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How is infinite .99999999999 equal 1? (explain)

How is infinite .99999999999 equal 1? (explain)
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How is infinite .99999999999 equal 1? (explain)

User Cubrman
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The way I got taught was you have to round it up and that would equal ten but you take out the zero
User Benissimo
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x=0.\overline{9}\\ 10x=9.\overline{9}\\ 10x-x=9.\overline{9}-0.\overline{9}\\ 9x=9\\ x=1
User Sorifiend
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