Subtraction with Regrouping: 1,032,743 − 45,089

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 1,032,743 − 45,089?

Answer

1,032,743 − 45,089 =
987,654

With regrouping across a zero: 5 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

1,032,743 − 45,089 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.
0912+10613+10
1(was 1, now 0)0(was 0, now 9)3(was 3, now 12)2 (was 2, now 12)7(was 7, now 6)4(was 4, now 13)3 (was 3, now 13)
−45089
987654

Column by column: 1,032,743 − 45,089

  • Ones: 3 is less than 9 — borrow 1 ten: tens 4 → 3; 13 − 9 = 4 — write 4.
  • Tens: after borrowing, 3; 3 is less than 8 — borrow 1 hundred: hundreds 7 → 6; 13 − 8 = 5 — write 5.
  • Hundreds: after borrowing, 6; 6 − 0 = 6 — write 6.
  • Thousands: 2 is less than 5 — borrow 1 ten thousand: ten thousands 3 → 2; 12 − 5 = 7 — write 7.
  • Ten thousands: after borrowing, 2; 2 is less than 4 — borrow 1 million across the zero: millions 1 → 0, hundred thousands 0 → 9; 12 − 4 = 8 — write 8.
  • Hundred thousands: after borrowing, 9; nothing to subtract — write 9.
  • Millions: after borrowing, 0 — a leading zero is not written.

1,032,743 − 45,089 = 987,654

Second check: 1,032,743 − 987,654 = 45,089

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1,032,742 − 45,089987,653
1,032,743 − 45,089987,654
1,032,744 − 45,089987,655
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1,032,747 − 45,089987,658
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FAQ

What is 1,032,743 − 45,089?

1,032,743 − 45,089 = 987,654

How do you check that 1,032,743 − 45,089 = 987,654?

Add the difference and the subtrahend: 987,654 + 45,089 = 1,032,743. Getting the minuend back means the difference is right.

How many times do you borrow in 1,032,743 − 45,089?

5 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 1,032,743 − 45,089?

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