lacyfreeman lacyfreeman
  • 08-02-2018
  • Mathematics
contestada

.33333333333333~ is an irrational number

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LammettHash
LammettHash LammettHash
  • 08-02-2018
That's not true.

If [tex]x=0.333\ldots[/tex], then [tex]10x=3.333\ldots[/tex]. Then [tex]10x-x=9x=3[/tex], so that [tex]x=\dfrac39=\dfrac13[/tex].

Or perhaps you meant exactly [tex]0.33333333333333[/tex], which is just [tex]\dfrac{33333333333333}{10^{14}}[/tex].
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