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Question
Options
an integer
a rational number
a natural number
an irrational number
Solution
We have,
`3.overline27=3.27272727...`
Let
x=3.27272727....
Then,
`100 x =327 . 272727`
`10000x= 32727.2727...`
Subtract these to get
`9900x= 32400`
`x = (32400)/9900`
`x= 324/99`
Thus, we can also conclude that all infinite repeating decimals are rational numbers.
Hence, the correct choice is (b).
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