How is infinite .99999999999 equal 1? (explain)

asked Mar 10, 2015 183k views

1 vote

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4 votes

The way I got taught was you have to round it up and that would equal ten but you take out the zero

Benissimo answered Mar 10, 2015

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3 votes

$x=0.\overline{9}\\ 10x=9.\overline{9}\\ 10x-x=9.\overline{9}-0.\overline{9}\\ 9x=9\\ x=1$

Sorifiend answered Mar 16, 2015