# 3 . 27 is - Mathematics

MCQ
$3 . 27$  is

#### 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).

Is there an error in this question or solution?

#### APPEARS IN

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