Subtraction with Regrouping: 1,005 − 427

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,005 − 427?

Answer

1,005 − 427 =
578

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

1,005 − 427 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.
099+10
1(was 1, now 0)0(was 0, now 9)0(was 0, now 9)5 (was 5, now 15)
−427
578

Column by column: 1,005 − 427

  • Ones: 5 is less than 7 — borrow 1 thousand across the zero: thousands 1 → 0, hundreds 0 → 9, tens 0 → 9; 15 − 7 = 8 — write 8.
  • Tens: after borrowing, 9; 9 − 2 = 7 — write 7.
  • Hundreds: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,005 − 427 = 578

Second check: 1,005 − 578 = 427

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Recalculate with different values ↑

Column subtractions of 427

ExampleDifference
1,000 − 427573
1,001 − 427574
1,002 − 427575
1,003 − 427576
1,004 − 427577
1,005 − 427578
1,006 − 427579
1,007 − 427580
1,008 − 427581
1,009 − 427582
1,010 − 427583

FAQ

What is 1,005 − 427?

1,005 − 427 = 578

How do you check that 1,005 − 427 = 578?

Add the difference and the subtrahend: 578 + 427 = 1,005. Getting the minuend back means the difference is right.

How many times do you borrow in 1,005 − 427?

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 1,005 − 427?

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