Subtraction with Regrouping: 405 − 98

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 405 − 98?

Answer

405 − 98 =
307

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 − 98 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)
−98
307

Column by column: 405 − 98

  • Ones: 5 is less than 8 — borrow 1 hundred across the zero: hundreds 4 → 3, tens 0 → 9; 15 − 8 = 7 — write 7.
  • Tens: after borrowing, 9; 9 − 9 = 0 — write 0.
  • Hundreds: after borrowing, 3; nothing to subtract — write 3.

405 − 98 = 307

Second check: 405 − 307 = 98

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FAQ

What is 405 − 98?

405 − 98 = 307

How do you check that 405 − 98 = 307?

Add the difference and the subtrahend: 307 + 98 = 405. Getting the minuend back means the difference is right.

How many times do you borrow in 405 − 98?

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 − 98?

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.