3-Digit Addition Worksheets -Worksheets Library - Free Printable

Problem Description:

The task involves solving a series of 3-digit addition problems with regrouping. Each problem requires adding two 3-digit numbers, and some will involve carrying over digits (regrouping) from one column to the next.

Solution Approach:

1. Understand Regrouping: When the sum of digits in any column exceeds 9, we carry over the extra digit to the next higher place value.
2. Step-by-Step Addition:
- Start by adding the digits in the ones place.
- Move to the tens place, including any carry-over from the ones place.
- Finally, add the digits in the hundreds place, including any carry-over from the tens place.
3. Repeat for All Problems: Apply this process to each of the 30 addition problems.

Detailed Solutions:

#### Problem 1: \( 396 + 183 \)
\[
\begin{array}{r}
396 \\
+ 183 \\
\hline
579 \\
\end{array}
\]
- Ones: \( 6 + 3 = 9 \)
- Tens: \( 9 + 8 = 17 \) (write 7, carry 1)
- Hundreds: \( 3 + 1 + 1 = 5 \)

#### Problem 2: \( 704 + 289 \)
\[
\begin{array}{r}
704 \\
+ 289 \\
\hline
993 \\
\end{array}
\]
- Ones: \( 4 + 9 = 13 \) (write 3, carry 1)
- Tens: \( 0 + 8 + 1 = 9 \)
- Hundreds: \( 7 + 2 = 9 \)

#### Problem 3: \( 207 + 107 \)
\[
\begin{array}{r}
207 \\
+ 107 \\
\hline
314 \\
\end{array}
\]
- Ones: \( 7 + 7 = 14 \) (write 4, carry 1)
- Tens: \( 0 + 0 + 1 = 1 \)
- Hundreds: \( 2 + 1 = 3 \)

#### Problem 4: \( 614 + 165 \)
\[
\begin{array}{r}
614 \\
+ 165 \\
\hline
779 \\
\end{array}
\]
- Ones: \( 4 + 5 = 9 \)
- Tens: \( 1 + 6 = 7 \)
- Hundreds: \( 6 + 1 = 7 \)

#### Problem 5: \( 208 + 358 \)
\[
\begin{array}{r}
208 \\
+ 358 \\
\hline
566 \\
\end{array}
\]
- Ones: \( 8 + 8 = 16 \) (write 6, carry 1)
- Tens: \( 0 + 5 + 1 = 6 \)
- Hundreds: \( 2 + 3 = 5 \)

#### Problem 6: \( 294 + 416 \)
\[
\begin{array}{r}
294 \\
+ 416 \\
\hline
710 \\
\end{array}
\]
- Ones: \( 4 + 6 = 10 \) (write 0, carry 1)
- Tens: \( 9 + 1 + 1 = 11 \) (write 1, carry 1)
- Hundreds: \( 2 + 4 + 1 = 7 \)

#### Problem 7: \( 587 + 107 \)
\[
\begin{array}{r}
587 \\
+ 107 \\
\hline
694 \\
\end{array}
\]
- Ones: \( 7 + 7 = 14 \) (write 4, carry 1)
- Tens: \( 8 + 0 + 1 = 9 \)
- Hundreds: \( 5 + 1 = 6 \)

#### Problem 8: \( 150 + 423 \)
\[
\begin{array}{r}
150 \\
+ 423 \\
\hline
573 \\
\end{array}
\]
- Ones: \( 0 + 3 = 3 \)
- Tens: \( 5 + 2 = 7 \)
- Hundreds: \( 1 + 4 = 5 \)

#### Problem 9: \( 609 + 352 \)
\[
\begin{array}{r}
609 \\
+ 352 \\
\hline
961 \\
\end{array}
\]
- Ones: \( 9 + 2 = 11 \) (write 1, carry 1)
- Tens: \( 0 + 5 + 1 = 6 \)
- Hundreds: \( 6 + 3 = 9 \)

#### Problem 10: \( 248 + 481 \)
\[
\begin{array}{r}
248 \\
+ 481 \\
\hline
729 \\
\end{array}
\]
- Ones: \( 8 + 1 = 9 \)
- Tens: \( 4 + 8 = 12 \) (write 2, carry 1)
- Hundreds: \( 2 + 4 + 1 = 7 \)

#### Problem 11: \( 426 + 474 \)
\[
\begin{array}{r}
426 \\
+ 474 \\
\hline
900 \\
\end{array}
\]
- Ones: \( 6 + 4 = 10 \) (write 0, carry 1)
- Tens: \( 2 + 7 + 1 = 10 \) (write 0, carry 1)
- Hundreds: \( 4 + 4 + 1 = 9 \)

#### Problem 12: \( 435 + 263 \)
\[
\begin{array}{r}
435 \\
+ 263 \\
\hline
698 \\
\end{array}
\]
- Ones: \( 5 + 3 = 8 \)
- Tens: \( 3 + 6 = 9 \)
- Hundreds: \( 4 + 2 = 6 \)

#### Problem 13: \( 250 + 419 \)
\[
\begin{array}{r}
250 \\
+ 419 \\
\hline
669 \\
\end{array}
\]
- Ones: \( 0 + 9 = 9 \)
- Tens: \( 5 + 1 = 6 \)
- Hundreds: \( 2 + 4 = 6 \)

#### Problem 14: \( 440 + 270 \)
\[
\begin{array}{r}
440 \\
+ 270 \\
\hline
710 \\
\end{array}
\]
- Ones: \( 0 + 0 = 0 \)
- Tens: \( 4 + 7 = 11 \) (write 1, carry 1)
- Hundreds: \( 4 + 2 + 1 = 7 \)

#### Problem 15: \( 633 + 268 \)
\[
\begin{array}{r}
633 \\
+ 268 \\
\hline
901 \\
\end{array}
\]
- Ones: \( 3 + 8 = 11 \) (write 1, carry 1)
- Tens: \( 3 + 6 + 1 = 10 \) (write 0, carry 1)
- Hundreds: \( 6 + 2 + 1 = 9 \)

#### Problem 16: \( 554 + 100 \)
\[
\begin{array}{r}
554 \\
+ 100 \\
\hline
654 \\
\end{array}
\]
- Ones: \( 4 + 0 = 4 \)
- Tens: \( 5 + 0 = 5 \)
- Hundreds: \( 5 + 1 = 6 \)

#### Problem 17: \( 239 + 117 \)
\[
\begin{array}{r}
239 \\
+ 117 \\
\hline
356 \\
\end{array}
\]
- Ones: \( 9 + 7 = 16 \) (write 6, carry 1)
- Tens: \( 3 + 1 + 1 = 5 \)
- Hundreds: \( 2 + 1 = 3 \)

#### Problem 18: \( 246 + 373 \)
\[
\begin{array}{r}
246 \\
+ 373 \\
\hline
619 \\
\end{array}
\]
- Ones: \( 6 + 3 = 9 \)
- Tens: \( 4 + 7 = 11 \) (write 1, carry 1)
- Hundreds: \( 2 + 3 + 1 = 6 \)

#### Problem 19: \( 279 + 582 \)
\[
\begin{array}{r}
279 \\
+ 582 \\
\hline
861 \\
\end{array}
\]
- Ones: \( 9 + 2 = 11 \) (write 1, carry 1)
- Tens: \( 7 + 8 + 1 = 16 \) (write 6, carry 1)
- Hundreds: \( 2 + 5 + 1 = 8 \)

#### Problem 20: \( 671 + 187 \)
\[
\begin{array}{r}
671 \\
+ 187 \\
\hline
858 \\
\end{array}
\]
- Ones: \( 1 + 7 = 8 \)
- Tens: \( 7 + 8 = 15 \) (write 5, carry 1)
- Hundreds: \( 6 + 1 + 1 = 8 \)

#### Problem 21: \( 797 + 201 \)
\[
\begin{array}{r}
797 \\
+ 201 \\
\hline
998 \\
\end{array}
\]
- Ones: \( 7 + 1 = 8 \)
- Tens: \( 9 + 0 = 9 \)
- Hundreds: \( 7 + 2 = 9 \)

#### Problem 22: \( 204 + 474 \)
\[
\begin{array}{r}
204 \\
+ 474 \\
\hline
678 \\
\end{array}
\]
- Ones: \( 4 + 4 = 8 \)
- Tens: \( 0 + 7 = 7 \)
- Hundreds: \( 2 + 4 = 6 \)

#### Problem 23: \( 500 + 462 \)
\[
\begin{array}{r}
500 \\
+ 462 \\
\hline
962 \\
\end{array}
\]
- Ones: \( 0 + 2 = 2 \)
- Tens: \( 0 + 6 = 6 \)
- Hundreds: \( 5 + 4 = 9 \)

#### Problem 24: \( 196 + 441 \)
\[
\begin{array}{r}
196 \\
+ 441 \\
\hline
637 \\
\end{array}
\]
- Ones: \( 6 + 1 = 7 \)
- Tens: \( 9 + 4 = 13 \) (write 3, carry 1)
- Hundreds: \( 1 + 4 + 1 = 6 \)

#### Problem 25: \( 279 + 406 \)
\[
\begin{array}{r}
279 \\
+ 406 \\
\hline
685 \\
\end{array}
\]
- Ones: \( 9 + 6 = 15 \) (write 5, carry 1)
- Tens: \( 7 + 0 + 1 = 8 \)
- Hundreds: \( 2 + 4 = 6 \)

#### Problem 26: \( 470 + 264 \)
\[
\begin{array}{r}
470 \\
+ 264 \\
\hline
734 \\
\end{array}
\]
- Ones: \( 0 + 4 = 4 \)
- Tens: \( 7 + 6 = 13 \) (write 3, carry 1)
- Hundreds: \( 4 + 2 + 1 = 7 \)

#### Problem 27: \( 470 + 389 \)
\[
\begin{array}{r}
470 \\
+ 389 \\
\hline
859 \\
\end{array}
\]
- Ones: \( 0 + 9 = 9 \)
- Tens: \( 7 + 8 = 15 \) (write 5, carry 1)
- Hundreds: \( 4 + 3 + 1 = 8 \)

#### Problem 28: \( 471 + 458 \)
\[
\begin{array}{r}
471 \\
+ 458 \\
\hline
929 \\
\end{array}
\]
- Ones: \( 1 + 8 = 9 \)
- Tens: \( 7 + 5 = 12 \) (write 2, carry 1)
- Hundreds: \( 4 + 4 + 1 = 9 \)

#### Problem 29: \( 542 + 365 \)
\[
\begin{array}{r}
542 \\
+ 365 \\
\hline
907 \\
\end{array}
\]
- Ones: \( 2 + 5 = 7 \)
- Tens: \( 4 + 6 = 10 \) (write 0, carry 1)
- Hundreds: \( 5 + 3 + 1 = 9 \)

#### Problem 30: \( 392 + 399 \)
\[
\begin{array}{r}
392 \\
+ 399 \\
\hline
791 \\
\end{array}
\]
- Ones: \( 2 + 9 = 11 \) (write 1, carry 1)
- Tens: \( 9 + 9 + 1 = 19 \) (write 9, carry 1)
- Hundreds: \( 3 + 3 + 1 = 7 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. 579 & 2. 993 & 3. 314 & 4. 779 & 5. 566 \\
6. 710 & 7. 694 & 8. 573 & 9. 961 & 10. 729 \\
11. 900 & 12. 698 & 13. 669 & 14. 710 & 15. 901 \\
16. 654 & 17. 356 & 18. 619 & 19. 861 & 20. 858 \\
21. 998 & 22. 678 & 23. 962 & 24. 637 & 25. 685 \\
26. 734 & 27. 859 & 28. 929 & 29. 907 & 30. 791 \\
\end{array}
}
\]