The Dewey decimal system is the way the library is organized. Has almost nothing to do with math.
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a) This could be a special numbering system, such as the Dewey Decimal System used in libraries. Such as 620.105.3.1.b) Or do you refer to repeating decimals, such as 6.304 304 304.
Melvil Dewey
Two of them are terminating decimals and recurring decimals
You need decimals when you measure and fractions. You need decimals, because to measure and fractions. Also, so whole numbers could exist if there are decimals. There will be no math if there's no decimals.
terminating decimals repeating decimals