Subtraction with Regrouping: 406,301 − 1,234

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 406,301 − 1,234?

Answer

406,301 − 1,234 =
405,067

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

406,301 − 1,234 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.
29+10
4 0 6 3(was 3, now 2)0(was 0, now 9)1 (was 1, now 11)
−1234
405067

Column by column: 406,301 − 1,234

  • Ones: 1 is less than 4 — borrow 1 hundred across the zero: hundreds 3 → 2, tens 0 → 9; 11 − 4 = 7 — write 7.
  • Tens: after borrowing, 9; 9 − 3 = 6 — write 6.
  • Hundreds: after borrowing, 2; 2 − 2 = 0 — write 0.
  • Thousands: 6 − 1 = 5 — write 5.
  • Ten thousands: nothing to subtract — write 0.
  • Hundred thousands: nothing to subtract — write 4.

406,301 − 1,234 = 405,067

Second check: 406,301 − 405,067 = 1,234

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FAQ

What is 406,301 − 1,234?

406,301 − 1,234 = 405,067

How do you check that 406,301 − 1,234 = 405,067?

Add the difference and the subtrahend: 405,067 + 1,234 = 406,301. Getting the minuend back means the difference is right.

How many times do you borrow in 406,301 − 1,234?

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 406,301 − 1,234?

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.