Adding Three Digit Numbers with Regrouping Worksheet

Let's solve each of the three-digit addition problems with regrouping, then determine whether each sum is odd or even, so we can follow the coloring instructions:

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🔷 Step-by-step Solutions

We'll go through each problem and compute the sum.

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1. 638 + 252
- 8 + 2 = 10 → write 0, carry 1
- 3 + 5 + 1 = 9
- 6 + 2 = 8
→ 890 (even) ✔

2. 473 + 508
- 3 + 8 = 11 → write 1, carry 1
- 7 + 0 + 1 = 8
- 4 + 5 = 9
→ 981 (odd) ✔

3. 258 + 436
- 8 + 6 = 14 → write 4, carry 1
- 5 + 3 + 1 = 9
- 2 + 4 = 6
→ 694 (even) ✔

4. 478 + 427
- 8 + 7 = 15 → write 5, carry 1
- 7 + 2 + 1 = 10 → write 0, carry 1
- 4 + 4 + 1 = 9
→ 905 (odd) ✔

5. 311 + 459
- 1 + 9 = 10 → write 0, carry 1
- 1 + 5 + 1 = 7
- 3 + 4 = 7
→ 770 (even) ✔

6. 457 + 348
- 7 + 8 = 15 → write 5, carry 1
- 5 + 4 + 1 = 10 → write 0, carry 1
- 4 + 3 + 1 = 8
→ 805 (odd) ✔

7. 575 + 406
- 5 + 6 = 11 → write 1, carry 1
- 7 + 0 + 1 = 8
- 5 + 4 = 9
→ 981 (odd) ✔

8. 572 + 329
- 2 + 9 = 11 → write 1, carry 1
- 7 + 2 + 1 = 10 → write 0, carry 1
- 5 + 3 + 1 = 9
→ 901 (odd) ✔

9. 289 + 409
- 9 + 9 = 18 → write 8, carry 1
- 8 + 0 + 1 = 9
- 2 + 4 = 6
→ 698 (even) ✔

10. 774 + 228
- 4 + 8 = 12 → write 2, carry 1
- 7 + 2 + 1 = 10 → write 0, carry 1
- 7 + 2 + 1 = 10
→ 1002 (even) ✔

11. 559 + 344
- 9 + 4 = 13 → write 3, carry 1
- 5 + 4 + 1 = 10 → write 0, carry 1
- 5 + 3 + 1 = 9
→ 903 (odd) ✔

12. 824 + 179
- 4 + 9 = 13 → write 3, carry 1
- 2 + 7 + 1 = 10 → write 0, carry 1
- 8 + 1 + 1 = 10
→ 1003 (odd) ✔

13. 562 + 338
- 2 + 8 = 10 → write 0, carry 1
- 6 + 3 + 1 = 10 → write 0, carry 1
- 5 + 3 + 1 = 9
→ 900 (even) ✔

14. 478 + 504
- 8 + 4 = 12 → write 2, carry 1
- 7 + 0 + 1 = 8
- 4 + 5 = 9
→ 982 (even) ✔

15. 567 + 429
- 7 + 9 = 16 → write 6, carry 1
- 6 + 2 + 1 = 9
- 5 + 4 = 9
→ 996 (even) ✔

16. 627 + 365
- 7 + 5 = 12 → write 2, carry 1
- 2 + 6 + 1 = 9
- 6 + 3 = 9
→ 992 (even) ✔

17. 529 + 473
- 9 + 3 = 12 → write 2, carry 1
- 2 + 7 + 1 = 10 → write 0, carry 1
- 5 + 4 + 1 = 10
→ 1002 (even) ✔

18. 785 + 118
- 5 + 8 = 13 → write 3, carry 1
- 8 + 1 + 1 = 10 → write 0, carry 1
- 7 + 1 + 1 = 9
→ 903 (odd) ✔

19. 255 + 345
- 5 + 5 = 10 → write 0, carry 1
- 5 + 4 + 1 = 10 → write 0, carry 1
- 2 + 3 + 1 = 6
→ 600 (even) ✔

20. 555 + 437
- 5 + 7 = 12 → write 2, carry 1
- 5 + 3 + 1 = 9
- 5 + 4 = 9
→ 992 (even) ✔

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🎨 Coloring Instructions:

- Odd answers → Color pink
- Even answers → Color green

Now let’s list which ones are odd and even:

| Problem | Answer | Odd/Even | Color |
|--------|--------|----------|-------|
| 1 | 890 | Even | Green |
| 2 | 981 | Odd | Pink |
| 3 | 694 | Even | Green |
| 4 | 905 | Odd | Pink |
| 5 | 770 | Even | Green |
| 6 | 805 | Odd | Pink |
| 7 | 981 | Odd | Pink |
| 8 | 901 | Odd | Pink |
| 9 | 698 | Even | Green |
| 10 | 1002 | Even | Green |
| 11 | 903 | Odd | Pink |
| 12 | 1003 | Odd | Pink |
| 13 | 900 | Even | Green |
| 14 | 982 | Even | Green |
| 15 | 996 | Even | Green |
| 16 | 992 | Even | Green |
| 17 | 1002 | Even | Green |
| 18 | 903 | Odd | Pink |
| 19 | 600 | Even | Green |
| 20 | 992 | Even | Green |

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✔ Final Answer Summary:

- Pink squares (odd): Problems 2, 4, 6, 7, 8, 11, 12, 18
- Green squares (even): All others (1, 3, 5, 9, 10, 13, 14, 15, 16, 17, 19, 20)

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📝 Explanation:

- We added three-digit numbers using column addition, including regrouping (carrying) when needed.
- After finding the sum, we checked if the last digit was odd or even to determine the color.
- Even numbers end in 0, 2, 4, 6, or 8.
- Odd numbers end in 1, 3, 5, 7, or 9.

This activity helps students practice addition with regrouping and reinforces understanding of odd and even numbers through a fun coloring task.

Let me know if you'd like this formatted as a printable answer sheet!