Subtraction with Regrouping: 413,109 − 8,042

Subtraction with Regrouping Calculator
Minuend
Subtrahend

What is 413,109 − 8,042?

Answer

413,109 − 8,042 =
405,067

With regrouping: 2 borrows — from the hundreds and the ten thousands

413,109 − 8,042 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.
0+100+10
4 1(was 1, now 0)3 (was 3, now 13)1(was 1, now 0)0 (was 0, now 10)9
−8042
405067

Column by column: 413,109 − 8,042

  • Ones: 9 − 2 = 7 — write 7.
  • Tens: 0 is less than 4 — borrow 1 hundred: hundreds 1 → 0; 10 − 4 = 6 — write 6.
  • Hundreds: after borrowing, 0; 0 − 0 = 0 — write 0.
  • Thousands: 3 is less than 8 — borrow 1 ten thousand: ten thousands 1 → 0; 13 − 8 = 5 — write 5.
  • Ten thousands: after borrowing, 0; nothing to subtract — write 0.
  • Hundred thousands: nothing to subtract — write 4.

413,109 − 8,042 = 405,067

Second check: 413,109 − 405,067 = 8,042

Similar examples to practise

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Recalculate with different values ↑

Column subtractions of 8,042

ExampleDifference
413,104 − 8,042405,062
413,105 − 8,042405,063
413,106 − 8,042405,064
413,107 − 8,042405,065
413,108 − 8,042405,066
413,109 − 8,042405,067
413,110 − 8,042405,068
413,111 − 8,042405,069
413,112 − 8,042405,070
413,113 − 8,042405,071
413,114 − 8,042405,072

FAQ

What is 413,109 − 8,042?

413,109 − 8,042 = 405,067

How do you check that 413,109 − 8,042 = 405,067?

Add the difference and the subtrahend: 405,067 + 8,042 = 413,109. Getting the minuend back means the difference is right.

How many times do you borrow in 413,109 − 8,042?

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

See Also