MathematicsFreePrintable
Math Properties Practice
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Math Properties Practice
📚 Part 1: Identifying Properties
1. Which property is shown by the equation 4 + 7 = 7 + 4?
Commutative Property
Associative Property
Distributive Property
2. Which property is shown by the equation (2 × 3) × 5 = 2 × (3 × 5)?
Commutative Property
Associative Property
Distributive Property
3. Which property is shown by the equation 3 × (4 + 2) = 3 × 4 + 3 × 2?
Commutative Property
Associative Property
Distributive Property
4. Which equations show the Commutative Property? (Check all that apply)
8 + 3 = 3 + 8
5 × 6 = 6 × 5
(2 + 4) + 1 = 2 + (4 + 1)
9 × 2 = 2 × 9
✏️ Part 2: Applying Properties
5. Use the Distributive Property to simplify: 6 × (5 + 3)
6. Fill in the blanks using the Commutative Property:
a) 12 + 8 = _____ + _____
b) 7 × 4 = _____ × _____
7. Fill in the blanks using the Associative Property:
a) (3 + 5) + 2 = 3 + (_____ + _____)
b) (4 × 2) × 6 = _____ × (2 × 6)
8. Simplify using any property: (8 + 12) + 7
🧠 Part 3: Explain Your Thinking
9. Explain in your own words what the Distributive Property means and give an example.
10. Why do you think these properties are useful for solving math problems? Give at least one reason.
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