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    Subtraction with Regrouping: 130,169 − 6,713

    Subtraction with Regrouping Calculator
    Minuend
    Subtrahend

    What is 130,169 − 6,713?

    Answer

    130,169 − 6,713 =
    123,456

    With regrouping across a zero: 2 borrows — there are no thousands to borrow from, so 1 ten thousand becomes 10 thousands, and 1 thousand goes to the hundreds

    130,169 − 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.
    29+10
    1 3(was 3, now 2)0(was 0, now 9)1 (was 1, now 11)6 9
    −6713
    123456

    Column by column: 130,169 − 6,713

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

    130,169 − 6,713 = 123,456

    Second check: 130,169 − 123,456 = 6,713

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    https://calculat.io/en/number/long-subtraction/130169--6713Copy
    <a href="https://calculat.io/en/number/long-subtraction/130169--6713">130,169 − 6,713 = 123,456 - Subtraction with Regrouping</a>Copy
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    130,169 − 6,713 = 123,456 - Subtraction with Regrouping. 130,169 − 6,713 = 123,456. Subtraction with regrouping step by step: 2 borrows across a zero, every digit of the difference and an addition check.
    https://calculat.io/en/number/long-subtraction/130169--6713/generated.jpgCopy

    Column subtractions of 6,713

    ExampleDifference
    130,164 − 6,713123,451
    130,165 − 6,713123,452
    130,166 − 6,713123,453
    130,167 − 6,713123,454
    130,168 − 6,713123,455
    130,169 − 6,713123,456
    130,170 − 6,713123,457
    130,171 − 6,713123,458
    130,172 − 6,713123,459
    130,173 − 6,713123,460
    130,174 − 6,713123,461
    Recalculate with different values ↑

    FAQ

    What is 130,169 − 6,713?

    130,169 − 6,713 = 123,456

    How do you check that 130,169 − 6,713 = 123,456?

    Add the difference and the subtrahend: 123,456 + 6,713 = 130,169. Getting the minuend back means the difference is right.

    How many times do you borrow in 130,169 − 6,713?

    2 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 130,169 − 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