Math worksheet teaching the distributive property of multiplication, featuring six problems that guide students to break down numbers into addends, multiply, and find the product.

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

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🔹 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!