﻿14:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.120102:0.967458:0.179272:0.967458:0.179272:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números reales constituyen un conjunto que incluye a los números naturales, :@0.287490:0.150300:0.907671:0.150300:0.907671:0.133911:0.287490:0.133911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros,  racionales  e  irracionales.  Los  números  reales  son  fundamentales  en  las :@0.287490:0.166897:0.907674:0.166897:0.907674:0.150508:0.287490:0.150508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas y tienen aplicaciones en todas las áreas de la ciencia, así como en :@0.287490:0.183493:0.907617:0.183493:0.907617:0.167104:0.287490:0.167104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
situaciones de la vida cotidiana.:@0.287490:0.200089:0.518831:0.200089:0.518831:0.183700:0.287490:0.183700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las calculadoras de bolsillo permiten representar los números (por ejemplo,  2 ) :@0.287490:0.225067:0.907676:0.225073:0.907676:0.208684:0.287490:0.208678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hasta con 9 o 10 cifras decimales; pero existen programas específicos que permiten :@0.287494:0.241670:0.907617:0.241670:0.907617:0.225281:0.287494:0.225281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
obtener  2 hasta con 32 cifras decimales.:@0.287494:0.260783:0.594742:0.260781:0.594742:0.244392:0.287494:0.244394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para comenzar este tema, es necesario precisar algunas nociones básicas. :@0.287502:0.284500:0.826892:0.284500:0.826892:0.268111:0.287502:0.268111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El signo:@0.287502:0.308219:0.346231:0.308219:0.346231:0.291830:0.287502:0.291830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.352238:0.308799:0.365543:0.308799:0.365543:0.291193:0.352238:0.291193:0.000000
 representa al conjunto de los números reales. Para indicar que   es un :@0.365543:0.308219:0.907649:0.308219:0.907649:0.291830:0.365543:0.291830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.848662:0.308219:0.856126:0.308219:0.856126:0.292825:0.848662:0.292825:0.000000
número real, escribiremos :@0.287502:0.324815:0.494684:0.324815:0.494684:0.308426:0.287502:0.308426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.501429:0.324815:0.508892:0.324815:0.508892:0.309422:0.501429:0.309422:0.000000
∈  ℝ:@0.519672:0.325396:0.560637:0.325396:0.560637:0.307790:0.519672:0.307790:0.000000:0.000000:0.000000:0.000000
 y para expresar su negación, empleamos:@0.560637:0.324815:0.903630:0.324815:0.903630:0.308426:0.560637:0.308426:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.287502:0.341411:0.294965:0.341411:0.294965:0.326018:0.287502:0.326018:0.000000
∉ ℝ:@0.299001:0.341992:0.332263:0.341992:0.332263:0.324386:0.299001:0.324386:0.000000:0.000000:0.000000
, que se lee:  “  no es un número real”. :@0.332263:0.341411:0.607365:0.341411:0.607365:0.325022:0.332263:0.325022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.428932:0.341411:0.436396:0.341411:0.436396:0.326018:0.428932:0.326018:0.000000
Sean  ,:@0.287502:0.365130:0.338031:0.365130:0.338031:0.348741:0.287502:0.348741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.327361:0.365130:0.348829:0.365130:0.348829:0.349737:0.327361:0.349737:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.352865:0.365711:0.386127:0.365711:0.386127:0.348105:0.352865:0.348105:0.000000:0.000000:0.000000
. Para indicar su igualdad se escribirá   =  . Su negación será :@0.386127:0.365130:0.826415:0.365130:0.826415:0.348741:0.386127:0.348741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.656162:0.365130:0.663625:0.365130:0.663625:0.349737:0.656162:0.349737:0.000000
y:@0.682679:0.365130:0.690161:0.365130:0.690161:0.349737:0.682679:0.349737:0.000000
x:@0.826415:0.365130:0.833878:0.365130:0.833878:0.349737:0.826415:0.349737:0.000000
∙ :@0.837917:0.365711:0.857874:0.365711:0.857874:0.348105:0.837917:0.348105:0.000000:0.000000
y.:@0.857874:0.365130:0.868028:0.365130:0.868028:0.349737:0.857874:0.349737:0.000000:0.000000
A continuación, analicemos la clasificación de los números reales.:@0.287521:0.388849:0.765215:0.388849:0.765215:0.372460:0.287521:0.372460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de  números :@0.294448:0.425169:0.473210:0.425169:0.473210:0.408545:0.294448:0.408545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales:@0.294448:0.441765:0.365431:0.441765:0.365431:0.425141:0.294448:0.425141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℕ:@0.369245:0.442346:0.383582:0.442346:0.383582:0.424740:0.369245:0.424740:0.000000
.:@0.383582:0.441765:0.386789:0.441765:0.386789:0.425376:0.383582:0.425376:0.000000
{:@0.511080:0.433241:0.519925:0.433241:0.519925:0.410660:0.511080:0.410660:0.000000
}:@0.580128:0.433241:0.588973:0.433241:0.588973:0.410660:0.580128:0.410660:0.000000
=:@0.499195:0.429494:0.509312:0.429494:0.509312:0.413921:0.499195:0.413921:0.000000
:@0.482706:0.428996:0.496011:0.428996:0.496011:0.412939:0.482706:0.412939:0.000000
1, 2 ,3,...:@0.519819:0.428816:0.580354:0.428816:0.580354:0.413147:0.519819:0.413147:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de  números :@0.294448:0.557113:0.473210:0.557113:0.473210:0.540489:0.294448:0.540489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros :@0.294448:0.573709:0.356217:0.573709:0.356217:0.557085:0.294448:0.557085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℤ:@0.356217:0.574290:0.368508:0.574290:0.368508:0.556684:0.356217:0.556684:0.000000
.:@0.368508:0.573709:0.371715:0.573709:0.371715:0.557320:0.368508:0.557320:0.000000
Se designa con :@0.482704:0.480078:0.598096:0.480078:0.598096:0.463689:0.482704:0.463689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.601082:0.480254:0.613373:0.480254:0.613373:0.464197:0.601082:0.464197:0.000000
+:@0.613856:0.472804:0.619719:0.472804:0.619719:0.463779:0.613856:0.463779:0.000000
al conjunto de los enteros positivos y :@0.623225:0.480074:0.898659:0.480074:0.898659:0.463685:0.623225:0.463685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se define como: :@0.482696:0.499187:0.603194:0.499187:0.603194:0.482799:0.482696:0.482799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.606186:0.499887:0.618478:0.499887:0.618478:0.483830:0.606186:0.483830:0.000000
:@0.679012:0.499887:0.692317:0.499887:0.692317:0.483830:0.679012:0.483830:0.000000
{:@0.640790:0.502151:0.649635:0.502151:0.649635:0.483775:0.640790:0.483775:0.000000
}:@0.735287:0.502151:0.744132:0.502151:0.744132:0.483775:0.735287:0.483775:0.000000
=:@0.628906:0.500384:0.639023:0.500384:0.639023:0.484811:0.628906:0.484811:0.000000
∈:@0.662518:0.500384:0.675657:0.500384:0.675657:0.484811:0.662518:0.484811:0.000000
≥:@0.718114:0.500384:0.728231:0.500384:0.728231:0.484811:0.718114:0.484811:0.000000
+:@0.618541:0.492438:0.624404:0.492438:0.624404:0.483413:0.618541:0.483413:0.000000
n:@0.647734:0.499707:0.657611:0.499707:0.662415:0.483318:0.652538:0.483318:0.000000
n:@0.703699:0.499707:0.713576:0.499707:0.718380:0.483318:0.708503:0.483318:0.000000
/:@0.696073:0.499707:0.702541:0.499707:0.702541:0.483318:0.696073:0.483318:0.000000
1 .:@0.729630:0.499707:0.747597:0.499707:0.747597:0.483318:0.729630:0.483318:0.000000:0.000000:0.000000
{:@0.787221:0.502175:0.796066:0.502175:0.796066:0.479594:0.787221:0.479594:0.000000
}:@0.855495:0.502175:0.864341:0.502175:0.864341:0.479594:0.855495:0.479594:0.000000
=:@0.775337:0.498429:0.785454:0.498429:0.785454:0.482856:0.775337:0.482856:0.000000
+:@0.764972:0.490482:0.770835:0.490482:0.770835:0.481457:0.764972:0.481457:0.000000
:@0.752617:0.497931:0.764909:0.497931:0.764909:0.481874:0.752617:0.481874:0.000000
1, 2, 3,... .:@0.794817:0.497752:0.867809:0.497752:0.867809:0.481363:0.794817:0.481363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designa con :@0.482708:0.526685:0.598100:0.526685:0.598100:0.510296:0.482708:0.510296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.601082:0.526861:0.613373:0.526861:0.613373:0.510804:0.601082:0.510804:0.000000
−:@0.613856:0.519413:0.619719:0.519413:0.619719:0.510387:0.613856:0.510387:0.000000
al conjunto de los enteros negativos :@0.623225:0.526681:0.893021:0.526681:0.893021:0.510292:0.623225:0.510292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y se define como: :@0.482696:0.545794:0.615338:0.545794:0.615338:0.529405:0.482696:0.529405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.652736:0.548701:0.661581:0.548701:0.661581:0.523472:0.652736:0.523472:0.000000
}:@0.761737:0.548701:0.770582:0.548701:0.770582:0.523472:0.761737:0.523472:0.000000
=−:@0.639334:0.546040:0.671970:0.546040:0.671970:0.528019:0.639334:0.528019:0.000000:0.000000
∈>:@0.708438:0.546040:0.749292:0.546040:0.749292:0.528019:0.708438:0.528019:0.000000:0.000000
−:@0.627594:0.538139:0.633457:0.538139:0.633457:0.527695:0.627594:0.527695:0.000000
n/n:@0.673152:0.545445:0.706012:0.545445:0.706012:0.529056:0.673152:0.529056:0.000000:0.000000:0.000000
0:@0.752616:0.545445:0.761608:0.545445:0.761608:0.529056:0.752616:0.529056:0.000000
:@0.486033:0.565330:0.498324:0.565330:0.498324:0.549273:0.486033:0.549273:0.000000
{:@0.522940:0.567699:0.531786:0.567699:0.531786:0.547298:0.522940:0.547298:0.000000
}:@0.608168:0.567699:0.617013:0.567699:0.617013:0.547298:0.608168:0.547298:0.000000
=:@0.509957:0.565828:0.520074:0.565828:0.520074:0.550255:0.509957:0.550255:0.000000
− −−:@0.544933:0.565828:0.602685:0.565828:0.602685:0.550255:0.544933:0.550255:0.000000:0.000000:0.000000:0.000000
−:@0.498807:0.557881:0.504670:0.557881:0.504670:0.548856:0.498807:0.548856:0.000000
..., 3, 2, 1.:@0.530898:0.565151:0.620481:0.565151:0.620481:0.548762:0.530898:0.548762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, el conjunto de los números enteros está :@0.482706:0.588628:0.834355:0.588628:0.834355:0.572239:0.482706:0.572239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formado por: :@0.482706:0.605224:0.582932:0.605224:0.582932:0.588836:0.482706:0.588836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.485691:0.631599:0.527098:0.631599:0.527098:0.615542:0.485691:0.615542:0.000000:0.000000
:@0.598137:0.631599:0.610428:0.631599:0.610428:0.615542:0.598137:0.615542:0.000000
{}:@0.553746:0.633963:0.579711:0.633963:0.579711:0.613563:0.553746:0.613563:0.000000:0.000000
=:@0.501028:0.632092:0.511145:0.632092:0.511145:0.616519:0.501028:0.616519:0.000000
∪:@0.537828:0.632092:0.551981:0.632092:0.551981:0.616519:0.537828:0.616519:0.000000
∪:@0.581446:0.632092:0.595599:0.632092:0.595599:0.616519:0.581446:0.616519:0.000000
−:@0.527571:0.624144:0.533434:0.624144:0.533434:0.615119:0.527571:0.615119:0.000000
+:@0.610915:0.624144:0.616778:0.624144:0.616778:0.615119:0.610915:0.615119:0.000000
0:@0.562122:0.631414:0.571115:0.631414:0.571115:0.615025:0.562122:0.615025:0.000000
.:@0.618566:0.631414:0.621773:0.631414:0.621773:0.615025:0.618566:0.615025:0.000000
{:@0.658976:0.635538:0.667822:0.635538:0.667822:0.612957:0.658976:0.612957:0.000000
}:@0.857497:0.635538:0.866343:0.635538:0.866343:0.612957:0.857497:0.612957:0.000000
=:@0.647094:0.631791:0.657211:0.631791:0.657211:0.616218:0.647094:0.616218:0.000000
−:@0.687985:0.631791:0.698102:0.631791:0.698102:0.616218:0.687985:0.616218:0.000000
−:@0.718243:0.631791:0.728360:0.631791:0.728360:0.616218:0.718243:0.616218:0.000000
−:@0.748925:0.631791:0.759042:0.631791:0.759042:0.616218:0.748925:0.616218:0.000000
:@0.632131:0.631293:0.644422:0.631293:0.644422:0.615236:0.632131:0.615236:0.000000
..., 3, 2, 1, 0, 1, 2, 3,... .:@0.667309:0.631114:0.869810:0.631114:0.869810:0.614725:0.667309:0.614725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de  números :@0.294444:0.691192:0.473207:0.691192:0.473207:0.674568:0.294444:0.674568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales:@0.294444:0.707789:0.371933:0.707789:0.371933:0.691165:0.294444:0.691165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℚ:@0.375968:0.708370:0.391318:0.708370:0.391318:0.690764:0.375968:0.690764:0.000000
. :@0.391318:0.707789:0.398560:0.707789:0.398560:0.691400:0.391318:0.691400:0.000000:0.000000
Se define como:  :@0.482701:0.700002:0.609004:0.700002:0.609004:0.683613:0.482701:0.683613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.611989:0.699864:0.626326:0.699864:0.626326:0.683807:0.611989:0.683807:0.000000
=:@0.629532:0.700279:0.639649:0.700279:0.639649:0.682258:0.629532:0.682258:0.000000
a:@0.654557:0.690805:0.663826:0.690805:0.663826:0.674444:0.654557:0.674444:0.000000
b:@0.654354:0.710140:0.663624:0.710140:0.663624:0.693779:0.654354:0.693779:0.000000
/ ,:@0.668530:0.699685:0.691104:0.699685:0.691104:0.683297:0.668530:0.683297:0.000000:0.000000:0.000000
a b:@0.678002:0.699685:0.703911:0.699685:0.703911:0.683324:0.678002:0.683324:0.000000:0.000000:0.000000
∈:@0.707523:0.700280:0.720662:0.700280:0.720662:0.682259:0.707523:0.682259:0.000000
\:@0.723592:0.699865:0.735883:0.699865:0.735883:0.683808:0.723592:0.683808:0.000000
 con b  0 .:@0.736584:0.699685:0.826087:0.699685:0.826087:0.683297:0.736584:0.683297:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠ ⎬:@0.785454:0.700280:0.822659:0.702438:0.822659:0.684417:0.785454:0.682259:0.000000:0.000000:0.000000
⎧:@0.643524:0.692577:0.652627:0.692577:0.652627:0.674556:0.643524:0.674556:0.000000
⎨:@0.643524:0.702438:0.652627:0.702438:0.652627:0.684417:0.643524:0.684417:0.000000
⎩:@0.643524:0.712299:0.652627:0.712299:0.652627:0.694278:0.643524:0.694278:0.000000
⎫:@0.813556:0.692577:0.822659:0.692577:0.822659:0.674556:0.813556:0.674556:0.000000
⎭:@0.813556:0.712299:0.822659:0.712299:0.822659:0.694278:0.813556:0.694278:0.000000
Conjunto  de  números :@0.294449:0.764868:0.473212:0.764868:0.473212:0.748244:0.294449:0.748244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales:@0.294449:0.781464:0.382349:0.781464:0.382349:0.764840:0.294449:0.764840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.389365:0.780392:0.403702:0.780392:0.403702:0.764335:0.389365:0.764335:0.000000
'.:@0.404660:0.780212:0.411644:0.780212:0.411644:0.763823:0.404660:0.763823:0.000000:0.000000
En forma conjuntista, se define como el conjunto de :@0.482706:0.753809:0.869939:0.753809:0.869939:0.737420:0.482706:0.737420:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales menos el conjunto de números :@0.482706:0.770405:0.833692:0.770405:0.833692:0.754016:0.482706:0.754016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales.  \  .:@0.482706:0.789311:0.610297:0.789311:0.610297:0.772922:0.482706:0.772922:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ  ℚ:@0.563380:0.789892:0.607091:0.789892:0.607091:0.772286:0.563380:0.772286:0.000000:0.000000:0.000000:0.000000
Conjunto  de  números :@0.294448:0.844627:0.473210:0.844627:0.473210:0.828003:0.294448:0.828003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales :@0.294448:0.861224:0.343189:0.861224:0.343189:0.844599:0.294448:0.844599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.343189:0.861804:0.356494:0.861804:0.356494:0.844198:0.343189:0.844198:0.000000
.:@0.356494:0.861224:0.359700:0.861224:0.359700:0.844835:0.356494:0.844835:0.000000
Se define en forma de conjunto como::@0.482704:0.838542:0.765123:0.838542:0.765123:0.822153:0.482704:0.822153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.485690:0.861195:0.530653:0.861195:0.530653:0.845138:0.485690:0.845138:0.000000:0.000000
:@0.549763:0.861195:0.564099:0.861195:0.564099:0.845138:0.549763:0.845138:0.000000
=:@0.502548:0.861692:0.512664:0.861692:0.512664:0.846120:0.502548:0.846120:0.000000
∪:@0.533064:0.861692:0.547216:0.861692:0.547216:0.846120:0.533064:0.846120:0.000000
'.:@0.565054:0.861015:0.572038:0.861015:0.572038:0.844626:0.565054:0.844626:0.000000:0.000000
El conjunto de los números reales :@0.286308:0.082517:0.862939:0.082517:0.862939:0.045643:0.286308:0.045643:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.862537:0.083784:0.891565:0.083784:0.891565:0.045371:0.862537:0.045371:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
El trabajo en grupo es :@0.099667:0.198941:0.248845:0.198941:0.248845:0.184042:0.099667:0.184042:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy importante para :@0.102732:0.214029:0.248845:0.214029:0.248845:0.199130:0.102732:0.199130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lograr objetivos y tu :@0.112633:0.229117:0.248845:0.229117:0.248845:0.214218:0.112633:0.214218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aporte es fundamental. :@0.090252:0.244204:0.248843:0.244204:0.248843:0.229305:0.090252:0.229305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Te gusta o no trabajar :@0.101007:0.262850:0.248192:0.262850:0.248192:0.248856:0.101007:0.248856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en equipo? Justifica :@0.122098:0.277938:0.248192:0.277938:0.248192:0.263944:0.122098:0.263944:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tu respuesta.:@0.165101:0.293025:0.245178:0.293025:0.245178:0.279032:0.165101:0.279032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
        Socioemocional:@0.095168:0.166499:0.244811:0.166499:0.244811:0.149599:0.095168:0.149599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de números :@0.085175:0.414181:0.248845:0.414181:0.248845:0.399282:0.085175:0.399282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales  es mucho más :@0.089548:0.429269:0.248846:0.429269:0.248846:0.414370:0.089548:0.414370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ :@0.131630:0.429797:0.147913:0.429797:0.147913:0.413792:0.131630:0.413792:0.000000:0.000000
grande que el conjunto :@0.087839:0.444357:0.248845:0.444357:0.248845:0.429458:0.087839:0.429458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los números enteros :@0.073516:0.459444:0.234002:0.459444:0.234002:0.444545:0.073516:0.444545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℤ:@0.234002:0.459972:0.245176:0.459972:0.245176:0.443967:0.234002:0.443967:0.000000
y que el conjunto de los :@0.084924:0.474532:0.248845:0.474532:0.248845:0.459633:0.084924:0.459633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales  . :@0.094389:0.489619:0.248846:0.489619:0.248846:0.474720:0.094389:0.474720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℚ:@0.228308:0.490147:0.242263:0.490147:0.242263:0.474142:0.228308:0.474142:0.000000
De tal manera que: :@0.118781:0.504707:0.248846:0.504707:0.248846:0.489808:0.118781:0.489808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℕ⊂ℤ⊂ℚ⊂ℝ:@0.150141:0.520323:0.242263:0.520323:0.242263:0.504317:0.150141:0.504317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.242263:0.519795:0.245178:0.519795:0.245178:0.504896:0.242263:0.504896:0.000000
Escribe un número que :@0.100537:0.538440:0.248191:0.538440:0.248191:0.524447:0.100537:0.524447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pertenezca a estos cuatro :@0.083869:0.553528:0.248190:0.553528:0.248190:0.539534:0.083869:0.539534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjuntos a la vez.:@0.128882:0.568616:0.245176:0.568616:0.245176:0.554622:0.128882:0.554622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.116218:0.381739:0.223759:0.381739:0.223759:0.364839:0.116218:0.364839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⊂:@0.139436:0.725923:0.153391:0.725923:0.153391:0.709917:0.139436:0.709917:0.000000
: subconjunto:@0.153391:0.725395:0.245176:0.725395:0.245176:0.710496:0.153391:0.710496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.185371:0.744569:0.199326:0.744569:0.199326:0.728563:0.185371:0.728563:0.000000
: unión:@0.199326:0.744041:0.245177:0.744041:0.245177:0.729142:0.199326:0.729142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
/: tal que:@0.186611:0.762686:0.245177:0.762686:0.245177:0.747787:0.186611:0.747787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\: diferencia:@0.167446:0.781332:0.245177:0.781332:0.245177:0.766433:0.167446:0.766433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.144713:0.800506:0.158668:0.800506:0.158668:0.784500:0.144713:0.784500:0.000000
: pertenece a:@0.158668:0.799978:0.245176:0.799978:0.245176:0.785079:0.158668:0.785079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∙:@0.141095:0.819152:0.155049:0.819152:0.155049:0.803146:0.141095:0.803146:0.000000
: no es igual a:@0.155049:0.818624:0.245177:0.818624:0.245177:0.803725:0.155049:0.803725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≈:@0.132936:0.837797:0.146891:0.837797:0.146891:0.821792:0.132936:0.821792:0.000000
: aproximado a:@0.146891:0.837269:0.245177:0.837269:0.245177:0.822370:0.146891:0.822370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo escribirías el :@0.121327:0.855915:0.248193:0.855915:0.248193:0.841921:0.121327:0.841921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
símbolo no pertenece a...?:@0.082143:0.871003:0.245176:0.871003:0.245176:0.857009:0.082143:0.857009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101959:0.690048:0.238020:0.690048:0.238020:0.673148:0.101959:0.673148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.30. :@0.290067:0.937401:0.338404:0.937401:0.338404:0.926646:0.290067:0.926646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Establecer relaciones de orden en un conjunto de números reales utilizando la recta numérica y la simbología matemática :@0.338088:0.937401:0.903675:0.937401:0.903675:0.926972:0.338088:0.926972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(=, <, ≤, >, ≥). :@0.290067:0.947962:0.353098:0.947962:0.353098:0.937533:0.290067:0.937533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.31.:@0.352805:0.947962:0.398715:0.947962:0.398715:0.937207:0.352805:0.937207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calcular adiciones y multiplicaciones con números reales y con términos algebraicos aplicando propiedades :@0.398715:0.947962:0.903688:0.947962:0.903688:0.937533:0.398715:0.937533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en R (propiedad distributiva de la suma respecto del producto).:@0.290067:0.958524:0.584742:0.958524:0.584742:0.948094:0.290067:0.948094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.63.:@0.271916:0.215954:0.271916:0.185801:0.258020:0.185801:0.258020:0.215954:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000