please send me all definitions related number system
Answers
Number Systems: Naturals, Integers, Rationals, Irrationals , and real numbers.
Step-by-step explanation:
- The natural (or counting) numbers are 1,2,3,4,5, etc. There are infinitely many natural numbers. The set of natural numbers, {1,2,3,4,5,...}, is sometimes written N for short.
Number starts from 0 and go to infinity.
Examples- 0,3,4,7. etc..
The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero.
{...,−5,−4,−3,−2,−1,0,1,2,3,4,5,...}
The set of integers is sometimes written J or Z for short
The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 13 and −11118 are both rational numbers. All the integers are included in the rational numbers, since any integer z can be written as the ratio z1.
An irrational number is a number that cannot be written as a ratio (or fraction). In decimal form, it never ends or repeats.
Example- √2 ,√3 etc...
The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers.