﻿15:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
10.º EGB:@0.820728:0.967458:0.879897:0.967458:0.879897:0.954794:0.820728:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Operaciones y propiedades en los números reales  :@0.096359:0.104179:0.606908:0.104179:0.606908:0.082669:0.096359:0.082669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición:@0.096359:0.134087:0.157189:0.134087:0.157189:0.117187:0.096359:0.117187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
. Sea :@0.157189:0.134087:0.193952:0.134087:0.193952:0.117698:0.157189:0.117698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.299674:0.132796:0.310657:0.132796:0.310657:0.116407:0.299674:0.116407:0.000000
. En este caso, se dice “la suma de números reales :@0.358616:0.134087:0.716516:0.134087:0.716516:0.117698:0.358616:0.117698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es cerrada o cumple con la propiedad clausurativa”.:@0.096354:0.150684:0.470558:0.150684:0.470558:0.134295:0.096354:0.134295:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la adición :@0.096354:0.181539:0.304476:0.181539:0.304476:0.164639:0.096354:0.164639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La adición de números reales cumple con las siguientes propiedades::@0.096354:0.205258:0.603457:0.205258:0.603457:0.188869:0.096354:0.188869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.171463:0.233849:0.246598:0.233849:0.246598:0.218485:0.171463:0.218485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.483845:0.233849:0.549850:0.233849:0.549850:0.218485:0.483845:0.218485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103315:0.258832:0.191951:0.258832:0.191951:0.243719:0.103315:0.243719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , :@0.326205:0.260278:0.406985:0.260278:0.406985:0.245379:0.326205:0.245379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.393617:0.260278:0.413787:0.260278:0.413787:0.246284:0.393617:0.246284:0.000000:0.000000:0.000000
∈ ℝ:@0.417455:0.260806:0.447694:0.260806:0.447694:0.244800:0.417455:0.244800:0.000000:0.000000:0.000000
,   +   =   +  . :@0.447694:0.260278:0.539999:0.260278:0.539999:0.245379:0.447694:0.245379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.454277:0.260278:0.461062:0.260278:0.461062:0.246284:0.454277:0.246284:0.000000
y:@0.478384:0.260278:0.485185:0.260278:0.485185:0.246284:0.478384:0.246284:0.000000
y:@0.502507:0.260278:0.509309:0.260278:0.509309:0.246284:0.502507:0.246284:0.000000
x:@0.526631:0.260278:0.533416:0.260278:0.533416:0.246284:0.526631:0.246284:0.000000
Asociativa:@0.103315:0.285122:0.172753:0.285122:0.172753:0.270009:0.103315:0.270009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , , :@0.326205:0.286568:0.419717:0.286568:0.419717:0.271669:0.326205:0.271669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.393617:0.286568:0.426301:0.286568:0.426301:0.272574:0.393617:0.272574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.429970:0.287096:0.460208:0.287096:0.460208:0.271090:0.429970:0.271090:0.000000:0.000000:0.000000
,   + (  +  ) = ( +  ) + :@0.460208:0.286568:0.607277:0.286568:0.607277:0.271669:0.460208:0.271669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.466791:0.286568:0.473576:0.286568:0.473576:0.272574:0.466791:0.272574:0.000000
y  z:@0.499006:0.286568:0.529060:0.286568:0.529060:0.272574:0.499006:0.272574:0.000000:0.000000:0.000000:0.000000
x  y:@0.555261:0.286568:0.585516:0.286568:0.585516:0.272574:0.555261:0.272574:0.000000:0.000000:0.000000:0.000000
z.:@0.607277:0.286568:0.616893:0.286568:0.616893:0.272574:0.607277:0.272574:0.000000:0.000000
Existencia del elemento neutro:@0.103315:0.311412:0.314041:0.311412:0.314041:0.296299:0.103315:0.296299:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo :@0.326205:0.312858:0.393617:0.312858:0.393617:0.297959:0.326205:0.297959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.393617:0.312858:0.403417:0.312858:0.403417:0.298864:0.393617:0.298864:0.000000:0.000000
∈ ℝ:@0.403417:0.313386:0.433655:0.313386:0.433655:0.297381:0.403417:0.297381:0.000000:0.000000:0.000000
, existe 0 :@0.433655:0.312858:0.494014:0.312858:0.494014:0.297959:0.433655:0.297959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.494014:0.313386:0.524252:0.313386:0.524252:0.297381:0.494014:0.297381:0.000000:0.000000:0.000000
, tal que   + 0 = 0 +   =  .:@0.524252:0.312858:0.689514:0.312858:0.689514:0.297959:0.524252:0.297959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.580607:0.312858:0.587392:0.312858:0.587392:0.298864:0.580607:0.298864:0.000000
x:@0.655708:0.312858:0.662493:0.312858:0.662493:0.298864:0.655708:0.298864:0.000000
x:@0.679815:0.312858:0.686600:0.312858:0.686600:0.298864:0.679815:0.298864:0.000000
Existencia de opuestos aditivos:@0.103315:0.337702:0.314763:0.337702:0.314763:0.322589:0.103315:0.322589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada :@0.326205:0.339148:0.390384:0.339148:0.390384:0.324249:0.326205:0.324249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.390049:0.339148:0.399514:0.339148:0.399514:0.325154:0.390049:0.325154:0.000000:0.000000
∈ ℝ:@0.399179:0.339676:0.429082:0.339676:0.429082:0.323671:0.399179:0.323671:0.000000:0.000000:0.000000
, existe −:@0.428747:0.339148:0.484231:0.339148:0.484231:0.324249:0.428747:0.324249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.483896:0.339148:0.493361:0.339148:0.493361:0.325154:0.483896:0.325154:0.000000:0.000000
∈ ℝ:@0.492691:0.339676:0.522594:0.339676:0.522594:0.323671:0.492691:0.323671:0.000000:0.000000:0.000000
, tal que  + (− ) = −  +   = 0.:@0.522258:0.339148:0.703603:0.339148:0.703603:0.324249:0.522258:0.324249:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.571929:0.339148:0.581394:0.339148:0.581394:0.325154:0.571929:0.325154:0.000000:0.000000
x:@0.610795:0.339148:0.617580:0.339148:0.617580:0.325154:0.610795:0.325154:0.000000
x x:@0.647315:0.339148:0.676866:0.339148:0.676866:0.325154:0.647315:0.325154:0.000000:0.000000:0.000000
Producto. :@0.096359:0.365336:0.177330:0.365336:0.177330:0.348436:0.096359:0.348436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea  , :@0.179191:0.365336:0.225850:0.365336:0.225850:0.348948:0.179191:0.348948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.211145:0.365336:0.235303:0.365336:0.235303:0.349943:0.211145:0.349943:0.000000:0.000000:0.000000
∈ ℝ:@0.241311:0.365917:0.275973:0.365917:0.275973:0.348311:0.241311:0.348311:0.000000:0.000000:0.000000
 :@0.281981:0.365585:0.309622:0.365585:0.309622:0.347966:0.281981:0.347966:0.000000:0.000000
x:@0.314137:0.365336:0.321600:0.365336:0.321600:0.349943:0.314137:0.349943:0.000000
∙  ∈ ℝ:@0.327608:0.365917:0.389626:0.365917:0.389626:0.348311:0.327608:0.348311:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.340617:0.365336:0.348099:0.365336:0.348099:0.349943:0.340617:0.349943:0.000000
. En este caso, se dice “la multiplicación de :@0.389626:0.365336:0.716464:0.365336:0.716464:0.348948:0.389626:0.348948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales es cerrada o cumple con la propiedad clausurativa”. :@0.096322:0.381933:0.590491:0.381933:0.590491:0.365544:0.096322:0.365544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096322:0.409220:0.155917:0.409220:0.155917:0.392582:0.096322:0.392582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calcular el producto de :@0.096322:0.436715:0.271512:0.436715:0.271512:0.420326:0.096322:0.420326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π⋅:@0.274532:0.436139:0.291596:0.436139:0.291596:0.420566:0.274532:0.420566:0.000000:0.000000
2.:@0.305472:0.435461:0.318519:0.435461:0.318519:0.419072:0.305472:0.419072:0.000000:0.000000
Una aproximación de  2  es 1,4142 y una de   es 3,1416. :@0.096359:0.462957:0.520957:0.462957:0.520957:0.446568:0.096359:0.446568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.429371:0.463538:0.441663:0.463538:0.441663:0.445932:0.429371:0.445932:0.000000
Luego, :@0.096366:0.488875:0.149769:0.488875:0.149769:0.472486:0.096366:0.472486:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π⋅:@0.152746:0.489873:0.169810:0.489873:0.169810:0.474300:0.152746:0.474300:0.000000:0.000000
≈:@0.197034:0.489873:0.207151:0.489873:0.207151:0.474300:0.197034:0.474300:0.000000
≈:@0.317182:0.489873:0.327299:0.489873:0.327299:0.474300:0.317182:0.474300:0.000000
21,4142(3,1416)4,4429.:@0.183686:0.489196:0.384510:0.489196:0.384510:0.472807:0.183686:0.472807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades del producto :@0.096376:0.519733:0.306668:0.519733:0.306668:0.502832:0.096376:0.502832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de números reales cumple con las siguientes propiedades::@0.096376:0.543452:0.614130:0.543452:0.614130:0.527063:0.096376:0.527063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.177637:0.572046:0.252771:0.572046:0.252771:0.556681:0.177637:0.556681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.490019:0.572046:0.556023:0.572046:0.556023:0.556681:0.490019:0.556681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103306:0.598688:0.193617:0.598688:0.193617:0.583575:0.103306:0.583575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , :@0.340487:0.600146:0.421267:0.600146:0.421267:0.585247:0.340487:0.585247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.407898:0.600146:0.428068:0.600146:0.428068:0.586152:0.407898:0.586152:0.000000:0.000000:0.000000
∈ ℝ:@0.431737:0.600674:0.461975:0.600674:0.461975:0.584669:0.431737:0.584669:0.000000:0.000000:0.000000
, :@0.461975:0.600146:0.468559:0.600146:0.468559:0.585247:0.461975:0.585247:0.000000:0.000000
xy = yx:@0.468559:0.600146:0.511929:0.600146:0.511929:0.586152:0.468559:0.586152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.511929:0.600146:0.514844:0.600146:0.514844:0.585247:0.511929:0.585247:0.000000
Asociativa:@0.103306:0.628297:0.174253:0.628297:0.174253:0.613184:0.103306:0.613184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,  , :@0.340487:0.629743:0.434652:0.629743:0.434652:0.614844:0.340487:0.614844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.407898:0.629743:0.441236:0.629743:0.441236:0.615749:0.407898:0.615749:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.444904:0.630271:0.475142:0.630271:0.475142:0.614266:0.444904:0.614266:0.000000:0.000000:0.000000
,  (  ) = ( ):@0.475142:0.629743:0.554415:0.629743:0.554415:0.614844:0.475142:0.614844:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x yz:@0.481726:0.629743:0.510004:0.629743:0.510004:0.615749:0.481726:0.615749:0.000000:0.000000:0.000000:0.000000
xy z.:@0.536205:0.629743:0.564031:0.629743:0.564031:0.615749:0.536205:0.615749:0.000000:0.000000:0.000000:0.000000:0.000000
Existencia del elemento unidad:@0.103306:0.657894:0.321337:0.657894:0.321337:0.642781:0.103306:0.642781:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo:@0.340487:0.659353:0.404229:0.659353:0.404229:0.644454:0.340487:0.644454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.404229:0.659353:0.414030:0.659353:0.414030:0.645359:0.404229:0.645359:0.000000:0.000000
∈ ℝ:@0.417698:0.659881:0.447936:0.659881:0.447936:0.643875:0.417698:0.643875:0.000000:0.000000:0.000000
, existe 1 :@0.447936:0.659353:0.508294:0.659353:0.508294:0.644454:0.447936:0.644454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.508294:0.659881:0.538532:0.659881:0.538532:0.643875:0.508294:0.643875:0.000000:0.000000:0.000000
, tal que   1 = 1   =  .:@0.538532:0.659353:0.692639:0.659353:0.692639:0.644454:0.538532:0.644454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.594887:0.659353:0.601672:0.659353:0.601672:0.645359:0.594887:0.645359:0.000000
∙:@0.605174:0.659881:0.610753:0.659881:0.610753:0.643875:0.605174:0.643875:0.000000
∙:@0.650423:0.659881:0.656001:0.659881:0.656001:0.643875:0.650423:0.643875:0.000000
x:@0.659335:0.659353:0.666120:0.659353:0.666120:0.645359:0.659335:0.645359:0.000000
x:@0.682939:0.659353:0.689724:0.659353:0.689724:0.645359:0.682939:0.645359:0.000000
Existencia de opuestos :@0.103306:0.690622:0.265250:0.690622:0.265250:0.675509:0.103306:0.675509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativos:@0.103306:0.703195:0.206030:0.703195:0.206030:0.688082:0.103306:0.688082:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada :@0.340487:0.690936:0.407680:0.690936:0.407680:0.676037:0.340487:0.676037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.407680:0.690936:0.414465:0.690936:0.414465:0.676942:0.407680:0.676942:0.000000
∈ ℝ:@0.418134:0.691464:0.448372:0.691464:0.448372:0.675459:0.418134:0.675459:0.000000:0.000000:0.000000
, con :@0.448372:0.690936:0.483988:0.690936:0.483988:0.676037:0.448372:0.676037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.483988:0.690936:0.493788:0.690936:0.493788:0.676942:0.483988:0.676942:0.000000:0.000000
∙ :@0.493788:0.691464:0.511931:0.691464:0.511931:0.675459:0.493788:0.675459:0.000000:0.000000
0, existe  :@0.511931:0.690936:0.572290:0.690936:0.572290:0.676037:0.511931:0.676037:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.642289:0.691406:0.655594:0.691406:0.655594:0.675349:0.642289:0.675349:0.000000
=:@0.599943:0.691904:0.610059:0.691904:0.610059:0.676331:0.599943:0.676331:0.000000
∈:@0.629261:0.691904:0.642400:0.691904:0.642400:0.676331:0.629261:0.676331:0.000000
−:@0.585696:0.683958:0.591560:0.683958:0.591560:0.674933:0.585696:0.674933:0.000000
x:@0.576379:0.691226:0.583842:0.691226:0.583842:0.675833:0.576379:0.675833:0.000000
x:@0.616270:0.701717:0.623733:0.701717:0.623733:0.686324:0.616270:0.686324:0.000000
1:@0.616325:0.682272:0.625318:0.682272:0.625318:0.665883:0.616325:0.665883:0.000000
1:@0.591456:0.683565:0.596668:0.683565:0.596668:0.674067:0.591456:0.674067:0.000000
∈ ℝ:@0.631936:0.691440:0.662175:0.691440:0.662175:0.675435:0.631936:0.675435:0.000000:0.000000:0.000000
, tal :@0.662175:0.690912:0.689280:0.690912:0.689280:0.676013:0.662175:0.676013:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que  ∙ :@0.340495:0.706000:0.386648:0.706000:0.386648:0.691101:0.340495:0.691101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x:@0.370264:0.706000:0.393433:0.706000:0.393433:0.692006:0.370264:0.692006:0.000000:0.000000:0.000000:0.000000
–1:@0.395108:0.700502:0.405734:0.700502:0.405734:0.691816:0.395108:0.691816:0.000000:0.000000
 = :@0.405734:0.706000:0.423056:0.706000:0.423056:0.691101:0.405734:0.691101:0.000000:0.000000:0.000000
x:@0.423056:0.706000:0.429841:0.706000:0.429841:0.692006:0.423056:0.692006:0.000000
–1:@0.431516:0.700502:0.442142:0.700502:0.442142:0.691816:0.431516:0.691816:0.000000:0.000000
∙ = 1.:@0.443118:0.706000:0.483927:0.706000:0.483927:0.691101:0.443118:0.691101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.447709:0.706000:0.459184:0.706000:0.459184:0.692006:0.447709:0.692006:0.000000:0.000000
Las operaciones de adición y producto están relacionadas mediante la propiedad :@0.096359:0.733791:0.716523:0.733791:0.716523:0.717402:0.096359:0.717402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva: para todo  ,  , :@0.096359:0.750387:0.290714:0.750387:0.290714:0.733998:0.096359:0.733998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.261285:0.750387:0.297956:0.750387:0.297956:0.734994:0.261285:0.734994:0.000000:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.301993:0.750968:0.335255:0.750968:0.335255:0.733362:0.301993:0.733362:0.000000:0.000000:0.000000
;  (  +  ) =   +  .:@0.335255:0.750387:0.464672:0.750387:0.464672:0.733998:0.335255:0.733998:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.342497:0.750387:0.362325:0.750387:0.362325:0.734994:0.342497:0.734994:0.000000:0.000000:0.000000
z:@0.381380:0.750387:0.388622:0.750387:0.388622:0.734994:0.381380:0.734994:0.000000
xy:@0.412559:0.750387:0.427707:0.750387:0.427707:0.734994:0.412559:0.734994:0.000000:0.000000
xz:@0.446761:0.750387:0.461466:0.750387:0.461466:0.734994:0.446761:0.734994:0.000000:0.000000
Relación de orden en:@0.096359:0.774106:0.263680:0.774106:0.263680:0.757206:0.096359:0.757206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.267718:0.774687:0.281023:0.774687:0.281023:0.757081:0.267718:0.757081:0.000000
. Sean  , :@0.281023:0.774106:0.349997:0.774106:0.349997:0.757717:0.281023:0.757717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m n:@0.328124:0.774106:0.359506:0.774106:0.359506:0.758713:0.328124:0.758713:0.000000:0.000000:0.000000
∈ ℝ:@0.363542:0.774687:0.396803:0.774687:0.396803:0.757081:0.363542:0.757081:0.000000:0.000000:0.000000
. Diremos::@0.396803:0.774106:0.468966:0.774106:0.468966:0.757717:0.396803:0.757717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.096359:0.797825:0.109811:0.797825:0.109811:0.781201:0.096359:0.781201:0.000000:0.000000:0.000000
“m es menor que  ” y notaremos “  <  ” si y solo si   – :@0.120094:0.797825:0.520471:0.797825:0.520471:0.781436:0.120094:0.781436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.249990:0.797825:0.259499:0.797825:0.259499:0.782432:0.249990:0.782432:0.000000
m:@0.366766:0.797825:0.381398:0.797825:0.381398:0.782432:0.366766:0.782432:0.000000
n:@0.400452:0.797825:0.409961:0.797825:0.409961:0.782432:0.400452:0.782432:0.000000
n m :@0.493678:0.797825:0.538420:0.797825:0.538420:0.782432:0.493678:0.782432:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.538420:0.798406:0.571682:0.798406:0.571682:0.780800:0.538420:0.780800:0.000000:0.000000:0.000000
Ejemplo.:@0.120103:0.821544:0.183253:0.821544:0.183253:0.804906:0.120103:0.804906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 7 < 9, si y solo si al realizar la operación 9 − 7, la respuesta, en este caso 2, :@0.183253:0.821544:0.716420:0.821544:0.716420:0.805155:0.183253:0.805155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es elemento de los números reales.:@0.120094:0.838141:0.377559:0.838141:0.377559:0.821752:0.120094:0.821752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.096359:0.861860:0.114124:0.861860:0.114124:0.845236:0.096359:0.845236:0.000000:0.000000:0.000000:0.000000
“m es mayor que ” y notaremos “  >  ” si y solo si “  <  ”, o sea   – :@0.120094:0.861860:0.621634:0.861860:0.621634:0.845471:0.120094:0.845471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 n:@0.243373:0.861860:0.256199:0.861860:0.256199:0.846467:0.243373:0.846467:0.000000:0.000000
m:@0.363464:0.861860:0.378096:0.861860:0.378096:0.846467:0.363464:0.846467:0.000000
n:@0.397150:0.861860:0.406659:0.861860:0.406659:0.846467:0.397150:0.846467:0.000000
n:@0.494151:0.861860:0.503660:0.861860:0.503660:0.846467:0.494151:0.846467:0.000000
m:@0.522714:0.861860:0.537346:0.861860:0.537346:0.846467:0.522714:0.846467:0.000000
m n:@0.589717:0.861860:0.631142:0.861860:0.631142:0.846467:0.589717:0.846467:0.000000:0.000000:0.000000
∈ ℝ:@0.635183:0.862441:0.668445:0.862441:0.668445:0.844835:0.635183:0.844835:0.000000:0.000000:0.000000
. :@0.668445:0.861860:0.675687:0.861860:0.675687:0.845471:0.668445:0.845471:0.000000:0.000000
Ejemplo.:@0.120103:0.885579:0.183253:0.885579:0.183253:0.868941:0.120103:0.868941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 12 > 6, si y solo si al realizar 12 – 6, el resultado, en este caso 6, pertenece :@0.183253:0.885579:0.716436:0.885579:0.716436:0.869190:0.183253:0.869190:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a los números reales.:@0.120094:0.902175:0.272010:0.902175:0.272010:0.885786:0.120094:0.885786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para redondear un :@0.754768:0.149045:0.881383:0.149045:0.881383:0.134146:0.754768:0.134146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número a una unidad :@0.754768:0.164133:0.903128:0.164133:0.903128:0.149234:0.754768:0.149234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinada, debemos :@0.754768:0.179221:0.914534:0.179221:0.914534:0.164322:0.754768:0.164322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fijarnos en la cifra :@0.754768:0.194308:0.873895:0.194308:0.873895:0.179409:0.754768:0.179409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inmediatamente posterior :@0.754768:0.209396:0.933480:0.209396:0.933480:0.194497:0.754768:0.194497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(la que le sigue) y::@0.754768:0.224484:0.874009:0.224484:0.874009:0.209585:0.754768:0.209585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.754768:0.243129:0.771152:0.243129:0.771152:0.228017:0.754768:0.228017:0.000000:0.000000:0.000000
si es mayor o igual :@0.778507:0.243129:0.904887:0.243129:0.904887:0.228230:0.778507:0.228230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que 5 (5, 6, 7, 8 , 9), se :@0.778507:0.258217:0.924504:0.258217:0.924504:0.243318:0.778507:0.243318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aumenta en uno la :@0.778507:0.273305:0.908338:0.273305:0.908338:0.258406:0.778507:0.258406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cifra anterior.:@0.778507:0.288392:0.864445:0.288392:0.864445:0.273493:0.778507:0.273493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.754768:0.307038:0.772559:0.307038:0.772559:0.291925:0.754768:0.291925:0.000000:0.000000:0.000000
si es menor que 5 (0, 1, :@0.778507:0.307038:0.933885:0.307038:0.933885:0.292139:0.778507:0.292139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2, 3, 4), se deja la cifra :@0.778507:0.322126:0.923767:0.322126:0.923767:0.307227:0.778507:0.307227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual.:@0.778507:0.337213:0.813904:0.337213:0.813904:0.322314:0.778507:0.322314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el número :@0.754768:0.355859:0.875920:0.355859:0.875920:0.341865:0.754768:0.341865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
redondeado a las :@0.754768:0.370947:0.867864:0.370947:0.867864:0.356953:0.754768:0.356953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
centésimas de 1,235?:@0.754768:0.386034:0.887481:0.386034:0.887481:0.372040:0.754768:0.372040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775632:0.116602:0.883173:0.116602:0.883173:0.099701:0.775632:0.099701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.754768:0.546432:0.763044:0.546432:0.763044:0.531319:0.754768:0.531319:0.000000:0.000000
Si a = 0 y b ≠ 0, :@0.778507:0.546432:0.882589:0.546432:0.882589:0.531533:0.778507:0.531533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces::@0.778507:0.561519:0.843338:0.561519:0.843338:0.546620:0.778507:0.546620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.797361:0.585984:0.778528:0.585984:0.778528:0.570411:0.797361:0.570411:0.000000
=:@0.826311:0.585984:0.807478:0.585984:0.807478:0.570411:0.826311:0.570411:0.000000
a:@0.783279:0.576348:0.792548:0.576348:0.792548:0.560955:0.783279:0.560955:0.000000
b:@0.783077:0.595793:0.792346:0.595793:0.792346:0.580400:0.783077:0.580400:0.000000
b:@0.812229:0.595793:0.821498:0.595793:0.821498:0.580400:0.812229:0.580400:0.000000
0:@0.812450:0.576348:0.821443:0.576348:0.821443:0.559959:0.812450:0.559959:0.000000
0:@0.839715:0.585306:0.848707:0.585306:0.848707:0.568917:0.839715:0.568917:0.000000
• :@0.754768:0.617474:0.763044:0.617474:0.763044:0.602362:0.754768:0.602362:0.000000:0.000000
Si a ≠ 0 y b = 0, :@0.778507:0.617474:0.882589:0.617474:0.882589:0.602575:0.778507:0.602575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces::@0.778507:0.632562:0.843338:0.632562:0.843338:0.617663:0.778507:0.617663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.797043:0.658965:0.777841:0.658965:0.777841:0.643392:0.797043:0.643392:0.000000
=:@0.826361:0.658965:0.807160:0.658965:0.807160:0.643392:0.826361:0.643392:0.000000
a:@0.782961:0.649329:0.792230:0.649329:0.792230:0.633936:0.782961:0.633936:0.000000
b:@0.782752:0.668779:0.792021:0.668779:0.792021:0.653385:0.782752:0.653385:0.000000
a:@0.812278:0.649329:0.821547:0.649329:0.821547:0.633936:0.812278:0.633936:0.000000
no:@0.840129:0.658288:0.858556:0.658288:0.858556:0.642894:0.840129:0.642894:0.000000:0.000000
0:@0.812284:0.668785:0.821277:0.668785:0.821277:0.652396:0.812284:0.652396:0.000000
está definido:@0.863439:0.658288:0.956278:0.658288:0.956278:0.641899:0.863439:0.641899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 no está:@0.836555:0.658340:0.888940:0.658340:0.888940:0.643441:0.836555:0.643441:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
definido.:@0.778508:0.684115:0.836756:0.684115:0.836756:0.669216:0.778508:0.669216:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
• :@0.754770:0.702761:0.763046:0.702761:0.763046:0.687648:0.754770:0.687648:0.000000:0.000000
Si a = 0 y b = 0, :@0.778508:0.702761:0.882591:0.702761:0.882591:0.687862:0.778508:0.687862:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entonces::@0.778508:0.717848:0.843340:0.717848:0.843340:0.702949:0.778508:0.702949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.794059:0.742689:0.804176:0.742689:0.804176:0.727116:0.794059:0.727116:0.000000
a:@0.779981:0.733049:0.789250:0.733049:0.789250:0.717656:0.779981:0.717656:0.000000
b:@0.779778:0.752495:0.789047:0.752495:0.789047:0.737102:0.779778:0.737102:0.000000
es indeterminado:@0.778525:0.769783:0.908145:0.769783:0.908145:0.754113:0.778525:0.754113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.808949:0.733049:0.817942:0.733049:0.817942:0.717379:0.808949:0.717379:0.000000
0:@0.808949:0.752495:0.817942:0.752495:0.817942:0.736825:0.808949:0.736825:0.000000
.:@0.908130:0.770250:0.911045:0.770250:0.911045:0.755351:0.908130:0.755351:0.000000
La división para cero no :@0.754762:0.788896:0.916102:0.788896:0.916102:0.773997:0.754762:0.773997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está permitida, por lo que :@0.754762:0.803984:0.929890:0.803984:0.929890:0.789085:0.754762:0.789085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no se puede realizar.:@0.754762:0.819071:0.890538:0.819071:0.890538:0.804172:0.754762:0.804172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué entiendes cuando se :@0.754762:0.837717:0.918667:0.837717:0.918667:0.823723:0.754762:0.823723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dice que una expresión es :@0.754762:0.852805:0.914345:0.852805:0.914345:0.838811:0.754762:0.838811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indeterminada?:@0.754762:0.867892:0.853534:0.867892:0.853534:0.853898:0.754762:0.853898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775632:0.513990:0.883173:0.513990:0.883173:0.497089:0.775632:0.497089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000