Subtraction with Regrouping: 600 − 105

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 600 − 105?

Answer

600 − 105 =
495

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

600 − 105 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.
59+10
6(was 6, now 5)0(was 0, now 9)0 (was 0, now 10)
−105
495

Column by column: 600 − 105

  • Ones: 0 is less than 5 — borrow 1 hundred across the zero: hundreds 6 → 5, tens 0 → 9; 10 − 5 = 5 — write 5.
  • Tens: after borrowing, 9; 9 − 0 = 9 — write 9.
  • Hundreds: after borrowing, 5; 5 − 1 = 4 — write 4.

600 − 105 = 495

Second check: 600 − 495 = 105

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FAQ

What is 600 − 105?

600 − 105 = 495

How do you check that 600 − 105 = 495?

Add the difference and the subtrahend: 495 + 105 = 600. Getting the minuend back means the difference is right.

How many times do you borrow in 600 − 105?

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 600 − 105?

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.

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