2-Digit by 1-Digit Multiplication Without Regrouping Practice Worksheet

You're working on 2-digit by 1-digit multiplication without regrouping — meaning when you multiply each digit, the result is a single digit (0–9), so you don’t need to carry over any tens to the next column.

Let’s solve each problem step-by-step and explain the process.

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✔ General Method:

For a problem like `AB × C` (where AB is a 2-digit number and C is a 1-digit number):

1. Multiply the ones digit of the 2-digit number by the 1-digit number → write that digit in the ones place.
2. Multiply the tens digit of the 2-digit number by the 1-digit number → write that digit in the tens place.
3. Since there’s no regrouping, each multiplication gives a single digit — no carrying needed!

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## 📝 Let’s solve each one:

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Row 1:

1. 21 × 1

- Ones: 1 × 1 = 1
- Tens: 2 × 1 = 2
→ 21

2. 24 × 2

- Ones: 4 × 2 = 8
- Tens: 2 × 2 = 4
→ 48

3. 33 × 3

- Ones: 3 × 3 = 9
- Tens: 3 × 3 = 9
→ 99

4. 32 × 2

- Ones: 2 × 2 = 4
- Tens: 3 × 2 = 6
→ 64

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Row 2:

5. 42 × 2

- Ones: 2 × 2 = 4
- Tens: 4 × 2 = 8
→ 84

6. 52 × 3

- Ones: 2 × 3 = 6
- Tens: 5 × 3 = 15 → ❗Wait! 15 is two digits → this requires regrouping.

But the worksheet says “Without Regrouping” — so let’s double-check:
Actually, 52 × 3 = 156, which definitely requires regrouping.
This might be an error in the worksheet, or perhaps it’s included to test understanding?
But since the title says “without regrouping,” maybe we should skip or note it.

However, looking at all problems — many do require regrouping (like 52×3, 74×2, etc.). So perhaps the worksheet is mislabeled, or "without regrouping" refers to *some* problems only.

But let’s proceed with correct math — even if regrouping is needed — since the goal is to solve them.

So:

52 × 3 = 156

But since the worksheet says “without regrouping,” and this one clearly needs it, perhaps it's a trick? Or maybe it's okay to solve as-is.

Actually, let’s check the rest — many others also require regrouping.

➡️ Important Note: The worksheet title may be misleading. Many of these problems do require regrouping. For example:

- 52 × 3 → 2×3=6, 5×3=15 → carry 1 → 156
- 74 × 2 → 4×2=8, 7×2=14 → carry 1 → 148

So perhaps the worksheet meant “2-digit by 1-digit multiplication” and “without regrouping” applies only to some — or it’s a mistake.

But since your task is to solve the problem, I’ll solve all correctly, noting where regrouping is needed.

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Let’s continue solving all accurately.

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Row 2 (continued):

6. 52 × 3

- 2 × 3 = 6 → ones place
- 5 × 3 = 15 → write 5 in tens, carry 1 to hundreds
→ 156

7. 61 × 2

- 1 × 2 = 2
- 6 × 2 = 12 → write 2 in tens, carry 1 to hundreds
→ 122

8. 71 × 1

- 1 × 1 = 1
- 7 × 1 = 7
→ 71

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Row 3:

9. 31 × 1

- 1 × 1 = 1
- 3 × 1 = 3
→ 31

10. 74 × 2

- 4 × 2 = 8
- 7 × 2 = 14 → write 4 in tens, carry 1 to hundreds
→ 148

11. 34 × 2

- 4 × 2 = 8
- 3 × 2 = 6
→ 68

12. 62 × 4

- 2 × 4 = 8
- 6 × 4 = 24 → write 4 in tens, carry 2 to hundreds
→ 248

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Row 4:

13. 54 × 2

- 4 × 2 = 8
- 5 × 2 = 10 → write 0 in tens, carry 1 to hundreds
→ 108

14. 81 × 1

- 1 × 1 = 1
- 8 × 1 = 8
→ 81

15. 82 × 2

- 2 × 2 = 4
- 8 × 2 = 16 → write 6 in tens, carry 1 to hundreds
→ 164

16. 91 × 3

- 1 × 3 = 3
- 9 × 3 = 27 → write 7 in tens, carry 2 to hundreds
→ 273

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Row 5:

17. 94 × 2

- 4 × 2 = 8
- 9 × 2 = 18 → write 8 in tens, carry 1 to hundreds
→ 188

18. 43 × 3

- 3 × 3 = 9
- 4 × 3 = 12 → write 2 in tens, carry 1 to hundreds
→ 129

19. 53 × 2

- 3 × 2 = 6
- 5 × 2 = 10 → write 0 in tens, carry 1 to hundreds
→ 106

20. 52 × 2

- 2 × 2 = 4
- 5 × 2 = 10 → write 0 in tens, carry 1 to hundreds
→ 104

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## ✔ Final Answers (in order, row by row):

Row 1:
21, 48, 99, 64

Row 2:
84, 156, 122, 71

Row 3:
31, 148, 68, 248

Row 4:
108, 81, 164, 273

Row 5:
188, 129, 106, 104

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## 🧠 Key Takeaway:

Even though the worksheet says “Without Regrouping,” many of these problems require regrouping. This might be intentional to challenge students or a labeling error.

✔ To solve 2-digit × 1-digit multiplication:

1. Multiply the ones digit → write result in ones place.
2. Multiply the tens digit → write result in tens place (if >9, carry over to hundreds).
3. Add any carried digit to the next higher place value.

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## 🖊️ If you’re filling out the worksheet, here’s how to write the answers:

```
21 48 99 64
84 156 122 71
31 148 68 248
108 81 164 273
188 129 106 104
```

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Let me know if you’d like a printable version or explanation for just the “no regrouping” ones — but as shown, only a few (like 21×1, 31×1, 71×1, 81×1) truly don’t require regrouping.

Happy learning! 😊