Subtraction with Regrouping: 3,702 − 1,234
Subtraction with Regrouping Calculator
What is 3,702 − 1,234?
Answer
3,702 − 1,234 =
2,468
With regrouping across a zero: 2 borrows — there are no tens to borrow from, so 1 hundred becomes 10 tens, and 1 ten goes to the ones
| 6 | 9 | +10 | ||
| 3 | 2 (was 2, now 12) | |||
| − | 1 | 2 | 3 | 4 |
| 2 | 4 | 6 | 8 |
Column by column: 3,702 − 1,234
- Ones: 2 is less than 4 — borrow 1 hundred across the zero: hundreds 7 → 6, tens 0 → 9; 12 − 4 = 8 — write 8.
- Tens: after borrowing, 9; 9 − 3 = 6 — write 6.
- Hundreds: after borrowing, 6; 6 − 2 = 4 — write 4.
- Thousands: 3 − 1 = 2 — write 2.
3,702 − 1,234 = 2,468
Second check: 3,702 − 2,468 = 1,234
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Column subtractions of 1,234
FAQ
What is 3,702 − 1,234?
3,702 − 1,234 = 2,468
How do you check that 3,702 − 1,234 = 2,468?
Add the difference and the subtrahend: 2,468 + 1,234 = 3,702. Getting the minuend back means the difference is right.
How many times do you borrow in 3,702 − 1,234?
2 borrows: each time the top digit was smaller than the one below it, 1 was borrowed from the column on the left.
Why does 0 become 9 when borrowing in 3,702 − 1,234?
The zero has nothing to lend, so it first borrows 1 from its left neighbour and becomes 10; then it lends 1 to the column on its right and keeps 9.
See Also
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