Definition of Natural Number
Miscellanea / / July 04, 2021
By Florencia Ucha, in Mar. 2011
A number it's a sign or a set of these that allow expressing a certain quantity in relation to its UnitMeanwhile, there are different groups of numbers, such as: integer numbers, real numbers, natural numbers, among others.
The natural numbers turn out to be those that allow us to count the elements that are in a set and it is then the first set of numbers that the first human beings used to count objects. 1, 2, 4, 5, 7, and 9 are examples of natural numbers.
Natural numbers are used for two purposes, on the one hand, to specify the size of a finite set and, on the other hand, to describe what position occupies an element within a sequence neat.
Its salient characteristics include: they do not have decimals, they are not fractional and they are always to the right of the zero on the real line and they are infinite because they include all the elements of a sequence, that is, 1, 2, 3, 4, 5, 6, 7 ...
It should be noted that the natural numbers constitute what is called a
closed set when they intervene in the operations of multiplication and addition, because when operating with any element, the result will always be a natural number... 3 + 1 = 2 and 6 x 5 = 35. On the other hand, the same does not happen when division and subtraction it's about the thing... 6 - 8 = - 2 and 2/3 = 0.666.And as for the place it occupies the zero there are controversies, for example, the theory of the sets includes and recognizes it as one more natural number, on the other hand, number theory excludes it from this group.
Subjects in Natural Number