Subtraction with Regrouping: 10,000 − 23

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 10,000 − 23?

Answer

10,000 − 23 =
9,977

With regrouping across zeros: 4 borrows — 3 zeros in a row, so 1 ten thousand is passed down, each zero becomes 9, and 1 ten goes to the ones

10,000 − 23 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.
0999+10
1(was 1, now 0)0(was 0, now 9)0(was 0, now 9)0(was 0, now 9)0 (was 0, now 10)
−23
9977

Column by column: 10,000 − 23

  • Ones: 0 is less than 3 — borrow 1 ten thousand across the zero: ten thousands 1 → 0, thousands 0 → 9, hundreds 0 → 9, tens 0 → 9; 10 − 3 = 7 — write 7.
  • Tens: after borrowing, 9; 9 − 2 = 7 — write 7.
  • Hundreds: after borrowing, 9; nothing to subtract — write 9.
  • Thousands: after borrowing, 9; nothing to subtract — write 9.
  • Ten thousands: after borrowing, 0 — a leading zero is not written.

10,000 − 23 = 9,977

Second check: 10,000 − 9,977 = 23

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Column subtractions of 23

ExampleDifference
226 − 23203
262 − 23239
291 − 23268
300 − 23277
330 − 23307
371 − 23348
399 − 23376
425 − 23402
476 − 23453
508 − 23485
559 − 23536
601 − 23578
670 − 23647
700 − 23677
800 − 23777
900 − 23877
1,000 − 23977
2,000 − 231,977
5,000 − 234,977
10,000 − 239,977

FAQ

What is 10,000 − 23?

10,000 − 23 = 9,977

How do you check that 10,000 − 23 = 9,977?

Add the difference and the subtrahend: 9,977 + 23 = 10,000. Getting the minuend back means the difference is right.

How many times do you borrow in 10,000 − 23?

4 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 10,000 − 23?

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