Math, asked by aryangautam523, 3 months ago

please send me all definitions related number system​

Answers

Answered by MathLoverHannu
82

Number Systems: Naturals, Integers, Rationals, Irrationals , and real numbers.

Step-by-step explanation:

 \tt \huge \fbox \red {Natural  \:  \: numbers}

  • 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.

 \tt \huge \fbox \red{whole \: numbers}

Number starts from 0 and go to infinity.

Examples- 0,3,4,7. etc..

 \tt \huge \fbox \red{ Integers}

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

 \tt \huge \fbox \red{ Rational Numbers}

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.

 \tt \huge \fbox \red{Irrational Numbers}

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...

 \tt \huge \fbox \red{Real Numbers}

The real numbers is the set of numbers containing all of the rational numbers and all of the irrational numbers.

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