Subtraction with Regrouping: 5,000 − 402

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 5,000 − 402?

Answer

5,000 − 402 =
4,598

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

5,000 − 402 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.
499+10
5(was 5, now 4)0(was 0, now 9)0(was 0, now 9)0 (was 0, now 10)
−402
4598

Column by column: 5,000 − 402

  • Ones: 0 is less than 2 — borrow 1 thousand across the zero: thousands 5 → 4, hundreds 0 → 9, tens 0 → 9; 10 − 2 = 8 — write 8.
  • Tens: after borrowing, 9; 9 − 0 = 9 — write 9.
  • Hundreds: after borrowing, 9; 9 − 4 = 5 — write 5.
  • Thousands: after borrowing, 4; nothing to subtract — write 4.

5,000 − 402 = 4,598

Second check: 5,000 − 4,598 = 402

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Column subtractions of 402

ExampleDifference
804 − 402402
829 − 402427
855 − 402453
870 − 402468
887 − 402485
900 − 402498
921 − 402519
938 − 402536
966 − 402564
980 − 402578
1,000 − 402598
1,004 − 402602
1,049 − 402647
1,085 − 402683
2,000 − 4021,598
5,000 − 4024,598
10,000 − 4029,598

FAQ

What is 5,000 − 402?

5,000 − 402 = 4,598

How do you check that 5,000 − 402 = 4,598?

Add the difference and the subtrahend: 4,598 + 402 = 5,000. Getting the minuend back means the difference is right.

How many times do you borrow in 5,000 − 402?

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 5,000 − 402?

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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