47:@0.942772:0.974518:0.963274:0.974518:0.963274:0.956333:0.942772:0.956333:0.000000:0.000000 Pensamiento numérico:@0.721207:0.043660:0.926911:0.043660:0.926911:0.024915:0.721207:0.024915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5.2 Propiedades de la multiplicación de números racionales :@0.073089:0.136836:0.546588:0.136836:0.546588:0.119889:0.073089:0.119889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En la multiplicación de números racionales, se cumplen las siguientes propiedades: :@0.073089:0.164199:0.678494:0.164199:0.678494:0.147766:0.073089:0.147766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedad:@0.093989:0.199773:0.175951:0.199773:0.175951:0.182826:0.093989:0.182826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Enunciado:@0.358446:0.199773:0.442273:0.199773:0.442273:0.182826:0.358446:0.182826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplos:@0.729077:0.199773:0.801618:0.199773:0.801618:0.182826:0.729077:0.182826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Conmutativa:@0.087786:0.240406:0.182190:0.240406:0.182190:0.223973:0.087786:0.223973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El orden de los factores no altera el producto.:@0.205906:0.226719:0.533098:0.226719:0.533098:0.210285:0.205906:0.210285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.205906:0.254080:0.222178:0.254080:0.222178:0.237647:0.205906:0.237647:0.000000:0.000000:0.000000 m, n:@0.222086:0.254080:0.252623:0.254080:0.252623:0.237674:0.222086:0.237674:0.000000:0.000000:0.000000:0.000000 :@0.252586:0.254080:0.256618:0.254080:0.256618:0.237647:0.252586:0.237647:0.000000 [:@0.256544:0.253942:0.271877:0.253942:0.271877:0.239893:0.256544:0.239893:0.000000 , entonces :@0.282509:0.254091:0.455189:0.254091:0.455189:0.237657:0.282509:0.237657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.360920:0.254091:0.375536:0.254091:0.375536:0.237684:0.360920:0.237684:0.000000 3 5 3:@0.377689:0.253536:0.451250:0.253536:0.451250:0.239820:0.377689:0.239820:0.000000:0.000000:0.000000:0.000000:0.000000 n:@0.395151:0.254091:0.404649:0.254091:0.404649:0.237684:0.395151:0.237684:0.000000 n:@0.424265:0.254091:0.433763:0.254091:0.433763:0.237684:0.424265:0.237684:0.000000 m:@0.453378:0.254091:0.467994:0.254091:0.467994:0.237684:0.453378:0.237684:0.000000 4:@0.658801:0.232088:0.667784:0.232088:0.667784:0.215654:0.658801:0.215654:0.000000 5:@0.658801:0.246067:0.667784:0.246067:0.667784:0.229633:0.658801:0.229633:0.000000 :@0.674714:0.237305:0.696207:0.237305:0.696207:0.220871:0.674714:0.220871:0.000000:0.000000:0.000000 3:@0.676934:0.236750:0.692268:0.236750:0.692268:0.223035:0.676934:0.223035:0.000000 2:@0.700224:0.232088:0.709207:0.232088:0.709207:0.215654:0.700224:0.215654:0.000000 7:@0.700224:0.246067:0.709207:0.246067:0.709207:0.229633:0.700224:0.229633:0.000000 :@0.714955:0.237305:0.736448:0.237305:0.736448:0.220871:0.714955:0.220871:0.000000:0.000000:0.000000 5:@0.717176:0.236750:0.732509:0.236750:0.732509:0.223035:0.717176:0.223035:0.000000 8:@0.743291:0.232088:0.752274:0.232088:0.752274:0.215654:0.743291:0.215654:0.000000 35:@0.738836:0.246067:0.756728:0.246067:0.756728:0.229633:0.738836:0.229633:0.000000:0.000000 y :@0.760846:0.237305:0.775130:0.237305:0.775130:0.220871:0.760846:0.220871:0.000000:0.000000:0.000000 2:@0.780159:0.232088:0.789142:0.232088:0.789142:0.215654:0.780159:0.215654:0.000000 7:@0.780159:0.246067:0.789142:0.246067:0.789142:0.229633:0.780159:0.229633:0.000000 :@0.794183:0.237305:0.798215:0.237305:0.798215:0.220871:0.794183:0.220871:0.000000 3 :@0.796404:0.236750:0.816247:0.236750:0.816247:0.223035:0.796404:0.223035:0.000000:0.000000 4:@0.818976:0.232088:0.827959:0.232088:0.827959:0.215654:0.818976:0.215654:0.000000 5:@0.818976:0.246067:0.827959:0.246067:0.827959:0.229633:0.818976:0.229633:0.000000 :@0.833001:0.237305:0.854494:0.237305:0.854494:0.220871:0.833001:0.220871:0.000000:0.000000:0.000000 5:@0.835222:0.236750:0.850555:0.236750:0.850555:0.223035:0.835222:0.223035:0.000000 8:@0.861336:0.232088:0.870319:0.232088:0.870319:0.215654:0.861336:0.215654:0.000000 35:@0.856882:0.246067:0.874774:0.246067:0.874774:0.229633:0.856882:0.229633:0.000000:0.000000 :@0.878894:0.237305:0.882925:0.237305:0.882925:0.220871:0.878894:0.220871:0.000000 Asociativa:@0.098373:0.303570:0.171608:0.303570:0.171608:0.287136:0.098373:0.287136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Al agrupar de diferente forma los factores en una :@0.205908:0.281561:0.564106:0.281561:0.564106:0.265127:0.205908:0.265127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplicación, el producto no se altera.:@0.205908:0.298203:0.491563:0.298203:0.491563:0.281769:0.205908:0.281769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.205908:0.325565:0.222180:0.325565:0.222180:0.309131:0.205908:0.309131:0.000000:0.000000:0.000000 m, n:@0.222088:0.325565:0.252626:0.325565:0.252626:0.309159:0.222088:0.309159:0.000000:0.000000:0.000000:0.000000 :@0.252589:0.325565:0.256620:0.325565:0.256620:0.309131:0.252589:0.309131:0.000000 [:@0.256547:0.325426:0.271880:0.325426:0.271880:0.311378:0.256547:0.311378:0.000000 , entonces ( ) ( ):@0.282509:0.325572:0.539159:0.325572:0.539159:0.309138:0.282509:0.309138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.365718:0.325572:0.380333:0.325572:0.380333:0.309166:0.365718:0.309166:0.000000 3:@0.382487:0.325018:0.397820:0.325018:0.397820:0.311302:0.382487:0.311302:0.000000 n:@0.399949:0.325572:0.409447:0.325572:0.409447:0.309166:0.399949:0.309166:0.000000 3 5:@0.416398:0.325018:0.457716:0.325018:0.457716:0.311302:0.416398:0.311302:0.000000:0.000000:0.000000 s:@0.433860:0.325572:0.440229:0.325572:0.440229:0.309166:0.433860:0.309166:0.000000 m:@0.459844:0.325572:0.474460:0.325572:0.474460:0.309166:0.459844:0.309166:0.000000 3:@0.476613:0.325018:0.491946:0.325018:0.491946:0.311302:0.476613:0.311302:0.000000 n:@0.498871:0.325572:0.508369:0.325572:0.508369:0.309166:0.498871:0.309166:0.000000 3:@0.510524:0.325018:0.525858:0.325018:0.525858:0.311302:0.510524:0.311302:0.000000 s:@0.527986:0.325572:0.534355:0.325572:0.534355:0.309166:0.527986:0.309166:0.000000 3:@0.700121:0.280574:0.709103:0.280574:0.709103:0.264140:0.700121:0.264140:0.000000 4:@0.700121:0.294553:0.709103:0.294553:0.709103:0.278119:0.700121:0.278119:0.000000 :@0.714207:0.286816:0.735699:0.286816:0.735699:0.270382:0.714207:0.270382:0.000000:0.000000:0.000000 3:@0.716426:0.286261:0.731759:0.286261:0.731759:0.272545:0.716426:0.272545:0.000000 2:@0.739072:0.280574:0.748055:0.280574:0.748055:0.264140:0.739072:0.264140:0.000000 5:@0.739072:0.294553:0.748055:0.294553:0.748055:0.278119:0.739072:0.278119:0.000000 :@0.756442:0.287398:0.761044:0.287398:0.761044:0.269744:0.756442:0.269744:0.000000 3 5 :@0.758651:0.286261:0.815213:0.286261:0.815213:0.272545:0.758651:0.272545:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.781283:0.280574:0.790266:0.280574:0.790266:0.264140:0.781283:0.264140:0.000000 8:@0.781283:0.294553:0.790266:0.294553:0.790266:0.278119:0.781283:0.278119:0.000000 9:@0.821473:0.281600:0.830456:0.281600:0.830456:0.265166:0.821473:0.265166:0.000000 80:@0.817019:0.295579:0.834910:0.295579:0.834910:0.279145:0.817019:0.279145:0.000000:0.000000 :@0.839029:0.286816:0.843060:0.286816:0.843060:0.270382:0.839029:0.270382:0.000000 3 2:@0.703586:0.312498:0.739074:0.312498:0.739074:0.296065:0.703586:0.296065:0.000000:0.000000:0.000000 4 5:@0.703586:0.326477:0.739074:0.326477:0.739074:0.310044:0.703586:0.310044:0.000000:0.000000:0.000000 :@0.717668:0.318739:0.721699:0.318739:0.721699:0.302305:0.717668:0.302305:0.000000 :@0.744176:0.318740:0.765669:0.318740:0.765669:0.302306:0.744176:0.302306:0.000000:0.000000:0.000000 3:@0.746397:0.318186:0.761730:0.318186:0.761730:0.304470:0.746397:0.304470:0.000000 3:@0.769041:0.312498:0.778024:0.312498:0.778024:0.296065:0.769041:0.296065:0.000000 8:@0.769041:0.326477:0.778024:0.326477:0.778024:0.310044:0.769041:0.310044:0.000000 :@0.786411:0.319323:0.791012:0.319323:0.791012:0.301669:0.786411:0.301669:0.000000 5 :@0.788619:0.318186:0.808462:0.318186:0.808462:0.304470:0.788619:0.304470:0.000000:0.000000 9:@0.814723:0.313525:0.823705:0.313525:0.823705:0.297091:0.814723:0.297091:0.000000 80:@0.810268:0.327504:0.828160:0.327504:0.828160:0.311070:0.810268:0.311070:0.000000:0.000000 :@0.832280:0.318740:0.836311:0.318740:0.836311:0.302306:0.832280:0.302306:0.000000 Del elemento :@0.085468:0.380412:0.188552:0.380412:0.188552:0.363978:0.085468:0.363978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 neutro:@0.110520:0.397054:0.159421:0.397054:0.159421:0.380620:0.110520:0.380620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La multiplicación de un número racional con 1 da :@0.205906:0.353050:0.570031:0.353050:0.570031:0.336616:0.205906:0.336616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como producto el mismo número racional.:@0.205906:0.369692:0.517762:0.369692:0.517762:0.353258:0.205906:0.353258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 es el elemento neutro.:@0.205906:0.397054:0.381068:0.397054:0.381068:0.380620:0.205906:0.380620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.205906:0.424416:0.222178:0.424416:0.222178:0.407982:0.205906:0.407982:0.000000:0.000000:0.000000 m:@0.222086:0.424416:0.236702:0.424416:0.236702:0.408010:0.222086:0.408010:0.000000 [:@0.236628:0.424277:0.251961:0.424277:0.251961:0.410229:0.236628:0.410229:0.000000 , entonces 1 1 ):@0.262614:0.424417:0.486074:0.424417:0.486074:0.407983:0.262614:0.407983:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.341025:0.424417:0.355641:0.424417:0.355641:0.408011:0.341025:0.408011:0.000000 3 5:@0.357794:0.423862:0.401711:0.423862:0.401711:0.410147:0.357794:0.410147:0.000000:0.000000:0.000000 m:@0.403839:0.424417:0.418455:0.424417:0.418455:0.408011:0.403839:0.408011:0.000000 5 3:@0.420610:0.423862:0.464526:0.423862:0.464526:0.410147:0.420610:0.410147:0.000000:0.000000:0.000000 m:@0.466655:0.424417:0.481270:0.424417:0.481270:0.408011:0.466655:0.408011:0.000000 1 :@0.721900:0.392747:0.812822:0.392746:0.812822:0.376312:0.721900:0.376313:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.733021:0.392193:0.748354:0.392193:0.748354:0.378477:0.733021:0.378477:0.000000 2:@0.755667:0.386505:0.764650:0.386505:0.764650:0.370072:0.755667:0.370072:0.000000 7:@0.755667:0.400484:0.764650:0.400484:0.764650:0.384051:0.755667:0.384051:0.000000 5:@0.771973:0.392193:0.787306:0.392193:0.787306:0.378477:0.771973:0.378477:0.000000 2:@0.794617:0.386505:0.803600:0.386505:0.803600:0.370072:0.794617:0.370072:0.000000 7:@0.794617:0.400484:0.803600:0.400484:0.803600:0.384051:0.794617:0.384051:0.000000 Distributiva:@0.093485:0.479436:0.176531:0.479436:0.176531:0.463002:0.093485:0.463002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un número racional multiplicado por una adición o :@0.205916:0.449106:0.599018:0.449106:0.599018:0.432673:0.205916:0.432673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sustracción es igual a la suma o resta de los productos :@0.205916:0.465748:0.599121:0.465748:0.599121:0.449314:0.205916:0.449314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del número por cada elemento.:@0.205916:0.482390:0.435655:0.482390:0.435655:0.465956:0.205916:0.465956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.205916:0.509752:0.222188:0.509752:0.222188:0.493318:0.205916:0.493318:0.000000:0.000000:0.000000 m, n s :@0.222096:0.509752:0.277410:0.509752:0.277410:0.493346:0.222096:0.493346:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y :@0.255837:0.509752:0.267893:0.509752:0.267893:0.493318:0.255837:0.493318:0.000000:0.000000 [:@0.277355:0.509613:0.292688:0.509613:0.292688:0.495565:0.277355:0.495565:0.000000 , entonces ( ) ( ) ( :@0.303324:0.509761:0.557294:0.509761:0.557294:0.493327:0.303324:0.493327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m n:@0.381735:0.509761:0.410580:0.509761:0.410580:0.493355:0.381735:0.493355:0.000000:0.000000:0.000000 1 5:@0.412733:0.509206:0.458848:0.509206:0.458848:0.495490:0.412733:0.495490:0.000000:0.000000:0.000000 s:@0.430195:0.509761:0.436564:0.509761:0.436564:0.493355:0.430195:0.493355:0.000000 m:@0.465775:0.509761:0.480390:0.509761:0.480390:0.493355:0.465775:0.493355:0.000000 3:@0.482544:0.509206:0.497877:0.509206:0.497877:0.495490:0.482544:0.495490:0.000000 n:@0.500005:0.509761:0.509504:0.509761:0.509504:0.493355:0.500005:0.493355:0.000000 1:@0.516455:0.509206:0.531788:0.509206:0.531788:0.495490:0.516455:0.495490:0.000000 m s:@0.538714:0.509761:0.577093:0.509761:0.577093:0.493355:0.538714:0.493355:0.000000:0.000000:0.000000 1:@0.555483:0.509206:0.570816:0.509206:0.570816:0.495490:0.555483:0.495490:0.000000 ):@0.577020:0.509761:0.581898:0.509761:0.581898:0.493327:0.577020:0.493327:0.000000 2:@0.616816:0.466936:0.632149:0.466936:0.632149:0.453220:0.616816:0.453220:0.000000 2 4:@0.637064:0.461247:0.671999:0.461247:0.671999:0.444814:0.637064:0.444814:0.000000:0.000000:0.000000 3 5:@0.637064:0.475226:0.671999:0.475226:0.671999:0.458793:0.637064:0.458793:0.000000:0.000000:0.000000 :@0.650962:0.467488:0.654993:0.467488:0.654993:0.451054:0.650962:0.451054:0.000000 :@0.676918:0.467489:0.698042:0.467489:0.698042:0.451055:0.676918:0.451055:0.000000:0.000000:0.000000 1:@0.678954:0.466935:0.694287:0.466935:0.694287:0.453219:0.678954:0.453219:0.000000 1:@0.701230:0.461247:0.710213:0.461247:0.710213:0.444814:0.701230:0.444814:0.000000 2:@0.701230:0.475226:0.710213:0.475226:0.710213:0.458793:0.701230:0.458793:0.000000 :@0.718232:0.468072:0.722834:0.468072:0.722834:0.450418:0.718232:0.450418:0.000000 5 2:@0.720257:0.466935:0.755773:0.466935:0.755773:0.453219:0.720257:0.453219:0.000000:0.000000:0.000000 2:@0.760679:0.461247:0.769662:0.461247:0.769662:0.444814:0.760679:0.444814:0.000000 3:@0.760679:0.475226:0.769662:0.475226:0.769662:0.458793:0.760679:0.458793:0.000000 :@0.774581:0.467489:0.795706:0.467489:0.795706:0.451055:0.774581:0.451055:0.000000:0.000000:0.000000 3:@0.776618:0.466935:0.791951:0.466935:0.791951:0.453219:0.776618:0.453219:0.000000 4:@0.798894:0.461247:0.807877:0.461247:0.807877:0.444814:0.798894:0.444814:0.000000 5:@0.798894:0.475226:0.807877:0.475226:0.807877:0.458793:0.798894:0.458793:0.000000 :@0.815896:0.467489:0.837021:0.467489:0.837021:0.451055:0.815896:0.451055:0.000000:0.000000:0.000000 1 2:@0.817932:0.466935:0.853458:0.466935:0.853458:0.453219:0.817932:0.453219:0.000000:0.000000:0.000000 2:@0.858366:0.461247:0.867349:0.461247:0.867349:0.444814:0.858366:0.444814:0.000000 3:@0.858366:0.475226:0.867349:0.475226:0.867349:0.458793:0.858366:0.458793:0.000000 :@0.872267:0.467489:0.893392:0.467489:0.893392:0.451055:0.872267:0.451055:0.000000:0.000000:0.000000 3:@0.874304:0.466935:0.889637:0.466935:0.889637:0.453219:0.874304:0.453219:0.000000 1:@0.896580:0.461247:0.905562:0.461247:0.905562:0.444814:0.896580:0.444814:0.000000 2:@0.896580:0.475226:0.905562:0.475226:0.905562:0.458793:0.896580:0.458793:0.000000 5 2:@0.686648:0.498859:0.719432:0.498859:0.719432:0.485144:0.686648:0.485144:0.000000:0.000000:0.000000 8:@0.727994:0.494197:0.736977:0.494197:0.736977:0.477763:0.727994:0.477763:0.000000 15:@0.723540:0.508176:0.741432:0.508176:0.741432:0.491742:0.723540:0.491742:0.000000:0.000000 :@0.745550:0.499414:0.788531:0.499414:0.788531:0.482980:0.745550:0.482980:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.747770:0.498859:0.763104:0.498859:0.763104:0.485144:0.747770:0.485144:0.000000 1:@0.770415:0.493172:0.779397:0.493172:0.779397:0.476738:0.770415:0.476738:0.000000 3:@0.770415:0.507151:0.779397:0.507151:0.779397:0.490717:0.770415:0.490717:0.000000 52:@0.786720:0.498859:0.817295:0.498859:0.817295:0.485144:0.786720:0.485144:0.000000:0.000000 :@0.817203:0.499414:0.821234:0.499414:0.821234:0.482980:0.817203:0.482980:0.000000 13:@0.822785:0.493172:0.840677:0.493172:0.840677:0.476738:0.822785:0.476738:0.000000:0.000000 15:@0.822785:0.507151:0.840677:0.507151:0.840677:0.490717:0.822785:0.490717:0.000000:0.000000 Clausurativa:@0.090821:0.556466:0.179175:0.556466:0.179175:0.540033:0.090821:0.540033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Al multiplicar dos números racionales se obtiene :@0.205903:0.534458:0.562278:0.534458:0.562278:0.518024:0.205903:0.518024:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 como resultado otro número racional.:@0.205903:0.551099:0.480767:0.551099:0.480767:0.534666:0.205903:0.534666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.205903:0.578461:0.222175:0.578461:0.222175:0.562028:0.205903:0.562028:0.000000:0.000000:0.000000 m, n, :@0.222083:0.578461:0.259118:0.578461:0.259118:0.562055:0.222083:0.562055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.259081:0.578323:0.274415:0.578323:0.274415:0.564274:0.259081:0.564274:0.000000 , entonces :@0.285071:0.578461:0.399524:0.578461:0.399524:0.562028:0.285071:0.562028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m:@0.363482:0.578461:0.378098:0.578461:0.378098:0.562055:0.363482:0.562055:0.000000 3:@0.380251:0.577907:0.395584:0.577907:0.395584:0.564191:0.380251:0.564191:0.000000 n:@0.397713:0.578461:0.407211:0.578461:0.407211:0.562055:0.397713:0.562055:0.000000 [:@0.407137:0.578323:0.422471:0.578323:0.422471:0.564274:0.407137:0.564274:0.000000 2:@0.695512:0.559918:0.710845:0.559918:0.710845:0.546203:0.695512:0.546203:0.000000 :@0.710753:0.560473:0.792686:0.560473:0.792686:0.544039:0.710753:0.544039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.718156:0.554231:0.727139:0.554231:0.727139:0.537797:0.718156:0.537797:0.000000 4:@0.718156:0.568210:0.727139:0.568210:0.727139:0.551776:0.718156:0.551776:0.000000 3:@0.734462:0.559918:0.749795:0.559918:0.749795:0.546203:0.734462:0.546203:0.000000 2:@0.757108:0.554231:0.766091:0.554231:0.766091:0.537797:0.757108:0.537797:0.000000 5:@0.757108:0.568210:0.766091:0.568210:0.766091:0.551776:0.757108:0.551776:0.000000 52:@0.773413:0.559918:0.806208:0.559918:0.806208:0.546203:0.773413:0.546203:0.000000:0.000000 3:@0.816152:0.554231:0.825134:0.554231:0.825134:0.537797:0.816152:0.537797:0.000000 10:@0.811697:0.568210:0.829589:0.568210:0.829589:0.551776:0.811697:0.551776:0.000000:0.000000 :@0.835166:0.560472:0.839198:0.560472:0.839198:0.544038:0.835166:0.544038:0.000000 Inverso :@0.108669:0.654110:0.165286:0.654110:0.165286:0.637676:0.108669:0.637676:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplicativo:@0.085328:0.670752:0.184647:0.670752:0.184647:0.654318:0.085328:0.654318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El inverso multiplicativo de un número racional x no :@0.205896:0.605543:0.598615:0.605543:0.598615:0.589110:0.205896:0.589110:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 nulo es el número denotado como 1⁄x o :@0.205896:0.622185:0.532492:0.622185:0.532492:0.605751:0.205896:0.605751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x:@0.535275:0.622185:0.542730:0.622185:0.542730:0.605779:0.535275:0.605779:0.000000 −1:@0.543045:0.616126:0.554893:0.616126:0.554893:0.606545:0.543045:0.606545:0.000000:0.000000 , que :@0.555112:0.622190:0.598801:0.622190:0.598801:0.605756:0.555112:0.605756:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplicado por da 1 como resultado. :@0.205908:0.638832:0.497556:0.638832:0.497556:0.622398:0.205908:0.622398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 x :@0.330562:0.638832:0.341256:0.638832:0.341256:0.622426:0.330562:0.622426:0.000000:0.000000 Si :@0.205926:0.670757:0.222198:0.670757:0.222198:0.654323:0.205926:0.654323:0.000000:0.000000:0.000000 m:@0.222106:0.670757:0.236721:0.670757:0.236721:0.654351:0.222106:0.654351:0.000000 [:@0.236648:0.670618:0.251981:0.670618:0.251981:0.656570:0.236648:0.656570:0.000000 , :@0.262614:0.670757:0.269774:0.670757:0.269774:0.654323:0.262614:0.654323:0.000000:0.000000 m :@0.269686:0.670757:0.287541:0.670757:0.287541:0.654351:0.269686:0.654351:0.000000:0.000000 Þ :@0.287485:0.670202:0.307328:0.670202:0.307328:0.656486:0.287485:0.656486:0.000000:0.000000 0, entonces :@0.307236:0.670757:0.394700:0.670757:0.394700:0.654323:0.307236:0.654323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.402084:0.664515:0.411067:0.664515:0.411067:0.648081:0.402084:0.648081:0.000000 m:@0.399268:0.678494:0.413883:0.678494:0.413883:0.662088:0.399268:0.662088:0.000000 es su inverso :@0.418522:0.670755:0.518847:0.670755:0.518847:0.654322:0.418522:0.654322:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplicativo.:@0.205899:0.687397:0.308010:0.687397:0.308010:0.670963:0.205899:0.670963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 m :@0.205906:0.719323:0.224939:0.719323:0.224939:0.702889:0.205906:0.702889:0.000000:0.000000 3 :@0.223120:0.718768:0.242963:0.718768:0.242963:0.705053:0.223120:0.705053:0.000000:0.000000 1:@0.248109:0.713081:0.257092:0.713081:0.257092:0.696647:0.248109:0.696647:0.000000 m:@0.245293:0.727060:0.259908:0.727060:0.259908:0.710654:0.245293:0.710654:0.000000 :@0.264548:0.719323:0.286041:0.719323:0.286041:0.702889:0.264548:0.702889:0.000000:0.000000:0.000000 5:@0.266769:0.718768:0.282102:0.718768:0.282102:0.705053:0.266769:0.705053:0.000000 m:@0.288951:0.713081:0.303567:0.713081:0.303567:0.696675:0.288951:0.696675:0.000000 m:@0.288951:0.727060:0.303567:0.727060:0.303567:0.710654:0.288951:0.710654:0.000000 1:@0.308209:0.719323:0.336879:0.719323:0.336879:0.702889:0.308209:0.702889:0.000000:0.000000:0.000000:0.000000 5:@0.310427:0.718768:0.325761:0.718768:0.325761:0.705053:0.310427:0.705053:0.000000 3:@0.702760:0.660208:0.711742:0.660208:0.711742:0.643774:0.702760:0.643774:0.000000 7:@0.702760:0.674187:0.711742:0.674187:0.711742:0.657753:0.702760:0.657753:0.000000 :@0.716846:0.666450:0.777289:0.666450:0.777289:0.650016:0.716846:0.650016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.719065:0.665895:0.734398:0.665895:0.734398:0.652180:0.719065:0.652180:0.000000 7:@0.741711:0.660208:0.750694:0.660208:0.750694:0.643774:0.741711:0.643774:0.000000 3:@0.741711:0.674187:0.750694:0.674187:0.750694:0.657753:0.741711:0.657753:0.000000 5:@0.758017:0.665895:0.773350:0.665895:0.773350:0.652180:0.758017:0.652180:0.000000 21:@0.781062:0.660208:0.798954:0.660208:0.798954:0.643774:0.781062:0.643774:0.000000:0.000000 21:@0.781062:0.674187:0.798954:0.674187:0.798954:0.657753:0.781062:0.657753:0.000000:0.000000 1 :@0.804451:0.666450:0.837136:0.666450:0.837136:0.650016:0.804451:0.650016:0.000000:0.000000:0.000000:0.000000 5 :@0.806672:0.665895:0.826515:0.665895:0.826515:0.652180:0.806672:0.652180:0.000000:0.000000 También se cumplen las propiedades con los números racionales de expresión decimal.:@0.073088:0.758646:0.706835:0.758646:0.706835:0.742212:0.073088:0.742212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 1:@0.073088:0.781001:0.148870:0.781001:0.148870:0.764332:0.073088:0.764332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Identificamos las propiedades utilizadas en cada ejercicio::@0.073088:0.803357:0.489530:0.803357:0.489530:0.786923:0.073088:0.786923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a. 1,1 2,5 2,5 1,1:@0.073089:0.825724:0.246143:0.825724:0.246143:0.809290:0.073089:0.809290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.126437:0.825169:0.141770:0.825169:0.141770:0.811453:0.126437:0.811453:0.000000 5:@0.167045:0.825169:0.182378:0.825169:0.182378:0.811453:0.167045:0.811453:0.000000 3:@0.207653:0.825169:0.222986:0.825169:0.222986:0.811453:0.207653:0.811453:0.000000 Conmutativa:@0.103210:0.848084:0.197613:0.848084:0.197613:0.831650:0.103210:0.831650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b. 0,9 (0,8 1,3) 0,9 × 0,8 0,9 1,3:@0.073089:0.870444:0.373211:0.870444:0.373211:0.854010:0.073089:0.854010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.126437:0.869889:0.141770:0.869889:0.141770:0.856173:0.126437:0.856173:0.000000 1:@0.171843:0.869889:0.187176:0.869889:0.187176:0.856173:0.171843:0.856173:0.000000 5:@0.217248:0.869889:0.232582:0.869889:0.232582:0.856173:0.217248:0.856173:0.000000 1:@0.294114:0.869889:0.309447:0.869889:0.309447:0.856173:0.294114:0.856173:0.000000 3:@0.334722:0.869889:0.350055:0.869889:0.350055:0.856173:0.334722:0.856173:0.000000 Distributiva:@0.103210:0.892804:0.186256:0.892804:0.186256:0.876370:0.103210:0.876370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c. (0,2 1,5) (1,2 1) (0, 2 1, 2) (1,5 1):@0.073089:0.915164:0.427340:0.915164:0.427340:0.898730:0.073089:0.898730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3:@0.131234:0.914609:0.146568:0.914609:0.146568:0.900893:0.131234:0.900893:0.000000 3:@0.176640:0.914609:0.191973:0.914609:0.191973:0.900893:0.176640:0.900893:0.000000 3 5:@0.222046:0.914609:0.270760:0.914609:0.270760:0.900893:0.222046:0.900893:0.000000:0.000000:0.000000 3:@0.303053:0.914609:0.318386:0.914609:0.318386:0.900893:0.303053:0.900893:0.000000 3:@0.350679:0.914609:0.366012:0.914609:0.366012:0.900893:0.350679:0.900893:0.000000 3:@0.396085:0.914609:0.411418:0.914609:0.411418:0.900893:0.396085:0.900893:0.000000 Asociativa:@0.103210:0.937524:0.176445:0.937524:0.176445:0.921090:0.103210:0.921090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los ritmos y grados de :@0.740548:0.813694:0.892704:0.813694:0.892704:0.798754:0.740548:0.798754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 atención suelen variar :@0.740548:0.827562:0.888830:0.827562:0.888830:0.812622:0.740548:0.812622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de persona a persona. :@0.740548:0.841430:0.889597:0.841430:0.889597:0.826490:0.740548:0.826490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuando hay dificultades :@0.740548:0.855298:0.903370:0.855298:0.903370:0.840358:0.740548:0.840358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de atención, es importante :@0.740548:0.869166:0.922224:0.869166:0.922224:0.854227:0.740548:0.854227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 respetar los tiempos :@0.740548:0.883035:0.877993:0.883035:0.877993:0.868095:0.740548:0.868095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 propios para terminar :@0.740548:0.896903:0.890684:0.896903:0.890684:0.881963:0.740548:0.881963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 un trabajo.:@0.740548:0.910771:0.811024:0.910771:0.811024:0.895831:0.740548:0.895831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cátedra :@0.740294:0.761896:0.799873:0.761896:0.799873:0.746490:0.740294:0.746490:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de salud y :@0.740294:0.777025:0.815830:0.777025:0.815830:0.761619:0.740294:0.761619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 bienestar:@0.740294:0.792154:0.807982:0.792154:0.807982:0.776748:0.740294:0.776748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 3 (Ev. 2) Usa las propiedades distributiva, asociativa, modulativa, del inverso y conmutativa de la suma y la multiplicación entre los :@0.079867:0.965315:0.788303:0.965315:0.788303:0.953363:0.079867:0.953363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racionales para proponer diferentes caminos al realizar un calculo.:@0.079867:0.977418:0.425826:0.977418:0.425826:0.965466:0.079867:0.965466:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000