Question

in Euclid division lemma if a= 3 q+ r then write all the possible values of r​

Answer 1

Answer:

All possible values of r are 0, 1 and 2.

Step-by-step explanation:

The remainder is always less than the divisor. This is because if the remainder is greater than the divisor, then it can be once again divided by the remainder.

For example: If the remainder in this question was 3 then the divisor can divide 3 and the quotient would have been q+1.

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Answer 2

Step-by-step explanation:

a=3q+r. eq.1

, that means the values of r will lie between 0 to 3 i.e.

(r= 0 or 1 or 2)

Now putting the value of r in the eq.1

for r=0,

a=3q+0 = a=3q

for r= 1

a=3q+1

for r=2

a=3q+3

and these can be the possible values for r

I hope you get some help from my answer.