extended real number system

noun

The real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number.

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Meanings

nounextended real number system (plural real number systems)

plural real number systems

  1. mathematicsThe real number system adjoined with two extra symbols: ∞ and −∞, inheriting the ordering of the real number system, and defining −∞ to be less than any real number, and ∞ to be larger than any real number.
Cite this entry
APA

extended real number system. (n.d.). In WatkinsX Dictionary. Retrieved November 5, 2026, from https://dictionary.watkinsx.com/word/extended%20real%20number%20system

MLA

“extended real number system.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/extended%20real%20number%20system. Accessed November 5, 2026.

Chicago

WatkinsX Dictionary, s.v. “extended real number system,” accessed November 5, 2026, https://dictionary.watkinsx.com/word/extended%20real%20number%20system.

Source: extended real number system on Wiktionary, CC BY-SA 4.0.