3RD GRADE MATH - THREE DIGIT SUBTRACTION WITH REGROUPING — Steemit - Free Printable
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Step-by-step solution for: 3RD GRADE MATH - THREE DIGIT SUBTRACTION WITH REGROUPING — Steemit
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Show Answer Key & Explanations
Step-by-step solution for: 3RD GRADE MATH - THREE DIGIT SUBTRACTION WITH REGROUPING — Steemit
Let's solve each subtraction problem in the worksheet step by step, using three-digit subtraction with regrouping (also known as borrowing). We'll follow the example provided:
---
```
704
-256
----
448
```
We’ll use the same method for all problems.
---
```
341
-163
----
```
- Ones place: 1 - 3 → can't do, borrow from tens.
- Tens digit is 4 → becomes 3, ones become 11.
- 11 - 3 = 8
- Tens place: 3 (after borrowing) - 6 → can't do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens become 13.
- 13 - 6 = 7
- Hundreds place: 2 - 1 = 1
✔ Result: 178
---
```
635
-247
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens go from 3 to 2
- Tens: 2 - 4 → borrow → 12 - 4 = 8, hundreds go from 6 to 5
- Hundreds: 5 - 2 = 3
✔ Result: 388
---
```
607
-379
----
```
- Ones: 7 - 9 → borrow → 17 - 9 = 8, tens go from 0 to 9 (but need to borrow from hundreds)
- Since tens is 0, we must borrow from hundreds.
- Hundreds: 6 → 5, tens: 0 → 10, but then borrow → tens: 9, ones: 17
- Tens: 9 - 7 = 2
- Hundreds: 5 - 3 = 2
✔ Result: 228
---
```
803
-456
----
```
- Ones: 3 - 6 → borrow → 13 - 6 = 7, tens: 0 → 9 (but need to borrow)
- Tens is 0 → borrow from hundreds: 8 → 7, tens: 10 → then borrow → 9, ones: 13
- Tens: 9 - 5 = 4
- Hundreds: 7 - 4 = 3
✔ Result: 347
---
```
904
-495
----
```
- Ones: 4 - 5 → borrow → 14 - 5 = 9, tens: 0 → 9 (borrow needed)
- Tens: 0 → borrow from hundreds → 9 → 8, tens: 10 → borrow → 9, ones: 14
- Tens: 9 - 9 = 0
- Hundreds: 8 - 4 = 4
✔ Result: 409
---
```
510
-373
----
```
- Ones: 0 - 3 → borrow → 10 - 3 = 7, tens: 1 → 0
- Tens: 0 - 7 → borrow → 10 - 7 = 3, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
✔ Result: 137
---
```
531
-367
----
```
- Ones: 1 - 7 → borrow → 11 - 7 = 4, tens: 3 → 2
- Tens: 2 - 6 → borrow → 12 - 6 = 6, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
✔ Result: 164
---
```
962
-389
----
```
- Ones: 2 - 9 → borrow → 12 - 9 = 3, tens: 6 → 5
- Tens: 5 - 8 → borrow → 15 - 8 = 7, hundreds: 9 → 8
- Hundreds: 8 - 3 = 5
✔ Result: 573
---
```
745
-467
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens: 4 → 3
- Tens: 3 - 6 → borrow → 13 - 6 = 7, hundreds: 7 → 6
- Hundreds: 6 - 4 = 2
✔ Result: 278
---
```
823
-645
----
```
- Ones: 3 - 5 → borrow → 13 - 5 = 8, tens: 2 → 1
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 8 → 7
- Hundreds: 7 - 6 = 1
✔ Result: 178
---
```
555
-487
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens: 5 → 4
- Tens: 4 - 8 → borrow → 14 - 8 = 6, hundreds: 5 → 4
- Hundreds: 4 - 4 = 0
✔ Result: 068 → or 68
---
```
410
-362
----
```
- Ones: 0 - 2 → borrow → 10 - 2 = 8, tens: 1 → 0
- Tens: 0 - 6 → borrow → 10 - 6 = 4, hundreds: 4 → 3
- Hundreds: 3 - 3 = 0
✔ Result: 048 → or 48
---
```
926
-895
----
```
- Ones: 6 - 5 = 1
- Tens: 2 - 9 → borrow → 12 - 9 = 3, hundreds: 9 → 8
- Hundreds: 8 - 8 = 0
✔ Result: 031 → or 31
---
```
568
-129
----
```
- Ones: 8 - 9 → borrow → 18 - 9 = 9, tens: 6 → 5
- Tens: 5 - 2 = 3
- Hundreds: 5 - 1 = 4
✔ Result: 439
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 341 - 163 | 178 |
| 635 - 247 | 388 |
| 607 - 379 | 228 |
| 803 - 456 | 347 |
| 904 - 495 | 409 |
| 510 - 373 | 137 |
| 531 - 367 | 164 |
| 962 - 389 | 573 |
| 745 - 467 | 278 |
| 823 - 645 | 178 |
| 555 - 487 | 68 |
| 410 - 362 | 48 |
| 926 - 895 | 31 |
| 568 - 129 | 439 |
---
All problems involve regrouping (borrowing) when a digit in the minuend is smaller than the corresponding digit in the subtrahend. The key steps are:
1. Start from the right (ones place).
2. Borrow from the next higher place if needed.
3. Subtract digit by digit.
Let me know if you'd like this formatted as a printable answer sheet!
---
🔷 Example:
```
704
-256
----
448
```
We’ll use the same method for all problems.
---
✔ Problem 1: `341 - 163`
```
341
-163
----
```
- Ones place: 1 - 3 → can't do, borrow from tens.
- Tens digit is 4 → becomes 3, ones become 11.
- 11 - 3 = 8
- Tens place: 3 (after borrowing) - 6 → can't do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens become 13.
- 13 - 6 = 7
- Hundreds place: 2 - 1 = 1
✔ Result: 178
---
✔ Problem 2: `635 - 247`
```
635
-247
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens go from 3 to 2
- Tens: 2 - 4 → borrow → 12 - 4 = 8, hundreds go from 6 to 5
- Hundreds: 5 - 2 = 3
✔ Result: 388
---
✔ Problem 3: `607 - 379`
```
607
-379
----
```
- Ones: 7 - 9 → borrow → 17 - 9 = 8, tens go from 0 to 9 (but need to borrow from hundreds)
- Since tens is 0, we must borrow from hundreds.
- Hundreds: 6 → 5, tens: 0 → 10, but then borrow → tens: 9, ones: 17
- Tens: 9 - 7 = 2
- Hundreds: 5 - 3 = 2
✔ Result: 228
---
✔ Problem 4: `803 - 456`
```
803
-456
----
```
- Ones: 3 - 6 → borrow → 13 - 6 = 7, tens: 0 → 9 (but need to borrow)
- Tens is 0 → borrow from hundreds: 8 → 7, tens: 10 → then borrow → 9, ones: 13
- Tens: 9 - 5 = 4
- Hundreds: 7 - 4 = 3
✔ Result: 347
---
✔ Problem 5: `904 - 495`
```
904
-495
----
```
- Ones: 4 - 5 → borrow → 14 - 5 = 9, tens: 0 → 9 (borrow needed)
- Tens: 0 → borrow from hundreds → 9 → 8, tens: 10 → borrow → 9, ones: 14
- Tens: 9 - 9 = 0
- Hundreds: 8 - 4 = 4
✔ Result: 409
---
✔ Problem 6: `510 - 373`
```
510
-373
----
```
- Ones: 0 - 3 → borrow → 10 - 3 = 7, tens: 1 → 0
- Tens: 0 - 7 → borrow → 10 - 7 = 3, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
✔ Result: 137
---
✔ Problem 7: `531 - 367`
```
531
-367
----
```
- Ones: 1 - 7 → borrow → 11 - 7 = 4, tens: 3 → 2
- Tens: 2 - 6 → borrow → 12 - 6 = 6, hundreds: 5 → 4
- Hundreds: 4 - 3 = 1
✔ Result: 164
---
✔ Problem 8: `962 - 389`
```
962
-389
----
```
- Ones: 2 - 9 → borrow → 12 - 9 = 3, tens: 6 → 5
- Tens: 5 - 8 → borrow → 15 - 8 = 7, hundreds: 9 → 8
- Hundreds: 8 - 3 = 5
✔ Result: 573
---
✔ Problem 9: `745 - 467`
```
745
-467
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens: 4 → 3
- Tens: 3 - 6 → borrow → 13 - 6 = 7, hundreds: 7 → 6
- Hundreds: 6 - 4 = 2
✔ Result: 278
---
✔ Problem 10: `823 - 645`
```
823
-645
----
```
- Ones: 3 - 5 → borrow → 13 - 5 = 8, tens: 2 → 1
- Tens: 1 - 4 → borrow → 11 - 4 = 7, hundreds: 8 → 7
- Hundreds: 7 - 6 = 1
✔ Result: 178
---
✔ Problem 11: `555 - 487`
```
555
-487
----
```
- Ones: 5 - 7 → borrow → 15 - 7 = 8, tens: 5 → 4
- Tens: 4 - 8 → borrow → 14 - 8 = 6, hundreds: 5 → 4
- Hundreds: 4 - 4 = 0
✔ Result: 068 → or 68
---
✔ Problem 12: `410 - 362`
```
410
-362
----
```
- Ones: 0 - 2 → borrow → 10 - 2 = 8, tens: 1 → 0
- Tens: 0 - 6 → borrow → 10 - 6 = 4, hundreds: 4 → 3
- Hundreds: 3 - 3 = 0
✔ Result: 048 → or 48
---
✔ Problem 13: `926 - 895`
```
926
-895
----
```
- Ones: 6 - 5 = 1
- Tens: 2 - 9 → borrow → 12 - 9 = 3, hundreds: 9 → 8
- Hundreds: 8 - 8 = 0
✔ Result: 031 → or 31
---
✔ Problem 14: `568 - 129`
```
568
-129
----
```
- Ones: 8 - 9 → borrow → 18 - 9 = 9, tens: 6 → 5
- Tens: 5 - 2 = 3
- Hundreds: 5 - 1 = 4
✔ Result: 439
---
## ✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 341 - 163 | 178 |
| 635 - 247 | 388 |
| 607 - 379 | 228 |
| 803 - 456 | 347 |
| 904 - 495 | 409 |
| 510 - 373 | 137 |
| 531 - 367 | 164 |
| 962 - 389 | 573 |
| 745 - 467 | 278 |
| 823 - 645 | 178 |
| 555 - 487 | 68 |
| 410 - 362 | 48 |
| 926 - 895 | 31 |
| 568 - 129 | 439 |
---
📝 Summary:
All problems involve regrouping (borrowing) when a digit in the minuend is smaller than the corresponding digit in the subtrahend. The key steps are:
1. Start from the right (ones place).
2. Borrow from the next higher place if needed.
3. Subtract digit by digit.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of regrouping subtraction worksheet 3rd grade.