Subtraction with Regrouping: 51,802 − 6,713
Subtraction with Regrouping Calculator
What is 51,802 − 6,713?
Answer
51,802 − 6,713 =
45,089
With regrouping across a zero: 3 borrows — there are no tens to borrow from, so 1 hundred becomes 10 tens, and 1 ten goes to the ones
| 4 | +10 | 7 | 9 | +10 | |
| 1 (was 1, now 11) | 2 (was 2, now 12) | ||||
| − | 6 | 7 | 1 | 3 | |
| 4 | 5 | 0 | 8 | 9 |
Column by column: 51,802 − 6,713
- Ones: 2 is less than 3 — borrow 1 hundred across the zero: hundreds 8 → 7, tens 0 → 9; 12 − 3 = 9 — write 9.
- Tens: after borrowing, 9; 9 − 1 = 8 — write 8.
- Hundreds: after borrowing, 7; 7 − 7 = 0 — write 0.
- Thousands: 1 is less than 6 — borrow 1 ten thousand: ten thousands 5 → 4; 11 − 6 = 5 — write 5.
- Ten thousands: after borrowing, 4; nothing to subtract — write 4.
51,802 − 6,713 = 45,089
Second check: 51,802 − 45,089 = 6,713
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- Addition with Regrouping Calculator - Column addition step by step, with every carry
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- Long Multiplication Calculator - Column multiplication with partial products, step by step
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Column subtractions of 6,713
| Example | Difference |
|---|---|
| 51,797 − 6,713 | 45,084 |
| 51,798 − 6,713 | 45,085 |
| 51,799 − 6,713 | 45,086 |
| 51,800 − 6,713 | 45,087 |
| 51,801 − 6,713 | 45,088 |
| 51,802 − 6,713 | 45,089 |
| 51,803 − 6,713 | 45,090 |
| 51,804 − 6,713 | 45,091 |
| 51,805 − 6,713 | 45,092 |
| 51,806 − 6,713 | 45,093 |
| 51,807 − 6,713 | 45,094 |
FAQ
What is 51,802 − 6,713?
51,802 − 6,713 = 45,089
How do you check that 51,802 − 6,713 = 45,089?
Add the difference and the subtrahend: 45,089 + 6,713 = 51,802. Getting the minuend back means the difference is right.
How many times do you borrow in 51,802 − 6,713?
3 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 51,802 − 6,713?
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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