Question

What is the period of the decimal $2.3636363...$?

Answer 1

Period of non-terminating decimal number:

The decimal period of a repeating decimal is the number of digits that repeat.

The given decimal number is $2.3636363...$ which can be written as $2.\overline{36}$

It is observed that In the given decimal number, $36$ is repeating, which has two digits.

Hence, the period of the decimal $2.3636363...$ is $2$.