Math Teachers Chatboard

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Re: Haven't thought about it quite like this..
Posted by: ...but here's a question on 10/25/09
OK, so I define a rational number as a number that can be represented
as a ratio of two integers.
I also tell my kids that irrational numbers (as decimals) go on
forever without repeating.
That means any ratio of two integers, converted to decimal, must
either terminate or repeat.
How do you prove that there is no ratio of two numbers that goes on
forever without repeating?
Posts on this thread, including this one
- Is 22/7 rational or irrational?, 10/22/09, by no name given.
- Re: Is 22/7 rational or irrational?, 10/22/09, by rational.
- Re: Is 22/7 rational or irrational?, 10/22/09, by DSF/NJ.
- Re: Is 22/7 rational or irrational?, 10/23/09, by lh.
- Re: Haven't thought about it quite like this.., 10/25/09, by ...but here's a question.
- Re: Haven't thought about it quite like this.., 10/25/09, by euler.
- Re: Sorry but the equations didn't copy but here is the url, 10/25/09, by euler.
- Re: Another citation, 10/25/09, by euler.
- Re: Haven't thought about it quite like this.., 10/25/09, by Rich/CA/Math.
- Re: Haven't thought about it quite like this.., 10/25/09, by ok.
- Re: what is a good use of class time?, 10/25/09, by euler.
- Re: what is a good use of class time?, 10/26/09, by depends which class, yes??.
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