0.999...
0.999...
In mathematics, 0.999... is a repeating decimal that is an alternative way of writing the number 1. The three dots represent an unending list of "9" digits. Following the standard rules for representing real numbers in decimal notation, its value is the smallest number greater than every number in the increasing sequence 0.9, 0.99, 0.999, and so on. It can be proved that this number is 1; that is, 0.999... = 1. Despite common misconceptions, 0.999... is not "almost exactly 1" or "very, very nearly but not quite 1"; rather, "0.999..." and "1" represent exactly the same number.
Note
the world of infinity requires a lot of setting aside of what we think is our reality.
the number of proofs on this page plus a discussion on the study of people disbelieving the results lays bare this challenge.
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