Subtraction with Regrouping worksheet for 3rd-grade math practice.
A math worksheet titled "Subtraction with Regrouping" featuring three-digit subtraction problems, decorated with a cartoon penguin wearing a winter hat and scarf.
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Show Answer Key & Explanations
Step-by-step solution for: 3-Digit Subtraction - Free Worksheets
▼
Show Answer Key & Explanations
Step-by-step solution for: 3-Digit Subtraction - Free Worksheets
The task involves solving subtraction problems that require regrouping (borrowing). Let's solve each problem step by step.
---
1. 892 - 483
- Subtract the ones place: \( 2 - 3 \). Since 2 is less than 3, borrow 1 from the tens place (9 becomes 8), and 2 becomes 12.
\[
12 - 3 = 9
\]
- Subtract the tens place: \( 8 - 8 = 0 \).
- Subtract the hundreds place: \( 8 - 4 = 4 \).
- Result: 409
2. 659 - 277
- Subtract the ones place: \( 9 - 7 = 2 \).
- Subtract the tens place: \( 5 - 7 \). Since 5 is less than 7, borrow 1 from the hundreds place (6 becomes 5), and 5 becomes 15.
\[
15 - 7 = 8
\]
- Subtract the hundreds place: \( 5 - 2 = 3 \).
- Result: 382
3. 952 - 386
- Subtract the ones place: \( 2 - 6 \). Since 2 is less than 6, borrow 1 from the tens place (5 becomes 4), and 2 becomes 12.
\[
12 - 6 = 6
\]
- Subtract the tens place: \( 4 - 8 \). Since 4 is less than 8, borrow 1 from the hundreds place (9 becomes 8), and 4 becomes 14.
\[
14 - 8 = 6
\]
- Subtract the hundreds place: \( 8 - 3 = 5 \).
- Result: 566
4. 529 - 343
- Subtract the ones place: \( 9 - 3 = 6 \).
- Subtract the tens place: \( 2 - 4 \). Since 2 is less than 4, borrow 1 from the hundreds place (5 becomes 4), and 2 becomes 12.
\[
12 - 4 = 8
\]
- Subtract the hundreds place: \( 4 - 3 = 1 \).
- Result: 186
---
5. 792 - 373
- Subtract the ones place: \( 2 - 3 \). Since 2 is less than 3, borrow 1 from the tens place (9 becomes 8), and 2 becomes 12.
\[
12 - 3 = 9
\]
- Subtract the tens place: \( 8 - 7 = 1 \).
- Subtract the hundreds place: \( 7 - 3 = 4 \).
- Result: 419
6. 563 - 483
- Subtract the ones place: \( 3 - 3 = 0 \).
- Subtract the tens place: \( 6 - 8 \). Since 6 is less than 8, borrow 1 from the hundreds place (5 becomes 4), and 6 becomes 16.
\[
16 - 8 = 8
\]
- Subtract the hundreds place: \( 4 - 4 = 0 \).
- Result: 080 or simply 80
7. 437 - 385
- Subtract the ones place: \( 7 - 5 = 2 \).
- Subtract the tens place: \( 3 - 8 \). Since 3 is less than 8, borrow 1 from the hundreds place (4 becomes 3), and 3 becomes 13.
\[
13 - 8 = 5
\]
- Subtract the hundreds place: \( 3 - 3 = 0 \).
- Result: 052 or simply 52
8. 455 - 262
- Subtract the ones place: \( 5 - 2 = 3 \).
- Subtract the tens place: \( 5 - 6 \). Since 5 is less than 6, borrow 1 from the hundreds place (4 becomes 3), and 5 becomes 15.
\[
15 - 6 = 9
\]
- Subtract the hundreds place: \( 3 - 2 = 1 \).
- Result: 193
---
9. 590 - 229
- Subtract the ones place: \( 0 - 9 \). Since 0 is less than 9, borrow 1 from the tens place (9 becomes 8), and 0 becomes 10.
\[
10 - 9 = 1
\]
- Subtract the tens place: \( 8 - 2 = 6 \).
- Subtract the hundreds place: \( 5 - 2 = 3 \).
- Result: 361
10. 656 - 438
- Subtract the ones place: \( 6 - 8 \). Since 6 is less than 8, borrow 1 from the tens place (5 becomes 4), and 6 becomes 16.
\[
16 - 8 = 8
\]
- Subtract the tens place: \( 4 - 3 = 1 \).
- Subtract the hundreds place: \( 6 - 4 = 2 \).
- Result: 218
11. 709 - 332
- Subtract the ones place: \( 9 - 2 = 7 \).
- Subtract the tens place: \( 0 - 3 \). Since 0 is less than 3, borrow 1 from the hundreds place (7 becomes 6), and 0 becomes 10.
\[
10 - 3 = 7
\]
- Subtract the hundreds place: \( 6 - 3 = 3 \).
- Result: 377
---
\[
\boxed{
\begin{array}{cccc}
409 & 382 & 566 & 186 \\
419 & 80 & 52 & 193 \\
361 & 218 & 377 &
\end{array}
}
\]
---
First Row:
1. 892 - 483
- Subtract the ones place: \( 2 - 3 \). Since 2 is less than 3, borrow 1 from the tens place (9 becomes 8), and 2 becomes 12.
\[
12 - 3 = 9
\]
- Subtract the tens place: \( 8 - 8 = 0 \).
- Subtract the hundreds place: \( 8 - 4 = 4 \).
- Result: 409
2. 659 - 277
- Subtract the ones place: \( 9 - 7 = 2 \).
- Subtract the tens place: \( 5 - 7 \). Since 5 is less than 7, borrow 1 from the hundreds place (6 becomes 5), and 5 becomes 15.
\[
15 - 7 = 8
\]
- Subtract the hundreds place: \( 5 - 2 = 3 \).
- Result: 382
3. 952 - 386
- Subtract the ones place: \( 2 - 6 \). Since 2 is less than 6, borrow 1 from the tens place (5 becomes 4), and 2 becomes 12.
\[
12 - 6 = 6
\]
- Subtract the tens place: \( 4 - 8 \). Since 4 is less than 8, borrow 1 from the hundreds place (9 becomes 8), and 4 becomes 14.
\[
14 - 8 = 6
\]
- Subtract the hundreds place: \( 8 - 3 = 5 \).
- Result: 566
4. 529 - 343
- Subtract the ones place: \( 9 - 3 = 6 \).
- Subtract the tens place: \( 2 - 4 \). Since 2 is less than 4, borrow 1 from the hundreds place (5 becomes 4), and 2 becomes 12.
\[
12 - 4 = 8
\]
- Subtract the hundreds place: \( 4 - 3 = 1 \).
- Result: 186
---
Second Row:
5. 792 - 373
- Subtract the ones place: \( 2 - 3 \). Since 2 is less than 3, borrow 1 from the tens place (9 becomes 8), and 2 becomes 12.
\[
12 - 3 = 9
\]
- Subtract the tens place: \( 8 - 7 = 1 \).
- Subtract the hundreds place: \( 7 - 3 = 4 \).
- Result: 419
6. 563 - 483
- Subtract the ones place: \( 3 - 3 = 0 \).
- Subtract the tens place: \( 6 - 8 \). Since 6 is less than 8, borrow 1 from the hundreds place (5 becomes 4), and 6 becomes 16.
\[
16 - 8 = 8
\]
- Subtract the hundreds place: \( 4 - 4 = 0 \).
- Result: 080 or simply 80
7. 437 - 385
- Subtract the ones place: \( 7 - 5 = 2 \).
- Subtract the tens place: \( 3 - 8 \). Since 3 is less than 8, borrow 1 from the hundreds place (4 becomes 3), and 3 becomes 13.
\[
13 - 8 = 5
\]
- Subtract the hundreds place: \( 3 - 3 = 0 \).
- Result: 052 or simply 52
8. 455 - 262
- Subtract the ones place: \( 5 - 2 = 3 \).
- Subtract the tens place: \( 5 - 6 \). Since 5 is less than 6, borrow 1 from the hundreds place (4 becomes 3), and 5 becomes 15.
\[
15 - 6 = 9
\]
- Subtract the hundreds place: \( 3 - 2 = 1 \).
- Result: 193
---
Third Row:
9. 590 - 229
- Subtract the ones place: \( 0 - 9 \). Since 0 is less than 9, borrow 1 from the tens place (9 becomes 8), and 0 becomes 10.
\[
10 - 9 = 1
\]
- Subtract the tens place: \( 8 - 2 = 6 \).
- Subtract the hundreds place: \( 5 - 2 = 3 \).
- Result: 361
10. 656 - 438
- Subtract the ones place: \( 6 - 8 \). Since 6 is less than 8, borrow 1 from the tens place (5 becomes 4), and 6 becomes 16.
\[
16 - 8 = 8
\]
- Subtract the tens place: \( 4 - 3 = 1 \).
- Subtract the hundreds place: \( 6 - 4 = 2 \).
- Result: 218
11. 709 - 332
- Subtract the ones place: \( 9 - 2 = 7 \).
- Subtract the tens place: \( 0 - 3 \). Since 0 is less than 3, borrow 1 from the hundreds place (7 becomes 6), and 0 becomes 10.
\[
10 - 3 = 7
\]
- Subtract the hundreds place: \( 6 - 3 = 3 \).
- Result: 377
---
Final Answers:
\[
\boxed{
\begin{array}{cccc}
409 & 382 & 566 & 186 \\
419 & 80 & 52 & 193 \\
361 & 218 & 377 &
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of 3rd grade double digit subtraction worksheet.