Free 3 Digit Addition with Regrouping - Free Worksheets ... - Free Printable

Problem Description:

The task involves solving addition problems with regrouping (carrying over). Each row contains four addition problems, and we need to find the sum for each pair of numbers.

Solution:

#### Row 1:
1. 126 + 246
- Add the units place: \(6 + 6 = 12\). Write down 2 and carry over 1.
- Add the tens place: \(2 + 4 + 1\) (carry) = 7.
- Add the hundreds place: \(1 + 2 = 3\).
- Sum: 372

2. 295 + 127
- Add the units place: \(5 + 7 = 12\). Write down 2 and carry over 1.
- Add the tens place: \(9 + 2 + 1\) (carry) = 12. Write down 2 and carry over 1.
- Add the hundreds place: \(2 + 1 + 1\) (carry) = 4.
- Sum: 422

3. 449 + 363
- Add the units place: \(9 + 3 = 12\). Write down 2 and carry over 1.
- Add the tens place: \(4 + 6 + 1\) (carry) = 11. Write down 1 and carry over 1.
- Add the hundreds place: \(4 + 3 + 1\) (carry) = 8.
- Sum: 812

4. 128 + 194
- Add the units place: \(8 + 4 = 12\). Write down 2 and carry over 1.
- Add the tens place: \(2 + 9 + 1\) (carry) = 12. Write down 2 and carry over 1.
- Add the hundreds place: \(1 + 1 + 1\) (carry) = 3.
- Sum: 322

#### Row 2:
1. 434 + 298
- Add the units place: \(4 + 8 = 12\). Write down 2 and carry over 1.
- Add the tens place: \(3 + 9 + 1\) (carry) = 13. Write down 3 and carry over 1.
- Add the hundreds place: \(4 + 2 + 1\) (carry) = 7.
- Sum: 732

2. 212 + 419
- Add the units place: \(2 + 9 = 11\). Write down 1 and carry over 1.
- Add the tens place: \(1 + 1 + 1\) (carry) = 3.
- Add the hundreds place: \(2 + 4 = 6\).
- Sum: 631

3. 627 + 227
- Add the units place: \(7 + 7 = 14\). Write down 4 and carry over 1.
- Add the tens place: \(2 + 2 + 1\) (carry) = 5.
- Add the hundreds place: \(6 + 2 = 8\).
- Sum: 854

4. 454 + 757
- Add the units place: \(4 + 7 = 11\). Write down 1 and carry over 1.
- Add the tens place: \(5 + 5 + 1\) (carry) = 11. Write down 1 and carry over 1.
- Add the hundreds place: \(4 + 7 + 1\) (carry) = 12. Write down 2 and carry over 1.
- Add the thousands place: \(1\) (carry) = 1.
- Sum: 1211

#### Row 3:
1. 257 + 647
- Add the units place: \(7 + 7 = 14\). Write down 4 and carry over 1.
- Add the tens place: \(5 + 4 + 1\) (carry) = 10. Write down 0 and carry over 1.
- Add the hundreds place: \(2 + 6 + 1\) (carry) = 9.
- Sum: 904

2. 309 + 495
- Add the units place: \(9 + 5 = 14\). Write down 4 and carry over 1.
- Add the tens place: \(0 + 9 + 1\) (carry) = 10. Write down 0 and carry over 1.
- Add the hundreds place: \(3 + 4 + 1\) (carry) = 8.
- Sum: 804

3. 583 + 448
- Add the units place: \(3 + 8 = 11\). Write down 1 and carry over 1.
- Add the tens place: \(8 + 4 + 1\) (carry) = 13. Write down 3 and carry over 1.
- Add the hundreds place: \(5 + 4 + 1\) (carry) = 10. Write down 0 and carry over 1.
- Add the thousands place: \(1\) (carry) = 1.
- Sum: 1031

4. 556 + 554
- Add the units place: \(6 + 4 = 10\). Write down 0 and carry over 1.
- Add the tens place: \(5 + 5 + 1\) (carry) = 11. Write down 1 and carry over 1.
- Add the hundreds place: \(5 + 5 + 1\) (carry) = 11. Write down 1 and carry over 1.
- Add the thousands place: \(1\) (carry) = 1.
- Sum: 1110

#### Row 4:
1. 284 + 137
- Add the units place: \(4 + 7 = 11\). Write down 1 and carry over 1.
- Add the tens place: \(8 + 3 + 1\) (carry) = 12. Write down 2 and carry over 1.
- Add the hundreds place: \(2 + 1 + 1\) (carry) = 4.
- Sum: 421

2. 568 + 132
- Add the units place: \(8 + 2 = 10\). Write down 0 and carry over 1.
- Add the tens place: \(6 + 3 + 1\) (carry) = 10. Write down 0 and carry over 1.
- Add the hundreds place: \(5 + 1 + 1\) (carry) = 7.
- Sum: 700

3. 352 + 469
- Add the units place: \(2 + 9 = 11\). Write down 1 and carry over 1.
- Add the tens place: \(5 + 6 + 1\) (carry) = 12. Write down 2 and carry over 1.
- Add the hundreds place: \(3 + 4 + 1\) (carry) = 8.
- Sum: 821

4. 135 + 175
- Add the units place: \(5 + 5 = 10\). Write down 0 and carry over 1.
- Add the tens place: \(3 + 7 + 1\) (carry) = 11. Write down 1 and carry over 1.
- Add the hundreds place: \(1 + 1 + 1\) (carry) = 3.
- Sum: 310

Final Answer:

\[
\boxed{
\begin{array}{cccc}
372 & 422 & 812 & 322 \\
732 & 631 & 854 & 1211 \\
904 & 804 & 1031 & 1110 \\
421 & 700 & 821 & 310 \\
\end{array}
}
\]