Subtraction with Regrouping: 1,038 − 519

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,038 − 519?

Answer

1,038 − 519 =
519

With regrouping: 2 borrows — from the tens and the thousands

1,038 − 519 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.
0+102+10
1(was 1, now 0)0 (was 0, now 10)3(was 3, now 2)8 (was 8, now 18)
−519
519

Column by column: 1,038 − 519

  • Ones: 8 is less than 9 — borrow 1 ten: tens 3 → 2; 18 − 9 = 9 — write 9.
  • Tens: after borrowing, 2; 2 − 1 = 1 — write 1.
  • Hundreds: 0 is less than 5 — borrow 1 thousand: thousands 1 → 0; 10 − 5 = 5 — write 5.
  • Thousands: after borrowing, 0 — a leading zero is not written.

1,038 − 519 = 519

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Column subtractions of 519

ExampleDifference
1,033 − 519514
1,034 − 519515
1,035 − 519516
1,036 − 519517
1,037 − 519518
1,038 − 519519
1,039 − 519520
1,040 − 519521
1,041 − 519522
1,042 − 519523
1,043 − 519524

FAQ

What is 1,038 − 519?

1,038 − 519 = 519

How do you check that 1,038 − 519 = 519?

Add the difference and the subtrahend: 519 + 519 = 1,038. Getting the minuend back means the difference is right.

How many times do you borrow in 1,038 − 519?

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

See Also