2nd Grade Math Worksheets - Place Value - Addition-Regrouping - 3 ... - Free Printable

Let's solve each of the 3-digit addition problems with regrouping step by step. We'll follow the standard algorithm for addition, starting from the ones place, moving to the tens, and then the hundreds, carrying over (regrouping) when necessary.

---

🔹 Problem 1:

```
HUNDREDS TENS ONES
2 2 5
+ 1 6 6
-------------------
```

#### Step-by-step:
- Ones column: 5 + 6 = 11
- Write down 1 in the ones place.
- Carry over 1 to the tens column.
- Tens column: 2 + 6 = 8, plus the carried 1 = 9
- Write 9 in the tens place.
- Hundreds column: 2 + 1 = 3

✔ Answer: 391

---

🔹 Problem 2:

```
HUNDREDS TENS ONES
6 2 7
+ 2 5 4
-------------------
```

- Ones: 7 + 4 = 11
- Write 1, carry 1 to tens.
- Tens: 2 + 5 = 7, plus 1 = 8
- Hundreds: 6 + 2 = 8

✔ Answer: 881

---

🔹 Problem 3:

```
HUNDREDS TENS ONES
7 2 8
+ 8 2 2
-------------------
```

- Ones: 8 + 2 = 10
- Write 0, carry 1 to tens.
- Tens: 2 + 2 = 4, plus 1 = 5
- Hundreds: 7 + 8 = 15

✔ Answer: 1550

Wait — let's double-check that!
We have:
- Hundreds: 7 + 8 = 15 → write 5, carry 1 to thousands.
- But since we’re only dealing with 3-digit numbers, the sum is 1550, which is a 4-digit number.

But looking at the format, the answer box has only three columns. So we need to represent it properly:

Actually, the sum is:
- Ones: 8 + 2 = 10 → write 0, carry 1
- Tens: 2 + 2 = 4 + 1 = 5
- Hundreds: 7 + 8 = 15 → write 5, carry 1 to thousands

So final answer is 1550, but the grid only has space for 3 digits. That’s okay — the thousands digit goes outside.

But in this worksheet, they probably expect you to fill in the boxes as:

```
HUNDREDS | TENS | ONES
1 | 5 | 0
```

But wait — the hundreds column is already labeled "HUNDREDS", so if the total is 1550, then:

- Thousands: 1
- Hundreds: 5
- Tens: 5
- Ones: 0

But the grid doesn’t have a thousands column. So likely, the problem expects us to write the full sum, even if it exceeds 3 digits.

But since the grid has only 3 columns, we can assume:

- The top row is for the addends
- The bottom row is for the sum

So we’ll write:

- Ones: 0
- Tens: 5
- Hundreds: 5
- And there’s a carry-over to thousands: 1

But since no thousands box exists, we just write 1550 as the result.

But in the grid, only three boxes are available. So perhaps the answer is meant to be written in the bottom row as:

```
HUNDREDS: 5, TENS: 5, ONES: 0
```

But that would be 550, which is wrong.

Ah — mistake! Let's recheck:

Wait — the numbers are:

- First number: 728
- Second number: 822

Add them:

```
728
+ 822
-----
1550
```

Yes, correct.

So the sum is 1550, which means:

- Thousands: 1
- Hundreds: 5
- Tens: 5
- Ones: 0

But the worksheet only has 3-digit columns. So we must interpret that the bottom row is for the sum, and we can write the digits accordingly, even if it results in a 4-digit number.

But since there’s no fourth column, maybe the student should write the sum as 1550, or possibly the problem assumes no carry beyond hundreds? But clearly, 728 + 822 = 1550.

So in the grid, we can write:

- Ones: 0
- Tens: 5
- Hundreds: 5

And note that there is a 1 carried into the thousands place (but not shown).

But since the worksheet doesn't provide space for thousands, we will assume the student writes the full sum.

But in the context of this worksheet, the answer should be filled in the bottom row of each box, using the columns provided.

So for this one, the sum is 1550, so:

- Hundreds: 5
- Tens: 5
- Ones: 0

But that gives 550, which is incorrect.

Wait — unless I misread the numbers.

Let me double-check the numbers:

Looking back at the image:

Third problem:
```
HUNDREDS TENS ONES
7 2 8
+ 8 2 2
```

Yes: 728 + 822 = ?

Let’s compute:

728
+822
=?

8 + 2 = 10 → write 0, carry 1
2 + 2 = 4 + 1 = 5
7 + 8 = 15 → write 5, carry 1 → total: 1550

So the correct sum is 1550, which is four digits.

But the grid only has three columns. So either:
- There’s a typo, or
- The student is expected to write the digits in the available boxes, and understand that the thousands digit is extra.

But in such worksheets, sometimes the sum may exceed 999, so the teacher might accept writing 1550 as the answer, even if the grid is limited.

Alternatively, perhaps the numbers were meant to be smaller.

Wait — let’s check all problems carefully.

---

🔹 Problem 4:

```
HUNDREDS TENS ONES
3 2 9
+ 2 4 6
-------------------
```

- Ones: 9 + 6 = 15 → write 5, carry 1
- Tens: 2 + 4 = 6 + 1 = 7
- Hundreds: 3 + 2 = 5

✔ Answer: 575

---

🔹 Problem 5:

```
HUNDREDS TENS ONES
4 1 7
+ 1 2 5
-------------------
```

- Ones: 7 + 5 = 12 → write 2, carry 1
- Tens: 1 + 2 = 3 + 1 = 4
- Hundreds: 4 + 1 = 5

✔ Answer: 542

---

🔹 Problem 6:

```
HUNDREDS TENS ONES
5 0 8
+ 2 2 4
-------------------
```

- Ones: 8 + 4 = 12 → write 2, carry 1
- Tens: 0 + 2 = 2 + 1 = 3
- Hundreds: 5 + 2 = 7

✔ Answer: 732

---

Now, going back to Problem 3: 728 + 822 = 1550

This is correct, but it's a 4-digit number.

In most elementary math worksheets, if the sum exceeds 999, it’s acceptable to write the full number, even if it extends beyond the grid.

But since the grid only has three columns, and the directions say “solve each addition problem using the regrouping strategy,” we can assume the student should show the work in the columns.

So for Problem 3, the bottom row would be:

- Hundreds: 5
- Tens: 5
- Ones: 0

And implicitly, there is a 1 in the thousands place.

But since the worksheet doesn’t include a thousands column, it’s possible that the intended answer is 1550, and the student writes it below.

Alternatively, maybe the numbers were meant to be different.

Wait — let me check again: is the second number really 822?

Looking at the image:

It says:
```
7 2 8
+ 8 2 2
```

Yes.

So 728 + 822 = 1550 — confirmed.

So we proceed.

---

## ✔ Final Answers:

| Problem | Addends | Sum |
|--------|--------|-----|
| 1 | 225 + 166 | 391 |
| 2 | 627 + 254 | 881 |
| 3 | 728 + 822 | 1550 |
| 4 | 329 + 246 | 575 |
| 5 | 417 + 125 | 542 |
| 6 | 508 + 224 | 732 |

---

## ✔ Filled-in Worksheet (with answers):

Problem 1:

```
HUNDREDS TENS ONES
2 2 5
+ 1 6 6
-------------------
3 9 1
```

Problem 2:

```
HUNDREDS TENS ONES
6 2 7
+ 2 5 4
-------------------
8 8 1
```

Problem 3:

```
HUNDREDS TENS ONES
7 2 8
+ 8 2 2
-------------------
5 5 0
```
> Note: The actual sum is 1550, so the thousands digit (1) is implied but not shown.

Problem 4:

```
HUNDREDS TENS ONES
3 2 9
+ 2 4 6
-------------------
5 7 5
```

Problem 5:

```
HUNDREDS TENS ONES
4 1 7
+ 1 2 5
-------------------
5 4 2
```

Problem 6:

```
HUNDREDS TENS ONES
5 0 8
+ 2 2 4
-------------------
7 3 2
```

---

## ✔ Summary of Answers:
1. 391
2. 881
3. 1550 (written as 550 in the grid, with 1 carried to thousands)
4. 575
5. 542
6. 732

---

## 📝 Explanation of Regrouping Strategy:

Regrouping (or carrying) happens when the sum of digits in a column is 10 or more.

For example, in 225 + 166:

- Ones: 5 + 6 = 11 → write 1, carry 1 to tens.
- Tens: 2 + 6 = 8 + 1 = 9 → write 9
- Hundreds: 2 + 1 = 3 → write 3

So the total is 391.

This method applies to all problems.

---

Let me know if you'd like a printable version with answers filled in!