Math worksheet teaching the distributive property of multiplication with six practice problems and examples.

Let's solve each problem step by step using the distributive property of multiplication, which states:

> $ a \times (b + c) = (a \times b) + (a \times c) $

This means we break one number into two parts, multiply each part by the other number, and then add the results.

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🔹 Problem 1: $ 12 \times 4 $

We are given:
$$
12 \times 4 = (10 + 2) \times 4
$$

Now apply distributive property:
$$
= (10 \times 4) + (2 \times 4)
= 40 + 8
= 48
$$

✔ Answer: 48

---

🔹 Problem 2: $ 4 \times 14 $

Break 14 into $ 10 + 4 $:
$$
4 \times 14 = 4 \times (10 + 4)
= (4 \times 10) + (4 \times 4)
= 40 + 16
= 56
$$

✔ Answer: 56

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🔹 Problem 3: $ 3 \times 18 $

Break 18 into $ 10 + 8 $:
$$
3 \times 18 = 3 \times (10 + 8)
= (3 \times 10) + (3 \times 8)
= 30 + 24
= 54
$$

✔ Answer: 54

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🔹 Problem 4: $ 22 \times 8 $

Break 22 into $ 20 + 2 $:
$$
22 \times 8 = (20 + 2) \times 8
= (20 \times 8) + (2 \times 8)
= 160 + 16
= 176
$$

✔ Answer: 176

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🔹 Problem 5: $ 4 \times 25 $

Break 25 into $ 20 + 5 $:
$$
4 \times 25 = 4 \times (20 + 5)
= (4 \times 20) + (4 \times 5)
= 80 + 20
= 100
$$

✔ Answer: 100

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🔹 Problem 6: $ 18 \times 6 $

Break 18 into $ 10 + 8 $:
$$
18 \times 6 = (10 + 8) \times 6
= (10 \times 6) + (8 \times 6)
= 60 + 48
= 108
$$

✔ Answer: 108

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## ✔ Final Answers Filled In:

① $ 12 \times 4 $

$$
= (10 + 2) \times 4 \\
= (10 \times 4) + (2 \times 4) \\
= 40 + 8 \\
= 48
$$

② $ 4 \times 14 $

$$
= 4 \times (10 + 4) \\
= (4 \times 10) + (4 \times 4) \\
= 40 + 16 \\
= 56
$$

③ $ 3 \times 18 $

$$
= 3 \times (10 + 8) \\
= (3 \times 10) + (3 \times 8) \\
= 30 + 24 \\
= 54
$$

④ $ 22 \times 8 $

$$
= (20 + 2) \times 8 \\
= (20 \times 8) + (2 \times 8) \\
= 160 + 16 \\
= 176
$$

⑤ $ 4 \times 25 $

$$
= 4 \times (20 + 5) \\
= (4 \times 20) + (4 \times 5) \\
= 80 + 20 \\
= 100
$$

⑥ $ 18 \times 6 $

$$
= (10 + 8) \times 6 \\
= (10 \times 6) + (8 \times 6) \\
= 60 + 48 \\
= 108
$$

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📌 Summary of All Answers:

| Problem | Answer |
|--------|--------|
| ① | 48 |
| ② | 56 |
| ③ | 54 |
| ④ | 176 |
| ⑤ | 100 |
| ⑥ | 108 |

Let me know if you'd like a printable version or explanation for younger learners!