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    Subtraction with Regrouping: 10,292 − 3,579

    Subtraction with Regrouping Calculator
    Minuend
    Subtrahend

    What is 10,292 − 3,579?

    Answer

    10,292 − 3,579 =
    6,713

    With regrouping across a zero: 3 borrows — there are no thousands to borrow from, so 1 ten thousand becomes 10 thousands, and 1 thousand goes to the hundreds

    10,292 − 3,579 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+108+10
    1(was 1, now 0)0(was 0, now 9)2 (was 2, now 12)9(was 9, now 8)2 (was 2, now 12)
    −3579
    6713

    Column by column: 10,292 − 3,579

    • Ones: 2 is less than 9 — borrow 1 ten: tens 9 → 8; 12 − 9 = 3 — write 3.
    • Tens: after borrowing, 8; 8 − 7 = 1 — write 1.
    • Hundreds: 2 is less than 5 — borrow 1 ten thousand across the zero: ten thousands 1 → 0, thousands 0 → 9; 12 − 5 = 7 — write 7.
    • Thousands: after borrowing, 9; 9 − 3 = 6 — write 6.
    • Ten thousands: after borrowing, 0 — a leading zero is not written.

    10,292 − 3,579 = 6,713

    Second check: 10,292 − 6,713 = 3,579

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    <a href="https://calculat.io/en/number/long-subtraction/10292--3579">10,292 − 3,579 = 6,713 - Subtraction with Regrouping</a>Copy
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    10,292 − 3,579 = 6,713 - Subtraction with Regrouping. 10,292 − 3,579 = 6,713. Subtraction with regrouping step by step: 3 borrows across a zero, every digit of the difference and an addition check.
    https://calculat.io/en/number/long-subtraction/10292--3579/generated.jpgCopy

    Column subtractions of 3,579

    ExampleDifference
    10,287 − 3,5796,708
    10,288 − 3,5796,709
    10,289 − 3,5796,710
    10,290 − 3,5796,711
    10,291 − 3,5796,712
    10,292 − 3,5796,713
    10,293 − 3,5796,714
    10,294 − 3,5796,715
    10,295 − 3,5796,716
    10,296 − 3,5796,717
    10,297 − 3,5796,718
    Recalculate with different values ↑

    FAQ

    What is 10,292 − 3,579?

    10,292 − 3,579 = 6,713

    How do you check that 10,292 − 3,579 = 6,713?

    Add the difference and the subtrahend: 6,713 + 3,579 = 10,292. Getting the minuend back means the difference is right.

    How many times do you borrow in 10,292 − 3,579?

    3 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 10,292 − 3,579?

    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