Express 0.99999…in the form $\frac{p}{q}$. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.

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Solution:

Let $x=0.9999 \ldots$

$10 x=9.9999 \ldots$

$10 x=9+x$

$9 x=9$

$x=1$

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