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3 . 27 is - Mathematics

MCQ
\[3 . 27\]  is

Options

  • an integer

  • a rational number

  • a natural number

  • an irrational number

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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).

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Q 18 | Page 60
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