Subtraction with Regrouping: 103 − 34

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 103 − 34?

Answer

103 − 34 =
69

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

103 − 34 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)3 (was 3, now 13)
−34
69

Column by column: 103 − 34

  • Ones: 3 is less than 4 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 13 − 4 = 9 — write 9.
  • Tens: after borrowing, 9; 9 − 3 = 6 — write 6.
  • Hundreds: after borrowing, 0 — a leading zero is not written.

103 − 34 = 69

Second check: 103 − 69 = 34

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See Also

FAQ

What is 103 − 34?

103 − 34 = 69

How do you check that 103 − 34 = 69?

Add the difference and the subtrahend: 69 + 34 = 103. Getting the minuend back means the difference is right.

How many times do you borrow in 103 − 34?

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 103 − 34?

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.