Finding if Decimal Number is rational or irrational

Last updated at April 16, 2024 by

Let us find if decimal numbers are rational or irrational

Finding if Decimal Number is rational or irrational.jpg

Let us look at some examples

 

Q: Is 2.5 a rational number?

-a-

Since 2.5 has a terminating expansion

So, it is a rational number.

-ea-

 

Q: Is 0.142857142… a rational number?

-a-

0.142857142… = 0.1428571428570142857…

Since the terminal expansion is non- terminating repeating.

It is a rational number.

-ea-

 

Q: Is 1.10100100010000.. a rational number?

-a-

1.10100100010000..

Since the terminal expansion is non- terminating non-repeating.

It is an irrational number.

-ea-

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo