Question

express 0.99999.......in the form p upon q where p and q are integer and q not equal to 0

Answer 1

Hola there,

Expressing 0.999... in form of p/q

Let x = 0.9999.... ...(i)

Now,

=> 10x = 9.999... ....(ii)

Now, subtracting (i) from (ii), we get

=> 10x - x = 9.99... - 0.999...

=> 9x = 9

=> x = 1

Therefore, p/q form of 0.999.. = 1

Hope this helps....:)

Answer 2

0.999…=10.999…=1
Proof: Let x=0.999…x=0.999… . Now consider that 10x=9.999…10x=9.999… . So then we have that 9x=10x−x=9.99…−0.999…=9.09x=10x−x=9.99…−0.999…=9.0 .

Thus 9x/9=9/9=19x/9=9/9=1.