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Can we say that every number which is non- terminating, is an irrational number ?

Posted by Siddharth Singh 8 years, 7 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 7 months ago

Ans. While it is true that any irrational number has a non-terminating decimal representation, the converse is not true.
For example,{tex}1\over 3{/tex} is a rational number whose decimal representation is non-terminating.

The correct statement is that a number whose decimal representation is non-terminating and non-repeating is irrational.

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