Math worksheet for grade 3 students focusing on multiplication properties.

Let's solve this step by step. The task is to identify the correct property of multiplication for each given expression.

Here are the properties of multiplication we need to consider:

1. Zero Property: Any number multiplied by 0 equals 0.
→ $ a \times 0 = 0 $

2. Identity Property: Any number multiplied by 1 stays the same.
→ $ a \times 1 = a $

3. Commutative Property: The order of multiplication does not matter.
→ $ a \times b = b \times a $

4. Associative Property: The grouping of numbers does not affect the product.
→ $ (a \times b) \times c = a \times (b \times c) $

5. Distributive Property: Multiplication distributes over addition.
→ $ a \times (b + c) = (a \times b) + (a \times c) $

---

Now, let’s analyze each problem:

---

1.) $ 48 \times 0 = 0 $
→ This shows that multiplying any number by zero gives zero.
✔ Zero Property

---

2.) $ 1 \times 50 = 50 $
→ Multiplying by 1 leaves the number unchanged.
✔ Identity Property

---

3.) $ 963 \times 1 = 963 $
→ Again, multiplying by 1 keeps the number the same.
✔ Identity Property

---

4.) $ 15 \times 42 = 42 \times 15 $
→ The order of the numbers is switched, but the product is the same.
✔ Commutative Property

---

5.) $ 12 \times (17 \times 13) = (12 \times 17) \times 13 $
→ The grouping of numbers changes, but the result remains the same.
✔ Associative Property

---

6.) $ 0 \times 28 $
→ Although the result isn't shown, it's implied that this equals 0.
→ Any number times zero is zero.
✔ Zero Property

---

7.) $ 53 \times 10 = 10 \times 53 $
→ The order of the factors is switched.
✔ Commutative Property

---

8.) $ 23 \times (6 + 3) = (23 \times 6) + (23 \times 3) $
→ Multiplication is being distributed over addition.
✔ Distributive Property

---

9.) $ 24 \times (16 \times 32) = (24 \times 16) \times 32 $
→ The grouping changes: from $ 24 \times (16 \times 32) $ to $ (24 \times 16) \times 32 $.
✔ Associative Property

---

10.) $ 39 \times (20 - 5) = (39 \times 20) - (39 \times 5) $
→ This is similar to the distributive property, but with subtraction.
→ The distributive property applies to both addition and subtraction:
$ a \times (b - c) = (a \times b) - (a \times c) $
✔ Distributive Property

---

✔ Final Answers:

1. Zero Property
2. Identity Property
3. Identity Property
4. Commutative Property
5. Associative Property
6. Zero Property
7. Commutative Property
8. Distributive Property
9. Associative Property
10. Distributive Property

Let me know if you'd like these written in a table or formatted for printing!