anonymous
  • anonymous
-7.832198653 . . . is rational or irrational
Mathematics
schrodinger
  • schrodinger
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whpalmer4
  • whpalmer4
is that all of the digits?
anonymous
  • anonymous
that's all of the digits
whpalmer4
  • whpalmer4
if you can write down all of the digits, it is rational. a rational number is one that can be represented by a fraction \(p/q\) where \(q\ne 0\). Any finite string of digits is obviously a fraction. An infinite string of digits that repeats is also rational, such as \(1/3 = 0.3333333333...\) If it doesn't end and does not repeat, then it must be irrational.

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whpalmer4
  • whpalmer4
Your number can be written as \[-7\frac{832198653}{1000000000}\]so it is rational

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