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**Reek****Member**- Registered: 2010-12-22
- Posts: 11

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?

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,914

hi Reek

Yes.

Terminating decimals can be converted to fractions.

Recurring decimals can be converted to fractions.

All the rest are irrational.

Bob

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

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