﻿13:@0.942817:0.963886:0.964167:0.963886:0.964167:0.945448:0.942817:0.945448:0.000000:0.000000
Operaciones y propiedades en    :@0.096359:0.093988:0.443396:0.093988:0.443396:0.072179:0.096359:0.072179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.416988:0.094728:0.433921:0.094728:0.433921:0.072320:0.416988:0.072320:0.000000
Adición:@0.096359:0.120134:0.157189:0.120134:0.157189:0.103233:0.096359:0.103233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sea:@0.157189:0.120134:0.192457:0.120134:0.192457:0.104464:0.157189:0.104464:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.192459:0.126427:0.196495:0.126427:0.196495:0.110757:0.192459:0.110757:0.000000
+:@0.304770:0.120100:0.315753:0.120100:0.315753:0.104430:0.304770:0.104430:0.000000
. En este caso, se dice “la suma de números :@0.363712:0.120134:0.698677:0.120134:0.698677:0.104464:0.363712:0.104464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales es cerrada o cumple con la propiedad clausurativa”.:@0.096364:0.136730:0.516857:0.136730:0.516857:0.121060:0.096364:0.121060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la adición en :@0.096359:0.165923:0.399846:0.165923:0.399846:0.144114:0.096359:0.144114:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.399846:0.166663:0.416779:0.166663:0.416779:0.144255:0.399846:0.144255:0.000000
 :@0.416779:0.168441:0.421517:0.168441:0.421517:0.146631:0.416779:0.146631:0.000000
La adición de números reales cumple con las siguientes propiedades::@0.096359:0.188706:0.603462:0.188706:0.603462:0.173036:0.096359:0.173036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.175268:0.213438:0.253016:0.213438:0.253016:0.197860:0.175268:0.197860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.482239:0.213438:0.550036:0.213438:0.550036:0.197860:0.482239:0.197860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103986:0.235013:0.194297:0.235013:0.194297:0.219901:0.103986:0.219901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,   :@0.338537:0.236472:0.429787:0.236472:0.429787:0.222227:0.338537:0.222227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.405948:0.236472:0.426118:0.236472:0.426118:0.221598:0.405948:0.221598:0.000000:0.000000:0.000000
∈ ℝ:@0.429787:0.237000:0.460025:0.237000:0.460025:0.220995:0.429787:0.220995:0.000000:0.000000:0.000000
,   +   =   +  . :@0.460025:0.236472:0.552331:0.236472:0.552331:0.222227:0.460025:0.222227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.466609:0.236472:0.473393:0.236472:0.473393:0.221598:0.466609:0.221598:0.000000
y:@0.490715:0.236472:0.497517:0.236472:0.497517:0.221598:0.490715:0.221598:0.000000
y:@0.514839:0.236472:0.521640:0.236472:0.521640:0.221598:0.514839:0.221598:0.000000
x:@0.538962:0.236472:0.545747:0.236472:0.545747:0.221598:0.538962:0.221598:0.000000
Asociativa:@0.103986:0.258047:0.174933:0.258047:0.174933:0.242934:0.103986:0.242934:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , ,   :@0.338553:0.259493:0.442318:0.259493:0.442318:0.245248:0.338553:0.245248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.405965:0.259493:0.438649:0.259493:0.438649:0.244619:0.405965:0.244619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.442318:0.260021:0.472556:0.260021:0.472556:0.244016:0.442318:0.244016:0.000000:0.000000:0.000000
,   + (  +  ) = ( +  ) + :@0.472556:0.259493:0.619625:0.259493:0.619625:0.245248:0.472556:0.245248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.479139:0.259493:0.485924:0.259493:0.485924:0.244619:0.479139:0.244619:0.000000
y  z:@0.511354:0.259493:0.541408:0.259493:0.541408:0.244619:0.511354:0.244619:0.000000:0.000000:0.000000:0.000000
x  y:@0.567609:0.259493:0.597864:0.259493:0.597864:0.244619:0.567609:0.244619:0.000000:0.000000:0.000000:0.000000
z.:@0.619625:0.259493:0.629241:0.259493:0.629241:0.244619:0.619625:0.244619:0.000000:0.000000
Existencia del elemento neutro:@0.103986:0.289140:0.319570:0.289140:0.319570:0.274027:0.103986:0.274027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo :@0.338553:0.282527:0.405965:0.282527:0.405965:0.268282:0.338553:0.268282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.405965:0.282527:0.415765:0.282527:0.415765:0.267653:0.405965:0.267653:0.000000:0.000000
∈ ℝ:@0.415765:0.283055:0.446003:0.283055:0.446003:0.267049:0.415765:0.267049:0.000000:0.000000:0.000000
, existe 0 :@0.446003:0.282527:0.506362:0.282527:0.506362:0.268282:0.446003:0.268282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.506362:0.283055:0.536600:0.283055:0.536600:0.267049:0.506362:0.267049:0.000000:0.000000:0.000000
,, tal que :@0.536600:0.282527:0.595870:0.282527:0.595870:0.268282:0.536600:0.268282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.338553:0.298658:0.345338:0.298658:0.345338:0.283784:0.338553:0.283784:0.000000
 + 0 = 0 +   =  .:@0.345338:0.298658:0.447461:0.298658:0.447461:0.284413:0.345338:0.284413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413654:0.298658:0.420439:0.298658:0.420439:0.283784:0.413654:0.283784:0.000000
x:@0.437761:0.298658:0.444546:0.298658:0.444546:0.283784:0.437761:0.283784:0.000000
Existencia de opuestos aditivos:@0.103986:0.328305:0.320558:0.328305:0.320558:0.313192:0.103986:0.313192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada :@0.338553:0.321692:0.405747:0.321692:0.405747:0.307447:0.338553:0.307447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.405747:0.321692:0.415547:0.321692:0.415547:0.306818:0.405747:0.306818:0.000000:0.000000
∈ ℝ:@0.415547:0.322220:0.445785:0.322220:0.445785:0.306214:0.415547:0.306214:0.000000:0.000000:0.000000
, existe −:@0.445785:0.321692:0.504285:0.321692:0.504285:0.307447:0.445785:0.307447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.504285:0.321692:0.514085:0.321692:0.514085:0.306818:0.504285:0.306818:0.000000:0.000000
∈ ℝ:@0.514085:0.322220:0.544323:0.322220:0.544323:0.306214:0.514085:0.306214:0.000000:0.000000:0.000000
, tal que:@0.544323:0.321692:0.597009:0.321692:0.597009:0.307447:0.544323:0.307447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.597009:0.321692:0.600025:0.321692:0.600025:0.306818:0.597009:0.306818:0.000000
x:@0.338553:0.337823:0.345338:0.337823:0.345338:0.322949:0.338553:0.322949:0.000000
 + (− ) = −  +   = 0.:@0.345338:0.337823:0.474918:0.337823:0.474918:0.323578:0.345338:0.323578:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.377084:0.337823:0.383869:0.337823:0.383869:0.322949:0.377084:0.322949:0.000000
x:@0.415614:0.337823:0.422399:0.337823:0.422399:0.322949:0.415614:0.322949:0.000000
x:@0.439721:0.337823:0.446506:0.337823:0.446506:0.322949:0.439721:0.322949:0.000000
Producto:@0.096359:0.360451:0.169720:0.360451:0.169720:0.343550:0.096359:0.343550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  ,       :@0.096359:0.384170:0.187005:0.384170:0.187005:0.368500:0.096359:0.368500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.125770:0.384170:0.147385:0.384170:0.147385:0.367808:0.125770:0.367808:0.000000:0.000000:0.000000
∈ ℝ:@0.150850:0.384750:0.182969:0.384750:0.182969:0.367144:0.150850:0.367144:0.000000:0.000000:0.000000
 :@0.186434:0.384419:0.214075:0.384419:0.214075:0.366799:0.186434:0.366799:0.000000:0.000000
x y:@0.212785:0.384170:0.241293:0.384170:0.241293:0.367808:0.212785:0.367808:0.000000:0.000000:0.000000
   :@0.220248:0.384170:0.245328:0.384170:0.245328:0.368500:0.220248:0.368500:0.000000:0.000000:0.000000
∙  ∈ ℝ:@0.223713:0.384750:0.278019:0.384750:0.278019:0.367144:0.223713:0.367144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. En este caso, se dice “la multiplicación de números reales :@0.277374:0.384170:0.698654:0.384170:0.698654:0.368500:0.277374:0.368500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es cerrada o cumple con la propiedad clausurativa”. :@0.096322:0.400766:0.474563:0.400766:0.474563:0.385096:0.096322:0.385096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096359:0.426236:0.153719:0.426236:0.153719:0.411124:0.096359:0.411124:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el producto de :@0.096359:0.450482:0.271549:0.450482:0.271549:0.434812:0.096359:0.434812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π⋅:@0.274532:0.449903:0.291596:0.449903:0.291596:0.434330:0.274532:0.434330:0.000000:0.000000
2.:@0.305472:0.449225:0.318519:0.449225:0.318519:0.433555:0.305472:0.433555:0.000000:0.000000
Una aproximación de  2  es 1,4142 y una de   es 3,1416. Luego, :@0.096359:0.476722:0.574358:0.476722:0.574358:0.461052:0.096359:0.461052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.429371:0.477303:0.441663:0.477303:0.441663:0.459697:0.429371:0.459697:0.000000
π⋅:@0.279570:0.503638:0.296634:0.503638:0.296634:0.488065:0.279570:0.488065:0.000000:0.000000
≈:@0.323860:0.503638:0.333977:0.503638:0.333977:0.488065:0.323860:0.488065:0.000000
≈:@0.444008:0.503638:0.454125:0.503638:0.454125:0.488065:0.444008:0.488065:0.000000
21,4142(3,1416)4,4429.:@0.310510:0.502961:0.511334:0.502961:0.511334:0.487291:0.310510:0.487291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades del producto en :@0.096359:0.537183:0.402634:0.537183:0.402634:0.515374:0.096359:0.515374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.402634:0.537922:0.419568:0.537922:0.419568:0.515515:0.402634:0.515515:0.000000
 :@0.419570:0.539700:0.424308:0.539700:0.424308:0.517891:0.419570:0.517891:0.000000
El producto de números reales cumple con las siguientes propiedades::@0.096359:0.559965:0.614169:0.559965:0.614169:0.544296:0.096359:0.544296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.170282:0.584698:0.248030:0.584698:0.248030:0.569120:0.170282:0.569120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.473919:0.584698:0.541716:0.584698:0.541716:0.569120:0.473919:0.569120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103976:0.606273:0.194287:0.606273:0.194287:0.591160:0.103976:0.591160:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,   :@0.328559:0.607719:0.419809:0.607719:0.419809:0.593474:0.328559:0.593474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.395971:0.607719:0.416140:0.607719:0.416140:0.592845:0.395971:0.592845:0.000000:0.000000:0.000000
∈ ℝ:@0.419809:0.608247:0.450047:0.608247:0.450047:0.592242:0.419809:0.592242:0.000000:0.000000:0.000000
, :@0.450047:0.607719:0.456631:0.607719:0.456631:0.593474:0.450047:0.593474:0.000000:0.000000
xy = yx:@0.456631:0.607719:0.500003:0.607719:0.500003:0.592845:0.456631:0.592845:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.500003:0.607719:0.502918:0.607719:0.502918:0.593474:0.500003:0.593474:0.000000
Asociativa:@0.103976:0.629294:0.174923:0.629294:0.174923:0.614181:0.103976:0.614181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,  ,   :@0.328559:0.630740:0.432977:0.630740:0.432977:0.616495:0.328559:0.616495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.395971:0.630740:0.429308:0.630740:0.429308:0.615866:0.395971:0.615866:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.432977:0.631268:0.463215:0.631268:0.463215:0.615263:0.432977:0.615263:0.000000:0.000000:0.000000
,  (  ) = ( )  :@0.463215:0.630740:0.555772:0.630740:0.555772:0.616495:0.463215:0.616495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x yz:@0.469798:0.630740:0.498076:0.630740:0.498076:0.615866:0.469798:0.615866:0.000000:0.000000:0.000000:0.000000
xy z.:@0.524277:0.630740:0.552103:0.630740:0.552103:0.615866:0.524277:0.615866:0.000000:0.000000:0.000000:0.000000:0.000000
Existencia del elemento :@0.103976:0.650857:0.272587:0.650857:0.272587:0.635744:0.103976:0.635744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unidad:@0.103976:0.663430:0.153396:0.663430:0.153396:0.648317:0.103976:0.648317:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  :@0.328559:0.658589:0.405771:0.658589:0.405771:0.644344:0.328559:0.644344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.392302:0.658589:0.402102:0.658589:0.402102:0.643715:0.392302:0.643715:0.000000:0.000000
∈ ℝ:@0.405771:0.659117:0.436009:0.659117:0.436009:0.643112:0.405771:0.643112:0.000000:0.000000:0.000000
, existe 1 :@0.436009:0.658589:0.496368:0.658589:0.496368:0.644344:0.436009:0.644344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.496368:0.659117:0.526606:0.659117:0.526606:0.643112:0.496368:0.643112:0.000000:0.000000:0.000000
, tal que     1 = 1     =  .:@0.526606:0.658589:0.680711:0.658589:0.680711:0.644344:0.526606:0.644344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.582961:0.658589:0.589746:0.658589:0.589746:0.643715:0.582961:0.643715:0.000000
∙:@0.593247:0.659117:0.598825:0.659117:0.598825:0.643112:0.593247:0.643112:0.000000
∙:@0.638495:0.659117:0.644074:0.659117:0.644074:0.643112:0.638495:0.643112:0.000000
x:@0.647407:0.658589:0.654192:0.658589:0.654192:0.643715:0.647407:0.643715:0.000000
x:@0.671011:0.658589:0.677796:0.658589:0.677796:0.643715:0.671011:0.643715:0.000000
Existencia de opuestos :@0.103976:0.691405:0.265920:0.691405:0.265920:0.676292:0.103976:0.676292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativos:@0.103976:0.703978:0.206700:0.703978:0.206700:0.688865:0.103976:0.688865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada   :@0.328559:0.691719:0.406206:0.691719:0.406206:0.677474:0.328559:0.677474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.395753:0.691719:0.402537:0.691719:0.402537:0.676845:0.395753:0.676845:0.000000
∈ ℝ:@0.406206:0.692247:0.436444:0.692247:0.436444:0.676242:0.406206:0.676242:0.000000:0.000000:0.000000
, con :@0.436444:0.691719:0.472060:0.691719:0.472060:0.677474:0.436444:0.677474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.472060:0.691719:0.481860:0.691719:0.481860:0.676845:0.472060:0.676845:0.000000:0.000000
≠ :@0.481860:0.692247:0.500003:0.692247:0.500003:0.676242:0.481860:0.676242:0.000000:0.000000
0, existe  :@0.500003:0.691719:0.560360:0.691719:0.560360:0.677474:0.500003:0.677474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.630365:0.692232:0.643670:0.692232:0.643670:0.676175:0.630365:0.676175:0.000000
=:@0.588018:0.692730:0.598135:0.692730:0.598135:0.677157:0.588018:0.677157:0.000000
∈:@0.617337:0.692730:0.630476:0.692730:0.630476:0.677157:0.617337:0.677157:0.000000
−:@0.573772:0.684784:0.579635:0.684784:0.579635:0.675759:0.573772:0.675759:0.000000
x:@0.564454:0.692052:0.571918:0.692052:0.571918:0.675691:0.564454:0.675691:0.000000
x:@0.604345:0.702543:0.611808:0.702543:0.611808:0.686182:0.604345:0.686182:0.000000
1:@0.604399:0.683094:0.613392:0.683094:0.613392:0.667424:0.604399:0.667424:0.000000
1:@0.579532:0.684391:0.584743:0.684391:0.584743:0.675310:0.579532:0.675310:0.000000
 :@0.616343:0.691738:0.620012:0.691738:0.620012:0.677493:0.616343:0.677493:0.000000
∈ ℝ  :@0.620012:0.692266:0.657353:0.692266:0.657353:0.676261:0.620012:0.676261:0.000000:0.000000:0.000000:0.000000:0.000000
, tal :@0.650250:0.691738:0.677356:0.691738:0.677356:0.677493:0.650250:0.677493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  :@0.328571:0.706826:0.362008:0.706826:0.362008:0.692580:0.328571:0.692580:0.000000:0.000000:0.000000:0.000000:0.000000
⋅:@0.374013:0.707881:0.378620:0.707881:0.378620:0.692308:0.374013:0.692308:0.000000
=:@0.405008:0.707881:0.415125:0.707881:0.415125:0.692308:0.405008:0.692308:0.000000
⋅=:@0.442122:0.707881:0.471551:0.707881:0.471551:0.692308:0.442122:0.692308:0.000000:0.000000
−:@0.390766:0.699935:0.396629:0.699935:0.396629:0.690909:0.390766:0.690909:0.000000
−:@0.429191:0.699935:0.435054:0.699935:0.435054:0.690909:0.429191:0.690909:0.000000
xx:@0.363439:0.707203:0.388906:0.707203:0.388906:0.690842:0.363439:0.690842:0.000000:0.000000
x:@0.419883:0.707203:0.427346:0.707203:0.427346:0.690842:0.419883:0.690842:0.000000
x:@0.449570:0.707203:0.457033:0.707203:0.457033:0.690842:0.449570:0.690842:0.000000
1.:@0.473692:0.707203:0.485688:0.707203:0.485688:0.691533:0.473692:0.691533:0.000000:0.000000
1:@0.396525:0.699542:0.401737:0.699542:0.401737:0.690461:0.396525:0.690461:0.000000
1:@0.434950:0.699542:0.440162:0.699542:0.440162:0.690461:0.434950:0.690461:0.000000
Las operaciones de adición y producto están relacionadas mediante la propiedad :@0.096359:0.741618:0.698737:0.741618:0.698737:0.725948:0.096359:0.725948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva: para todo  ,  ,   :@0.096359:0.758214:0.301991:0.758214:0.301991:0.742544:0.096359:0.742544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.261285:0.758214:0.297956:0.758214:0.297956:0.741853:0.261285:0.741853:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.301991:0.758795:0.335253:0.758795:0.335253:0.741189:0.301991:0.741189:0.000000:0.000000:0.000000
;  (  +  ) =   +  .:@0.335253:0.758214:0.464672:0.758214:0.464672:0.742544:0.335253:0.742544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.342495:0.758214:0.362324:0.758214:0.362324:0.741853:0.342495:0.741853:0.000000:0.000000:0.000000
z:@0.381378:0.758214:0.388620:0.758214:0.388620:0.741853:0.381378:0.741853:0.000000
xy:@0.412557:0.758214:0.427705:0.758214:0.427705:0.741853:0.412557:0.741853:0.000000:0.000000
xz:@0.446761:0.758214:0.461466:0.758214:0.461466:0.741853:0.446761:0.741853:0.000000:0.000000
Relación de orden en:@0.096359:0.781933:0.263680:0.781933:0.263680:0.765032:0.096359:0.765032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  . Sean  ,   :@0.263680:0.781933:0.363538:0.781938:0.363538:0.766268:0.263680:0.766263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ ℝ:@0.267714:0.782519:0.281019:0.782519:0.281019:0.764913:0.267714:0.764913:0.000000:0.000000:0.000000
m n:@0.328120:0.781938:0.359502:0.781938:0.359502:0.765577:0.328120:0.765577:0.000000:0.000000:0.000000
∈ ℝ:@0.363538:0.782519:0.396800:0.782519:0.396800:0.764913:0.363538:0.764913:0.000000:0.000000:0.000000
. Diremos::@0.396800:0.781938:0.468962:0.781938:0.468962:0.766268:0.396800:0.766268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) “m es menor que  ” y notaremos “  <  ” si y solo si   – :@0.096356:0.805657:0.507880:0.805657:0.507880:0.789987:0.096356:0.789987:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.237401:0.805657:0.246909:0.805657:0.246909:0.789296:0.237401:0.789296:0.000000
m:@0.354175:0.805657:0.368806:0.805657:0.368806:0.789296:0.354175:0.789296:0.000000
n:@0.387861:0.805657:0.397369:0.805657:0.397369:0.789296:0.387861:0.789296:0.000000
n m :@0.481086:0.805657:0.525828:0.805657:0.525828:0.789296:0.481086:0.789296:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.525828:0.806238:0.559090:0.806238:0.559090:0.788632:0.525828:0.788632:0.000000:0.000000:0.000000
 :@0.559090:0.805657:0.563126:0.805657:0.563126:0.789987:0.559090:0.789987:0.000000
Ejemplo  :@0.096359:0.831128:0.161225:0.831128:0.161225:0.816015:0.096359:0.816015:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
::@0.153719:0.831128:0.157673:0.831128:0.157673:0.815763:0.153719:0.815763:0.000000
7 < 9, si y solo si, al realizar la operación 9 − 7, la respuesta en este caso 2 es :@0.096359:0.851603:0.698860:0.851603:0.698860:0.835933:0.096359:0.835933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento de los números reales.:@0.096359:0.868199:0.333980:0.868199:0.333980:0.852529:0.096359:0.852529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) “m es mayor que ” y notaremos “  >  ” si y solo si “  <  ”, o sea   –   :@0.096359:0.891918:0.626443:0.891918:0.626443:0.876248:0.096359:0.876248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 n:@0.234638:0.891918:0.247464:0.891918:0.247464:0.875557:0.234638:0.875557:0.000000:0.000000
m:@0.354729:0.891918:0.369361:0.891918:0.369361:0.875557:0.354729:0.875557:0.000000
n:@0.388415:0.891918:0.397924:0.891918:0.397924:0.875557:0.388415:0.875557:0.000000
n:@0.485416:0.891918:0.494925:0.891918:0.494925:0.875557:0.485416:0.875557:0.000000
m:@0.513979:0.891918:0.528611:0.891918:0.528611:0.875557:0.513979:0.875557:0.000000
m n:@0.580982:0.891918:0.622408:0.891918:0.622408:0.875557:0.580982:0.875557:0.000000:0.000000:0.000000
∈ ℝ:@0.626443:0.892499:0.659705:0.892499:0.659705:0.874893:0.626443:0.874893:0.000000:0.000000:0.000000
. :@0.659705:0.891918:0.666947:0.891918:0.666947:0.876248:0.659705:0.876248:0.000000:0.000000
Ejemplo: :@0.096359:0.917389:0.160739:0.917389:0.160739:0.902276:0.096359:0.902276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
12 > 6, si y solo si, al realizar 12 – 6, el resultado en este caso 6 pertenece a los :@0.096359:0.937863:0.698759:0.937863:0.698759:0.922193:0.096359:0.922193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales.:@0.096359:0.954460:0.211254:0.954460:0.211254:0.938790:0.096359:0.938790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si a = 0 y b ≠ 0, :@0.733044:0.406512:0.866534:0.406512:0.866534:0.390842:0.733044:0.390842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces::@0.752043:0.423108:0.823358:0.423108:0.823358:0.407438:0.752043:0.407438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     :@0.733044:0.465333:0.751388:0.465333:0.751388:0.451088:0.733044:0.451088:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.766569:0.452495:0.747736:0.452495:0.747736:0.436922:0.766569:0.436922:0.000000
=:@0.795519:0.452495:0.776686:0.452495:0.776686:0.436922:0.795519:0.436922:0.000000
a:@0.752487:0.442859:0.761756:0.442859:0.761756:0.426498:0.752487:0.426498:0.000000
b:@0.752277:0.462308:0.761546:0.462308:0.761546:0.445947:0.752277:0.445947:0.000000
b:@0.781430:0.462308:0.790699:0.462308:0.790699:0.445947:0.781430:0.445947:0.000000
0:@0.781646:0.442859:0.790639:0.442859:0.790639:0.427189:0.781646:0.427189:0.000000
0:@0.808919:0.451821:0.817911:0.451821:0.817911:0.436151:0.808919:0.436151:0.000000
•  Si a ≠ 0 y b = 0, :@0.733034:0.492939:0.866524:0.492939:0.866524:0.477269:0.733034:0.477269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces::@0.752033:0.509535:0.823348:0.509535:0.823348:0.493865:0.752033:0.493865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    :@0.733044:0.534157:0.747719:0.534157:0.747719:0.519912:0.733044:0.519912:0.000000:0.000000:0.000000:0.000000
=:@0.766250:0.534780:0.747049:0.534780:0.747049:0.519207:0.766250:0.519207:0.000000
=:@0.795569:0.534780:0.776367:0.534780:0.776367:0.519207:0.795569:0.519207:0.000000
a:@0.752168:0.525144:0.761437:0.525144:0.761437:0.508783:0.752168:0.508783:0.000000
b:@0.751959:0.544594:0.761228:0.544594:0.761228:0.528232:0.751959:0.528232:0.000000
a:@0.781485:0.525144:0.790754:0.525144:0.790754:0.508783:0.781485:0.508783:0.000000
no:@0.809336:0.534103:0.827764:0.534103:0.827764:0.517741:0.809336:0.517741:0.000000:0.000000
0:@0.781492:0.544600:0.790484:0.544600:0.790484:0.528930:0.781492:0.528930:0.000000
está definido:@0.832647:0.534103:0.925485:0.534103:0.925485:0.518433:0.832647:0.518433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.805761:0.534157:0.809430:0.534157:0.809430:0.519912:0.805761:0.519912:0.000000
no está  :@0.809430:0.534471:0.871089:0.534471:0.871089:0.518801:0.809430:0.518801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    definido.:@0.733047:0.559615:0.813500:0.559615:0.813500:0.543945:0.733047:0.543945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Si   = 0 y   = 0, :@0.733047:0.586902:0.866537:0.586902:0.866537:0.571232:0.733047:0.571232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.768484:0.586902:0.777753:0.586902:0.777753:0.570541:0.768484:0.570541:0.000000
b:@0.821979:0.586902:0.831248:0.586902:0.831248:0.570541:0.821979:0.570541:0.000000
entonces::@0.752046:0.603498:0.823361:0.603498:0.823361:0.587828:0.752046:0.587828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.733044:0.662072:0.740381:0.662072:0.740381:0.647827:0.733044:0.647827:0.000000:0.000000
=:@0.767031:0.633316:0.777148:0.633316:0.777148:0.617743:0.767031:0.617743:0.000000
a:@0.752952:0.623677:0.762222:0.623677:0.762222:0.608283:0.752952:0.608283:0.000000
b:@0.752750:0.643122:0.762019:0.643122:0.762019:0.627729:0.752750:0.627729:0.000000
es indeterminado:@0.751497:0.660410:0.881117:0.660410:0.881117:0.644740:0.751497:0.644740:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.781921:0.623677:0.790913:0.623677:0.790913:0.608007:0.781921:0.608007:0.000000
0:@0.781921:0.643122:0.790913:0.643122:0.790913:0.627452:0.781921:0.627452:0.000000
.:@0.881100:0.660815:0.884015:0.660815:0.884015:0.646570:0.881100:0.646570:0.000000
La división para cero :@0.733042:0.684289:0.872823:0.684289:0.872823:0.670043:0.733042:0.670043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no está permitida, por :@0.733042:0.699376:0.883829:0.699376:0.883829:0.685131:0.733042:0.685131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lo que no se puede :@0.733042:0.714464:0.865721:0.714464:0.865721:0.700219:0.733042:0.700219:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
realizar.:@0.733042:0.729551:0.782043:0.729551:0.782043:0.715306:0.733042:0.715306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.380743:0.867484:0.380743:0.867484:0.363843:0.765616:0.363843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.629534:0.721384:0.694698:0.721384:0.694698:0.712837:0.629534:0.712837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.631906:0.349301:0.697069:0.349301:0.697069:0.340754:0.631906:0.340754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para redondear un :@0.731684:0.111285:0.858298:0.111285:0.858298:0.097040:0.731684:0.097040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número a una unidad :@0.731684:0.126373:0.880043:0.126373:0.880043:0.112127:0.731684:0.112127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada, debemos :@0.731684:0.141460:0.891449:0.141460:0.891449:0.127215:0.731684:0.127215:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fijarnos en la cifra :@0.731684:0.156548:0.851028:0.156548:0.851028:0.142303:0.731684:0.142303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inmediatamente :@0.731684:0.171635:0.846704:0.171635:0.846704:0.157390:0.731684:0.157390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
posterior (la que le :@0.731684:0.186723:0.859754:0.186723:0.859754:0.172478:0.731684:0.172478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sigue) y::@0.731684:0.201811:0.786546:0.201811:0.786546:0.187565:0.731684:0.187565:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.731684:0.229412:0.746592:0.229412:0.746592:0.212512:0.731684:0.212512:0.000000:0.000000
 si es mayor o igual :@0.746592:0.229412:0.889701:0.229412:0.889701:0.213742:0.746592:0.213742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que 5 (5, 6, 7, 8 , 9), :@0.750682:0.246009:0.891433:0.246009:0.891433:0.230339:0.750682:0.230339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se aumenta en uno :@0.750682:0.262605:0.897035:0.262605:0.897035:0.246935:0.750682:0.246935:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la cifra anterior.:@0.750682:0.279201:0.861523:0.279201:0.861523:0.263532:0.750682:0.263532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.731684:0.302920:0.747900:0.302920:0.747900:0.286020:0.731684:0.286020:0.000000:0.000000
 si es menor que 5 :@0.747900:0.302920:0.885499:0.302920:0.885499:0.287251:0.747900:0.287251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0, 1, 2, 3, 4), se deja :@0.750682:0.319517:0.896777:0.319517:0.896777:0.303847:0.750682:0.303847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la cifra igual.:@0.750682:0.336113:0.840663:0.336113:0.840663:0.320443:0.750682:0.320443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.767045:0.074928:0.887672:0.074928:0.887672:0.058027:0.767045:0.058027:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.767045:0.087499:0.861486:0.087499:0.861486:0.070599:0.767045:0.070599:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los comerciantes de :@0.731684:0.802682:0.872302:0.802682:0.872302:0.788437:0.731684:0.788437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los mercados y plazas :@0.731684:0.817770:0.879405:0.817770:0.879405:0.803525:0.731684:0.803525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no utilizan calculadoras :@0.731684:0.832858:0.891518:0.832858:0.891518:0.818612:0.731684:0.818612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para realizar sus :@0.731684:0.847945:0.840323:0.847945:0.840323:0.833700:0.731684:0.833700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuentas. Si bien sus :@0.731684:0.863033:0.864111:0.863033:0.864111:0.848788:0.731684:0.848788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemáticas son :@0.731684:0.878120:0.849017:0.878120:0.849017:0.863875:0.731684:0.863875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básicas, las manejan :@0.731684:0.893208:0.869355:0.893208:0.869355:0.878963:0.731684:0.878963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con mucha prolijidad y :@0.731684:0.908296:0.888652:0.908296:0.888652:0.894050:0.731684:0.894050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
excatitud.:@0.731684:0.923383:0.796480:0.923383:0.796480:0.909138:0.731684:0.909138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interculturalidad:@0.762019:0.775665:0.896133:0.775665:0.896133:0.758765:0.762019:0.758765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000