Subtraction with Regrouping: 1,000 − 268

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,000 − 268?

Answer

1,000 − 268 =
732

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

1,000 − 268 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)0 (was 0, now 10)
−268
732

Column by column: 1,000 − 268

  • Ones: 0 is less than 8 — borrow 1 thousand across the zero: thousands 1 → 0, hundreds 0 → 9, tens 0 → 9; 10 − 8 = 2 — write 2.
  • Tens: after borrowing, 9; 9 − 6 = 3 — write 3.
  • Hundreds: after borrowing, 9; 9 − 2 = 7 — write 7.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,000 − 268 = 732

Second check: 1,000 − 732 = 268

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Column subtractions of 268

ExampleDifference
657 − 268389
670 − 268402
695 − 268427
700 − 268432
721 − 268453
736 − 268468
753 − 268485
787 − 268519
800 − 268532
804 − 268536
832 − 268564
846 − 268578
870 − 268602
900 − 268632
915 − 268647
951 − 268683
1,000 − 268732
2,000 − 2681,732
5,000 − 2684,732
10,000 − 2689,732

FAQ

What is 1,000 − 268?

1,000 − 268 = 732

How do you check that 1,000 − 268 = 732?

Add the difference and the subtrahend: 732 + 268 = 1,000. Getting the minuend back means the difference is right.

How many times do you borrow in 1,000 − 268?

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 1,000 − 268?

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