﻿21:@0.921538:0.966074:0.940353:0.966074:0.940353:0.949450:0.921538:0.949450:0.000000:0.000000
Representación de números irracionales :@0.096359:0.136304:0.518984:0.136304:0.518984:0.114495:0.096359:0.114495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la recta numérica :@0.096359:0.157427:0.311682:0.157427:0.311682:0.135618:0.096359:0.135618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.183458:0.165865:0.183458:0.165865:0.168345:0.096359:0.168345:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Representar:@0.096359:0.210219:0.184222:0.210219:0.184222:0.194550:0.096359:0.194550:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.184222:0.212737:0.188258:0.212737:0.188258:0.197067:0.184222:0.197067:0.000000
2  y :@0.203385:0.208962:0.232914:0.210219:0.232914:0.194550:0.203385:0.193292:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.235898:0.209640:0.246015:0.209640:0.246015:0.194067:0.235898:0.194067:0.000000
2  en la recta numérica.:@0.259098:0.208962:0.433936:0.210217:0.433936:0.194547:0.259098:0.193292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.273120:0.212734:0.277156:0.212734:0.277156:0.197064:0.273120:0.197064:0.000000
Solución:@0.096359:0.235684:0.157020:0.235684:0.157020:0.220571:0.096359:0.220571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la recta numérica ubicamos la unidad. Sobre el final de ella, levantamos una :@0.096359:0.256159:0.698679:0.256159:0.698679:0.240489:0.096359:0.240489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular de medida igual a la unidad y unimos los dos segmentos formando :@0.096359:0.272755:0.698794:0.272755:0.698794:0.257085:0.096359:0.257085:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo rectángulo.:@0.096359:0.289351:0.273887:0.289351:0.273887:0.273682:0.096359:0.273682:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096359:0.313070:0.104430:0.313070:0.104430:0.297401:0.096359:0.297401:0.000000:0.000000
Aplicamos el teorema de Pitágoras para obtener la medida de la hipotenusa.:@0.096359:0.422634:0.656075:0.422634:0.656075:0.406964:0.096359:0.406964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.110808:0.451094:0.120925:0.451094:0.120925:0.435522:0.110808:0.435522:0.000000
+:@0.151478:0.451094:0.161595:0.451094:0.161595:0.435522:0.151478:0.435522:0.000000
=:@0.110808:0.474827:0.120925:0.474827:0.120925:0.459254:0.110808:0.459254:0.000000
c:@0.099343:0.450417:0.107009:0.450417:0.107009:0.434056:0.099343:0.434056:0.000000
c:@0.099343:0.474148:0.107009:0.474148:0.107009:0.457787:0.099343:0.457787:0.000000
1:@0.135572:0.450416:0.144565:0.450416:0.144565:0.434746:0.135572:0.434746:0.000000
1:@0.163213:0.450416:0.172206:0.450416:0.172206:0.434746:0.163213:0.434746:0.000000
2:@0.136714:0.474148:0.145707:0.474148:0.145707:0.458479:0.136714:0.458479:0.000000
2:@0.141957:0.442754:0.147169:0.442754:0.147169:0.433673:0.141957:0.433673:0.000000
2:@0.169596:0.442754:0.174808:0.442754:0.174808:0.433673:0.169596:0.433673:0.000000
 :@0.181796:0.456984:0.185832:0.456984:0.185832:0.441314:0.181796:0.441314:0.000000
=:@0.200281:0.427206:0.210398:0.427206:0.210398:0.411633:0.200281:0.411633:0.000000
+:@0.240951:0.427206:0.251067:0.427206:0.251067:0.411633:0.240951:0.411633:0.000000
=:@0.200281:0.450937:0.210398:0.450937:0.210398:0.435364:0.200281:0.435364:0.000000
c:@0.188815:0.426528:0.196481:0.426528:0.196481:0.410167:0.188815:0.410167:0.000000
c:@0.188815:0.450260:0.196481:0.450260:0.196481:0.433898:0.188815:0.433898:0.000000
1:@0.225042:0.426528:0.234035:0.426528:0.234035:0.410858:0.225042:0.410858:0.000000
1:@0.252684:0.426528:0.261677:0.426528:0.261677:0.410858:0.252684:0.410858:0.000000
2:@0.226195:0.450260:0.235188:0.450260:0.235188:0.434590:0.226195:0.434590:0.000000
2:@0.231430:0.418866:0.236642:0.418866:0.236642:0.409784:0.231430:0.409784:0.000000
2:@0.259069:0.418866:0.264281:0.418866:0.264281:0.409784:0.259069:0.409784:0.000000
Tomamos un compás para trasladar la medida de la hipotenusa sobre la recta nu-:@0.096359:0.480708:0.694629:0.480708:0.694629:0.465038:0.096359:0.465038:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mérica. Lo obtenido a la derecha de 0 es  2 , y lo marcado a la izquierda es :@0.096359:0.503597:0.650369:0.503591:0.650369:0.487921:0.096359:0.487927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.653351:0.503011:0.663468:0.503011:0.663468:0.487438:0.653351:0.487438:0.000000
2 .:@0.676543:0.502333:0.693780:0.503591:0.693780:0.487921:0.676543:0.486663:0.000000:0.000000:0.000000
 :@0.096356:0.527310:0.100391:0.527310:0.100391:0.511640:0.096356:0.511640:0.000000
Conjunto de números reales:@0.096359:0.675130:0.388750:0.675130:0.388750:0.653321:0.096359:0.653321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto formado por la unión del conjunto de los números racionales :@0.096359:0.694348:0.636799:0.694348:0.636799:0.678679:0.096359:0.678679:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y del conjunto de los números irracionales es el conjunto de los números reales.:@0.096359:0.710945:0.680838:0.710945:0.680838:0.695275:0.096359:0.695275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Redondeo de números reales:@0.096359:0.739509:0.349209:0.739509:0.349209:0.721072:0.096359:0.721072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.825644:0.165865:0.825644:0.165865:0.810532:0.096359:0.810532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Redondear  3  a las centésimas.:@0.096359:0.852405:0.334910:0.852405:0.334910:0.836735:0.096359:0.836735:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.877870:0.157020:0.877870:0.157020:0.862757:0.096359:0.862757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Calculamos su valor en la calculadora:   3  = 1,732050808. Como a 3 le sigue 2, y 2 :@0.096359:0.904632:0.698805:0.904632:0.698805:0.888962:0.096359:0.888962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no es igual ni mayor a 5, el redondeo es: :@0.096352:0.928766:0.393494:0.928766:0.393494:0.913096:0.096352:0.913096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 1,73:@0.406116:0.928416:0.461257:0.928416:0.461257:0.912033:0.406116:0.912033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≈:@0.419526:0.929038:0.430103:0.929038:0.430103:0.910197:0.419526:0.910197:0.000000
.:@0.463860:0.928772:0.467066:0.928772:0.467066:0.913102:0.463860:0.913102:0.000000
x:@0.533675:0.375185:0.541900:0.375185:0.541900:0.360448:0.533675:0.360448:0.000000
–1:@0.295366:0.384786:0.308306:0.384786:0.308306:0.373760:0.295366:0.373760:0.000000:0.000000
–2:@0.236472:0.384786:0.249413:0.384786:0.249413:0.373760:0.236472:0.373760:0.000000:0.000000
0:@0.364839:0.384786:0.371167:0.384786:0.371167:0.373760:0.364839:0.373760:0.000000
0:@0.342991:0.368914:0.349941:0.368914:0.349941:0.357022:0.342991:0.357022:0.000000
1:@0.346635:0.338464:0.353585:0.338464:0.353585:0.326572:0.346635:0.326572:0.000000
1:@0.437970:0.349655:0.444920:0.349655:0.444920:0.337763:0.437970:0.337763:0.000000
1:@0.388101:0.384786:0.395051:0.384786:0.395051:0.372894:0.388101:0.372894:0.000000
1:@0.417366:0.384786:0.423694:0.384786:0.423694:0.373760:0.417366:0.373760:0.000000
2:@0.474976:0.384786:0.481303:0.384786:0.481303:0.373760:0.474976:0.373760:0.000000
C:@0.373890:0.349324:0.381086:0.349324:0.381086:0.337617:0.373890:0.337617:0.000000
x:@0.556298:0.613365:0.565862:0.613365:0.565862:0.596230:0.556298:0.596230:0.000000
–1:@0.279195:0.624530:0.294242:0.624530:0.294242:0.611710:0.279195:0.611710:0.000000:0.000000
–2:@0.210714:0.624530:0.225761:0.624530:0.225761:0.611710:0.210714:0.611710:0.000000:0.000000
0:@0.359978:0.624530:0.367336:0.624530:0.367336:0.611710:0.359978:0.611710:0.000000
0:@0.329552:0.607330:0.337634:0.607330:0.337634:0.593503:0.329552:0.593503:0.000000
1:@0.338810:0.570668:0.346891:0.570668:0.346891:0.556840:0.338810:0.556840:0.000000
1:@0.429031:0.592394:0.437113:0.592394:0.437113:0.578566:0.429031:0.578566:0.000000
1:@0.387011:0.624530:0.395093:0.624530:0.395093:0.610703:0.387011:0.610703:0.000000
1:@0.421041:0.624530:0.428398:0.624530:0.428398:0.611710:0.421041:0.611710:0.000000
2:@0.488028:0.624530:0.495386:0.624530:0.495386:0.611710:0.488028:0.611710:0.000000
C:@0.370487:0.583296:0.378855:0.583296:0.378855:0.569683:0.370487:0.569683:0.000000
2:@0.452592:0.636307:0.461585:0.636307:0.461585:0.620638:0.452592:0.620638:0.000000
−:@0.235957:0.632862:0.246073:0.632862:0.246073:0.617290:0.235957:0.617290:0.000000
2:@0.259157:0.632185:0.268150:0.632185:0.268150:0.616515:0.259157:0.616515:0.000000
Existen números :@0.733044:0.180755:0.846942:0.180755:0.846942:0.166509:0.733044:0.166509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales famosos :@0.733044:0.195842:0.871921:0.195842:0.871921:0.181597:0.733044:0.181597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como pi::@0.733044:0.210930:0.791392:0.210930:0.791392:0.196685:0.733044:0.196685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.732580:0.230995:0.742436:0.230995:0.746884:0.215824:0.737027:0.215824:0.000000
=:@0.749056:0.230997:0.758912:0.230997:0.758912:0.215825:0.749056:0.215825:0.000000
3,141 592 653 589 793 23...:@0.760600:0.230337:0.943920:0.230337:0.943920:0.214370:0.760600:0.214370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.744464:0.234754:0.748133:0.234754:0.748133:0.220509:0.744464:0.220509:0.000000
π:@0.733357:0.229696:0.740865:0.229696:0.744253:0.218016:0.736745:0.218016:0.000000
=:@0.745908:0.229697:0.753416:0.229697:0.753416:0.218018:0.745908:0.218018:0.000000
3,141 592 653 589 793 23...:@0.754701:0.229189:0.894340:0.229189:0.894340:0.216897:0.754701:0.216897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número de Euler::@0.733044:0.256970:0.849170:0.256970:0.849170:0.242724:0.733044:0.242724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.745293:0.277217:0.754750:0.277217:0.754750:0.262659:0.745293:0.262659:0.000000
e:@0.734596:0.276583:0.741883:0.276583:0.741883:0.261289:0.734596:0.261289:0.000000
2,718 281 828 459 045 2...:@0.757834:0.276583:0.935464:0.276583:0.935464:0.261263:0.757834:0.261263:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.743015:0.280808:0.746684:0.280808:0.746684:0.266563:0.743015:0.266563:0.000000
=:@0.747838:0.275896:0.754931:0.275896:0.754931:0.264978:0.747838:0.264978:0.000000
e:@0.739815:0.275421:0.745280:0.275421:0.745280:0.263950:0.739815:0.263950:0.000000
2,718 281 828 459 045 2...:@0.757243:0.275421:0.890467:0.275421:0.890467:0.263931:0.757243:0.263931:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La razón de oro::@0.733044:0.303023:0.838951:0.303023:0.838951:0.288778:0.733044:0.288778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8:@0.723669:0.324697:0.732662:0.324697:0.732662:0.309027:0.723669:0.309027:0.000000
ϕ:@0.730330:0.325291:0.741442:0.325291:0.747445:0.307271:0.736333:0.307271:0.000000
φ:@0.735772:0.323220:0.742972:0.323220:0.746396:0.311541:0.739195:0.311541:0.000000
=:@0.746994:0.323258:0.754581:0.323258:0.754581:0.311578:0.746994:0.311578:0.000000
1,618 033 988 749 8...:@0.756171:0.322750:0.872320:0.322750:0.872320:0.310458:0.756171:0.310458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunas raíces :@0.733044:0.350724:0.832469:0.350724:0.832469:0.336479:0.733044:0.336479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadradas de números :@0.733044:0.365812:0.889526:0.365812:0.889526:0.351567:0.733044:0.351567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales son números :@0.733044:0.380899:0.888957:0.380899:0.888957:0.366654:0.733044:0.366654:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales.:@0.733044:0.395987:0.811276:0.395987:0.811276:0.381742:0.733044:0.381742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Sabías que?:@0.765616:0.156245:0.867484:0.156245:0.867484:0.139344:0.765616:0.139344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.733044:0.499387:0.784189:0.499387:0.784189:0.484275:0.733044:0.484275:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a: :@0.784189:0.499387:0.802047:0.499387:0.802047:0.485142:0.784189:0.485142:0.000000:0.000000:0.000000:0.000000
lynk.ec/9m02 :@0.802047:0.499387:0.895006:0.499387:0.895006:0.484262:0.802047:0.484262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y :@0.733044:0.516990:0.744084:0.516990:0.744084:0.502744:0.733044:0.502744:0.000000:0.000000
aprende:@0.744084:0.516990:0.802533:0.516990:0.802533:0.501877:0.744084:0.501877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 a ubicar :@0.802533:0.516990:0.862808:0.516990:0.862808:0.502744:0.802533:0.502744:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.747020:0.534906:0.764803:0.534906:0.764803:0.519236:0.747020:0.519236:0.000000:0.000000
 en la recta :@0.766549:0.534592:0.842804:0.534592:0.842804:0.520347:0.766549:0.520347:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica.:@0.733044:0.552194:0.799315:0.552194:0.799315:0.537949:0.733044:0.537949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia digital:@0.747853:0.473757:0.898755:0.473757:0.898755:0.456857:0.747853:0.456857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recuerda que...:@0.761141:0.670219:0.883222:0.670219:0.883222:0.653319:0.761141:0.653319:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.788184:0.746864:0.802521:0.746864:0.802521:0.730116:0.788184:0.730116:0.000000
:@0.809291:0.729355:0.822595:0.729355:0.822595:0.712607:0.809291:0.712607:0.000000
:@0.809291:0.750101:0.821582:0.750101:0.821582:0.733352:0.809291:0.733352:0.000000
:@0.809291:0.770846:0.822595:0.770846:0.822595:0.754098:0.809291:0.754098:0.000000
:@0.785380:0.749969:0.798685:0.749969:0.798685:0.733220:0.785380:0.733220:0.000000
:@0.785380:0.770714:0.797671:0.770714:0.797671:0.753966:0.785380:0.753966:0.000000
:@0.785380:0.791460:0.798685:0.791460:0.798685:0.774711:0.785380:0.774711:0.000000
:@0.759109:0.728870:0.772414:0.728870:0.772414:0.712121:0.759109:0.712121:0.000000
:@0.759109:0.749615:0.771400:0.749615:0.771400:0.732867:0.759109:0.732867:0.000000
:@0.759109:0.770361:0.772414:0.770361:0.772414:0.753612:0.759109:0.753612:0.000000
Q:@0.847843:0.761898:0.863483:0.761898:0.863483:0.739629:0.847843:0.739629:0.000000
':@0.863483:0.767135:0.868247:0.767135:0.868247:0.746409:0.863483:0.746409:0.000000
=:@0.787307:0.699766:0.796830:0.699766:0.796830:0.685107:0.787307:0.685107:0.000000
∪:@0.815303:0.699766:0.828625:0.699766:0.828625:0.685107:0.815303:0.685107:0.000000
Los números reales se redondean según la cifra propuesta. Si el número que :@0.110882:0.778586:0.682830:0.778586:0.682830:0.762916:0.110882:0.762916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precede a esa cifra es 5 o mayor a 5, se le suma 1. Caso contrario, se la mantiene.:@0.107528:0.795183:0.682010:0.795183:0.682010:0.779513:0.107528:0.779513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Q:@0.829275:0.702208:0.842960:0.702208:0.842960:0.682722:0.829275:0.682722:0.000000
':@0.842960:0.706790:0.847129:0.706790:0.847129:0.688655:0.842960:0.688655:0.000000
 ©:@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