what is natural number
Answers
In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country"). In common mathematical terminology, words colloquially used for counting are "cardinal numbers" and words connected to ordering represent "ordinal numbers". The natural numbers can, at times, appear as a convenient set of codes (labels or "names"); that is, as what linguists call nominal numbers, foregoing many or all of the properties of being a number in a mathematical sense.
Some definitions, including the standard ISO 80000-2,begin the natural numbers with 0, corresponding to the non-negative integers 0, 1, 2, 3, …, whereas others start with 1, corresponding to the positive integers 1, 2, 3, ….Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, but in other writings, that term is used instead for the integers (including negative integers).
The natural numbers are a basis from which many other number sets may be built by extension: the integers (Grothendieck group), by including (if not yet in) the neutral element 0 and an additive inverse (−n) for each nonzero natural number n; the rational numbers, by including a multiplicative inverse (1/n) for each nonzero integer n (and also the product of these inverses by integers); the real numbers by including with the rationals the limits of Cauchy sequences of rationals; the complex numbers, by including with the real numbers the unresolved square root of minus one (and also the sums and products ; and so on.These chains of extensions make the natural numbers canonically embedded (identified) in the other number systems.
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Answer:
Natural number define as ➡
A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number.
Ex ----- 1,2,3,4.............
Some case 0 is natural number or not.....?
ans---- So, 0 is natural not negative or positive .
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