Concrete numberFrom Wikipedia, the free encyclopediaNot to be confused with C-number.A concrete number is a number associated with the things being counted, in contrast to an abstract number which is a number as a single entity. For example, "five apples" and "half of a pie" are concrete numbers while "five" and "one half" are abstract numbers. In mathematics the term "number" is usually taken to mean an abstract number. A denominate number is a type of concrete number with a unit of measure attached with it. For example, 5inches is a denominate number because it has the unit inches after it.Contents [hide]1 History2 Denominate numbers3 See also4 ReferencesHistory[edit]Mathematicians in ancient Greece were primarily interested in abstract numbers while writers of instructional books for practical use were not concerned with such distinctions, so the terminology distinguishing the two types of number was slow to appear. In the 16th century textbooks began to make the distinction. This has appeared with increasing frequency until modern times.[1]Denominate numbers[edit]Denominate numbers are further classified as either simple, meaning a single unit is given, or compound, meaning multiple units are given. For example, 6 kg. is a simple denominant number while 324 yards 1 foot 8 inches is a compound denominate number. The process of converting a denominate numbers to an equivalent form that uses a different unit is called reduction. More specifically, reduction to a lower or higher unit of measurement is called reduction to lower or higher denominations. Reduction to a lower denomination is accomplished by multiplying by the number of lower units contained in each higher unit. In the case of a compound number the products are then added together. For example, 1 hour 23 minutes 20 seconds is 13600+2360+20=5000 seconds. Similarly, division is used to reduce to a higher denomination and remainders can be applied to the next highest unit to form compound numbers. Addition and subtraction of compound numbers can be performed by grouping the amounts associated with each unit and performing the necessary carry and borrow operations. Multiplication and division by a pure number is again similar.See also[edit]Dimensional analysisUnits of measurementReferences[edit]Jump up^ Smith, D.E. (1953). History of Mathematics. Vol. II. Dover. pp.1112. ISBN0-486-20430-8. (for section)Authority controlNDL: 00567569Categories: NumbersMeasurementNavigation menuCreate accountNot logged inTalkContributionsLog inArticleTalkReadEditView historyMain pageContentsFeatured contentCurrent eventsRandom articleDonate to WikipediaWikipedia storeInteractionHelpAbout WikipediaCommunity portalRecent changesContact pageToolsWhat links hereRelated changesUpload fileSpecial pagesPermanent linkPage informationWikidata itemCite this pagePrint/exportCreate a bookDownload as PDFPrintable versionLanguagesNorsk nynorskEdit linksThis page was last modified on 19 September 2015, at 17:11.Text is available under the Creative Commons Attribution-ShareAlike License; additional terms may apply. By using this site, you agree to the Terms of Use and Privacy Policy. Wikipedia is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization.Privacy policyAbout WikipediaDisclaimersContact WikipediaDevelopersMobile view