There are several sets of numbers, which will be discussed below.
The set of real numbers
Effect  .
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Rational and irrational numbers form the real numbers. They are numbers that can be represented in the form of infinite decimal fractions.
The set of Complex numbers
Effect  .
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It is numbers of the form  , where
, where  ;
;  is the imaginary unit.
 is the imaginary unit.
The set of Rational numbers
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Combining whole numbers with a decimal, get a rational number
Rational numbers can be represented in the form of irreducible fraction  , where
, where  integer
 integer  is a natural number written as infinite periodic decimal fractions).
 is a natural number written as infinite periodic decimal fractions).
The set of Irrational numbers
They are numbers that can be written in the form of an infinite non-periodic decimal fractions.
The set of integers
Effect  .
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Include natural numbers, their opposites numbers (negative) and the number  .
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The set of natural numbers
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They are positive integers.
Fractional numbers
It's a numbers composed of integer fractions of a unit.
 — common fractions;
— common fractions;  — decimals
 — decimals 
