Question

Show that 0.555........=0.5 can be expressed in the form p\q where p and q are integers and q not equal to 0 ?

Answer 1

Answer:

Let A = 0.555555.........

10A = 5.555555........

substracting 2nd to 1st,

9A = 5

so A = 5/9

Answer 2

Answer:

Let q=0.555=0.

Let q=0.555=0. 5 _____.

(i)10q=5.555=0.

(i)10q=5.555=0. 5 ______.

(ii)Subtracting,

(ii)Subtracting, (i) from,

(ii), we get,

10q−q=5

10q−q=5⇒q= 95

10q−q=5⇒q= 95Hence, 0.555= 95.

Step-by-step explanation:

hope it will help you.