Subtraction with Regrouping: 1,057,966 − 70,312

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,057,966 − 70,312?

Answer

1,057,966 − 70,312 =
987,654

With regrouping across a zero: 2 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

1,057,966 − 70,312 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)5 (was 5, now 15)7 9 6 6
−70312
987654

Column by column: 1,057,966 − 70,312

  • Ones: 6 − 2 = 4 — write 4.
  • Tens: 6 − 1 = 5 — write 5.
  • Hundreds: 9 − 3 = 6 — write 6.
  • Thousands: 7 − 0 = 7 — write 7.
  • Ten thousands: 5 is less than 7 — borrow 1 million across the zero: millions 1 → 0, hundred thousands 0 → 9; 15 − 7 = 8 — write 8.
  • Hundred thousands: after borrowing, 9; nothing to subtract — write 9.
  • Millions: after borrowing, 0 — a leading zero is not written.

1,057,966 − 70,312 = 987,654

Second check: 1,057,966 − 987,654 = 70,312

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1,057,966 − 70,312987,654
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FAQ

What is 1,057,966 − 70,312?

1,057,966 − 70,312 = 987,654

How do you check that 1,057,966 − 70,312 = 987,654?

Add the difference and the subtrahend: 987,654 + 70,312 = 1,057,966. Getting the minuend back means the difference is right.

How many times do you borrow in 1,057,966 − 70,312?

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 1,057,966 − 70,312?

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