Subtraction with Regrouping: 35,801 − 12,345

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 35,801 − 12,345?

Answer

35,801 − 12,345 =
23,456

With regrouping across a zero: 2 borrows — there are no tens to borrow from, so 1 hundred becomes 10 tens, and 1 ten goes to the ones

35,801 − 12,345 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.
79+10
3 5 8(was 8, now 7)0(was 0, now 9)1 (was 1, now 11)
−12345
23456

Column by column: 35,801 − 12,345

  • Ones: 1 is less than 5 — borrow 1 hundred across the zero: hundreds 8 → 7, tens 0 → 9; 11 − 5 = 6 — write 6.
  • Tens: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Hundreds: after borrowing, 7; 7 − 3 = 4 — write 4.
  • Thousands: 5 − 2 = 3 — write 3.
  • Ten thousands: 3 − 1 = 2 — write 2.

35,801 − 12,345 = 23,456

Second check: 35,801 − 23,456 = 12,345

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Column subtractions of 12,345

ExampleDifference
35,796 − 12,34523,451
35,797 − 12,34523,452
35,798 − 12,34523,453
35,799 − 12,34523,454
35,800 − 12,34523,455
35,801 − 12,34523,456
35,802 − 12,34523,457
35,803 − 12,34523,458
35,804 − 12,34523,459
35,805 − 12,34523,460
35,806 − 12,34523,461

FAQ

What is 35,801 − 12,345?

35,801 − 12,345 = 23,456

How do you check that 35,801 − 12,345 = 23,456?

Add the difference and the subtrahend: 23,456 + 12,345 = 35,801. Getting the minuend back means the difference is right.

How many times do you borrow in 35,801 − 12,345?

2 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 35,801 − 12,345?

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