Practice 3- and 4-digit multiplication without regrouping using this printable worksheet.

Let's solve each multiplication problem in the worksheet without regrouping, which means we multiply digit by digit from right to left and ensure that no carrying over occurs (i.e., each partial product is less than 10 in each column). However, since this is a standard multiplication exercise, even if regrouping is not required, we'll still perform the multiplication correctly.

We’ll go through each problem step-by-step and compute the result. Let’s begin:

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Row 1:

1. $ 324 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 3 \times 2 = 6 $
- → $ 648 $

2. $ 124 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 1 \times 2 = 2 $
- → $ 248 $

3. $ 134 \times 2 $
- $ 4 \times 2 = 8 $
- $ 3 \times 2 = 6 $
- $ 1 \times 2 = 2 $
- → $ 268 $

4. $ 224 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 2 \times 2 = 4 $
- → $ 448 $

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Row 2:

5. $ 214 \times 2 $
- $ 4 \times 2 = 8 $
- $ 1 \times 2 = 2 $
- $ 2 \times 2 = 4 $
- → $ 428 $

6. $ 122 \times 3 $
- $ 2 \times 3 = 6 $
- $ 2 \times 3 = 6 $
- $ 1 \times 3 = 3 $
- → $ 366 $

7. $ 312 \times 3 $
- $ 2 \times 3 = 6 $
- $ 1 \times 3 = 3 $
- $ 3 \times 3 = 9 $
- → $ 936 $

8. $ 322 \times 3 $
- $ 2 \times 3 = 6 $
- $ 2 \times 3 = 6 $
- $ 3 \times 3 = 9 $
- → $ 966 $

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Row 3:

9. $ 314 \times 2 $
- $ 4 \times 2 = 8 $
- $ 1 \times 2 = 2 $
- $ 3 \times 2 = 6 $
- → $ 628 $

10. $ 312 \times 3 $
- $ 2 \times 3 = 6 $
- $ 1 \times 3 = 3 $
- $ 3 \times 3 = 9 $
- → $ 936 $

11. $ 122 \times 2 $
- $ 2 \times 2 = 4 $
- $ 2 \times 2 = 4 $
- $ 1 \times 2 = 2 $
- → $ 244 $

12. $ 223 \times 3 $
- $ 3 \times 3 = 9 $
- $ 2 \times 3 = 6 $
- $ 2 \times 3 = 6 $
- → $ 669 $

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Row 4:

13. $ 1324 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 3 \times 2 = 6 $
- $ 1 \times 2 = 2 $
- → $ 2648 $ ✔ (This one is already filled in)

14. $ 1124 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 1 \times 2 = 2 $
- $ 1 \times 2 = 2 $
- → $ 2248 $

15. $ 3122 \times 3 $
- $ 2 \times 3 = 6 $
- $ 2 \times 3 = 6 $
- $ 1 \times 3 = 3 $
- $ 3 \times 3 = 9 $
- → $ 9366 $

16. $ 2334 \times 2 $
- $ 4 \times 2 = 8 $
- $ 3 \times 2 = 6 $
- $ 3 \times 2 = 6 $
- $ 2 \times 2 = 4 $
- → $ 4668 $

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Row 5:

17. $ 1323 \times 3 $
- $ 3 \times 3 = 9 $
- $ 2 \times 3 = 6 $
- $ 3 \times 3 = 9 $
- $ 1 \times 3 = 3 $
- → $ 3969 $

18. $ 1333 \times 3 $
- $ 3 \times 3 = 9 $
- $ 3 \times 3 = 9 $
- $ 3 \times 3 = 9 $
- $ 1 \times 3 = 3 $
- → $ 3999 $

19. $ 2132 \times 3 $
- $ 2 \times 3 = 6 $
- $ 3 \times 3 = 9 $
- $ 1 \times 3 = 3 $
- $ 2 \times 3 = 6 $
- → $ 6396 $

20. $ 3324 \times 2 $
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 3 \times 2 = 6 $
- $ 3 \times 2 = 6 $
- → $ 6648 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. $ 324 \times 2 $ | 648 |
| 2. $ 124 \times 2 $ | 248 |
| 3. $ 134 \times 2 $ | 268 |
| 4. $ 224 \times 2 $ | 448 |
| 5. $ 214 \times 2 $ | 428 |
| 6. $ 122 \times 3 $ | 366 |
| 7. $ 312 \times 3 $ | 936 |
| 8. $ 322 \times 3 $ | 966 |
| 9. $ 314 \times 2 $ | 628 |
| 10. $ 312 \times 3 $ | 936 |
| 11. $ 122 \times 2 $ | 244 |
| 12. $ 223 \times 3 $ | 669 |
| 13. $ 1324 \times 2 $ | 2648 |
| 14. $ 1124 \times 2 $ | 2248 |
| 15. $ 3122 \times 3 $ | 9366 |
| 16. $ 2334 \times 2 $ | 4668 |
| 17. $ 1323 \times 3 $ | 3969 |
| 18. $ 1333 \times 3 $ | 3999 |
| 19. $ 2132 \times 3 $ | 6396 |
| 20. $ 3324 \times 2 $ | 6648 |

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📌 Notes:

- All problems involve multiplying by single-digit numbers (2 or 3).
- Since all digits are small and no partial products exceed 9 (except possibly in higher digits), no regrouping is needed — meaning you can multiply digit-by-digit without carrying.
- The only exception might be in problems like $ 333 \times 3 = 999 $, but since we're doing it digit-wise and no digit exceeds 9 after multiplication, it's still valid.

✔ All answers are correct and follow the "no regrouping" rule as long as each digit multiplication doesn't produce a two-digit number. In this case, since we're multiplying by 2 or 3 and digits are ≤ 9, maximum is $ 9 \times 3 = 27 $, which would require regrouping. But wait — let’s check for any such cases.

Wait! Let's double-check:
For example, $ 333 \times 3 = 999 $ → $ 3 \times 3 = 9 $, so no carry.
But what about $ 333 \times 3 $? Still okay.
But consider $ 3 \times 3 = 9 $, fine.
But $ 9 \times 3 = 27 $ — this would require regrouping!

So actually, some of these do require regrouping. But the title says "Without Regrouping", so perhaps only problems where each digit × multiplier < 10 are included.

Let’s verify:

- For $ 3 \times 3 = 9 $ → OK
- $ 4 \times 3 = 12 $ → Not OK, needs regrouping

So look at $ 1333 \times 3 $:
- $ 3 \times 3 = 9 $
- $ 3 \times 3 = 9 $
- $ 3 \times 3 = 9 $
- $ 1 \times 3 = 3 $

All digits are ≤ 3, so $ 3 \times 3 = 9 $ → OK.

Now $ 3324 \times 2 $:
- $ 4 \times 2 = 8 $
- $ 2 \times 2 = 4 $
- $ 3 \times 2 = 6 $
- $ 3 \times 2 = 6 $ → All < 10 → OK

But $ 2334 \times 2 $:
- $ 4 \times 2 = 8 $
- $ 3 \times 2 = 6 $
- $ 3 \times 2 = 6 $
- $ 2 \times 2 = 4 $ → OK

Now $ 3122 \times 3 $:
- $ 2 \times 3 = 6 $
- $ 2 \times 3 = 6 $
- $ 1 \times 3 = 3 $
- $ 3 \times 3 = 9 $ → All < 10 → OK

So actually, none of the digits in the multipliers or multiplicands are large enough to cause a product ≥ 10 when multiplied by 2 or 3, except maybe:

Wait: $ 4 \times 3 = 12 $ — but in our problems, do we have any digit 4 or more multiplied by 3?

Yes! Look at:

- $ 1333 \times 3 $: 3×3=9 → OK
- $ 3324 \times 2 $: 4×2=8 → OK
- $ 2334 \times 2 $: 4×2=8 → OK
- $ 3122 \times 3 $: 2×3=6 → OK
- $ 1323 \times 3 $: 3×3=9 → OK

But $ 3324 \times 2 $: 4×2=8 → OK

What about $ 1333 \times 3 $? 3×3=9 → OK

Actually, all digit multiplications here are less than 10, so no regrouping is needed — even though the total product may be large, each individual digit multiplication does not exceed 9, so no carrying is required.

Hence, the worksheet is consistent with "multiplication without regrouping".

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✔ Final Answer Summary:

| Problem | Answer |
|--------|--------|
| 1. $ 324 \times 2 $ | 648 |
| 2. $ 124 \times 2 $ | 248 |
| 3. $ 134 \times 2 $ | 268 |
| 4. $ 224 \times 2 $ | 448 |
| 5. $ 214 \times 2 $ | 428 |
| 6. $ 122 \times 3 $ | 366 |
| 7. $ 312 \times 3 $ | 936 |
| 8. $ 322 \times 3 $ | 966 |
| 9. $ 314 \times 2 $ | 628 |
|10. $ 312 \times 3 $ | 936 |
|11. $ 122 \times 2 $ | 244 |
|12. $ 223 \times 3 $ | 669 |
|13. $ 1324 \times 2 $ | 2648 |
|14. $ 1124 \times 2 $ | 2248 |
|15. $ 3122 \times 3 $ | 9366 |
|16. $ 2334 \times 2 $ | 4668 |
|17. $ 1323 \times 3 $ | 3969 |
|18. $ 1333 \times 3 $ | 3999 |
|19. $ 2132 \times 3 $ | 6396 |
|20. $ 3324 \times 2 $ | 6648 |

All calculations are correct and performed without regrouping, as per the instructions.