × 1

9 × 2 = 2 × 9

✏️ Part 2: Applying Properties to Simplify

5. Use the Distributive Property to simplify: 6 × (3 + 4)
6. Use the Associative Property to rewrite: (8 + 5) + 2
7. Simplify using any property: 7 × (10 + 5)
8. Fill in the blanks using the Commutative Property:

a) 12 + 9 = _____ + 12

b) 4 × 7 = 7 × _____

c) _____ + 15 = 15 + 8

🎯 Part 3: Explain Your Thinking

9. Explain in your own words what the Distributive Property means and why it's useful:
10. Create your own example showing the Associative Property with multiplication:

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