1 Answer

Chris Mantle · Answer 1 · 2018-01-13T04:19:59+0000

No. We claim that
$1=0.\overline{9}$ and use algebra to prove the statement.

Let
$x=0.\overline{9}$ . Multiply this by ten to get
$10x=9.\overline{9}$ . Subtract the initial equation to give
9x=9

and divide by

to see that
x=1

. Substituting into the original equation gives
$1=0.\overline{9}$ , proving the desired statement.

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