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Printable worksheet for practicing addition of 4-digit numbers without regrouping, including a learning objective and a green "ink saving Eco" label.

Worksheet titled "Adding 4-digit Numbers With No Regrouping" featuring 12 math problems with grid boxes for solving addition problems.

Worksheet titled "Adding 4-digit Numbers With No Regrouping" featuring 12 math problems with grid boxes for solving addition problems.

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ID: #383618
Show Answer Key & Explanations Step-by-step solution for: 2-Digit Addition on Squared Paper Worksheet (teacher made)
Let's solve the problem shown in the image: Adding 4-digit numbers with no regrouping.

This means we will add two 4-digit numbers together, column by column (ones, tens, hundreds, thousands), and no digit sum in any column will exceed 9, so there is no carrying over (regrouping).

---

🔢 Let’s go through each problem step-by-step:



We’ll add the numbers column by column from right to left (ones → tens → hundreds → thousands).

---

#### 1. 2541 + 5235

```
2 5 4 1
+ 5 2 3 5
---------
```

- Ones: 1 + 5 = 6
- Tens: 4 + 3 = 7
- Hundreds: 5 + 2 = 7
- Thousands: 2 + 5 = 7

Answer: 7776

---

#### 2. 7114 + 2372

```
7 1 1 4
+ 2 3 7 2
---------
```

- Ones: 4 + 2 = 6
- Tens: 1 + 7 = 8
- Hundreds: 1 + 3 = 4
- Thousands: 7 + 2 = 9

Answer: 9486

---

#### 3. 6280 + 2704

```
6 2 8 0
+ 2 7 0 4
---------
```

- Ones: 0 + 4 = 4
- Tens: 8 + 0 = 8
- Hundreds: 2 + 7 = 9
- Thousands: 6 + 2 = 8

Answer: 8984

---

#### 4. 7854 + 4042

```
7 8 5 4
+ 4 0 4 2
---------
```

- Ones: 4 + 2 = 6
- Tens: 5 + 4 = 9
- Hundreds: 8 + 0 = 8
- Thousands: 7 + 4 = 11 ← Wait! This is 11, which requires regrouping!

But the title says "No Regrouping", so this might be a mistake or exception.

Wait — let’s double-check:
7 + 4 = 11 → That does require regrouping, so maybe this one is not meant to be included?

But the instruction says "with no regrouping", so perhaps all problems are designed so that no column exceeds 9.

Let’s check again:

- Thousands: 7 + 4 = 11 → Regrouping needed

So this problem violates the "no regrouping" rule.

But since it's on the worksheet, perhaps we still need to solve it anyway? Or maybe it's a typo?

Let’s assume we’re just solving as-is, even if regrouping is needed.

But the goal is no regrouping, so likely this problem is invalid for the exercise.

But let’s proceed carefully.

Wait — maybe I misread.

Let’s look at the actual numbers:

7854 + 4042

- 7 + 4 = 11 → yes, needs regrouping → not allowed under "no regrouping"

So either:
- The problem is incorrect, or
- We're supposed to skip it?

But since it's listed, let's assume it's valid and solve it anyway.

But the instruction says "no regrouping", so likely the worksheet assumes all additions are possible without carrying.

Let’s continue and see.

But wait — let’s check all problems to verify.

---

#### 5. 4672 + 4221

```
4 6 7 2
+ 4 2 2 1
---------
```

- Ones: 2 + 1 = 3
- Tens: 7 + 2 = 9
- Hundreds: 6 + 2 = 8
- Thousands: 4 + 4 = 8

Answer: 8893 → No regrouping needed.

---

#### 6. 6091 + 3604

```
6 0 9 1
+ 3 6 0 4
---------
```

- Ones: 1 + 4 = 5
- Tens: 9 + 0 = 9
- Hundreds: 0 + 6 = 6
- Thousands: 6 + 3 = 9

Answer: 9695

---

#### 7. 4472 + 5226

```
4 4 7 2
+ 5 2 2 6
---------
```

- Ones: 2 + 6 = 8
- Tens: 7 + 2 = 9
- Hundreds: 4 + 2 = 6
- Thousands: 4 + 5 = 9

Answer: 9698

---

#### 8. 5828 + 3031

```
5 8 2 8
+ 3 0 3 1
---------
```

- Ones: 8 + 1 = 9
- Tens: 2 + 3 = 5
- Hundreds: 8 + 0 = 8
- Thousands: 5 + 3 = 8

Answer: 8859

---

#### 9. 4482 + 5502

```
4 4 8 2
+ 5 5 0 2
---------
```

- Ones: 2 + 2 = 4
- Tens: 8 + 0 = 8
- Hundreds: 4 + 5 = 9
- Thousands: 4 + 5 = 9

Answer: 9984

---

#### 10. 7023 + 1445

```
7 0 2 3
+ 1 4 4 5
---------
```

- Ones: 3 + 5 = 8
- Tens: 2 + 4 = 6
- Hundreds: 0 + 4 = 4
- Thousands: 7 + 1 = 8

Answer: 8468

---

#### 11. 4661 + 32? ← Wait, second number is incomplete.

Look: `4 6 6 1`
`+ 3 2 _ _` ← Only two digits shown.

Wait — the second number is written as:

```
4 6 6 1
+ 3 2
-------
```

That can’t be right. It should be a 4-digit number.

Wait — looking closely at the image:

It shows:

```
4 6 6 1
+ 3 2
------
```

But that’s only 2 digits. Likely a formatting issue.

But in the image, it appears like:

> 11. 4661 + 32

But that would be adding a 4-digit and a 2-digit number.

Possibly a typo.

Wait — perhaps it's 4661 + 3200? But that’s not stated.

Alternatively, maybe it's 4661 + 32 → then answer is 4693.

But that doesn't fit the pattern.

Looking back at the image: the second number has only two boxes: 3 and 2.

So likely, it's meant to be 4661 + 32, but that’s inconsistent.

Alternatively, maybe it's 4661 + 32 → but then it's not a 4-digit addition.

Wait — perhaps it's 4661 + 3200? But that would be 7861.

But the box only shows 3 and 2.

Hmm.

Wait — perhaps the number is 4661 + 32 → but then we must align right:

```
4661
+ 32
------
```

Then:

- Ones: 1 + 2 = 3
- Tens: 6 + 3 = 9
- Hundreds: 6 + 0 = 6
- Thousands: 4 + 0 = 4

4693

But that’s not a 4-digit plus 4-digit.

So likely, this is an error in the worksheet.

But let’s assume it’s 4661 + 32Answer: 4693

But it doesn’t match the theme.

Wait — maybe it's 4661 + 3200? Then:

- 4661 + 3200 = 7861

But the box only shows 3 and 2.

Alternatively, maybe it's 4661 + 32 and they want you to write it as:

```
4661
+ 32
------
4693
```

But again, not 4-digit + 4-digit.

So likely, this is a mistake in the worksheet.

But let’s move on.

---

#### 12. 3661 + ? ← Again, only one number shown.

Wait — look at the last one:

```
3 6 6 1
+ ?
------
```

Only one number is visible.

Wait — in the image, the last problem is:

```
3 6 6 1
+ ?
------
```

And the second number is missing.

Wait — no, looking closely:

The last problem is:

```
3 6 6 1
+ ?
------
```

But the second number is not filled in — probably a typo.

Wait — actually, in the image, it says:

> 12. 3 6 6 1 + ?

But no second number.

Wait — perhaps it's 3661 + 32? But that doesn’t make sense.

Wait — maybe it’s 3661 + 3200? But again, not clear.

Wait — looking at the original image: the last problem has:

```
3 6 6 1
+ ?
------
```

But the second number is missing — possibly due to cropping or printing error.

But in the left side of the image, there’s a challenge section with:

```
1 4 1 6
+ 2 4 3
-------
1 6 5 9
```

Wait — that’s not 4-digit + 4-digit.

And another:

```
1 3 4 5
+ 3 4 1
-------
1 6 8 6
```

Again, 4-digit + 3-digit.

So perhaps the challenge is separate.

But back to the main sheet.

Let’s recheck problem 11 and 12.

From the image:

- Problem 11:
```
4 6 6 1
+ 3 2
-------
```

→ Only two digits. So likely, it's 4661 + 324693

- Problem 12:
```
3 6 6 1
+ ?
-------
```

→ Second number missing.

But in the original image, the last problem is:

> 12. 3 6 6 1 + [empty]

But perhaps it’s 3661 + 32? Or 3661 + 3200?

Wait — maybe it's 3661 + 32 → 3693

But again, inconsistent.

Alternatively, maybe it's 3661 + 3200 = 6861

But without the full number, we can’t solve.

Wait — perhaps the second number is 32, and we write it as:

```
3661
+ 32
-----
3693
```

But that’s not 4-digit + 4-digit.

So likely, there is a formatting error in the worksheet.

But let’s focus on the ones that are complete and correct.

---

Corrected List of Problems (Assuming No Regrouping):



Let’s list all valid problems where both numbers are 4-digit and no column sum > 9.

| # | Problem | Sum |
|---|--------|-----|
| 1 | 2541 + 5235 | 7776 |
| 2 | 7114 + 2372 | 9486 |
| 3 | 6280 + 2704 | 8984 |
| 4 | 7854 + 4042 | 11896 ← Regrouping needed (7+4=11) |
| 5 | 4672 + 4221 | 8893 |
| 6 | 6091 + 3604 | 9695 |
| 7 | 4472 + 5226 | 9698 |
| 8 | 5828 + 3031 | 8859 |
| 9 | 4482 + 5502 | 9984 |
|10 | 7023 + 1445 | 8468 |
|11 | 4661 + 32 → Invalid |
|12 | 3661 + ? → Missing |

---

🚫 Problem 4: 7854 + 4042



- Thousands: 7 + 4 = 11 → Regrouping required → violates "no regrouping"

So this problem should not be included in a "no regrouping" exercise.

Likely a mistake.

---

Final Answers (for valid problems):



1. 7776
2. 9486
3. 8984
4. Not valid (needs regrouping)
5. 8893
6. 9695
7. 9698
8. 8859
9. 9984
10. 8468
11. Incomplete
12. Incomplete

---

💡 Explanation:



When adding 4-digit numbers without regrouping, we ensure that:
- Each digit sum in the same place value (ones, tens, etc.) is less than 10.
- So we don’t carry over to the next column.
- Add column by column from right to left.

For example:
```
2541
+ 5235
------
7776
```
- 1+5=6, 4+3=7, 5+2=7, 2+5=7 → All < 10 → no regrouping.

But in 7854 + 4042, 7+4=11 → needs regrouping → invalid for this exercise.

---

Conclusion:



The correct answers for the valid problems (1–10, excluding 4 and 11–12 due to errors) are:

1. 7776
2. 9486
3. 8984
5. 8893
6. 9695
7. 9698
8. 8859
9. 9984
10. 8468

Problems 4, 11, and 12 have issues:
- Problem 4: Needs regrouping.
- Problems 11 & 12: Incomplete or incorrectly formatted.

---

If you'd like, I can help you create a corrected version of the worksheet with proper 4-digit + 4-digit sums with no regrouping.
Parent Tip: Review the logic above to help your child master the concept of column addition worksheet on squared paper.
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