Subtraction with Regrouping: 102 − 19

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 102 − 19?

Answer

102 − 19 =
83

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

102 − 19 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.
09+10
1(was 1, now 0)0(was 0, now 9)2 (was 2, now 12)
−19
83

Column by column: 102 − 19

  • Ones: 2 is less than 9 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 12 − 9 = 3 — write 3.
  • Tens: after borrowing, 9; 9 − 1 = 8 — write 8.
  • Hundreds: after borrowing, 0 — a leading zero is not written.

102 − 19 = 83

Second check: 102 − 83 = 19

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Recalculate with different values ↑

Column subtractions of 19

ExampleDifference
73 − 1954
77 − 1958
82 − 1963
84 − 1965
86 − 1967
88 − 1969
90 − 1971
93 − 1974
95 − 1976
97 − 1978
102 − 1983
104 − 1985
108 − 1989
111 − 1992
113 − 1994
117 − 1998
124 − 19105
155 − 19136
191 − 19172
222 − 19203

FAQ

What is 102 − 19?

102 − 19 = 83

How do you check that 102 − 19 = 83?

Add the difference and the subtrahend: 83 + 19 = 102. Getting the minuend back means the difference is right.

How many times do you borrow in 102 − 19?

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 102 − 19?

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