Question

let A and B be two any positive integers then there exist a unique integers q and R such that a=bq+ r if b = 5 then find the possible values r.

Answer 1

Solution :

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Given :

"a" and "b" are two any positive integers then there exist a unique integers q and R such that a=bq+ r ,.

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To Find :

if b = 5 then find the possible values r.

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We know that,

Each Positive values of a & b (If they are positive integers such that, a > b),.

It can be expressed in the form,

⇒ a = bq + r where a > b > r ≥ 0

Hence,.

The possible values of "r" are : b > r ≥0 = {0, 1 , 2 , 3, ,4}

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