number
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A number is a mathematical concept used to represent quantity, order, or measurement in a way that allows us to count, compare, and perform calculations. Numbers matter because they form the foundation for mathematics, science, commerce, and countless everyday activities where we need to quantify or organize things.
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Wikidata facts
- Subclass of
- mathematical object
- Part of
- set of numbers
- Image
- Numbers grid in NY.jpg
Show 9 more facts
- P910
- Category:Numbers
- P460
- scalar
- P5008
- Wikipedia:Vital articles/Level/4 (2022)
- P1557
- quantity
- P1889
Article
40 sectionsContents
- History
- First use of numbers
- Numerals
- <span class="anchor" id="History of zero"></span> Zero
- <span class="anchor" id="History of negative numbers"></span> Negative numbers
- <span class="anchor" id="History of rational numbers"></span> Rational numbers
- <span class="anchor" id="History of irrational numbers"></span> Real numbers and irrational numbers
- <span class="anchor" id="History of transcendental numbers and reals"></span> Transcendental numbers and reals
- <span class="anchor" id="History of infinity and infinitesimals"></span> Infinity and infinitesimals
- <span class="anchor" id="History of complex numbers"></span> Complex numbers
- <span class="anchor" id="History of prime numbers"></span> Prime numbers
- Cultural and symbolic significance
- <span class="anchor" id="Classification"></span><span class="anchor" id="Classification of numbers"></span> Main classification
- Natural numbers
- Integers
- Rational numbers
- Real numbers
- Repeating decimal
- Irrational numbers
- Set theory
- Complex numbers
- Subclasses of the integers
- Even and odd numbers
- Prime numbers
- Other classes of integers
- Subclasses of the complex numbers
- Algebraic, irrational and transcendental numbers
- Periods and exponential periods
- Constructible numbers
- Computable numbers
- Extensions of the concept
- ''p''-adic numbers
- Hypercomplex numbers
- Transfinite numbers
- Nonstandard numbers
- See also
- Notes
- References
- Further reading
- External links
thumb|Set inclusions between the [[natural numbers ]]
A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers: 1, 2, 3, 4, 5, and so forth. Individual numbers can be represented in spoken or written language with number words, or with dedicated symbols called numerals; for example, "eleven" is a number word and "11" is the corresponding numeral. As only a limited list of symbols can be memorized, a numeral system is used to represent any number in an organized way. The most common representation is the Hindu–Arabic numeral system, a decimal system which can display any non-negative integer using a combination of ten Arabic numeral symbols called digits. Numerals can be used for counting (as with cardinal number of a collection or set), for labelling (as with telephone numbers), for ordering (as with serial numbers), and for codes (as with ISBNs). In common usage, however, a numeral is not clearly distinguished from the number that it represents.