2nd Grade Math Worksheets - Place Value - Addition-Regrouping - 3 ... - Free Printable
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Step-by-step solution for: 2nd Grade Math Worksheets - Place Value - Addition-Regrouping - 3 ...
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Show Answer Key & Explanations
Step-by-step solution for: 2nd Grade Math Worksheets - Place Value - Addition-Regrouping - 3 ...
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.
---
```
HUNDREDS TENS ONES
2 2 5
+1 6 6
---------------
```
Step 1: Add the ones column
- 5 + 6 = 11 → Write down 1 in the ones place, carry 1 to the tens.
Step 2: Add the tens column
- 2 + 6 = 8, plus the carried 1 = 9
Step 3: Add the hundreds column
- 2 + 1 = 3
✔ Final answer: 391
---
```
HUNDREDS TENS ONES
6 2 7
+2 5 4
---------------
```
Step 1: Add the ones
- 7 + 4 = 11 → Write 1, carry 1
Step 2: Add the tens
- 2 + 5 = 7, plus carry = 8
Step 3: Add the hundreds
- 6 + 2 = 8
✔ Final answer: 881
---
```
HUNDREDS TENS ONES
7 2 8
+8 2 2
---------------
```
Step 1: Add the ones
- 8 + 2 = 10 → Write 0, carry 1
Step 2: Add the tens
- 2 + 2 = 4, plus carry = 5
Step 3: Add the hundreds
- 7 + 8 = 15
✔ Final answer: 1550
Wait! That can't be right — let's double-check:
Actually:
- Hundreds: 7 + 8 = 15 → So write 5 in hundreds, carry 1 to thousands.
So final result is 1550? But we only have three digits. Wait — yes, it’s a four-digit number.
But the grid only has three columns. So we need to write the answer properly.
Let’s write it out:
```
728
+ 822
-----
```
- Ones: 8 + 2 = 10 → write 0, carry 1
- Tens: 2 + 2 = 4 + 1 = 5
- Hundreds: 7 + 8 = 15 → write 5, carry 1
So total: 1550
But since the grid only has 3 boxes, you'd write:
- Hundreds: 5
- Tens: 5
- Ones: 0
And carry-over goes above or outside.
But actually, 1550 is correct.
✔ Final answer: 1550
But since the worksheet may expect just the sum, we’ll write it as 1550.
---
```
HUNDREDS TENS ONES
3 2 9
+2 4 6
---------------
```
Step 1: Add ones
- 9 + 6 = 15 → write 5, carry 1
Step 2: Add tens
- 2 + 4 = 6 + 1 = 7
Step 3: Add hundreds
- 3 + 2 = 5
✔ Final answer: 575
---
```
HUNDREDS TENS ONES
4 1 7
+1 2 5
---------------
```
Step 1: Ones
- 7 + 5 = 12 → write 2, carry 1
Step 2: Tens
- 1 + 2 = 3 + 1 = 4
Step 3: Hundreds
- 4 + 1 = 5
✔ Final answer: 542
---
```
HUNDREDS TENS ONES
5 0 8
+2 4 4
---------------
```
Step 1: Ones
- 8 + 4 = 12 → write 2, carry 1
Step 2: Tens
- 0 + 4 = 4 + 1 = 5
Step 3: Hundreds
- 5 + 2 = 7
✔ Final answer: 752
---
## ✔ Final Answers:
| Problem | Addition | Answer |
|--------|---------|--------|
| 1 | 225 + 166 | 391 |
| 2 | 627 + 254 | 881 |
| 3 | 728 + 822 | 1550 |
| 4 | 329 + 246 | 575 |
| 5 | 417 + 125 | 542 |
| 6 | 508 + 244 | 752 |
---
For each problem, fill in the blanks in the TENS and HUNDREDS places where needed. The ONES are already given.
For example, in Problem 1:
- You’d write:
- Hundreds: 3
- Tens: 9
- Ones: 1
- And possibly mark the carry-over (like 1 above the tens column).
Since the worksheet uses a table format, here's how to fill them:
#### Problem 1:
```
HUNDREDS | TENS | ONES
2 | 2 | 5
1 | 6 | 6
----- | ---- | ----
3 | 9 | 1
```
Similarly for others.
---
All problems solved using regrouping (carrying) strategy.
Final answers:
1. 391
2. 881
3. 1550
4. 575
5. 542
6. 752
Let me know if you want a printable version or explanation with visual carry-over arrows!
---
🔹 Problem 1:
```
HUNDREDS TENS ONES
2 2 5
+1 6 6
---------------
```
Step 1: Add the ones column
- 5 + 6 = 11 → Write down 1 in the ones place, carry 1 to the tens.
Step 2: Add the tens column
- 2 + 6 = 8, plus the carried 1 = 9
Step 3: Add the hundreds column
- 2 + 1 = 3
✔ Final answer: 391
---
🔹 Problem 2:
```
HUNDREDS TENS ONES
6 2 7
+2 5 4
---------------
```
Step 1: Add the ones
- 7 + 4 = 11 → Write 1, carry 1
Step 2: Add the tens
- 2 + 5 = 7, plus carry = 8
Step 3: Add the hundreds
- 6 + 2 = 8
✔ Final answer: 881
---
🔹 Problem 3:
```
HUNDREDS TENS ONES
7 2 8
+8 2 2
---------------
```
Step 1: Add the ones
- 8 + 2 = 10 → Write 0, carry 1
Step 2: Add the tens
- 2 + 2 = 4, plus carry = 5
Step 3: Add the hundreds
- 7 + 8 = 15
✔ Final answer: 1550
Wait! That can't be right — let's double-check:
Actually:
- Hundreds: 7 + 8 = 15 → So write 5 in hundreds, carry 1 to thousands.
So final result is 1550? But we only have three digits. Wait — yes, it’s a four-digit number.
But the grid only has three columns. So we need to write the answer properly.
Let’s write it out:
```
728
+ 822
-----
```
- Ones: 8 + 2 = 10 → write 0, carry 1
- Tens: 2 + 2 = 4 + 1 = 5
- Hundreds: 7 + 8 = 15 → write 5, carry 1
So total: 1550
But since the grid only has 3 boxes, you'd write:
- Hundreds: 5
- Tens: 5
- Ones: 0
And carry-over goes above or outside.
But actually, 1550 is correct.
✔ Final answer: 1550
But since the worksheet may expect just the sum, we’ll write it as 1550.
---
🔹 Problem 4:
```
HUNDREDS TENS ONES
3 2 9
+2 4 6
---------------
```
Step 1: Add ones
- 9 + 6 = 15 → write 5, carry 1
Step 2: Add tens
- 2 + 4 = 6 + 1 = 7
Step 3: Add hundreds
- 3 + 2 = 5
✔ Final answer: 575
---
🔹 Problem 5:
```
HUNDREDS TENS ONES
4 1 7
+1 2 5
---------------
```
Step 1: Ones
- 7 + 5 = 12 → write 2, carry 1
Step 2: Tens
- 1 + 2 = 3 + 1 = 4
Step 3: Hundreds
- 4 + 1 = 5
✔ Final answer: 542
---
🔹 Problem 6:
```
HUNDREDS TENS ONES
5 0 8
+2 4 4
---------------
```
Step 1: Ones
- 8 + 4 = 12 → write 2, carry 1
Step 2: Tens
- 0 + 4 = 4 + 1 = 5
Step 3: Hundreds
- 5 + 2 = 7
✔ Final answer: 752
---
## ✔ Final Answers:
| Problem | Addition | Answer |
|--------|---------|--------|
| 1 | 225 + 166 | 391 |
| 2 | 627 + 254 | 881 |
| 3 | 728 + 822 | 1550 |
| 4 | 329 + 246 | 575 |
| 5 | 417 + 125 | 542 |
| 6 | 508 + 244 | 752 |
---
📝 How to Fill the Grids:
For each problem, fill in the blanks in the TENS and HUNDREDS places where needed. The ONES are already given.
For example, in Problem 1:
- You’d write:
- Hundreds: 3
- Tens: 9
- Ones: 1
- And possibly mark the carry-over (like 1 above the tens column).
Since the worksheet uses a table format, here's how to fill them:
#### Problem 1:
```
HUNDREDS | TENS | ONES
2 | 2 | 5
1 | 6 | 6
----- | ---- | ----
3 | 9 | 1
```
Similarly for others.
---
✔ Summary:
All problems solved using regrouping (carrying) strategy.
Final answers:
1. 391
2. 881
3. 1550
4. 575
5. 542
6. 752
Let me know if you want a printable version or explanation with visual carry-over arrows!
Parent Tip: Review the logic above to help your child master the concept of addition worksheet regrouping 3.