Subtraction with Regrouping: 405 − 149

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 405 − 149?

Answer

405 − 149 =
256

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

405 − 149 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.
39+10
4(was 4, now 3)0(was 0, now 9)5 (was 5, now 15)
−149
256

Column by column: 405 − 149

  • Ones: 5 is less than 9 — borrow 1 hundred across the zero: hundreds 4 → 3, tens 0 → 9; 15 − 9 = 6 — write 6.
  • Tens: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Hundreds: after borrowing, 3; 3 − 1 = 2 — write 2.

405 − 149 = 256

Second check: 405 − 256 = 149

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FAQ

What is 405 − 149?

405 − 149 = 256

How do you check that 405 − 149 = 256?

Add the difference and the subtrahend: 256 + 149 = 405. Getting the minuend back means the difference is right.

How many times do you borrow in 405 − 149?

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 405 − 149?

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.