Addition and Subtraction Worksheets for Grade 3 with Answer Key - Free Printable

Problem Description:

The task involves solving a series of addition and subtraction problems without regrouping. This means that each digit in the numbers being added or subtracted does not exceed 9 when adding or does not require borrowing when subtracting.

Solution Approach:

1. Addition: Add the digits in each column (units, tens, hundreds) directly.
2. Subtraction: Subtract the digits in each column directly, ensuring no borrowing is needed.
3. No Regrouping: Ensure that for addition, the sum of digits in each column does not exceed 9, and for subtraction, the digit being subtracted is less than or equal to the digit it is subtracted from.

Step-by-Step Solutions:

#### Addition Problems:
1. Problem 1: \( 330 + 623 \)
- Units: \( 0 + 3 = 3 \)
- Tens: \( 3 + 2 = 5 \)
- Hundreds: \( 3 + 6 = 9 \)
- Result: \( 953 \)

2. Problem 2: \( 126 + 243 \)
- Units: \( 6 + 3 = 9 \)
- Tens: \( 2 + 4 = 6 \)
- Hundreds: \( 1 + 2 = 3 \)
- Result: \( 369 \)

3. Problem 7: \( 666 + 333 \)
- Units: \( 6 + 3 = 9 \)
- Tens: \( 6 + 3 = 9 \)
- Hundreds: \( 6 + 3 = 9 \)
- Result: \( 999 \)

4. Problem 12: \( 334 + 100 \)
- Units: \( 4 + 0 = 4 \)
- Tens: \( 3 + 0 = 3 \)
- Hundreds: \( 3 + 1 = 4 \)
- Result: \( 434 \)

5. Problem 16: \( 322 + 571 \)
- Units: \( 2 + 1 = 3 \)
- Tens: \( 2 + 7 = 9 \)
- Hundreds: \( 3 + 5 = 8 \)
- Result: \( 893 \)

6. Problem 17: \( 259 + 340 \)
- Units: \( 9 + 0 = 9 \)
- Tens: \( 5 + 4 = 9 \)
- Hundreds: \( 2 + 3 = 5 \)
- Result: \( 599 \)

7. Problem 20: \( 354 + 122 \)
- Units: \( 4 + 2 = 6 \)
- Tens: \( 5 + 2 = 7 \)
- Hundreds: \( 3 + 1 = 4 \)
- Result: \( 476 \)

8. Problem 24: \( 234 + 523 \)
- Units: \( 4 + 3 = 7 \)
- Tens: \( 3 + 2 = 5 \)
- Hundreds: \( 2 + 5 = 7 \)
- Result: \( 757 \)

#### Subtraction Problems:
1. Problem 3: \( 373 - 111 \)
- Units: \( 3 - 1 = 2 \)
- Tens: \( 7 - 1 = 6 \)
- Hundreds: \( 3 - 1 = 2 \)
- Result: \( 262 \)

2. Problem 4: \( 662 - 331 \)
- Units: \( 2 - 1 = 1 \)
- Tens: \( 6 - 3 = 3 \)
- Hundreds: \( 6 - 3 = 3 \)
- Result: \( 331 \)

3. Problem 5: \( 359 - 210 \)
- Units: \( 9 - 0 = 9 \)
- Tens: \( 5 - 1 = 4 \)
- Hundreds: \( 3 - 2 = 1 \)
- Result: \( 149 \)

4. Problem 6: \( 412 - 321 \)
- Units: \( 2 - 1 = 1 \)
- Tens: \( 1 - 2 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 1 - 2 = -1 \))
- Hundreds: \( 4 - 3 = 1 \)
- Result: \( 1-11 \) (invalid without regrouping)

5. Problem 8: \( 340 - 222 \)
- Units: \( 0 - 2 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 0 - 2 = -2 \))
- Tens: \( 4 - 2 = 2 \)
- Hundreds: \( 3 - 2 = 1 \)
- Result: \( 12-2 \) (invalid without regrouping)

6. Problem 9: \( 106 + 442 \)
- Units: \( 6 + 2 = 8 \)
- Tens: \( 0 + 4 = 4 \)
- Hundreds: \( 1 + 4 = 5 \)
- Result: \( 548 \)

7. Problem 10: \( 717 - 213 \)
- Units: \( 7 - 3 = 4 \)
- Tens: \( 1 - 1 = 0 \)
- Hundreds: \( 7 - 2 = 5 \)
- Result: \( 504 \)

8. Problem 11: \( 634 - 235 \)
- Units: \( 4 - 5 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 4 - 5 = -1 \))
- Tens: \( 3 - 3 = 0 \)
- Hundreds: \( 6 - 2 = 4 \)
- Result: \( 40-1 \) (invalid without regrouping)

9. Problem 13: \( 500 - 200 \)
- Units: \( 0 - 0 = 0 \)
- Tens: \( 0 - 0 = 0 \)
- Hundreds: \( 5 - 2 = 3 \)
- Result: \( 300 \)

10. Problem 14: \( 510 - 320 \)
- Units: \( 0 - 0 = 0 \)
- Tens: \( 1 - 2 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 1 - 2 = -1 \))
- Hundreds: \( 5 - 3 = 2 \)
- Result: \( 2-10 \) (invalid without regrouping)

11. Problem 15: \( 712 + 223 \)
- Units: \( 2 + 3 = 5 \)
- Tens: \( 1 + 2 = 3 \)
- Hundreds: \( 7 + 2 = 9 \)
- Result: \( 935 \)

12. Problem 18: \( 703 - 202 \)
- Units: \( 3 - 2 = 1 \)
- Tens: \( 0 - 0 = 0 \)
- Hundreds: \( 7 - 2 = 5 \)
- Result: \( 501 \)

13. Problem 19: \( 227 + 141 \)
- Units: \( 7 + 1 = 8 \)
- Tens: \( 2 + 4 = 6 \)
- Hundreds: \( 2 + 1 = 3 \)
- Result: \( 368 \)

14. Problem 21: \( 627 - 251 \)
- Units: \( 7 - 1 = 6 \)
- Tens: \( 2 - 5 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 2 - 5 = -3 \))
- Hundreds: \( 6 - 2 = 4 \)
- Result: \( 4-36 \) (invalid without regrouping)

15. Problem 22: \( 852 - 122 \)
- Units: \( 2 - 2 = 0 \)
- Tens: \( 5 - 2 = 3 \)
- Hundreds: \( 8 - 1 = 7 \)
- Result: \( 730 \)

16. Problem 23: \( 162 - 104 \)
- Units: \( 2 - 4 \) (not possible without regrouping, but assuming no regrouping is allowed, this problem is invalid. However, if we proceed as instructed: \( 2 - 4 = -2 \))
- Tens: \( 6 - 0 = 6 \)
- Hundreds: \( 1 - 1 = 0 \)
- Result: \( 06-2 \) (invalid without regrouping)

17. Problem 25: \( 555 - 333 \)
- Units: \( 5 - 3 = 2 \)
- Tens: \( 5 - 3 = 2 \)
- Hundreds: \( 5 - 3 = 2 \)
- Result: \( 222 \)

Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 953 \\
2. & 369 \\
3. & 262 \\
4. & 331 \\
5. & 149 \\
6. & 412 - 321 \text{ (invalid)} \\
7. & 999 \\
8. & 340 - 222 \text{ (invalid)} \\
9. & 548 \\
10. & 504 \\
11. & 634 - 235 \text{ (invalid)} \\
12. & 434 \\
13. & 300 \\
14. & 510 - 320 \text{ (invalid)} \\
15. & 935 \\
16. & 893 \\
17. & 599 \\
18. & 501 \\
19. & 368 \\
20. & 476 \\
21. & 627 - 251 \text{ (invalid)} \\
22. & 730 \\
23. & 162 - 104 \text{ (invalid)} \\
24. & 757 \\
25. & 222 \\
\end{array}
}
\]