Question

Is a non terminating repeating decimal always represent a rational number?

Answer 1

yes, because it can express in the form of p/q
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Answer 2

$\huge\red {Hlo}$

1. The decimal expansion of a rational number always either terminates after finitely many digits or begins to repeat the same sequence of digits over and over.

2. Moreover,any repeating or terminating decimal represents a rational number.