Math worksheet for practicing multiplication using the distributive property.

You're asked to multiply a two-digit number by a one-digit number using the distributive property.

The distributive property says:
> a × (b + c) = (a × b) + (a × c)

In this case, we’re breaking the two-digit number into its tens and ones place, then multiplying each part by the one-digit number, and finally adding the results.

Let’s solve each problem step by step:

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🔹 Problem 1: 74 × 3 (Example given)

Break 74 into 70 + 4
→ (70 × 3) + (4 × 3)
→ 210 + 12 = 222

✔ Already filled in — good reference!

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🔹 Problem 2: 62 × 5

Break 62 into 60 + 2
→ (60 × 5) + (2 × 5)
→ 300 + 10 = 310

Fill in:
```
62 × 5 = [60] × [5] + [2] × [5]
[300] + [10] = [310]
```

---

🔹 Problem 3: 57 × 7

Break 57 into 50 + 7
→ (50 × 7) + (7 × 7)
→ 350 + 49 = 399

Fill in:
```
57 × 7 = [50] × [7] + [7] × [7]
[350] + [49] = [399]
```

---

🔹 Problem 4: 85 × 4

Break 85 into 80 + 5
→ (80 × 4) + (5 × 4)
→ 320 + 20 = 340

Fill in:
```
85 × 4 = [80] × [4] + [5] × [4]
[320] + [20] = [340]
```

---

🔹 Problem 5: 28 × 6

Break 28 into 20 + 8
→ (20 × 6) + (8 × 6)
→ 120 + 48 = 168

Fill in:
```
28 × 6 = [20] × [6] + [8] × [6]
[120] + [48] = [168]
```

---

🔹 Problem 6: 19 × 2

Break 19 into 10 + 9
→ (10 × 2) + (9 × 2)
→ 20 + 18 = 38

Fill in:
```
19 × 2 = [10] × [2] + [9] × [2]
[20] + [18] = [38]
```

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## ✔ Final Answers Summary:

| Problem | Breakdown | Result |
|---------|-------------------------------|--------|
| 62×5 | (60×5) + (2×5) = 300 + 10 | 310 |
| 57×7 | (50×7) + (7×7) = 350 + 49 | 399 |
| 85×4 | (80×4) + (5×4) = 320 + 20 | 340 |
| 28×6 | (20×6) + (8×6) = 120 + 48 | 168 |
| 19×2 | (10×2) + (9×2) = 20 + 18 | 38 |

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## 💡 Why This Works:
This method helps students understand place value and how multiplication distributes over addition. It’s also a great mental math strategy — breaking big numbers into smaller, easier-to-multiply parts.

Let me know if you’d like to see these solved with area models or standard algorithm too!