Subtraction with Regrouping: 130,169 − 6,713
Subtraction with Regrouping Calculator
What is 130,169 − 6,713?
Answer
130,169 − 6,713 =
123,456
With regrouping across a zero: 2 borrows — there are no thousands to borrow from, so 1 ten thousand becomes 10 thousands, and 1 thousand goes to the hundreds
| 2 | 9 | +10 | ||||
| 1 | 1 (was 1, now 11) | 6 | 9 | |||
| − | 6 | 7 | 1 | 3 | ||
| 1 | 2 | 3 | 4 | 5 | 6 |
Column by column: 130,169 − 6,713
- Ones: 9 − 3 = 6 — write 6.
- Tens: 6 − 1 = 5 — write 5.
- Hundreds: 1 is less than 7 — borrow 1 ten thousand across the zero: ten thousands 3 → 2, thousands 0 → 9; 11 − 7 = 4 — write 4.
- Thousands: after borrowing, 9; 9 − 6 = 3 — write 3.
- Ten thousands: after borrowing, 2; nothing to subtract — write 2.
- Hundred thousands: nothing to subtract — write 1.
130,169 − 6,713 = 123,456
Second check: 130,169 − 123,456 = 6,713
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- Addition with Regrouping Calculator - Column addition step by step, with every carry
- Long Division Calculator - Step-by-step long division with detailed explanation
- Long Multiplication Calculator - Column multiplication with partial products, step by step
- Subtracting Fractions Calculator - Subtract fractions, mixed numbers and whole numbers step by step
Column subtractions of 6,713
| Example | Difference |
|---|---|
| 130,164 − 6,713 | 123,451 |
| 130,165 − 6,713 | 123,452 |
| 130,166 − 6,713 | 123,453 |
| 130,167 − 6,713 | 123,454 |
| 130,168 − 6,713 | 123,455 |
| 130,169 − 6,713 | 123,456 |
| 130,170 − 6,713 | 123,457 |
| 130,171 − 6,713 | 123,458 |
| 130,172 − 6,713 | 123,459 |
| 130,173 − 6,713 | 123,460 |
| 130,174 − 6,713 | 123,461 |
FAQ
What is 130,169 − 6,713?
130,169 − 6,713 = 123,456
How do you check that 130,169 − 6,713 = 123,456?
Add the difference and the subtrahend: 123,456 + 6,713 = 130,169. Getting the minuend back means the difference is right.
How many times do you borrow in 130,169 − 6,713?
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 130,169 − 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.
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