Question

For any integer a and 5, there exist a unique integer q and r such that a=5q+r find the possible value of a and r

Answer 1

HERE r is 0,1,2,3,4
SO,
a =5q
a= +1
a = 5q +2
a =5q +3
a = 5q +4
THESE ARE THE POSSIBLE VALUE OF a
ACCORDING TO EUCLID ALGORITHM

Answer 2

Answer:

The possible remainders(r) are

0,1,2,3,4.

That is , a can be 5q, Or 5q+1, Or 5q+2, Or 5q+3, Or 5q+4,

Where q is a quotient.

Step-by-step explanation:

Let us start with taking a is a positive integer.

we apply the division algorithm

with a and b = 5,

Since , 0≤r<5,

the possible remainders(r) are

0,1,2,3,4.

That is , a can be 5q, Or 5q+1, Or 5q+2, Or 5q+3, Or 5q+4,

Where q is a quotient.

•••♪