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### Is 0.99 Periodical Equal to 1?

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Date: 25 Apr 1995 06:26:53 -0400
From: Karsten Koops
Subject: 0,999. = 1 ?

Hello there!
Today I had a discussion with my collegues about whether 0,99. periodically
is the same value as 1. My statement is:

Suppose                           X = 0,99. periodical
Multiply by 10, so you get       10X=9,99.
Subtract 1X (0,99.)               9X=9
Divide by 9 and you get            X=1

Is this equation and therefore the above statement correct?
By the way, could you tell me, who is/are DR.MATH and SWARTHMORE?
Thanks much, bye KOOPS@MAGNET.AT
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Date: 25 Apr 1995 09:41:27 -0400
From: Dr. Ken
Subject: Re: 0,999. = 1 ?

Hello there!

Yes, that's exactly right.  Another way to show it is that if 1 and
0,9999... were two different numbers, you'd be able to find numbers in
between them, but you can't.

The Dr.s of math are undergraduate students at Swarthmore College.
Swarthmore is a 4-year liberal arts college just south of Philadelphia, PA.

-K
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Associated Topics:
High School Analysis

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