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{{pedoman}}
 
Artikel ini adalah suatu pedoman dan bukan kebijakan. Isi artikel ini merupakan kumpulan saran '''bagaimana membuat suatu artikel menjadi lebih baik'''. Anda dapat membantu melengkapi artikel ini dengan menambahkan pendapat Anda, atau menerjemahkan dari [[:en:Wikipedia:Guide to writing better articles|artikel aslinya]].
REAL NUMBER
 
A real number in mathematics is one that can be written in decimal form, such as:
2.4871773339… or 3.25678.  Real numbers contain rational numbers, such as 42 and −23/129, and irrational numbers such as π and 2/^2 . Rational numbers are represented in finite decimal form, while irrationals have a non-terminating decimal representation: they recur. Real numbers can also be represented as one point on a number line. A popular definition for real numbers includes the equivalence classes from rational Cauchy sequences, Dedekind cuts and Archimides sequences. Real numbers differ from complex numbers that have imaginary number 
 
Field axiom
 
Real numbers comply with the following axioms for addition and multiplication operations fulfill the following axioms.
For example let x, y and z be members of
a set of real numbers R, and the operation x+y as addition, and also xy as multiplication. Thus:
 
Axiom1 (communicative law): x+y = y+x, and  xy = yx
Axiom 2 (associative law ): x+(y+z) = (x+y)+z and x(yz) = (xy)z
Axiom 3 (distributive law): x(y+z) = (xy + xz)
Axiom 4: Existence of the identity element. There are two different real numbers, represented as 0 and 1, such that for every real number x we get 0+x=x and1.x=x.
Axiom 5: Existence of the negative, or inverse for an addition. For every real number x, there is a real number y such that x+y=0. We can also represent y as -x.
Axiom 6: Existence of the reciprocal, or multiplicative inverse. For every non-zero real number x, there is a real number y such that xy=1. We can represent y as 1/x.
Axiom 7: x+y and xy is member R+
Axiom 8: for every x unequal with 0,x member R+ or -x member R+ but not possible both directly
Axiom 9:0 is not part R+
 
Sets that satisfy these properties are called fields, and therefore the above axioms
are called the field axioms
 
Ordering Axiom
 
We assume there is a set R+, called the positive numbers that forms a partial set of R. For example both x and y are members of R+.
These partial sets comply with the ordering axioms: Axiom 10: Every set of real numbers S has a limit or highest value: there is a real number B Axiom of completeness
such that B=sup(S
 
Translated by: Dedi Erianto Manullang
 
== Gaya dan nada penulisan ==
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