» Is a non-repeating and non-terminating decimal always an irrational?
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Terminating decimals can be converted to fractions.
Recurring decimals can be converted to fractions.
All the rest are irrational.
We can build 1/33 like this, .030303..... (03 repeats). .030303.... tends to 1/33 . So,I was wondering this: In the decimal representation, if we start writing the 10 numerals in such a way that the decimal portion never ends and never repeats; then am I getting closer and closer to some irrational number?