Add and Subtract Two 6-Digit Numbers with Regrouping: Vertical ... - Free Printable

Let’s solve each problem one by one. We’ll do addition and subtraction with regrouping (also called carrying or borrowing), just like in school.

---

Problem 1: Add 169,147 + 239,491

Start from the rightmost digit:

- 7 + 1 = 8 → write 8
- 4 + 9 = 13 → write 3, carry 1
- 1 + 4 + 1 (carry) = 6 → write 6
- 9 + 9 = 18 → write 8, carry 1
- 6 + 3 + 1 (carry) = 10 → write 0, carry 1
- 1 + 2 + 1 (carry) = 4 → write 4

Result: 408,638

✔ Check: 169147 + 239491 = 408638 — correct.

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Problem 2: Add 112,991 + 521,822

Right to left:

- 1 + 2 = 3
- 9 + 2 = 11 → write 1, carry 1
- 9 + 8 + 1 = 18 → write 8, carry 1
- 2 + 1 + 1 = 4
- 1 + 2 = 3
- 1 + 5 = 6

Result: 634,813

✔ Check: 112991 + 521822 = 634813 — correct.

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Problem 3: Add 441,758 + 141,491

Right to left:

- 8 + 1 = 9
- 5 + 9 = 14 → write 4, carry 1
- 7 + 4 + 1 = 12 → write 2, carry 1
- 1 + 1 + 1 = 3
- 4 + 4 = 8
- 4 + 1 = 5

Result: 583,249

✔ Check: 441758 + 141491 = 583249 — correct.

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Problem 4: Add 686,194 + 166,041

Right to left:

- 4 + 1 = 5
- 9 + 4 = 13 → write 3, carry 1
- 1 + 0 + 1 = 2
- 6 + 6 = 12 → write 2, carry 1
- 8 + 6 + 1 = 15 → write 5, carry 1
- 6 + 1 + 1 = 8

Result: 852,235

✔ Check: 686194 + 166041 = 852235 — correct.

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Problem 5: Subtract 979,049 - 498,199

Right to left:

- 9 - 9 = 0
- 4 - 9 → can’t do, borrow → 14 - 9 = 5 (tens place becomes 3)
- 3 (after borrow) - 1 = 2? Wait — let’s be careful.

Actually, better to line up:

```
979049
- 498199
--------
```

Start from right:

- Units: 9 - 9 = 0
- Tens: 4 - 9 → borrow from hundreds → 14 - 9 = 5; hundreds digit was 0 → now need to borrow from thousands.
Hundreds is 0 → so go to thousands (9). Borrow 1 → thousands become 8, hundreds become 10. But we need to borrow for tens → so hundreds become 9, tens become 14.

So:

Tens: 14 - 9 = 5
Hundreds: 9 (after lending) - 1 = 8
Thousands: 8 (after lending) - 8 = 0
Ten-thousands: 7 - 9 → can’t do → borrow from hundred-thousands (9 → 8), ten-thousands become 17 → 17 - 9 = 8
Hundred-thousands: 8 - 4 = 4

Wait — let me recalculate carefully:

Write it out:

```
979049
- 498199
----------
```

Step-by-step:

Units: 9 - 9 = 0
Tens: 4 < 9 → borrow from hundreds. Hundreds is 0 → so borrow from thousands. Thousands is 9 → becomes 8, hundreds becomes 10. Now borrow from hundreds for tens: hundreds becomes 9, tens becomes 14. So 14 - 9 = 5.
Hundreds: 9 - 1 = 8
Thousands: 8 (was 9, lent 1) - 8 = 0
Ten-thousands: 7 - 9 → can’t → borrow from hundred-thousands (9 → 8), ten-thousands becomes 17 → 17 - 9 = 8
Hundred-thousands: 8 - 4 = 4

Result: 480,850

✔ Check: 498199 + 480850 = 979049 — yes! Correct.

---

Problem 6: Subtract 682,909 - 335,477

```
682909
- 335477
--------
```

Units: 9 - 7 = 2
Tens: 0 - 7 → can’t → borrow from hundreds. Hundreds is 9 → becomes 8, tens becomes 10 → 10 - 7 = 3
Hundreds: 8 - 4 = 4
Thousands: 2 - 5 → can’t → borrow from ten-thousands (8 → 7), thousands becomes 12 → 12 - 5 = 7
Ten-thousands: 7 - 3 = 4
Hundred-thousands: 6 - 3 = 3

Result: 347,432

✔ Check: 335477 + 347432 = 682909 — yes! Correct.

---

Problem 7: Subtract 372,886 - 278,891

```
372886
- 278891
--------
```

Units: 6 - 1 = 5
Tens: 8 - 9 → can’t → borrow from hundreds. Hundreds is 8 → becomes 7, tens becomes 18 → 18 - 9 = 9
Hundreds: 7 - 8 → can’t → borrow from thousands. Thousands is 2 → becomes 1, hundreds becomes 17 → 17 - 8 = 9
Thousands: 1 - 8 → can’t → borrow from ten-thousands (7 → 6), thousands becomes 11 → 11 - 8 = 3
Ten-thousands: 6 - 7 → can’t → borrow from hundred-thousands (3 → 2), ten-thousands becomes 16 → 16 - 7 = 9
Hundred-thousands: 2 - 2 = 0 → but since it’s leading zero, we don’t write it.

Wait — result would be 093,995? That doesn’t make sense — let’s check:

Actually:

After all borrows:

Hundred-thousands: 3 became 2 after lending to ten-thousands → 2 - 2 = 0 → skip
Ten-thousands: 7 became 6 after lending → then borrowed again? Let’s redo step by step:

Better:

```
372886
- 278891
--------
```

Units: 6 - 1 = 5
Tens: 8 - 9 → borrow → 18 - 9 = 9; hundreds was 8 → now 7
Hundreds: 7 - 8 → borrow → 17 - 8 = 9; thousands was 2 → now 1
Thousands: 1 - 8 → borrow → 11 - 8 = 3; ten-thousands was 7 → now 6
Ten-thousands: 6 - 7 → borrow → 16 - 7 = 9; hundred-thousands was 3 → now 2
Hundred-thousands: 2 - 2 = 0 → ignore

So digits: 0 (skip), 9, 3, 9, 9, 5 → 93,995

✔ Check: 278891 + 93995 = 372886 — yes! Correct.

---

Problem 8: Subtract 929,422 - 688,870

```
929422
- 688870
--------
```

Units: 2 - 0 = 2
Tens: 2 - 7 → can’t → borrow from hundreds. Hundreds is 4 → becomes 3, tens becomes 12 → 12 - 7 = 5
Hundreds: 3 - 8 → can’t → borrow from thousands. Thousands is 9 → becomes 8, hundreds becomes 13 → 13 - 8 = 5
Thousands: 8 - 8 = 0
Ten-thousands: 2 - 8 → can’t → borrow from hundred-thousands (9 → 8), ten-thousands becomes 12 → 12 - 8 = 4
Hundred-thousands: 8 - 6 = 2

Result: 240,552

✔ Check: 688870 + 240552 = 929422 — yes! Correct.

---

Final Answers:

1. 169147 + 239491 = 408638
2. 112991 + 521822 = 634813
3. 441758 + 141491 = 583249
4. 686194 + 166041 = 852235
5. 979049 - 498199 = 480850
6. 682909 - 335477 = 347432
7. 372886 - 278891 = 93995
8. 929422 - 688870 = 240552

──────────────────────────────────────

Final Answer:
408638, 634813, 583249, 852235, 480850, 347432, 93995, 240552