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

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Solution

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 $2 . \bar{36}$
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 $2$ .

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