Subtraction with Regrouping: 106 − 17

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 106 − 17?

Answer

106 − 17 =
89

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

106 − 17 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.
09+10
1(was 1, now 0)0(was 0, now 9)6 (was 6, now 16)
−17
89

Column by column: 106 − 17

  • Ones: 6 is less than 7 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 16 − 7 = 9 — write 9.
  • Tens: after borrowing, 9; 9 − 1 = 8 — write 8.
  • Hundreds: after borrowing, 0 — a leading zero is not written.

106 − 17 = 89

Second check: 106 − 89 = 17

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FAQ

What is 106 − 17?

106 − 17 = 89

How do you check that 106 − 17 = 89?

Add the difference and the subtrahend: 89 + 17 = 106. Getting the minuend back means the difference is right.

How many times do you borrow in 106 − 17?

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 106 − 17?

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.