Subtraction with Regrouping: 10,292 − 3,579

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 10,292 − 3,579?

Answer

10,292 − 3,579 =
6,713

With regrouping across a zero: 3 borrows — there are no thousands to borrow from, so 1 ten thousand becomes 10 thousands, and 1 thousand goes to the hundreds

10,292 − 3,579 in a column. Above the columns: the values after borrowing — a crossed-out digit is replaced by the number above it; +10 marks a column that received a borrowed ten.
09+108+10
1(was 1, now 0)0(was 0, now 9)2 (was 2, now 12)9(was 9, now 8)2 (was 2, now 12)
−3579
6713

Column by column: 10,292 − 3,579

  • Ones: 2 is less than 9 — borrow 1 ten: tens 9 → 8; 12 − 9 = 3 — write 3.
  • Tens: after borrowing, 8; 8 − 7 = 1 — write 1.
  • Hundreds: 2 is less than 5 — borrow 1 ten thousand across the zero: ten thousands 1 → 0, thousands 0 → 9; 12 − 5 = 7 — write 7.
  • Thousands: after borrowing, 9; 9 − 3 = 6 — write 6.
  • Ten thousands: after borrowing, 0 — a leading zero is not written.

10,292 − 3,579 = 6,713

Second check: 10,292 − 6,713 = 3,579

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Column subtractions of 3,579

ExampleDifference
10,287 − 3,5796,708
10,288 − 3,5796,709
10,289 − 3,5796,710
10,290 − 3,5796,711
10,291 − 3,5796,712
10,292 − 3,5796,713
10,293 − 3,5796,714
10,294 − 3,5796,715
10,295 − 3,5796,716
10,296 − 3,5796,717
10,297 − 3,5796,718

FAQ

What is 10,292 − 3,579?

10,292 − 3,579 = 6,713

How do you check that 10,292 − 3,579 = 6,713?

Add the difference and the subtrahend: 6,713 + 3,579 = 10,292. Getting the minuend back means the difference is right.

How many times do you borrow in 10,292 − 3,579?

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 10,292 − 3,579?

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