Thread: Why .9r = 1
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Old 10-16-2004, 07:19 AM   #14 (permalink)
Artsemis
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Location: West Virginia
Quote:
Originally Posted by Slavakion
Yeah, so this was written on the chalkboard in math class. I'm using an r to represent the "repeating bar" in an irrational term.

Code:
        x = .9r
      10x = 9.9r
  10x - x = 9.9r - .9r
       9x = 9
        x = 1
Any thoughts? It makes sense, although I don't know if it's mathematically polite to do what he/she did in line three -- subtracting an x from one side and a constant from the other ven though they are equal.
I can understand the fact that .9r = 1 but take a look at your statement:

10x = 9.9r

Since you have already given the definition of x to be .9r, lets go ahead and plug it in here for the heck of it. This gives: 10x = 9x

This is the part that I cant understand
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