Subtraction with Regrouping: 10,000 − 63

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 10,000 − 63?

Answer

10,000 − 63 =
9,937

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 − 63 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)
−63
9937

Column by column: 10,000 − 63

  • 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 − 6 = 3 — write 3.
  • 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 − 63 = 9,937

Second check: 10,000 − 9,937 = 63

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Column subtractions of 63

ExampleDifference
266 − 63203
300 − 63237
302 − 63239
331 − 63268
370 − 63307
411 − 63348
439 − 63376
465 − 63402
516 − 63453
548 − 63485
599 − 63536
641 − 63578
700 − 63637
710 − 63647
800 − 63737
900 − 63837
1,000 − 63937
2,000 − 631,937
5,000 − 634,937
10,000 − 639,937

FAQ

What is 10,000 − 63?

10,000 − 63 = 9,937

How do you check that 10,000 − 63 = 9,937?

Add the difference and the subtrahend: 9,937 + 63 = 10,000. Getting the minuend back means the difference is right.

How many times do you borrow in 10,000 − 63?

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 − 63?

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