109:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Propiedades de la multiplicación de números racionales  :@0.096359:0.137532:0.685899:0.137532:0.685899:0.115723:0.096359:0.115723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la multiplicación de números racionales, se cumplen las siguientes propiedades: :@0.096359:0.160313:0.698760:0.160313:0.698760:0.144644:0.096359:0.144644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
También se cumplen las propiedades con los números racionales de expresión :@0.096359:0.720483:0.698759:0.720483:0.698759:0.704813:0.096359:0.704813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decimal.:@0.096359:0.737079:0.157760:0.737079:0.157760:0.721409:0.096359:0.721409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.762544:0.165865:0.762544:0.165865:0.747431:0.096359:0.747431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificamos:@0.096359:0.783019:0.204714:0.783019:0.204714:0.766119:0.096359:0.766119:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 las propiedades utilizadas en cada ejercicio::@0.204714:0.783019:0.526602:0.783019:0.526602:0.767350:0.204714:0.767350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.124848:0.806738:0.144087:0.806738:0.144087:0.789603:0.124848:0.789603:0.000000:0.000000:0.000000
1,1 × 2,5 = 2,5 × 1,1:@0.153337:0.806738:0.295267:0.806738:0.295267:0.791069:0.153337:0.791069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.156673:0.831467:0.251925:0.831467:0.251925:0.815797:0.156673:0.815797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.124848:0.855186:0.145229:0.855186:0.145229:0.838050:0.124848:0.838050:0.000000:0.000000:0.000000
0,9 × (0,8 + 1,3) = 0,9 × 0,8 + 0,9 × 1,3:@0.153337:0.855186:0.425771:0.855186:0.425771:0.839516:0.153337:0.839516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva:@0.156673:0.879915:0.240629:0.879915:0.240629:0.864245:0.156673:0.864245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.124848:0.903634:0.142668:0.903634:0.142668:0.886498:0.124848:0.886498:0.000000:0.000000:0.000000
(0,2 × 1,5) × (1,2 × 1) = (0, 2 × 1, 2) × (1,5 × 1):@0.153337:0.903634:0.478990:0.903634:0.478990:0.887964:0.153337:0.887964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.156673:0.928362:0.230660:0.928362:0.230660:0.912693:0.156673:0.912693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los ritmos y grados de :@0.733044:0.814702:0.886796:0.814702:0.886796:0.800457:0.733044:0.800457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atención suelen variar :@0.733044:0.829790:0.882909:0.829790:0.882909:0.815545:0.733044:0.815545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de persona a persona. :@0.733044:0.844877:0.883598:0.844877:0.883598:0.830632:0.733044:0.830632:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando hay dificultades :@0.733044:0.859965:0.897753:0.859965:0.897753:0.845720:0.733044:0.845720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
atencionales, es :@0.733044:0.875053:0.841665:0.875053:0.841665:0.860807:0.733044:0.860807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importante respetar los :@0.733044:0.890140:0.892709:0.890140:0.892709:0.875895:0.733044:0.875895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiempos propios para :@0.733044:0.905228:0.879207:0.905228:0.879207:0.890983:0.733044:0.890983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
terminar un trabajo.:@0.733044:0.920315:0.864951:0.920315:0.864951:0.906070:0.733044:0.906070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DFA:@0.765616:0.790192:0.797974:0.790192:0.797974:0.773292:0.765616:0.773292:0.000000:0.000000:0.000000
Propiedad:@0.120657:0.189533:0.198405:0.189533:0.198405:0.173955:0.120657:0.173955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado y expresión algebraica:@0.301448:0.189533:0.551324:0.189533:0.551324:0.173955:0.301448:0.173955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.732722:0.189533:0.801273:0.189533:0.801273:0.173955:0.732722:0.173955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.114374:0.228773:0.204685:0.228773:0.204685:0.213661:0.114374:0.213661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los factores no altera el producto.:@0.229329:0.217244:0.530298:0.217244:0.530298:0.202999:0.229329:0.202999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.293213:0.236875:0.307289:0.236875:0.307289:0.220431:0.293213:0.220431:0.000000
∈:@0.280675:0.236685:0.293575:0.236685:0.293575:0.221395:0.280675:0.221395:0.000000
×:@0.399037:0.236685:0.408969:0.236685:0.408969:0.221395:0.399037:0.221395:0.000000
×:@0.450763:0.236685:0.460696:0.236685:0.460696:0.221395:0.450763:0.221395:0.000000
Si mn:@0.231952:0.236019:0.278232:0.236019:0.278232:0.219956:0.231952:0.219956:0.000000:0.000000:0.000000:0.000000:0.000000
entonces mn:@0.316661:0.236019:0.421073:0.236019:0.421073:0.219956:0.316661:0.219956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nm:@0.439528:0.236019:0.477450:0.236019:0.477450:0.219956:0.439528:0.219956:0.000000:0.000000
,:@0.263776:0.236019:0.266924:0.236019:0.266924:0.220634:0.263776:0.220634:0.000000
,:@0.307416:0.236019:0.310564:0.236019:0.310564:0.220634:0.307416:0.220634:0.000000
=:@0.425198:0.236019:0.435982:0.236019:0.435982:0.220634:0.425198:0.220634:0.000000
.:@0.476925:0.236019:0.480073:0.236019:0.480073:0.220634:0.476925:0.220634:0.000000
y:@0.762386:0.227983:0.769119:0.227983:0.769119:0.213257:0.762386:0.213257:0.000000
4:@0.687754:0.219207:0.695847:0.219207:0.695847:0.205105:0.687754:0.205105:0.000000
5:@0.687943:0.238237:0.696036:0.238237:0.696036:0.224134:0.687943:0.224134:0.000000
2:@0.713055:0.219213:0.721148:0.219213:0.721148:0.205110:0.713055:0.205110:0.000000
7:@0.712725:0.238237:0.720818:0.238237:0.720818:0.224134:0.712725:0.224134:0.000000
8:@0.743209:0.219213:0.751303:0.219213:0.751303:0.205110:0.743209:0.205110:0.000000
35:@0.739582:0.238237:0.755587:0.238237:0.755587:0.224134:0.739582:0.224134:0.000000:0.000000
2:@0.778076:0.219213:0.786169:0.219213:0.786169:0.205110:0.778076:0.205110:0.000000
7:@0.777746:0.238237:0.785839:0.238237:0.785839:0.224134:0.777746:0.224134:0.000000
4:@0.803377:0.219213:0.811471:0.219213:0.811471:0.205110:0.803377:0.205110:0.000000
5:@0.803565:0.238237:0.811658:0.238237:0.811658:0.224134:0.803565:0.224134:0.000000
8:@0.834191:0.219213:0.842285:0.219213:0.842285:0.205110:0.834191:0.205110:0.000000
35:@0.830563:0.238237:0.846567:0.238237:0.846567:0.224134:0.830563:0.224134:0.000000:0.000000
×=:@0.700052:0.228593:0.734747:0.228593:0.734747:0.214577:0.700052:0.214577:0.000000:0.000000
×:@0.789710:0.228593:0.798815:0.228593:0.798815:0.214577:0.789710:0.214577:0.000000
=:@0.816610:0.228593:0.825715:0.228593:0.825715:0.214577:0.816610:0.214577:0.000000
Asociativa:@0.124057:0.298873:0.195004:0.298873:0.195004:0.283760:0.124057:0.283760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al agrupar de diferente forma los factores en una :@0.229329:0.280366:0.558593:0.280366:0.558593:0.266120:0.229329:0.266120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación, el producto no se altera.:@0.229329:0.295453:0.492004:0.295453:0.492004:0.281208:0.229329:0.281208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.300845:0.313604:0.313748:0.313604:0.313748:0.298531:0.300845:0.298531:0.000000
∈:@0.288973:0.313430:0.300798:0.313430:0.300798:0.299415:0.288973:0.299415:0.000000
×:@0.400257:0.313430:0.409363:0.313430:0.409363:0.299415:0.400257:0.299415:0.000000
×:@0.427589:0.313430:0.436694:0.313430:0.436694:0.299415:0.427589:0.299415:0.000000
×:@0.478389:0.313430:0.487494:0.313430:0.487494:0.299415:0.478389:0.299415:0.000000
×:@0.504294:0.313430:0.513399:0.313430:0.513399:0.299415:0.504294:0.299415:0.000000
Si mn s:@0.232008:0.312820:0.285610:0.312820:0.285610:0.298095:0.232008:0.298095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entoncesm n:@0.318880:0.312820:0.420744:0.312820:0.420744:0.298095:0.318880:0.298095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
s:@0.439518:0.312820:0.445256:0.312820:0.445256:0.298095:0.439518:0.298095:0.000000
m:@0.462986:0.312820:0.476154:0.312820:0.476154:0.298095:0.462986:0.298095:0.000000
n s:@0.493751:0.312820:0.521961:0.312820:0.521961:0.298095:0.493751:0.298095:0.000000:0.000000:0.000000
,,:@0.261413:0.312820:0.277865:0.312820:0.277865:0.298717:0.261413:0.298717:0.000000:0.000000
,:@0.313987:0.312820:0.316873:0.312820:0.316873:0.298717:0.313987:0.298717:0.000000
(:@0.379614:0.312820:0.384008:0.312820:0.384008:0.298717:0.379614:0.298717:0.000000
):@0.421175:0.312820:0.425570:0.312820:0.425570:0.298717:0.421175:0.298717:0.000000
=:@0.449867:0.312820:0.459752:0.312820:0.459752:0.298717:0.449867:0.298717:0.000000
(:@0.489588:0.312820:0.493983:0.312820:0.493983:0.298717:0.489588:0.298717:0.000000
).:@0.523139:0.312820:0.530171:0.312820:0.530171:0.298717:0.523139:0.298717:0.000000:0.000000
3:@0.719148:0.268928:0.727241:0.268928:0.727241:0.254825:0.719148:0.254825:0.000000
4:@0.718965:0.287922:0.727059:0.287922:0.727059:0.273820:0.718965:0.273820:0.000000
2:@0.744261:0.268928:0.752355:0.268928:0.752355:0.254825:0.744261:0.254825:0.000000
5:@0.744444:0.287922:0.752537:0.287922:0.752537:0.273820:0.744444:0.273820:0.000000
3:@0.778562:0.268928:0.786655:0.268928:0.786655:0.254825:0.778562:0.254825:0.000000
8:@0.778230:0.287922:0.786324:0.287922:0.786324:0.273820:0.778230:0.273820:0.000000
=:@0.790954:0.278196:0.800059:0.278196:0.800059:0.261978:0.790954:0.261978:0.000000
9:@0.808666:0.268923:0.816760:0.268923:0.816760:0.254820:0.808666:0.254820:0.000000
80:@0.804702:0.287918:0.820707:0.287918:0.820707:0.273815:0.804702:0.273815:0.000000:0.000000
3 2:@0.716228:0.308320:0.745947:0.308320:0.745947:0.294218:0.716228:0.294218:0.000000:0.000000:0.000000
4 5 8:@0.716045:0.327315:0.770586:0.327315:0.770586:0.313212:0.716045:0.313212:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.762825:0.308320:0.770918:0.308320:0.770918:0.294218:0.762825:0.294218:0.000000
=:@0.784546:0.317590:0.793651:0.317590:0.793651:0.301371:0.784546:0.301371:0.000000
9:@0.802258:0.308317:0.810352:0.308317:0.810352:0.294214:0.802258:0.294214:0.000000
80:@0.798295:0.327311:0.814299:0.327311:0.814299:0.313209:0.798295:0.313209:0.000000:0.000000
Del elemento :@0.112483:0.376440:0.210131:0.376440:0.210131:0.361327:0.112483:0.361327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.136037:0.391527:0.183010:0.391527:0.183010:0.376415:0.136037:0.376415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación de un número racional con 1 da como :@0.229314:0.356159:0.606541:0.356159:0.606541:0.341914:0.229314:0.341914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto el mismo número racional.:@0.229314:0.371247:0.473024:0.371247:0.473024:0.357002:0.229314:0.357002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 es el elemento neutro.:@0.229314:0.389893:0.402262:0.389893:0.402262:0.374529:0.229314:0.374529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.275780:0.408040:0.288684:0.408040:0.288684:0.392967:0.275780:0.392967:0.000000
∈:@0.263906:0.407866:0.275731:0.407866:0.275731:0.393850:0.263906:0.393850:0.000000
×:@0.369585:0.407866:0.378690:0.407866:0.378690:0.393850:0.369585:0.393850:0.000000
×:@0.442758:0.407866:0.451863:0.407866:0.451863:0.393850:0.442758:0.393850:0.000000
Si m:@0.232008:0.407256:0.261048:0.407256:0.261048:0.392531:0.232008:0.392531:0.000000:0.000000:0.000000:0.000000
entoncesm:@0.293820:0.407256:0.367357:0.407256:0.367357:0.392531:0.293820:0.392531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.404607:0.407256:0.417775:0.407256:0.417775:0.392531:0.404607:0.392531:0.000000
m:@0.454362:0.407256:0.467530:0.407256:0.467530:0.392531:0.454362:0.392531:0.000000
,:@0.288944:0.407256:0.291830:0.407256:0.291830:0.393153:0.288944:0.393153:0.000000
1 =:@0.380161:0.407256:0.401406:0.407256:0.401406:0.393153:0.380161:0.393153:0.000000:0.000000:0.000000
= 1:@0.421905:0.407256:0.443100:0.407256:0.443100:0.393153:0.421905:0.393153:0.000000:0.000000:0.000000
.:@0.467182:0.407256:0.470067:0.407256:0.470067:0.393153:0.467182:0.393153:0.000000
×=:@0.747779:0.383808:0.782475:0.383808:0.782475:0.369792:0.747779:0.369792:0.000000:0.000000
1:@0.735153:0.383198:0.743246:0.383198:0.743246:0.369095:0.735153:0.369095:0.000000
2:@0.760777:0.374422:0.768870:0.374422:0.768870:0.360320:0.760777:0.360320:0.000000
7:@0.760454:0.393452:0.768548:0.393452:0.768548:0.379349:0.760454:0.379349:0.000000
2:@0.787310:0.374428:0.795403:0.374428:0.795403:0.360325:0.787310:0.360325:0.000000
7:@0.786980:0.393452:0.795073:0.393452:0.795073:0.379349:0.786980:0.379349:0.000000
Distributiva:@0.119025:0.467662:0.200038:0.467662:0.200038:0.452549:0.119025:0.452549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número racional multiplicado por una adición :@0.229322:0.441611:0.562342:0.441611:0.562342:0.427365:0.229322:0.427365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o sustracción es igual a la suma o resta de los productos :@0.229322:0.456698:0.605575:0.456698:0.605575:0.442453:0.229322:0.442453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del número por cada elemento.:@0.229322:0.471786:0.440299:0.471786:0.440299:0.457541:0.229322:0.457541:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.300845:0.489937:0.313748:0.489937:0.313748:0.474863:0.300845:0.474863:0.000000
∈:@0.288973:0.489763:0.300798:0.489763:0.300798:0.475747:0.288973:0.475747:0.000000
+:@0.408185:0.489763:0.417290:0.489763:0.417290:0.475747:0.408185:0.475747:0.000000
×:@0.463819:0.489763:0.472925:0.489763:0.472925:0.475747:0.463819:0.475747:0.000000
×:@0.508400:0.489763:0.517505:0.489763:0.517505:0.475747:0.508400:0.475747:0.000000
Si mn s:@0.232013:0.489153:0.285615:0.489153:0.285615:0.474428:0.232013:0.474428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entoncesm ns:@0.318884:0.489153:0.425840:0.489153:0.425840:0.474428:0.318884:0.474428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.448429:0.489153:0.461597:0.489153:0.461597:0.474428:0.448429:0.474428:0.000000
m s:@0.493009:0.489153:0.526062:0.489153:0.526062:0.474428:0.493009:0.474428:0.000000:0.000000:0.000000
,,:@0.261410:0.489153:0.277862:0.489153:0.277862:0.475050:0.261410:0.475050:0.000000:0.000000
,:@0.313984:0.489153:0.316870:0.489153:0.316870:0.475050:0.313984:0.475050:0.000000
(:@0.392049:0.489153:0.396444:0.489153:0.396444:0.475050:0.392049:0.475050:0.000000
)=:@0.427010:0.489153:0.445187:0.489153:0.445187:0.475050:0.427010:0.475050:0.000000:0.000000
n+:@0.474692:0.489153:0.493200:0.489153:0.493200:0.475050:0.474692:0.475050:0.000000:0.000000
.:@0.526188:0.489153:0.529074:0.489153:0.529074:0.475050:0.526188:0.475050:0.000000
2 4:@0.658638:0.439149:0.688546:0.439149:0.688546:0.425046:0.658638:0.425046:0.000000:0.000000:0.000000
3 5:@0.658821:0.458143:0.688729:0.458143:0.688729:0.444041:0.658821:0.444041:0.000000:0.000000:0.000000
+:@0.692749:0.448419:0.701854:0.448419:0.701854:0.432200:0.692749:0.432200:0.000000
1:@0.706465:0.439145:0.714558:0.439145:0.714558:0.425043:0.706465:0.425043:0.000000
2:@0.705752:0.458140:0.713845:0.458140:0.713845:0.444037:0.705752:0.444037:0.000000
=:@0.727474:0.448419:0.736579:0.448419:0.736579:0.432200:0.727474:0.432200:0.000000
2:@0.761587:0.439149:0.769680:0.439149:0.769680:0.425046:0.761587:0.425046:0.000000
3:@0.761769:0.458143:0.769862:0.458143:0.769862:0.444041:0.761769:0.444041:0.000000
4:@0.786888:0.439149:0.794981:0.439149:0.794981:0.425046:0.786888:0.425046:0.000000
5:@0.787070:0.458143:0.795164:0.458143:0.795164:0.444041:0.787070:0.444041:0.000000
+:@0.808513:0.448419:0.817618:0.448419:0.817618:0.432200:0.808513:0.432200:0.000000
2:@0.841872:0.439149:0.849966:0.439149:0.849966:0.425046:0.841872:0.425046:0.000000
3 2:@0.842055:0.458143:0.874601:0.458143:0.874601:0.444041:0.842055:0.444041:0.000000:0.000000:0.000000
1:@0.867221:0.439149:0.875314:0.439149:0.875314:0.425046:0.867221:0.425046:0.000000
=:@0.711596:0.486750:0.720701:0.486750:0.720701:0.470531:0.711596:0.470531:0.000000
8:@0.739488:0.477480:0.747582:0.477480:0.747582:0.463377:0.739488:0.463377:0.000000
15 3:@0.735342:0.496469:0.775617:0.496469:0.775617:0.482366:0.735342:0.482366:0.000000:0.000000:0.000000:0.000000
1:@0.768041:0.477480:0.776135:0.477480:0.776135:0.463377:0.768041:0.463377:0.000000
=:@0.779538:0.486750:0.788644:0.486750:0.788644:0.470531:0.779538:0.470531:0.000000
13:@0.803285:0.477480:0.819289:0.477480:0.819289:0.463377:0.803285:0.463377:0.000000:0.000000
15:@0.803285:0.496469:0.819289:0.496469:0.819289:0.482366:0.803285:0.482366:0.000000:0.000000
Clausurativa:@0.116646:0.542015:0.202416:0.542015:0.202416:0.526902:0.116646:0.526902:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al multiplicar dos números racionales se obtiene como :@0.229322:0.523507:0.599497:0.523507:0.599497:0.509262:0.229322:0.509262:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado otro número racional.:@0.229322:0.538595:0.439161:0.538595:0.439161:0.524350:0.229322:0.524350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.291422:0.556745:0.176589:0.556745:0.176589:0.541671:0.291422:0.541671:0.000000
:@0.419159:0.556745:0.304325:0.556745:0.304325:0.541671:0.419159:0.541671:0.000000
∈:@0.279547:0.556571:0.291372:0.556571:0.291372:0.542555:0.279547:0.542555:0.000000
× ∈:@0.385226:0.556571:0.419109:0.556571:0.419109:0.542555:0.385226:0.542555:0.000000:0.000000:0.000000
Si mn:@0.232015:0.555961:0.274870:0.555961:0.274870:0.541236:0.232015:0.541236:0.000000:0.000000:0.000000:0.000000:0.000000
entonces m:@0.309467:0.555961:0.382987:0.555961:0.382987:0.541236:0.309467:0.541236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,,:@0.261404:0.555961:0.277856:0.555961:0.277856:0.541858:0.261404:0.541858:0.000000:0.000000
,:@0.304557:0.555961:0.307443:0.555961:0.307443:0.541858:0.304557:0.541858:0.000000
n:@0.396106:0.555961:0.404995:0.555961:0.404995:0.541858:0.396106:0.541858:0.000000
.:@0.431581:0.555961:0.434467:0.555961:0.434467:0.541858:0.431581:0.541858:0.000000
−× =−:@0.719935:0.541839:0.792991:0.541839:0.792991:0.527823:0.719935:0.527823:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.733319:0.532454:0.741413:0.532454:0.741413:0.518351:0.733319:0.518351:0.000000
4:@0.733137:0.551473:0.741230:0.551473:0.741230:0.537370:0.733137:0.537370:0.000000
2:@0.758445:0.532454:0.766539:0.532454:0.766539:0.518351:0.758445:0.518351:0.000000
5:@0.758628:0.551473:0.766721:0.551473:0.766721:0.537370:0.758628:0.537370:0.000000
3:@0.800189:0.532454:0.808283:0.532454:0.808283:0.518351:0.800189:0.518351:0.000000
10:@0.795380:0.551473:0.811384:0.551473:0.811384:0.537370:0.795380:0.537370:0.000000:0.000000
Inverso :@0.134110:0.626054:0.188506:0.626054:0.188506:0.610941:0.134110:0.610941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativo:@0.111495:0.641142:0.207585:0.641142:0.207585:0.626029:0.111495:0.626029:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El inverso multiplicativo de un número racional x no nulo :@0.229331:0.584211:0.613125:0.584211:0.613125:0.569966:0.229331:0.569966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es el número denotado como 1⁄x o x , que multiplicado :@0.229331:0.599299:0.612646:0.599293:0.612646:0.585047:0.229331:0.585054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−1:@0.477791:0.593795:0.488378:0.593795:0.488378:0.585490:0.477791:0.585490:0.000000:0.000000
por x da 1 como resultado. :@0.229318:0.614380:0.410525:0.614380:0.410525:0.600135:0.229318:0.600135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.275780:0.642711:0.288684:0.642711:0.288684:0.627637:0.275780:0.627637:0.000000
∈:@0.263906:0.642536:0.275731:0.642536:0.275731:0.628521:0.263906:0.628521:0.000000
≠:@0.309846:0.642536:0.318951:0.642536:0.318951:0.628521:0.309846:0.628521:0.000000
Si m:@0.232013:0.641926:0.261053:0.641926:0.261053:0.627201:0.232013:0.627201:0.000000:0.000000:0.000000:0.000000
m:@0.293493:0.641926:0.306662:0.641926:0.306662:0.627201:0.293493:0.627201:0.000000
entonces:@0.335950:0.641926:0.391676:0.641926:0.391676:0.627201:0.335950:0.627201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.399884:0.652182:0.413052:0.652182:0.413052:0.637457:0.399884:0.637457:0.000000
,:@0.288926:0.641926:0.291812:0.641926:0.291812:0.627824:0.288926:0.627824:0.000000
0,:@0.322378:0.641926:0.333937:0.641926:0.333937:0.627824:0.322378:0.627824:0.000000:0.000000
1:@0.403179:0.633151:0.411273:0.633151:0.411273:0.619048:0.403179:0.619048:0.000000
 es su inverso multiplicativo.:@0.417787:0.640450:0.603853:0.640450:0.603853:0.626205:0.417787:0.626205:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.247087:0.677533:0.256192:0.677533:0.256192:0.663518:0.247087:0.663518:0.000000
=:@0.277852:0.677533:0.286957:0.677533:0.286957:0.663518:0.277852:0.663518:0.000000
=:@0.309562:0.677533:0.318667:0.677533:0.318667:0.663518:0.309562:0.663518:0.000000
m:@0.231680:0.676923:0.244848:0.676923:0.244848:0.662198:0.231680:0.662198:0.000000
m:@0.260090:0.687180:0.273258:0.687180:0.273258:0.672455:0.260090:0.672455:0.000000
m:@0.291800:0.668160:0.304968:0.668160:0.304968:0.653435:0.291800:0.653435:0.000000
m:@0.291800:0.687180:0.304968:0.687180:0.304968:0.672455:0.291800:0.672455:0.000000
1:@0.263390:0.668160:0.271483:0.668160:0.271483:0.654058:0.263390:0.654058:0.000000
1:@0.321056:0.676936:0.329149:0.676936:0.329149:0.662833:0.321056:0.662833:0.000000
×=:@0.735624:0.633421:0.770270:0.633421:0.770270:0.619405:0.735624:0.619405:0.000000:0.000000
=:@0.793157:0.633421:0.802262:0.633421:0.802262:0.619405:0.793157:0.619405:0.000000
3 7:@0.724180:0.624036:0.756345:0.624042:0.756345:0.609940:0.724180:0.609933:0.000000:0.000000:0.000000
7:@0.723656:0.643067:0.731749:0.643067:0.731749:0.628964:0.723656:0.628964:0.000000
3:@0.748769:0.643067:0.756863:0.643067:0.756863:0.628964:0.748769:0.628964:0.000000
21:@0.775107:0.624042:0.791112:0.624042:0.791112:0.609940:0.775107:0.609940:0.000000:0.000000
21:@0.775107:0.643067:0.791112:0.643067:0.791112:0.628964:0.775107:0.628964:0.000000:0.000000
1:@0.804649:0.632811:0.812742:0.632811:0.812742:0.618708:0.804649:0.618708:0.000000
 ©:@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