Subtraction with Regrouping: 1,011,110 − 23,456

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,011,110 − 23,456?

Answer

1,011,110 − 23,456 =
987,654

With regrouping across a zero: 6 borrows — there are no hundred thousands to borrow from, so 1 million becomes 10 hundred thousands, and 1 hundred thousand goes to the ten thousands

1,011,110 − 23,456 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.
0910101010+10
1(was 1, now 0)0(was 0, now 9)1(was 1, now 10)1(was 1, now 10)1(was 1, now 10)1(was 1, now 10)0 (was 0, now 10)
−23456
987654

Column by column: 1,011,110 − 23,456

  • Ones: 0 is less than 6 — borrow 1 ten: tens 1 → 0; 10 − 6 = 4 — write 4.
  • Tens: after borrowing, 0; 0 is less than 5 — borrow 1 hundred: hundreds 1 → 0; 10 − 5 = 5 — write 5.
  • Hundreds: after borrowing, 0; 0 is less than 4 — borrow 1 thousand: thousands 1 → 0; 10 − 4 = 6 — write 6.
  • Thousands: after borrowing, 0; 0 is less than 3 — borrow 1 ten thousand: ten thousands 1 → 0; 10 − 3 = 7 — write 7.
  • Ten thousands: after borrowing, 0; 0 is less than 2 — borrow 1 million across the zero: millions 1 → 0, hundred thousands 0 → 9; 10 − 2 = 8 — write 8.
  • Hundred thousands: after borrowing, 9; nothing to subtract — write 9.
  • Millions: after borrowing, 0 — a leading zero is not written.

1,011,110 − 23,456 = 987,654

Second check: 1,011,110 − 987,654 = 23,456

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Column subtractions of 23,456

ExampleDifference
1,011,105 − 23,456987,649
1,011,106 − 23,456987,650
1,011,107 − 23,456987,651
1,011,108 − 23,456987,652
1,011,109 − 23,456987,653
1,011,110 − 23,456987,654
1,011,111 − 23,456987,655
1,011,112 − 23,456987,656
1,011,113 − 23,456987,657
1,011,114 − 23,456987,658
1,011,115 − 23,456987,659

FAQ

What is 1,011,110 − 23,456?

1,011,110 − 23,456 = 987,654

How do you check that 1,011,110 − 23,456 = 987,654?

Add the difference and the subtrahend: 987,654 + 23,456 = 1,011,110. Getting the minuend back means the difference is right.

How many times do you borrow in 1,011,110 − 23,456?

6 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 1,011,110 − 23,456?

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