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
Absolutely! Let’s solve each of the Three-Digit Subtraction With Regrouping problems step by step. I’ll explain the regrouping (borrowing) process clearly for each problem.
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We start from the right (ones place):
- Ones place: 1 – 3 → Can’t do, so borrow from tens.
- Tens digit is 4 → becomes 3, ones becomes 11.
- 11 – 3 = 8
- Tens place: 3 – 6 → Can’t do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens becomes 13.
- 13 – 6 = 7
- Hundreds place: 2 – 1 = 1
✔ Answer: 178
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- Ones: 5 – 7 → Borrow from tens.
- Tens: 3 → 2, ones: 15
- 15 – 7 = 8
- Tens: 2 – 4 → Borrow from hundreds.
- Hundreds: 6 → 5, tens: 12
- 12 – 4 = 8
- Hundreds: 5 – 2 = 3
✔ Answer: 388
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- Ones: 7 – 9 → Borrow from tens.
- But tens is 0 → need to borrow from hundreds first.
- Hundreds: 6 → 5, tens: 10 → then borrow 1 for ones → tens becomes 9, ones becomes 17.
- 17 – 9 = 8
- Tens: 9 – 7 = 2
- Hundreds: 5 – 3 = 2
✔ Answer: 228
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- Ones: 3 – 6 → Borrow from tens.
- Tens is 0 → borrow from hundreds.
- Hundreds: 8 → 7, tens: 10 → borrow 1 → tens becomes 9, ones becomes 13.
- 13 – 6 = 7
- Tens: 9 – 5 = 4
- Hundreds: 7 – 4 = 3
✔ Answer: 347
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- Ones: 4 – 5 → Borrow from tens.
- Tens is 0 → borrow from hundreds.
- Hundreds: 9 → 8, tens: 10 → borrow 1 → tens becomes 9, ones becomes 14.
- 14 – 5 = 9
- Tens: 9 – 9 = 0
- Hundreds: 8 – 4 = 4
✔ Answer: 409
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- Ones: 0 – 3 → Borrow from tens.
- Tens: 1 → 0, ones: 10
- 10 – 3 = 7
- Tens: 0 – 7 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 10
- 10 – 7 = 3
- Hundreds: 4 – 3 = 1
✔ Answer: 137
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- Ones: 1 – 7 → Borrow from tens.
- Tens: 3 → 2, ones: 11
- 11 – 7 = 4
- Tens: 2 – 6 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 12
- 12 – 6 = 6
- Hundreds: 4 – 3 = 1
✔ Answer: 164
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- Ones: 2 – 9 → Borrow from tens.
- Tens: 6 → 5, ones: 12
- 12 – 9 = 3
- Tens: 5 – 8 → Borrow from hundreds.
- Hundreds: 9 → 8, tens: 15
- 15 – 8 = 7
- Hundreds: 8 – 3 = 5
✔ Answer: 573
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- Ones: 5 – 7 → Borrow from tens.
- Tens: 4 → 3, ones: 15
- 15 – 7 = 8
- Tens: 3 – 6 → Borrow from hundreds.
- Hundreds: 7 → 6, tens: 13
- 13 – 6 = 7
- Hundreds: 6 – 4 = 2
✔ Answer: 278
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- Ones: 3 – 5 → Borrow from tens.
- Tens: 2 → 1, ones: 13
- 13 – 5 = 8
- Tens: 1 – 4 → Borrow from hundreds.
- Hundreds: 8 → 7, tens: 11
- 11 – 4 = 7
- Hundreds: 7 – 6 = 1
✔ Answer: 178
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- Ones: 5 – 7 → Borrow from tens.
- Tens: 5 → 4, ones: 15
- 15 – 7 = 8
- Tens: 4 – 8 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 14
- 14 – 8 = 6
- Hundreds: 4 – 4 = 0
✔ Answer: 68 *(Note: Leading zero not written)*
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- Ones: 0 – 2 → Borrow from tens.
- Tens: 1 → 0, ones: 10
- 10 – 2 = 8
- Tens: 0 – 6 → Borrow from hundreds.
- Hundreds: 4 → 3, tens: 10
- 10 – 6 = 4
- Hundreds: 3 – 3 = 0
✔ Answer: 48
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- Ones: 6 – 5 = 1
- Tens: 2 – 9 → Borrow from hundreds.
- Hundreds: 9 → 8, tens: 12
- 12 – 9 = 3
- Hundreds: 8 – 8 = 0
✔ Answer: 31
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- Ones: 8 – 9 → Borrow from tens.
- Tens: 6 → 5, ones: 18
- 18 – 9 = 9
- Tens: 5 – 2 = 3
- Hundreds: 5 – 1 = 4
✔ Answer: 439
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## ✔ Final Answers (in order, left to right, top to bottom):
| 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 |
---
💡 Key Tip for Regrouping: Always start from the rightmost digit (ones) and move left. If a digit in the top number is smaller than the bottom, borrow 1 from the next higher place value, which turns into 10 in the current place.
Let me know if you’d like a visual diagram or worksheet with answers filled in! 📝
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🔢 Problem 1: 341 – 163
We start from the right (ones place):
- Ones place: 1 – 3 → Can’t do, so borrow from tens.
- Tens digit is 4 → becomes 3, ones becomes 11.
- 11 – 3 = 8
- Tens place: 3 – 6 → Can’t do, borrow from hundreds.
- Hundreds digit is 3 → becomes 2, tens becomes 13.
- 13 – 6 = 7
- Hundreds place: 2 – 1 = 1
✔ Answer: 178
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🔢 Problem 2: 635 – 247
- Ones: 5 – 7 → Borrow from tens.
- Tens: 3 → 2, ones: 15
- 15 – 7 = 8
- Tens: 2 – 4 → Borrow from hundreds.
- Hundreds: 6 → 5, tens: 12
- 12 – 4 = 8
- Hundreds: 5 – 2 = 3
✔ Answer: 388
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🔢 Problem 3: 607 – 379
- Ones: 7 – 9 → Borrow from tens.
- But tens is 0 → need to borrow from hundreds first.
- Hundreds: 6 → 5, tens: 10 → then borrow 1 for ones → tens becomes 9, ones becomes 17.
- 17 – 9 = 8
- Tens: 9 – 7 = 2
- Hundreds: 5 – 3 = 2
✔ Answer: 228
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🔢 Problem 4: 803 – 456
- Ones: 3 – 6 → Borrow from tens.
- Tens is 0 → borrow from hundreds.
- Hundreds: 8 → 7, tens: 10 → borrow 1 → tens becomes 9, ones becomes 13.
- 13 – 6 = 7
- Tens: 9 – 5 = 4
- Hundreds: 7 – 4 = 3
✔ Answer: 347
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🔢 Problem 5: 904 – 495
- Ones: 4 – 5 → Borrow from tens.
- Tens is 0 → borrow from hundreds.
- Hundreds: 9 → 8, tens: 10 → borrow 1 → tens becomes 9, ones becomes 14.
- 14 – 5 = 9
- Tens: 9 – 9 = 0
- Hundreds: 8 – 4 = 4
✔ Answer: 409
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🔢 Problem 6: 510 – 373
- Ones: 0 – 3 → Borrow from tens.
- Tens: 1 → 0, ones: 10
- 10 – 3 = 7
- Tens: 0 – 7 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 10
- 10 – 7 = 3
- Hundreds: 4 – 3 = 1
✔ Answer: 137
---
🔢 Problem 7: 531 – 367
- Ones: 1 – 7 → Borrow from tens.
- Tens: 3 → 2, ones: 11
- 11 – 7 = 4
- Tens: 2 – 6 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 12
- 12 – 6 = 6
- Hundreds: 4 – 3 = 1
✔ Answer: 164
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🔢 Problem 8: 962 – 389
- Ones: 2 – 9 → Borrow from tens.
- Tens: 6 → 5, ones: 12
- 12 – 9 = 3
- Tens: 5 – 8 → Borrow from hundreds.
- Hundreds: 9 → 8, tens: 15
- 15 – 8 = 7
- Hundreds: 8 – 3 = 5
✔ Answer: 573
---
🔢 Problem 9: 745 – 467
- Ones: 5 – 7 → Borrow from tens.
- Tens: 4 → 3, ones: 15
- 15 – 7 = 8
- Tens: 3 – 6 → Borrow from hundreds.
- Hundreds: 7 → 6, tens: 13
- 13 – 6 = 7
- Hundreds: 6 – 4 = 2
✔ Answer: 278
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🔢 Problem 10: 823 – 645
- Ones: 3 – 5 → Borrow from tens.
- Tens: 2 → 1, ones: 13
- 13 – 5 = 8
- Tens: 1 – 4 → Borrow from hundreds.
- Hundreds: 8 → 7, tens: 11
- 11 – 4 = 7
- Hundreds: 7 – 6 = 1
✔ Answer: 178
---
🔢 Problem 11: 555 – 487
- Ones: 5 – 7 → Borrow from tens.
- Tens: 5 → 4, ones: 15
- 15 – 7 = 8
- Tens: 4 – 8 → Borrow from hundreds.
- Hundreds: 5 → 4, tens: 14
- 14 – 8 = 6
- Hundreds: 4 – 4 = 0
✔ Answer: 68 *(Note: Leading zero not written)*
---
🔢 Problem 12: 410 – 362
- Ones: 0 – 2 → Borrow from tens.
- Tens: 1 → 0, ones: 10
- 10 – 2 = 8
- Tens: 0 – 6 → Borrow from hundreds.
- Hundreds: 4 → 3, tens: 10
- 10 – 6 = 4
- Hundreds: 3 – 3 = 0
✔ Answer: 48
---
🔢 Problem 13: 926 – 895
- Ones: 6 – 5 = 1
- Tens: 2 – 9 → Borrow from hundreds.
- Hundreds: 9 → 8, tens: 12
- 12 – 9 = 3
- Hundreds: 8 – 8 = 0
✔ Answer: 31
---
🔢 Problem 14: 568 – 129
- Ones: 8 – 9 → Borrow from tens.
- Tens: 6 → 5, ones: 18
- 18 – 9 = 9
- Tens: 5 – 2 = 3
- Hundreds: 5 – 1 = 4
✔ Answer: 439
---
## ✔ Final Answers (in order, left to right, top to bottom):
| 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 |
---
💡 Key Tip for Regrouping: Always start from the rightmost digit (ones) and move left. If a digit in the top number is smaller than the bottom, borrow 1 from the next higher place value, which turns into 10 in the current place.
Let me know if you’d like a visual diagram or worksheet with answers filled in! 📝
Parent Tip: Review the logic above to help your child master the concept of 3 digit subtraction regrouping worksheet 2nd grade.
