Subtraction with Regrouping: 1,225 − 578

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,225 − 578?

Answer

1,225 − 578 =
647

With regrouping: 3 borrows — from the tens, the hundreds and the thousands

1,225 − 578 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.
01111+10
1(was 1, now 0)2(was 2, now 11)2(was 2, now 11)5 (was 5, now 15)
−578
647

Column by column: 1,225 − 578

  • Ones: 5 is less than 8 — borrow 1 ten: tens 2 → 1; 15 − 8 = 7 — write 7.
  • Tens: after borrowing, 1; 1 is less than 7 — borrow 1 hundred: hundreds 2 → 1; 11 − 7 = 4 — write 4.
  • Hundreds: after borrowing, 1; 1 is less than 5 — borrow 1 thousand: thousands 1 → 0; 11 − 5 = 6 — write 6.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,225 − 578 = 647

Second check: 1,225 − 647 = 578

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Column subtractions of 578

ExampleDifference
1,220 − 578642
1,221 − 578643
1,222 − 578644
1,223 − 578645
1,224 − 578646
1,225 − 578647
1,226 − 578648
1,227 − 578649
1,228 − 578650
1,229 − 578651
1,230 − 578652

FAQ

What is 1,225 − 578?

1,225 − 578 = 647

How do you check that 1,225 − 578 = 647?

Add the difference and the subtrahend: 647 + 578 = 1,225. Getting the minuend back means the difference is right.

How many times do you borrow in 1,225 − 578?

3 borrows: each time the top digit was smaller than the one below it, 1 was borrowed from the column on the left.

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