Question

The value of 8.999.... in the form p/q, where p and q are Integers and q≠ 0, is
a) 9/10
B)8999/1000
C)9
D)none of these​

Answer 1

Answer:

here the answer

Step-by-step explanation:

Let x=1.999...

Since, one digit is repeating, we multiply x by 10, we get

10x=19.99...

So, 10x=18+1.999...=18+x

Therefore, 10x−x=18, i.e., 9x=18

i.e., x=918=12=2

 

Hence, option D is correct answer.

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