Subtraction with Regrouping: 9,901 − 4,805

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 9,901 − 4,805?

Answer

9,901 − 4,805 =
5,096

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

9,901 − 4,805 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.
89+10
9 9(was 9, now 8)0(was 0, now 9)1 (was 1, now 11)
−4805
5096

Column by column: 9,901 − 4,805

  • Ones: 1 is less than 5 — borrow 1 hundred across the zero: hundreds 9 → 8, tens 0 → 9; 11 − 5 = 6 — write 6.
  • Tens: after borrowing, 9; 9 − 0 = 9 — write 9.
  • Hundreds: after borrowing, 8; 8 − 8 = 0 — write 0.
  • Thousands: 9 − 4 = 5 — write 5.

9,901 − 4,805 = 5,096

Second check: 9,901 − 5,096 = 4,805

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Column subtractions of 4,805

ExampleDifference
9,896 − 4,8055,091
9,897 − 4,8055,092
9,898 − 4,8055,093
9,899 − 4,8055,094
9,900 − 4,8055,095
9,901 − 4,8055,096
9,902 − 4,8055,097
9,903 − 4,8055,098
9,904 − 4,8055,099
9,905 − 4,8055,100
9,906 − 4,8055,101

FAQ

What is 9,901 − 4,805?

9,901 − 4,805 = 5,096

How do you check that 9,901 − 4,805 = 5,096?

Add the difference and the subtrahend: 5,096 + 4,805 = 9,901. Getting the minuend back means the difference is right.

How many times do you borrow in 9,901 − 4,805?

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 9,901 − 4,805?

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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