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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Step-by-step solution for: 3RD GRADE MATH - THREE DIGIT SUBTRACTION WITH REGROUPING — Steemit
You're working on a Three-Digit Subtraction With Regrouping worksheet. The goal is to subtract the bottom number from the top number in each problem, using regrouping (borrowing) when necessary.
The first problem is done as an example:
```
704
- 256
-----
448
```
✔ Explanation of Example:
- Ones place: 4 – 6 → Can’t do that, so borrow 1 from tens. But tens digit is 0, so we must go to hundreds.
- Borrow 1 from 7 (hundreds) → becomes 6; the 0 (tens) becomes 10.
- Now borrow 1 from tens (10) → becomes 9; ones become 14.
- 14 – 6 = 8
- Tens place: 9 – 5 = 4
- Hundreds place: 6 – 2 = 4
→ Answer: 448
---
Now let’s solve all the remaining problems step by step.
---
```
341
- 163
-----
```
- Ones: 1 – 3 → borrow → 11 – 3 = 8 (tens becomes 3)
- Tens: 3 – 6 → borrow → 13 – 6 = 7 (hundreds becomes 2)
- Hundreds: 2 – 1 = 1
✔ Answer: 178
---
```
635
- 247
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 2)
- Tens: 2 – 4 → borrow → 12 – 4 = 8 (hundreds becomes 5)
- Hundreds: 5 – 2 = 3
✔ Answer: 388
---
```
607
- 379
-----
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8 (tens is 0, so borrow from hundreds)
- Hundreds: 6 → 5, tens: 0 → 10, then borrow 1 for ones → tens becomes 9
- Tens: 9 – 7 = 2
- Hundreds: 5 – 3 = 2
✔ Answer: 228
---
```
803
- 456
-----
```
- Ones: 3 – 6 → borrow → 13 – 6 = 7 (tens is 0 → borrow from hundreds)
- Hundreds: 8 → 7, tens: 0 → 10 → then borrow 1 → tens becomes 9
- Tens: 9 – 5 = 4
- Hundreds: 7 – 4 = 3
✔ Answer: 347
---
```
904
- 495
-----
```
- Ones: 4 – 5 → borrow → 14 – 5 = 9 (tens is 0 → borrow from hundreds)
- Hundreds: 9 → 8, tens: 0 → 10 → borrow 1 → tens becomes 9
- Tens: 9 – 9 = 0
- Hundreds: 8 – 4 = 4
✔ Answer: 409
---
```
510
- 373
-----
```
- Ones: 0 – 3 → borrow → 10 – 3 = 7 (tens becomes 0)
- Tens: 0 – 7 → borrow → 10 – 7 = 3 (hundreds becomes 4)
- Hundreds: 4 – 3 = 1
✔ Answer: 137
---
```
531
- 367
-----
```
- Ones: 1 – 7 → borrow → 11 – 7 = 4 (tens becomes 2)
- Tens: 2 – 6 → borrow → 12 – 6 = 6 (hundreds becomes 4)
- Hundreds: 4 – 3 = 1
✔ Answer: 164
---
```
962
- 389
-----
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3 (tens becomes 5)
- Tens: 5 – 8 → borrow → 15 – 8 = 7 (hundreds becomes 8)
- Hundreds: 8 – 3 = 5
✔ Answer: 573
---
```
745
- 467
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 3)
- Tens: 3 – 6 → borrow → 13 – 6 = 7 (hundreds becomes 6)
- Hundreds: 6 – 4 = 2
✔ Answer: 278
---
```
823
- 645
-----
```
- Ones: 3 – 5 → borrow → 13 – 5 = 8 (tens becomes 1)
- Tens: 1 – 4 → borrow → 11 – 4 = 7 (hundreds becomes 7)
- Hundreds: 7 – 6 = 1
✔ Answer: 178
---
```
555
- 487
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 4)
- Tens: 4 – 8 → borrow → 14 – 8 = 6 (hundreds becomes 4)
- Hundreds: 4 – 4 = 0
✔ Answer: 68 (Note: Leading zero not written)
---
```
410
- 362
-----
```
- Ones: 0 – 2 → borrow → 10 – 2 = 8 (tens becomes 0)
- Tens: 0 – 6 → borrow → 10 – 6 = 4 (hundreds becomes 3)
- Hundreds: 3 – 3 = 0
✔ Answer: 48
---
```
926
- 895
-----
```
- Ones: 6 – 5 = 1
- Tens: 2 – 9 → borrow → 12 – 9 = 3 (hundreds becomes 8)
- Hundreds: 8 – 8 = 0
✔ Answer: 31
---
```
568
- 129
-----
```
- Ones: 8 – 9 → borrow → 18 – 9 = 9 (tens becomes 5)
- Tens: 5 – 2 = 3
- Hundreds: 5 – 1 = 4
✔ Answer: 439
---
## ✔ Final Answers (in order):
| 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 |
---
📌 Tip: Always start from the ones place, and if the top digit is smaller than the bottom, regroup (borrow) from the next higher place value — even if you have to go through zeros!
Let me know if you’d like to see any problem worked out visually or with diagrams!
The first problem is done as an example:
```
704
- 256
-----
448
```
✔ Explanation of Example:
- Ones place: 4 – 6 → Can’t do that, so borrow 1 from tens. But tens digit is 0, so we must go to hundreds.
- Borrow 1 from 7 (hundreds) → becomes 6; the 0 (tens) becomes 10.
- Now borrow 1 from tens (10) → becomes 9; ones become 14.
- 14 – 6 = 8
- Tens place: 9 – 5 = 4
- Hundreds place: 6 – 2 = 4
→ Answer: 448
---
Now let’s solve all the remaining problems step by step.
---
Problem 1: 341 – 163
```
341
- 163
-----
```
- Ones: 1 – 3 → borrow → 11 – 3 = 8 (tens becomes 3)
- Tens: 3 – 6 → borrow → 13 – 6 = 7 (hundreds becomes 2)
- Hundreds: 2 – 1 = 1
✔ Answer: 178
---
Problem 2: 635 – 247
```
635
- 247
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 2)
- Tens: 2 – 4 → borrow → 12 – 4 = 8 (hundreds becomes 5)
- Hundreds: 5 – 2 = 3
✔ Answer: 388
---
Problem 3: 607 – 379
```
607
- 379
-----
```
- Ones: 7 – 9 → borrow → 17 – 9 = 8 (tens is 0, so borrow from hundreds)
- Hundreds: 6 → 5, tens: 0 → 10, then borrow 1 for ones → tens becomes 9
- Tens: 9 – 7 = 2
- Hundreds: 5 – 3 = 2
✔ Answer: 228
---
Problem 4: 803 – 456
```
803
- 456
-----
```
- Ones: 3 – 6 → borrow → 13 – 6 = 7 (tens is 0 → borrow from hundreds)
- Hundreds: 8 → 7, tens: 0 → 10 → then borrow 1 → tens becomes 9
- Tens: 9 – 5 = 4
- Hundreds: 7 – 4 = 3
✔ Answer: 347
---
Problem 5: 904 – 495
```
904
- 495
-----
```
- Ones: 4 – 5 → borrow → 14 – 5 = 9 (tens is 0 → borrow from hundreds)
- Hundreds: 9 → 8, tens: 0 → 10 → borrow 1 → tens becomes 9
- Tens: 9 – 9 = 0
- Hundreds: 8 – 4 = 4
✔ Answer: 409
---
Problem 6: 510 – 373
```
510
- 373
-----
```
- Ones: 0 – 3 → borrow → 10 – 3 = 7 (tens becomes 0)
- Tens: 0 – 7 → borrow → 10 – 7 = 3 (hundreds becomes 4)
- Hundreds: 4 – 3 = 1
✔ Answer: 137
---
Problem 7: 531 – 367
```
531
- 367
-----
```
- Ones: 1 – 7 → borrow → 11 – 7 = 4 (tens becomes 2)
- Tens: 2 – 6 → borrow → 12 – 6 = 6 (hundreds becomes 4)
- Hundreds: 4 – 3 = 1
✔ Answer: 164
---
Problem 8: 962 – 389
```
962
- 389
-----
```
- Ones: 2 – 9 → borrow → 12 – 9 = 3 (tens becomes 5)
- Tens: 5 – 8 → borrow → 15 – 8 = 7 (hundreds becomes 8)
- Hundreds: 8 – 3 = 5
✔ Answer: 573
---
Problem 9: 745 – 467
```
745
- 467
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 3)
- Tens: 3 – 6 → borrow → 13 – 6 = 7 (hundreds becomes 6)
- Hundreds: 6 – 4 = 2
✔ Answer: 278
---
Problem 10: 823 – 645
```
823
- 645
-----
```
- Ones: 3 – 5 → borrow → 13 – 5 = 8 (tens becomes 1)
- Tens: 1 – 4 → borrow → 11 – 4 = 7 (hundreds becomes 7)
- Hundreds: 7 – 6 = 1
✔ Answer: 178
---
Problem 11: 555 – 487
```
555
- 487
-----
```
- Ones: 5 – 7 → borrow → 15 – 7 = 8 (tens becomes 4)
- Tens: 4 – 8 → borrow → 14 – 8 = 6 (hundreds becomes 4)
- Hundreds: 4 – 4 = 0
✔ Answer: 68 (Note: Leading zero not written)
---
Problem 12: 410 – 362
```
410
- 362
-----
```
- Ones: 0 – 2 → borrow → 10 – 2 = 8 (tens becomes 0)
- Tens: 0 – 6 → borrow → 10 – 6 = 4 (hundreds becomes 3)
- Hundreds: 3 – 3 = 0
✔ Answer: 48
---
Problem 13: 926 – 895
```
926
- 895
-----
```
- Ones: 6 – 5 = 1
- Tens: 2 – 9 → borrow → 12 – 9 = 3 (hundreds becomes 8)
- Hundreds: 8 – 8 = 0
✔ Answer: 31
---
Problem 14: 568 – 129
```
568
- 129
-----
```
- Ones: 8 – 9 → borrow → 18 – 9 = 9 (tens becomes 5)
- Tens: 5 – 2 = 3
- Hundreds: 5 – 1 = 4
✔ Answer: 439
---
## ✔ Final Answers (in order):
| 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 |
---
📌 Tip: Always start from the ones place, and if the top digit is smaller than the bottom, regroup (borrow) from the next higher place value — even if you have to go through zeros!
Let me know if you’d like to see any problem worked out visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of 3 digit subtraction worksheet 3rd.