Subtraction with Regrouping: 135,801 − 12,345

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 135,801 − 12,345?

Answer

135,801 − 12,345 =
123,456

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

135,801 − 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
1 3 5 8(was 8, now 7)0(was 0, now 9)1 (was 1, now 11)
−12345
123456

Column by column: 135,801 − 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.
  • Hundred thousands: nothing to subtract — write 1.

135,801 − 12,345 = 123,456

Second check: 135,801 − 123,456 = 12,345

Similar examples to practise

See Also

Column subtractions of 12,345

ExampleDifference
135,796 − 12,345123,451
135,797 − 12,345123,452
135,798 − 12,345123,453
135,799 − 12,345123,454
135,800 − 12,345123,455
135,801 − 12,345123,456
135,802 − 12,345123,457
135,803 − 12,345123,458
135,804 − 12,345123,459
135,805 − 12,345123,460
135,806 − 12,345123,461

FAQ

What is 135,801 − 12,345?

135,801 − 12,345 = 123,456

How do you check that 135,801 − 12,345 = 123,456?

Add the difference and the subtrahend: 123,456 + 12,345 = 135,801. Getting the minuend back means the difference is right.

How many times do you borrow in 135,801 − 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 135,801 − 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.