Add 3-Digit and 2-Digit Numbers with Regrouping: Vertical Addition ... - Free Printable

Let's solve each addition problem on the worksheet step by step, focusing on adding 3-digit and 2-digit numbers with regrouping.

We'll go through each box one at a time:

---

1. 23 + 138

```
23
+138
----
161
```
- Add ones: 3 + 8 = 11 → write 1, carry 1
- Add tens: 2 + 3 + 1 (carry) = 6
- Add hundreds: 1
→ 161

---

2. 55 + 215

```
55
+215
----
270
```
- Ones: 5 + 5 = 10 → write 0, carry 1
- Tens: 5 + 1 + 1 = 7
- Hundreds: 2
→ 270

---

3. 15 + 329

```
15
+329
----
344
```
- Ones: 5 + 9 = 14 → write 4, carry 1
- Tens: 1 + 2 + 1 = 4
- Hundreds: 3
→ 344

---

4. 717 + 14

```
717
+ 14
----
731
```
- Ones: 7 + 4 = 11 → write 1, carry 1
- Tens: 1 + 1 + 1 = 3
- Hundreds: 7
→ 731

---

5. 63 + 765

```
63
+765
----
828
```
- Ones: 3 + 5 = 8
- Tens: 6 + 6 = 12 → write 2, carry 1
- Hundreds: 7 + 1 = 8
→ 828

---

6. 217 + 85

```
217
+ 85
----
302
```
- Ones: 7 + 5 = 12 → write 2, carry 1
- Tens: 1 + 8 + 1 = 10 → write 0, carry 1
- Hundreds: 2 + 1 = 3
→ 302

---

7. 414 + 58

```
414
+ 58
----
472
```
- Ones: 4 + 8 = 12 → write 2, carry 1
- Tens: 1 + 5 + 1 = 7
- Hundreds: 4
→ 472

---

8. 75 + 194

```
75
+194
----
269
```
- Ones: 5 + 4 = 9
- Tens: 7 + 9 = 16 → write 6, carry 1
- Hundreds: 1 + 1 = 2
→ 269

---

9. 786 + 23

```
786
+ 23
----
809
```
- Ones: 6 + 3 = 9
- Tens: 8 + 2 = 10 → write 0, carry 1
- Hundreds: 7 + 1 = 8
→ 809

---

10. 791 + 54

```
791
+ 54
----
845
```
- Ones: 1 + 4 = 5
- Tens: 9 + 5 = 14 → write 4, carry 1
- Hundreds: 7 + 1 = 8
→ 845

---

11. 84 + 792

```
84
+792
----
876
```
- Ones: 4 + 2 = 6
- Tens: 8 + 9 = 17 → write 7, carry 1
- Hundreds: 7 + 1 = 8
→ 876

---

12. 572 + 36

```
572
+ 36
----
608
```
- Ones: 2 + 6 = 8
- Tens: 7 + 3 = 10 → write 0, carry 1
- Hundreds: 5 + 1 = 6
→ 608

---

13. 598 + 26

```
598
+ 26
----
624
```
- Ones: 8 + 6 = 14 → write 4, carry 1
- Tens: 9 + 2 + 1 = 12 → write 2, carry 1
- Hundreds: 5 + 1 = 6
→ 624

---

14. 199 + 64

```
199
+ 64
----
263
```
- Ones: 9 + 4 = 13 → write 3, carry 1
- Tens: 9 + 6 + 1 = 16 → write 6, carry 1
- Hundreds: 1 + 1 = 2
→ 263

---

15. 129 + 78

```
129
+ 78
----
207
```
- Ones: 9 + 8 = 17 → write 7, carry 1
- Tens: 2 + 7 + 1 = 10 → write 0, carry 1
- Hundreds: 1 + 1 = 2
→ 207

---

16. 55 + 769

```
55
+769
----
824
```
- Ones: 5 + 9 = 14 → write 4, carry 1
- Tens: 5 + 6 + 1 = 12 → write 2, carry 1
- Hundreds: 7 + 1 = 8
→ 824

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 23 + 138 | 161 |
| 55 + 215 | 270 |
| 15 + 329 | 344 |
| 717 + 14 | 731 |
| 63 + 765 | 828 |
| 217 + 85 | 302 |
| 414 + 58 | 472 |
| 75 + 194 | 269 |
| 786 + 23 | 809 |
| 791 + 54 | 845 |
| 84 + 792 | 876 |
| 572 + 36 | 608 |
| 598 + 26 | 624 |
| 199 + 64 | 263 |
| 129 + 78 | 207 |
| 55 + 769 | 824 |

---

🎯 Key Concept: Regrouping (Carrying)

When adding digits in any column (ones, tens, hundreds), if the sum is 10 or more, we regroup:
- Write the ones digit of the sum in that place.
- Carry the tens digit to the next higher place value.

This process ensures correct addition even when sums exceed single digits.

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