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    Subtraction with Regrouping: 51,802 − 6,713

    Subtraction with Regrouping Calculator
    Minuend
    Subtrahend

    What is 51,802 − 6,713?

    Answer

    51,802 − 6,713 =
    45,089

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

    51,802 − 6,713 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.
    4+1079+10
    5(was 5, now 4)1 (was 1, now 11)8(was 8, now 7)0(was 0, now 9)2 (was 2, now 12)
    −6713
    45089

    Column by column: 51,802 − 6,713

    • Ones: 2 is less than 3 — borrow 1 hundred across the zero: hundreds 8 → 7, tens 0 → 9; 12 − 3 = 9 — write 9.
    • Tens: after borrowing, 9; 9 − 1 = 8 — write 8.
    • Hundreds: after borrowing, 7; 7 − 7 = 0 — write 0.
    • Thousands: 1 is less than 6 — borrow 1 ten thousand: ten thousands 5 → 4; 11 − 6 = 5 — write 5.
    • Ten thousands: after borrowing, 4; nothing to subtract — write 4.

    51,802 − 6,713 = 45,089

    Second check: 51,802 − 45,089 = 6,713

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    <a href="https://calculat.io/en/number/long-subtraction/51802--6713">51,802 − 6,713 = 45,089 - Subtraction with Regrouping</a>Copy
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    51,802 − 6,713 = 45,089 - Subtraction with Regrouping. 51,802 − 6,713 = 45,089. 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/51802--6713/generated.jpgCopy

    Column subtractions of 6,713

    ExampleDifference
    51,797 − 6,71345,084
    51,798 − 6,71345,085
    51,799 − 6,71345,086
    51,800 − 6,71345,087
    51,801 − 6,71345,088
    51,802 − 6,71345,089
    51,803 − 6,71345,090
    51,804 − 6,71345,091
    51,805 − 6,71345,092
    51,806 − 6,71345,093
    51,807 − 6,71345,094
    Recalculate with different values ↑

    FAQ

    What is 51,802 − 6,713?

    51,802 − 6,713 = 45,089

    How do you check that 51,802 − 6,713 = 45,089?

    Add the difference and the subtrahend: 45,089 + 6,713 = 51,802. Getting the minuend back means the difference is right.

    How many times do you borrow in 51,802 − 6,713?

    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 51,802 − 6,713?

    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