Whole-number

/hoʊl ˈnʌmbər/ noun

Definition

The set of numbers consisting of zero and all positive integers: {0, 1, 2, 3, 4, ...}. These are the numbers used for counting objects when we include the possibility of having none.

Etymology

From Old English 'hal' meaning 'entire' or 'complete,' emphasizing that these numbers represent complete units without fractional parts. The mathematical distinction between whole numbers and natural numbers became important as set theory developed.

Kelly Says

The inclusion of zero in whole numbers was revolutionary - ancient mathematicians struggled with the concept of 'nothing' as a number! Zero's addition to the counting numbers created a complete system for arithmetic and laid the groundwork for algebra and modern mathematics.

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