Subtraction with Regrouping: 1,046 − 468

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,046 − 468?

Answer

1,046 − 468 =
578

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

1,046 − 468 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.
0913+10
1(was 1, now 0)0(was 0, now 9)4(was 4, now 13)6 (was 6, now 16)
−468
578

Column by column: 1,046 − 468

  • Ones: 6 is less than 8 — borrow 1 ten: tens 4 → 3; 16 − 8 = 8 — write 8.
  • Tens: after borrowing, 3; 3 is less than 6 — borrow 1 thousand across the zero: thousands 1 → 0, hundreds 0 → 9; 13 − 6 = 7 — write 7.
  • Hundreds: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,046 − 468 = 578

Second check: 1,046 − 578 = 468

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Column subtractions of 468

ExampleDifference
1,041 − 468573
1,042 − 468574
1,043 − 468575
1,044 − 468576
1,045 − 468577
1,046 − 468578
1,047 − 468579
1,048 − 468580
1,049 − 468581
1,050 − 468582
1,051 − 468583

FAQ

What is 1,046 − 468?

1,046 − 468 = 578

How do you check that 1,046 − 468 = 578?

Add the difference and the subtrahend: 578 + 468 = 1,046. Getting the minuend back means the difference is right.

How many times do you borrow in 1,046 − 468?

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 1,046 − 468?

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