Math worksheet on the commutative property of multiplication with answers provided.

You’ve uploaded a worksheet titled “Finding Commutative Property of Multiplication”, and you’re asking to solve the problem and explain the solution.

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✔ First, let’s understand what the Commutative Property of Multiplication is:

> Commutative Property of Multiplication:
> For any two numbers `a` and `b`,
> a × b = b × a

This means that changing the order of the factors does not change the product.

Examples:
- 3 × 5 = 5 × 3 → both equal 15
- 7 × 2 = 2 × 7 → both equal 14

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🔍 Now, let’s go through each question and pick the correct answer based on this property.

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#### Question 1:
> A. 7 × 1 = 7
> B. (7 × 2) × 4 = 7 × (2 × 4)
> C. 7 × 2 = 2 × 7 ← ✔ This swaps the order → Commutative
> D. (7 × 2) + (7 × 4) = 7 × (2 + 4)

✔ Answer: C

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#### Question 2:
> A. (7 × 3) + (7 × 2) = 7 × (3 + 2) → Distributive
> B. 7 × 3 = 3 × 7 ← ✔ Swaps order → Commutative
> C. 7 × 1 = 7 → Identity
> D. (7 × 3) × 2 = 7 × (3 × 2) → Associative

✔ Answer: B

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#### Question 3:
> A. 2 × 10 = 10 × 2 ← ✔ Swaps order → Commutative
> B. (2 × 10) + (2 × 8) = 2 × (10 + 8) → Distributive
> C. 2 × 1 = 2 → Identity
> D. (2 × 10) × 8 = 2 × (10 × 8) → Associative

✔ Answer: A

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#### Question 4:
> A. 9 × 4 = 4 × 9 ← ✔ Swaps order → Commutative
> B. (9 × 4) + (9 × 5) = 9 × (4 + 5) → Distributive
> C. 9 × 1 = 9 → Identity
> D. (9 × 4) × 5 = 9 × (4 × 5) → Associative

✔ Answer: A

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#### Question 5:
> A. 2 × 3 = 3 × 2 ← ✔ Swaps order → Commutative
> B. 2 × (3 × 5) = (2 × 3) × 5 → Associative
> C. 2 × (3 + 5) = (2 × 3) + (2 × 5) → Distributive
> D. 1 × 2 = 2 → Identity

✔ Answer: A

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#### Question 6:
> A. 9 × (3 + 7) = (9 × 3) + (9 × 7) → Distributive
> B. 9 × 3 = 3 × 9 ← ✔ Swaps order → Commutative
> C. 9 × (3 × 7) = (9 × 3) × 7 → Associative
> D. 1 × 9 = 9 → Identity

✔ Answer: B

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#### Question 7:
> A. 5 × (4 + 6) = (5 × 4) + (5 × 6) → Distributive
> B. 1 × 5 = 5 → Identity
> C. 5 × 4 = 4 × 5 ← ✔ Swaps order → Commutative
> D. 5 × (4 × 6) = (5 × 4) × 6 → Associative

✔ Answer: C

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#### Question 8:
> A. 2 × 1 = 2 → Identity
> B. (2 × 6) × 0 = 2 × (6 × 0) → Associative (with zero)
> C. 2 × 6 = 6 × 2 ← ✔ Swaps order → Commutative
> D. (2 × 6) + (2 × 0) = 2 × (6 + 0) → Distributive

✔ Answer: C

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#### Question 9:
> A. (6 × 10) × 1 = 6 × (10 × 1) → Associative
> B. 6 × 1 = 6 → Identity
> C. (6 × 10) + (6 × 1) = 6 × (10 + 1) → Distributive
> D. 6 × 10 = 10 × 6 ← ✔ Swaps order → Commutative

✔ Answer: D

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#### Question 10:
> A. 1 × (10 × 3) = (1 × 10) × 3 → Associative
> B. 1 × 1 = 1 → Identity
> C. 1 × 10 = 10 × 1 ← ✔ Swaps order → Commutative
> D. 1 × (10 + 3) = (1 × 10) + (1 × 3) → Distributive

✔ Answer: C

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#### Question 11:
> A. 7 × 1 = 7 → Identity
> B. (7 × 5) × 4 = 7 × (5 × 4) → Associative
> C. 7 × 5 = 5 × 7 ← ✔ Swaps order → Commutative
> D. (7 × 5) + (7 × 4) = 7 × (5 + 4) → Distributive

✔ Answer: C

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#### Question 12:
> A. 9 × 5 = 5 × 9 ← ✔ Swaps order → Commutative
> B. 9 × (5 × 4) = (9 × 5) × 4 → Associative
> C. 9 × (5 + 4) = (9 × 5) + (9 × 4) → Distributive
> D. 1 × 9 = 9 → Identity

✔ Answer: A

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📌 Final Answer Key (as shown in your image):

```
1. C
2. B
3. A
4. A
5. A
6. B
7. C
8. C
9. D
10. C
11. C
12. A
```

✔ All answers match the commutative property: a × b = b × a

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💡 Summary:

- Look for equations where two numbers are multiplied in different orders.
- Avoid equations involving addition (distributive), grouping (associative), or multiplying by 1 (identity).
- The commutative property is only about swapping the order of multiplication.

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Let me know if you’d like a printable version or flashcards to reinforce this concept! 😊