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    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

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    <a href="https://calculat.io/en/number/long-subtraction/413109--8042">413,109 − 8,042 = 405,067 - Subtraction with Regrouping</a>Copy
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    413,109 − 8,042 = 405,067 - Subtraction with Regrouping. 413,109 − 8,042 = 405,067. Subtraction with regrouping step by step: 2 borrows, every digit of the difference and an addition check.
    https://calculat.io/en/number/long-subtraction/413109--8042/generated.jpgCopy

    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
    Recalculate with different values ↑

    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