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Thread: Confusion on Quotient and Remainder theroem

  1. #1
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    Confusion on Quotient and Remainder theroem

    Find Remainder and Quotient

    a=39
    b=-5

    now solve like this

    a = b.q + r

    so

    39 = -5 (q) + r

    39 = -5 (-7) + (4)

    39 = 35 + 4

    39 = 39

    but i am confuse please apology for if its my wrong understanding

    as per theorem

    "0" less than and equal to "r" less than "b"


    at above r is greater than b so please put your comments for above
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  2. #2
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    Re: Confusion on Quotient and Remainder theroem

    Theorem (Division Algorithm) Let a be an integer and b be a positive integer. Then there exist unique integers q and r such that

    a = bq + r and 0 < r < b
    ... this is the theorem statement I found.

    How is the theorem stated in your text?
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