Subtraction with Regrouping: 417,412 − 12,345

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 417,412 − 12,345?

Answer

417,412 − 12,345 =
405,067

With regrouping: 2 borrows — from the tens and the hundreds

417,412 − 12,345 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.
310+10
4 1 7 4(was 4, now 3)1(was 1, now 10)2 (was 2, now 12)
−12345
405067

Column by column: 417,412 − 12,345

  • Ones: 2 is less than 5 — borrow 1 ten: tens 1 → 0; 12 − 5 = 7 — write 7.
  • Tens: after borrowing, 0; 0 is less than 4 — borrow 1 hundred: hundreds 4 → 3; 10 − 4 = 6 — write 6.
  • Hundreds: after borrowing, 3; 3 − 3 = 0 — write 0.
  • Thousands: 7 − 2 = 5 — write 5.
  • Ten thousands: 1 − 1 = 0 — write 0.
  • Hundred thousands: nothing to subtract — write 4.

417,412 − 12,345 = 405,067

Second check: 417,412 − 405,067 = 12,345

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Column subtractions of 12,345

ExampleDifference
417,407 − 12,345405,062
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417,409 − 12,345405,064
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417,411 − 12,345405,066
417,412 − 12,345405,067
417,413 − 12,345405,068
417,414 − 12,345405,069
417,415 − 12,345405,070
417,416 − 12,345405,071
417,417 − 12,345405,072

FAQ

What is 417,412 − 12,345?

417,412 − 12,345 = 405,067

How do you check that 417,412 − 12,345 = 405,067?

Add the difference and the subtrahend: 405,067 + 12,345 = 417,412. Getting the minuend back means the difference is right.

How many times do you borrow in 417,412 − 12,345?

2 borrows: each time the top digit was smaller than the one below it, 1 was borrowed from the column on the left.

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