50+ Commutative Property of Multiplication worksheets for 5th ... - Free Printable

Let’s go through each question one by one and explain the correct answer based on multiplication properties.

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Question 1:

> What property is shown by the following equation?
> 2,685 × 1 = 2,685

✔ Correct Answer: A — Identity Property of Multiplication

🔹 Explanation:
The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged.
Here, 2,685 × 1 = 2,685 → the number stays the same. So this is the identity property.

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Question 2:

> What property is shown by the equation:
> 4 × 3 = 3 × 4

✔ Correct Answer: A — Commutative Property Mult

🔹 Explanation:
The Commutative Property of Multiplication says that changing the order of the factors does not change the product.
So, 4 × 3 = 12 and 3 × 4 = 12 → same result. Order doesn’t matter → commutative property.

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Question 3:

> What property is shown by the equation:
> (4 × 2) × 8 = 4 × (2 × 8)

✔ Correct Answer: A — Associative Prop Mult

🔹 Explanation:
The Associative Property of Multiplication says that how you group the numbers (with parentheses) does not change the product.
Left side: (4×2)×8 = 8×8 = 64
Right side: 4×(2×8) = 4×16 = 64 → same result. Grouping changed, but product didn’t → associative property.

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Question 4:

> Which choice best shows the commutative property?

Options:
- A: (2 × 10) × 1 = 2 × (10 × 1) → Associative + Identity
- B: 4 × 0 = 0 → Zero Property
- C: 2 × 1 = 2 → Identity Property
- D: 2 × 10 = 10 × 2 → ✔ Commutative Property

✔ Correct Answer: D — 2 × 10 = 10 × 2

🔹 Explanation:
This directly swaps the order of the two numbers being multiplied — classic example of the commutative property.

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Question 5:

> Find the value of n using Associative Prop of Mult:
> (0 × 10) × 6 = 0 × (n × 6)

✔ Correct Answer: B — n = 10

🔹 Explanation:
The Associative Property allows us to regroup factors without changing the product.
Original left side: (0 × 10) × 6
We can rewrite it as: 0 × (10 × 6) → so comparing to right side: 0 × (n × 6), we see n must be 10.

Even though multiplying by 0 makes everything 0, the property still holds for grouping — so n = 10 is the only value that maintains the structure of the associative property.

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Summary of Answers:

| Question | Correct Answer |
|----------|----------------|
| 1 | A |
| 2 | A |
| 3 | A |
| 4 | D |
| 5 | B |

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Let me know if you’d like help with questions 6–10 too!