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    Subtraction with Regrouping: 2,000 − 71

    Subtraction with Regrouping Calculator
    Minuend
    Subtrahend

    What is 2,000 − 71?

    Answer

    2,000 − 71 =
    1,929

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

    2,000 − 71 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.
    199+10
    2(was 2, now 1)0(was 0, now 9)0(was 0, now 9)0 (was 0, now 10)
    −71
    1929

    Column by column: 2,000 − 71

    • Ones: 0 is less than 1 — borrow 1 thousand across the zero: thousands 2 → 1, hundreds 0 → 9, tens 0 → 9; 10 − 1 = 9 — write 9.
    • Tens: after borrowing, 9; 9 − 7 = 2 — write 2.
    • Hundreds: after borrowing, 9; nothing to subtract — write 9.
    • Thousands: after borrowing, 1; nothing to subtract — write 1.

    2,000 − 71 = 1,929

    Second check: 2,000 − 1,929 = 71

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    2,000 − 71 = 1,929 - Subtraction with Regrouping. 2,000 − 71 = 1,929. Subtraction with regrouping step by step: 3 borrows across a zero, every digit of the difference and an addition check.
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    FAQ

    What is 2,000 − 71?

    2,000 − 71 = 1,929

    How do you check that 2,000 − 71 = 1,929?

    Add the difference and the subtrahend: 1,929 + 71 = 2,000. Getting the minuend back means the difference is right.

    How many times do you borrow in 2,000 − 71?

    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 2,000 − 71?

    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.