Suppose x = 0.0nnn...
100x = n.nnn...
-10x = -0.nnn...
------ ------ --------
90x = n
x = n/90
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Verified answer
Suppose x = 0.0nnn...
100x = n.nnn...
-10x = -0.nnn...
------ ------ --------
90x = n
x = n/90