Subtraction with Regrouping: 1,100 − 453

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,100 − 453?

Answer

1,100 − 453 =
647

With regrouping across a zero: 3 borrows — there are no tens to borrow from, so 1 hundred becomes 10 tens, and 1 ten goes to the ones

1,100 − 453 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.
0109+10
1(was 1, now 0)1(was 1, now 10)0(was 0, now 9)0 (was 0, now 10)
−453
647

Column by column: 1,100 − 453

  • Ones: 0 is less than 3 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 10 − 3 = 7 — write 7.
  • Tens: after borrowing, 9; 9 − 5 = 4 — write 4.
  • Hundreds: after borrowing, 0; 0 is less than 4 — borrow 1 thousand: thousands 1 → 0; 10 − 4 = 6 — write 6.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,100 − 453 = 647

Second check: 1,100 − 647 = 453

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Column subtractions of 453

ExampleDifference
1,095 − 453642
1,096 − 453643
1,097 − 453644
1,098 − 453645
1,099 − 453646
1,100 − 453647
1,101 − 453648
1,102 − 453649
1,103 − 453650
1,104 − 453651
1,105 − 453652

FAQ

What is 1,100 − 453?

1,100 − 453 = 647

How do you check that 1,100 − 453 = 647?

Add the difference and the subtrahend: 647 + 453 = 1,100. Getting the minuend back means the difference is right.

How many times do you borrow in 1,100 − 453?

3 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 1,100 − 453?

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.

See Also