23:@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
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Representación de números irracionales:@0.096359:0.107742:0.501933:0.107742:0.501933:0.086232:0.096359:0.086232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la recta numérica :@0.096359:0.128865:0.306053:0.128865:0.306053:0.107355:0.096359:0.107355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos: :@0.096359:0.151646:0.170070:0.151646:0.170070:0.135008:0.096359:0.135008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.096359:0.177024:0.115082:0.177024:0.115082:0.160124:0.096359:0.160124:0.000000:0.000000:0.000000
Representa   2  y :@0.120094:0.177024:0.255249:0.177028:0.255249:0.160639:0.120094:0.160635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.258241:0.178563:0.268357:0.178563:0.268357:0.162990:0.258241:0.162990:0.000000
2   en la recta numérica.:@0.281433:0.177885:0.456272:0.177028:0.456272:0.160639:0.281433:0.161497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096346:0.200747:0.160124:0.200747:0.160124:0.184109:0.096346:0.184109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la recta numérica ubicamos  la  unidad. Sobre  el final  de  ella, levantamos una :@0.096346:0.224466:0.716592:0.224466:0.716592:0.208077:0.096346:0.208077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
perpendicular de medida igual a la unidad y unimos los dos segmentos formando :@0.096346:0.241062:0.716469:0.241062:0.716469:0.224673:0.096346:0.224673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un triángulo rectángulo.:@0.096346:0.257659:0.273876:0.257659:0.273876:0.241270:0.096346:0.241270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.096346:0.288514:0.103053:0.288514:0.103053:0.271876:0.096346:0.271876:0.000000:0.000000
Aplicamos el teorema de Pitágoras para obtener la medida de la hipotenusa.:@0.096346:0.384635:0.656061:0.384635:0.656061:0.368246:0.096346:0.368246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.110808:0.413087:0.120925:0.413087:0.120925:0.397515:0.110808:0.397515:0.000000
+:@0.151478:0.413087:0.161595:0.413087:0.161595:0.397515:0.151478:0.397515:0.000000
=:@0.110808:0.436820:0.120925:0.436820:0.120925:0.421247:0.110808:0.421247:0.000000
c:@0.099343:0.412410:0.107009:0.412410:0.107009:0.396049:0.099343:0.396049:0.000000
c:@0.099343:0.436141:0.107009:0.436141:0.107009:0.419780:0.099343:0.419780:0.000000
1:@0.135572:0.412409:0.144565:0.412409:0.144565:0.396020:0.135572:0.396020:0.000000
1:@0.163213:0.412409:0.172206:0.412409:0.172206:0.396020:0.163213:0.396020:0.000000
2:@0.136714:0.436141:0.145707:0.436141:0.145707:0.419752:0.136714:0.419752:0.000000
2:@0.141957:0.404749:0.147169:0.404749:0.147169:0.395251:0.141957:0.395251:0.000000
2:@0.169596:0.404749:0.174808:0.404749:0.174808:0.395251:0.169596:0.395251:0.000000
=:@0.200281:0.389199:0.210398:0.389199:0.210398:0.373626:0.200281:0.373626:0.000000
+:@0.240951:0.389199:0.251067:0.389199:0.251067:0.373626:0.240951:0.373626:0.000000
=:@0.200281:0.412930:0.210398:0.412930:0.210398:0.397357:0.200281:0.397357:0.000000
c:@0.188815:0.388521:0.196481:0.388521:0.196481:0.372160:0.188815:0.372160:0.000000
c:@0.188815:0.412253:0.196481:0.412253:0.196481:0.395891:0.188815:0.395891:0.000000
1:@0.225042:0.388521:0.234035:0.388521:0.234035:0.372132:0.225042:0.372132:0.000000
1:@0.252684:0.388521:0.261677:0.388521:0.261677:0.372132:0.252684:0.372132:0.000000
2:@0.226195:0.412253:0.235188:0.412253:0.235188:0.395864:0.226195:0.395864:0.000000
2:@0.231430:0.380860:0.236642:0.380860:0.236642:0.371362:0.231430:0.371362:0.000000
2:@0.259069:0.380860:0.264281:0.380860:0.264281:0.371362:0.259069:0.371362:0.000000
Tomamos un compás para trasladar la medida de la hipotenusa sobre la recta numé-:@0.096359:0.442701:0.712428:0.442701:0.712428:0.426312:0.096359:0.426312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rica. Lo obtenido a la derecha de 0 es  2 , y lo marcado a la izquierda es :@0.096359:0.462022:0.626339:0.462020:0.626339:0.445631:0.096359:0.445633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.629323:0.462489:0.639440:0.462489:0.639440:0.446916:0.629323:0.446916:0.000000
2 .:@0.652523:0.461812:0.669750:0.462020:0.669750:0.445631:0.652523:0.445423:0.000000:0.000000:0.000000
b)  :@0.096356:0.618621:0.120201:0.618621:0.120201:0.601720:0.096356:0.601720:0.000000:0.000000:0.000000:0.000000
Ubica en la recta numérica los números irracionales.:@0.120090:0.618621:0.500157:0.618621:0.500157:0.602232:0.120090:0.602232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.120090:0.653460:0.134169:0.653460:0.134169:0.636559:0.120090:0.636559:0.000000:0.000000:0.000000
a)  5          :@0.128552:0.651990:0.210322:0.653455:0.210322:0.637066:0.128552:0.635601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       b)  8    8   :@0.169332:0.651990:0.275414:0.653455:0.275414:0.637066:0.169332:0.635601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii) :@0.210322:0.653455:0.229118:0.653455:0.229118:0.636554:0.210322:0.636554:0.000000:0.000000:0.000000:0.000000
a)  5:@0.149474:0.651990:0.188836:0.651990:0.188836:0.635601:0.149474:0.635601:0.000000:0.000000:0.000000:0.000000:0.000000
       b) :@0.190254:0.651990:0.237595:0.651990:0.237595:0.635601:0.190254:0.635601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096352:0.684310:0.160130:0.684310:0.160130:0.667672:0.096352:0.667672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Puesto que :@0.096352:0.710435:0.182925:0.710435:0.182925:0.694046:0.096352:0.694046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.197852:0.713061:0.206844:0.713061:0.206844:0.696672:0.197852:0.696672:0.000000
1:@0.228055:0.713061:0.237047:0.713061:0.237047:0.696672:0.228055:0.696672:0.000000
5 y :@0.264394:0.713061:0.290936:0.713061:0.290936:0.696672:0.264394:0.696672:0.000000:0.000000:0.000000:0.000000
2:@0.304069:0.713061:0.313061:0.713061:0.313061:0.696672:0.304069:0.696672:0.000000
2:@0.335431:0.713061:0.344423:0.713061:0.344423:0.696672:0.335431:0.696672:0.000000
8:@0.381703:0.713061:0.390695:0.713061:0.390695:0.696672:0.381703:0.696672:0.000000
2:@0.206595:0.705398:0.211806:0.705398:0.211806:0.695900:0.206595:0.695900:0.000000
2:@0.312815:0.705398:0.318026:0.705398:0.318026:0.695900:0.312815:0.695900:0.000000
2:@0.344174:0.705398:0.349385:0.705398:0.349385:0.695900:0.344174:0.695900:0.000000
+=:@0.216489:0.712646:0.248958:0.712646:0.248958:0.695704:0.216489:0.695704:0.000000:0.000000
+:@0.322706:0.712646:0.332822:0.712646:0.332822:0.695704:0.322706:0.695704:0.000000
=:@0.356152:0.712646:0.366269:0.712646:0.366269:0.695704:0.356152:0.695704:0.000000
 , para cada caso construimos los triángulos :@0.395587:0.710433:0.716523:0.710433:0.716523:0.694044:0.395587:0.694044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rectángulos en donde la longitud de la hipotenusa proyectada sobre la recta numé-:@0.096359:0.727029:0.712483:0.727029:0.712483:0.710640:0.096359:0.710640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rica es el valor buscado.:@0.096359:0.743626:0.269114:0.743626:0.269114:0.727237:0.096359:0.727237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.120094:0.778464:0.134172:0.778464:0.134172:0.761564:0.120094:0.761564:0.000000:0.000000:0.000000
a)  5      :@0.128552:0.776997:0.194180:0.778462:0.194180:0.762073:0.128552:0.760608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       b)  8:@0.169332:0.776997:0.238639:0.776997:0.238639:0.760608:0.169332:0.760608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.216976:0.778462:0.221012:0.778462:0.221012:0.762073:0.216976:0.762073:0.000000
 :@0.277286:0.778462:0.281322:0.778462:0.281322:0.762073:0.277286:0.762073:0.000000
 a)  5:@0.337594:0.778462:0.380674:0.776997:0.380674:0.760608:0.337594:0.762073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.397897:0.778462:0.412879:0.778462:0.412879:0.761561:0.397897:0.761561:0.000000:0.000000:0.000000
     8   :@0.412879:0.778462:0.467252:0.778462:0.467252:0.762073:0.412879:0.762073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       b) :@0.382093:0.776997:0.429433:0.776997:0.429433:0.760608:0.382093:0.760608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.556298:0.563419:0.565862:0.563419:0.565862:0.546283:0.556298:0.546283:0.000000
–1:@0.279195:0.574584:0.294302:0.574584:0.294302:0.560971:0.279195:0.560971:0.000000:0.000000
–2:@0.210714:0.574584:0.225821:0.574584:0.225821:0.560971:0.210714:0.560971:0.000000:0.000000
0:@0.359978:0.574584:0.367396:0.574584:0.367396:0.560971:0.359978:0.560971:0.000000
0:@0.329552:0.557384:0.337634:0.557384:0.337634:0.543556:0.329552:0.543556:0.000000
1:@0.338810:0.520721:0.346891:0.520721:0.346891:0.506893:0.338810:0.506893:0.000000
1:@0.429031:0.542447:0.437113:0.542447:0.437113:0.528620:0.429031:0.528620:0.000000
1:@0.387011:0.574584:0.395093:0.574584:0.395093:0.560756:0.387011:0.560756:0.000000
1:@0.421041:0.574584:0.428458:0.574584:0.428458:0.560971:0.421041:0.560971:0.000000
2:@0.488028:0.574584:0.495446:0.574584:0.495446:0.560971:0.488028:0.560971:0.000000
C:@0.370460:0.530830:0.376968:0.530830:0.376968:0.520242:0.370460:0.520242:0.000000
2:@0.452592:0.586361:0.461585:0.586361:0.461585:0.569972:0.452592:0.569972:0.000000
−:@0.235957:0.582917:0.246073:0.582917:0.246073:0.567344:0.235957:0.567344:0.000000
2:@0.259157:0.582240:0.268150:0.582240:0.268150:0.565851:0.259157:0.565851:0.000000
x:@0.533675:0.344841:0.541900:0.344841:0.541900:0.330105:0.533675:0.330105:0.000000
–1:@0.295366:0.354442:0.308358:0.354442:0.308358:0.342735:0.295366:0.342735:0.000000:0.000000
–2:@0.236472:0.354442:0.249465:0.354442:0.249465:0.342735:0.236472:0.342735:0.000000:0.000000
0:@0.364839:0.354442:0.371219:0.354442:0.371219:0.342735:0.364839:0.342735:0.000000
0:@0.342991:0.338570:0.349941:0.338570:0.349941:0.326678:0.342991:0.326678:0.000000
1:@0.346635:0.308120:0.353585:0.308120:0.353585:0.296228:0.346635:0.296228:0.000000
1:@0.437970:0.319311:0.444920:0.319311:0.444920:0.307419:0.437970:0.307419:0.000000
1:@0.388101:0.354442:0.395051:0.354442:0.395051:0.342550:0.388101:0.342550:0.000000
1:@0.417366:0.354442:0.423746:0.354442:0.423746:0.342735:0.417366:0.342735:0.000000
2:@0.474976:0.354442:0.481355:0.354442:0.481355:0.342735:0.474976:0.342735:0.000000
C:@0.373890:0.318980:0.381086:0.318980:0.381086:0.307273:0.373890:0.307273:0.000000
y:@0.367036:0.281417:0.375324:0.281417:0.375324:0.266680:0.367036:0.266680:0.000000
©:@0.925149:0.820818:0.925149:0.815710:0.913067:0.815710:0.913067:0.820818:0.000000
Freepik:@0.925149:0.815710:0.925149:0.794060:0.913238:0.794060:0.913238:0.815710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0:@0.417402:0.895525:0.425577:0.895525:0.425577:0.880626:0.417402:0.880626:0.000000
2:@0.548824:0.895525:0.557000:0.895525:0.557000:0.880626:0.548824:0.880626:0.000000
1:@0.483105:0.895525:0.491280:0.895525:0.491280:0.880626:0.483105:0.880626:0.000000
3:@0.614527:0.895525:0.622703:0.895525:0.622703:0.880626:0.614527:0.880626:0.000000
2:@0.543078:0.851160:0.551254:0.851160:0.551254:0.836261:0.543078:0.836261:0.000000
2:@0.485031:0.873754:0.493206:0.873754:0.493206:0.858855:0.485031:0.858855:0.000000
8:@0.468957:0.836878:0.477950:0.836878:0.477950:0.820489:0.468957:0.820489:0.000000
a)  5:@0.541128:0.888877:0.565112:0.888877:0.565112:0.878891:0.541128:0.878891:0.000000:0.000000:0.000000:0.000000:0.000000
       b)  8:@0.565976:0.888877:0.608205:0.888877:0.608205:0.878891:0.565976:0.878891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Existen números :@0.754202:0.149045:0.868100:0.149045:0.868100:0.134146:0.754202:0.134146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales famosos :@0.754202:0.164133:0.893080:0.164133:0.893080:0.149234:0.754202:0.149234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como pi::@0.754202:0.179221:0.812551:0.179221:0.812551:0.164322:0.754202:0.164322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.754360:0.194233:0.762085:0.194233:0.765571:0.182342:0.757846:0.182342:0.000000
=:@0.772849:0.194350:0.780759:0.194350:0.780759:0.182175:0.772849:0.182175:0.000000
3,14159265358979323...:@0.783035:0.193820:0.919614:0.193820:0.919614:0.181007:0.783035:0.181007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número de Euler::@0.754202:0.216524:0.870328:0.216524:0.870328:0.201625:0.754202:0.201625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.768745:0.231071:0.776654:0.231071:0.776654:0.218896:0.768745:0.218896:0.000000
e:@0.757262:0.230541:0.763357:0.230541:0.763357:0.217750:0.757262:0.217750:0.000000
2,7182818284590452...:@0.780285:0.230541:0.912427:0.230541:0.912427:0.217728:0.780285:0.217728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La razón de oro::@0.754202:0.253826:0.860109:0.253826:0.860109:0.238927:0.754202:0.238927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.768601:0.269057:0.777301:0.269057:0.777301:0.255664:0.768601:0.255664:0.000000
1,6180339887498...:@0.779125:0.268204:0.887581:0.268204:0.887581:0.255391:0.779125:0.255391:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Algunas raíces cuadradas :@0.754202:0.291129:0.925897:0.291129:0.925897:0.276230:0.754202:0.276230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números naturales son :@0.754202:0.306217:0.931022:0.306217:0.931022:0.291318:0.754202:0.291318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números irracionales.:@0.754202:0.321305:0.895741:0.321305:0.895741:0.306406:0.754202:0.306406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775067:0.116602:0.882608:0.116602:0.882608:0.099701:0.775067:0.099701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa a: :@0.754621:0.460381:0.820960:0.460381:0.820960:0.445482:0.754621:0.445482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/9mt02:@0.754621:0.475468:0.844615:0.475468:0.844615:0.460595:0.754621:0.460595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y aprende a ubicar :@0.754621:0.493071:0.881889:0.493071:0.881889:0.478172:0.754621:0.478172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
11:@0.895865:0.493385:0.913648:0.493385:0.913648:0.476996:0.895865:0.476996:0.000000:0.000000
en la recta numérica.:@0.754621:0.510673:0.893480:0.510673:0.893480:0.495774:0.754621:0.495774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Digital:@0.806394:0.427940:0.856865:0.427940:0.856865:0.411039:0.806394:0.411039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.234085:0.849519:0.242261:0.849519:0.242261:0.834620:0.234085:0.834620:0.000000
5:@0.175429:0.839201:0.184421:0.839201:0.184421:0.822812:0.175429:0.822812:0.000000
5:@0.283286:0.898502:0.292278:0.898502:0.292278:0.882114:0.283286:0.882114:0.000000
0:@0.118223:0.895824:0.126398:0.895824:0.126398:0.880925:0.118223:0.880925:0.000000
2:@0.249646:0.895824:0.257821:0.895824:0.257821:0.880925:0.249646:0.880925:0.000000
1:@0.183926:0.895824:0.192101:0.895824:0.192101:0.880925:0.183926:0.880925:0.000000
3:@0.315348:0.895824:0.323524:0.895824:0.323524:0.880925:0.315348:0.880925:0.000000
 ©:@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