Subtraction with Regrouping: 10,000 − 578

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 10,000 − 578?

Answer

10,000 − 578 =
9,422

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 − 578 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)
−578
9422

Column by column: 10,000 − 578

  • Ones: 0 is less than 8 — borrow 1 ten thousand across the zero: ten thousands 1 → 0, thousands 0 → 9, hundreds 0 → 9, tens 0 → 9; 10 − 8 = 2 — write 2.
  • Tens: after borrowing, 9; 9 − 7 = 2 — write 2.
  • Hundreds: after borrowing, 9; 9 − 5 = 4 — write 4.
  • Thousands: after borrowing, 9; nothing to subtract — write 9.
  • Ten thousands: after borrowing, 0 — a leading zero is not written.

10,000 − 578 = 9,422

Second check: 10,000 − 9,422 = 578

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FAQ

What is 10,000 − 578?

10,000 − 578 = 9,422

How do you check that 10,000 − 578 = 9,422?

Add the difference and the subtrahend: 9,422 + 578 = 10,000. Getting the minuend back means the difference is right.

How many times do you borrow in 10,000 − 578?

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 − 578?

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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