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 Posted: Thu, 7 Oct 2010 16:50:55 UTC
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Joined: Thu, 7 Oct 2010 16:17:56 UTC
Posts: 3
How do we know that the decimal number system can represent all numbers ?

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 Posted: Thu, 7 Oct 2010 16:54:56 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 7623
Location: NCTS/TPE, Taiwan
wajed wrote:
How do we know that the decimal number system can represent all numbers ?

No you can't. They don't represent the p-adics, or the surreals, for example.

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 Post subject: Posted: Thu, 7 Oct 2010 21:08:04 UTC
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Joined: Thu, 7 Oct 2010 16:17:56 UTC
Posts: 3
Thanks, that adds to my info.

But I had "integers" in my mind when I asked the question, how do we know that the decimal number system represents / can represent all integer numbers?

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 Post subject: Posted: Fri, 8 Oct 2010 00:49:41 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
Posts: 15559
Location: Austin, TX
wajed wrote:
Thanks, that adds to my info.

But I had "integers" in my mind when I asked the question, how do we know that the decimal number system represents / can represent all integer numbers?

Um...just write out the decimal for each integer....

1.0000..., 0.00000..., -1.00000..., et cetera

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