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    Subtraction with Regrouping: 103 − 45

    Subtraction with Regrouping Calculator
    Minuend
    Subtrahend

    What is 103 − 45?

    Answer

    103 − 45 =
    58

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

    103 − 45 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+10
    1(was 1, now 0)0(was 0, now 9)3 (was 3, now 13)
    −45
    58

    Column by column: 103 − 45

    • Ones: 3 is less than 5 — borrow 1 hundred across the zero: hundreds 1 → 0, tens 0 → 9; 13 − 5 = 8 — write 8.
    • Tens: after borrowing, 9; 9 − 4 = 5 — write 5.
    • Hundreds: after borrowing, 0 — a leading zero is not written.

    103 − 45 = 58

    Second check: 103 − 58 = 45

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    103 − 45 = 58 - Subtraction with Regrouping. 103 − 45 = 58. 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/103--45/generated.jpgCopy

    Column subtractions of 45

    ExampleDifference
    90 − 4545
    92 − 4547
    97 − 4552
    99 − 4554
    103 − 4558
    108 − 4563
    110 − 4565
    112 − 4567
    114 − 4569
    116 − 4571
    119 − 4574
    121 − 4576
    123 − 4578
    128 − 4583
    130 − 4585
    134 − 4589
    137 − 4592
    139 − 4594
    143 − 4598
    150 − 45105
    Recalculate with different values ↑

    FAQ

    What is 103 − 45?

    103 − 45 = 58

    How do you check that 103 − 45 = 58?

    Add the difference and the subtrahend: 58 + 45 = 103. Getting the minuend back means the difference is right.

    How many times do you borrow in 103 − 45?

    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 103 − 45?

    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