Are non terminating reccuring number irrational?

The decimal fractions which never ends but the digits repeats in a sequence

on the decimal points. is known as non terminating recurring $( repeating)$

fraction or numbers.

All  non terminating recurring $( repeating)$ fractions are rational number

because they can be converted into decimal fraction$( into\ \frac{p}{q}\ form)$.

For example: $\frac{10}{3}=3.333333.....$

Here  $3.333333.....$ is a non terminating recurrying number and it is a rational number. 

Thus, a non terminating recurrying number is not irrational.

Updated on: 10-Oct-2022

57 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements