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A decimal representation of a non-negative real number r is its expression as a sequence of symbols consisting of decimal digits traditionally written with a single separator: Commonly, if The sequence of the —the digits after the dot—is generally infinite. If it is finite, the lacking digits are assumed to be 0. If all are … See more
The natural number , is called the integer part of r, and is denoted by a0 in the remainder of this article. The sequence of the represents the number See more
Finite
The decimal expansion of non-negative real number x will end in zeros (or in nines) if, and only if, x is a rational number whose denominator is of the form 2 5 , where m and n are non-negative integers.
Proof: See moreSome real numbers have two infinite decimal representations. For example, the number 1 may be equally represented by 1.000... as by See more
Every decimal representation of a rational number can be converted to a fraction by converting it into a sum of the integer, non-repeating, and repeating parts and then converting that sum to a single fraction with a common denominator.
For example to … See more• Apostol, Tom (1974). Mathematical analysis (Second ed.). Addison-Wesley.
• Savard, John J. G. (2018) [2006]. "Decimal Representations". quadibloc. Archived from the original on 2018 … See moreWikipedia text under CC-BY-SA license Decimal representation - Wikipedia
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