4-Digit Addition without Regrouping worksheet - Free Printable

Problem Description:

The task involves solving 16 addition problems involving 4-digit numbers. The key instruction is to perform addition without regrouping (also known as "without carrying"). This means that the sum of digits in each column (Ones, Tens, Hundreds, Thousands) must not exceed 9.

Solution Approach:

1. Understand the Process:
- Add the numbers starting from the rightmost digit (Ones place) and moving leftward.
- Ensure that the sum of digits in each column does not exceed 9. If it does, the problem cannot be solved without regrouping.

2. Steps to Solve Each Problem:
- Align the numbers by their place values (Thousands, Hundreds, Tens, Ones).
- Add the digits in each column separately.
- Write down the sum for each column, ensuring no column exceeds 9.

3. Check for Validity:
- If any column's sum exceeds 9, the problem cannot be solved without regrouping. In such cases, we will note that the problem is invalid under the given constraints.

Detailed Solutions:

#### Problem 1:
```
2541
+ 5235
------
```
- Ones: \( 1 + 5 = 6 \)
- Tens: \( 4 + 3 = 7 \)
- Hundreds: \( 5 + 2 = 7 \)
- Thousands: \( 2 + 5 = 7 \)

Answer: \( 7776 \)

#### Problem 2:
```
7114
+ 2372
------
```
- Ones: \( 4 + 2 = 6 \)
- Tens: \( 1 + 7 = 8 \)
- Hundreds: \( 1 + 3 = 4 \)
- Thousands: \( 7 + 2 = 9 \)

Answer: \( 9486 \)

#### Problem 3:
```
6280
+ 2704
------
```
- Ones: \( 0 + 4 = 4 \)
- Tens: \( 8 + 0 = 8 \)
- Hundreds: \( 2 + 7 = 9 \)
- Thousands: \( 6 + 2 = 8 \)

Answer: \( 8984 \)

#### Problem 4:
```
2854
+ 4042
------
```
- Ones: \( 4 + 2 = 6 \)
- Tens: \( 5 + 4 = 9 \)
- Hundreds: \( 8 + 0 = 8 \)
- Thousands: \( 2 + 4 = 6 \)

Answer: \( 6896 \)

#### Problem 5:
```
4672
+ 4221
------
```
- Ones: \( 2 + 1 = 3 \)
- Tens: \( 7 + 2 = 9 \)
- Hundreds: \( 6 + 2 = 8 \)
- Thousands: \( 4 + 4 = 8 \)

Answer: \( 8893 \)

#### Problem 6:
```
6091
+ 3604
------
```
- Ones: \( 1 + 4 = 5 \)
- Tens: \( 9 + 0 = 9 \)
- Hundreds: \( 0 + 6 = 6 \)
- Thousands: \( 6 + 3 = 9 \)

Answer: \( 9695 \)

#### Problem 7:
```
4472
+ 5226
------
```
- Ones: \( 2 + 6 = 8 \)
- Tens: \( 7 + 2 = 9 \)
- Hundreds: \( 4 + 2 = 6 \)
- Thousands: \( 4 + 5 = 9 \)

Answer: \( 9698 \)

#### Problem 8:
```
5828
+ 3031
------
```
- Ones: \( 8 + 1 = 9 \)
- Tens: \( 2 + 3 = 5 \)
- Hundreds: \( 8 + 0 = 8 \)
- Thousands: \( 5 + 3 = 8 \)

Answer: \( 8859 \)

#### Problem 9:
```
4482
+ 5502
------
```
- Ones: \( 2 + 2 = 4 \)
- Tens: \( 8 + 0 = 8 \)
- Hundreds: \( 4 + 5 = 9 \)
- Thousands: \( 4 + 5 = 9 \)

Answer: \( 9984 \)

#### Problem 10:
```
7023
+ 1445
------
```
- Ones: \( 3 + 5 = 8 \)
- Tens: \( 2 + 4 = 6 \)
- Hundreds: \( 0 + 4 = 4 \)
- Thousands: \( 7 + 1 = 8 \)

Answer: \( 8468 \)

#### Problem 11:
```
4661
+ 3238
------
```
- Ones: \( 1 + 8 = 9 \)
- Tens: \( 6 + 3 = 9 \)
- Hundreds: \( 6 + 2 = 8 \)
- Thousands: \( 4 + 3 = 7 \)

Answer: \( 7899 \)

#### Problem 12:
```
3668
+ 4131
------
```
- Ones: \( 8 + 1 = 9 \)
- Tens: \( 6 + 3 = 9 \)
- Hundreds: \( 6 + 1 = 7 \)
- Thousands: \( 3 + 4 = 7 \)

Answer: \( 7799 \)

#### Problem 13:
```
7002
+ 2755
------
```
- Ones: \( 2 + 5 = 7 \)
- Tens: \( 0 + 5 = 5 \)
- Hundreds: \( 0 + 7 = 7 \)
- Thousands: \( 7 + 2 = 9 \)

Answer: \( 9757 \)

#### Problem 14:
```
5192
+ 3203
------
```
- Ones: \( 2 + 3 = 5 \)
- Tens: \( 9 + 0 = 9 \)
- Hundreds: \( 1 + 2 = 3 \)
- Thousands: \( 5 + 3 = 8 \)

Answer: \( 8395 \)

#### Problem 15:
```
4927
+ 4031
------
```
- Ones: \( 7 + 1 = 8 \)
- Tens: \( 2 + 3 = 5 \)
- Hundreds: \( 9 + 0 = 9 \)
- Thousands: \( 4 + 4 = 8 \)

Answer: \( 8958 \)

#### Problem 16:
```
7731
+ 2164
------
```
- Ones: \( 1 + 4 = 5 \)
- Tens: \( 3 + 6 = 9 \)
- Hundreds: \( 7 + 1 = 8 \)
- Thousands: \( 7 + 2 = 9 \)

Answer: \( 9895 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 7776 \\
2. & 9486 \\
3. & 8984 \\
4. & 6896 \\
5. & 8893 \\
6. & 9695 \\
7. & 9698 \\
8. & 8859 \\
9. & 9984 \\
10. & 8468 \\
11. & 7899 \\
12. & 7799 \\
13. & 9757 \\
14. & 8395 \\
15. & 8958 \\
16. & 9895 \\
\end{array}
}
\]