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#1 2013-01-29 06:01:43
- Reek
- Member
- Registered: 2010-12-22
- Posts: 11
Is a non-repeating and non-terminating decimal always an 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?
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#2 2013-01-29 06:09:21
- Bob
- Administrator
- Registered: 2010-06-20
- Posts: 10,623
Re: Is a non-repeating and non-terminating decimal always an irrational?
hi Reek
Yes.
Terminating decimals can be converted to fractions.
Recurring decimals can be converted to fractions.
All the rest are irrational.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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