![]() More generally, every nonzero terminating decimal has two equal representations (for example, 8.32 and 8.31999.), which is a property of all positional numeral system representations regardless of base. can have the same meaning, a different definition, or be undefined. The technique used depends on the target audience, background assumptions, historical context, and preferred development of the real numbers, the system within which 0.999. There are many ways of showing this equality, from intuitive arguments to mathematically rigorous proofs. In other words, "0.999." is not "almost exactly" or "very, very nearly but not quite" 1 – rather, "0.999." and "1" represent exactly the same number. ) that is, the supremum of this sequence. This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999. 9, in repeating decimal notation) denotes the repeating decimal consisting of an unending sequence of 9s after the decimal point. The repeating decimal continues infinitely
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