Subtraction with Regrouping: 2,000 − 578

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 2,000 − 578?

Answer

2,000 − 578 =
1,422

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

2,000 − 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.
199+10
2(was 2, now 1)0(was 0, now 9)0(was 0, now 9)0 (was 0, now 10)
−578
1422

Column by column: 2,000 − 578

  • Ones: 0 is less than 8 — borrow 1 thousand across the zero: thousands 2 → 1, 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, 1; nothing to subtract — write 1.

2,000 − 578 = 1,422

Second check: 2,000 − 1,422 = 578

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FAQ

What is 2,000 − 578?

2,000 − 578 = 1,422

How do you check that 2,000 − 578 = 1,422?

Add the difference and the subtrahend: 1,422 + 578 = 2,000. Getting the minuend back means the difference is right.

How many times do you borrow in 2,000 − 578?

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 2,000 − 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.

See Also