Question

find the quotient and remainder when a is divided by b in the following cases a=-12,b=5​

Answer 1

Answer:

Hence quotient (q)=-2and remainder (r)=2

Step-by-step explanation:

By Euclid's division lemma

For any given integer a and b there exist unique integer q and r such that

a=bq+r where a=dividend, b= divisor,q=quotient and r=remainder

Here we have a=-12 and b=5 there exist unique

Integer q and r such that

-12=(5)(-2)+(2)

Hence quotient (q)=-2and remainder (r)=2

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Answer 2

Dividend = ( Divisor × Quotient ) + remainder

-12 = (5)(-a) +(2)

-12 = -10 + a

a = 2

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