## Understanding of the reals: 0.9999…. = 1

Many people, including mathematics teachers, wrestle with the claim that 0.9999... is the same as 1. Some think of it as incorrect - the former is something just slightly less than but never "reaching" 1. Others perhaps follow the proof but think of it as mathematical "hocus-pocus" - the same as those "proofs" demonstrating that …

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