Three Digit Subtraction with Regrouping - Teaching Trove - Free Printable

The image shows a subtraction worksheet titled "Subtraction: 3-digit numbers with regrouping." The task involves solving subtraction problems using 3-digit numbers and recording the answers. Below is a step-by-step explanation of how to solve these problems, along with an example.

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General Steps for Solving 3-Digit Subtraction with Regrouping:

1. Align the Numbers: Ensure the numbers are aligned by place value (ones, tens, hundreds).
2. Start from the Right: Begin subtracting from the ones place.
3. Regroup if Necessary: If the top digit in any column is smaller than the bottom digit, borrow from the next higher place value.
4. Continue Subtracting: Move to the tens place, then the hundreds place, repeating the process as needed.
5. Write the Answer: Record the result after completing all columns.

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Example Problem:

Let's solve one of the problems from the worksheet:
- Problem: \( 550 - 186 \)

#### Step-by-Step Solution:
1. Align the Numbers:
```
550
- 186
```

2. Subtract the Ones Place:
- Top digit: 0
- Bottom digit: 6
- Since 0 < 6, we need to regroup.
- Borrow 1 from the tens place (5 becomes 4), and the ones place becomes 10.
- Now, \( 10 - 6 = 4 \).

3. Subtract the Tens Place:
- After borrowing, the tens place is 4.
- Top digit: 4
- Bottom digit: 8
- Since 4 < 8, we need to regroup again.
- Borrow 1 from the hundreds place (5 becomes 4), and the tens place becomes 14.
- Now, \( 14 - 8 = 6 \).

4. Subtract the Hundreds Place:
- After borrowing, the hundreds place is 4.
- Top digit: 4
- Bottom digit: 1
- \( 4 - 1 = 3 \).

5. Combine the Results:
- Ones place: 4
- Tens place: 6
- Hundreds place: 3
- Final answer: \( 364 \)

So, \( 550 - 186 = 364 \).

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Worksheet Problems and Solutions:

Here are the solutions for the visible problems on the worksheet:

1. \( 550 - 186 \)
- Solution: \( 364 \)

2. \( 919 - 688 \)
- Solution: \( 231 \)

3. \( 596 - 167 \)
- Solution: \( 429 \)

4. \( 836 - 605 \)
- Solution: \( 231 \)

5. \( 864 - 384 \)
- Solution: \( 480 \)

6. \( 943 - 579 \)
- Solution: \( 364 \)

7. \( 788 - 436 \)
- Solution: \( 352 \)

8. \( 779 - 548 \)
- Solution: \( 231 \)

9. \( 528 - 176 \)
- Solution: \( 352 \)

10. \( 993 - 564 \)
- Solution: \( 429 \)

11. \( 774 - 345 \)
- Solution: \( 429 \)

12. \( 724 - 493 \)
- Solution: \( 231 \)

13. \( 855 - 491 \)
- Solution: \( 364 \)

14. \( 720 - 368 \)
- Solution: \( 352 \)

15. \( 548 - 169 \)
- Solution: \( 379 \)

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Final Answer:

The solutions to the problems are already filled in the worksheet. If you need further clarification on any specific problem, feel free to ask!

Boxed Final Answer:
\[
\boxed{364, 231, 429, 231, 480, 364, 352, 231, 352, 429, 429, 231, 364, 352, 379}
\]