﻿37:@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
c)  :@0.096354:0.109682:0.117804:0.109682:0.117804:0.092781:0.096354:0.092781:0.000000:0.000000:0.000000:0.000000
Efectúa el siguiente producto. :@0.120089:0.109682:0.342914:0.109682:0.342914:0.093293:0.120089:0.093293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.399352:0.111877:0.409469:0.111877:0.414033:0.096304:0.403917:0.096304:0.000000
(:@0.422970:0.117545:0.429107:0.117545:0.429107:0.089358:0.422970:0.089358:0.000000
):@0.465114:0.117545:0.471251:0.117545:0.471251:0.089358:0.465114:0.089358:0.000000
( )( ):@0.513690:0.117545:0.586571:0.117545:0.586571:0.089358:0.513690:0.089358:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.385329:0.113749:0.420047:0.113749:0.420047:0.093348:0.385329:0.093348:0.000000:0.000000:0.000000
(:@0.474169:0.113749:0.480305:0.113749:0.480305:0.093348:0.474169:0.093348:0.000000
):@0.504630:0.113749:0.510766:0.113749:0.510766:0.093348:0.504630:0.093348:0.000000
−:@0.358422:0.111877:0.368538:0.111877:0.368538:0.096304:0.358422:0.096304:0.000000
−:@0.430197:0.111877:0.440314:0.111877:0.440314:0.096304:0.430197:0.096304:0.000000
42:@0.368373:0.111199:0.401192:0.111199:0.401192:0.094811:0.368373:0.094811:0.000000:0.000000
50,2:@0.454540:0.111199:0.504111:0.111199:0.504111:0.094811:0.454540:0.094811:0.000000:0.000000:0.000000:0.000000
2:@0.533065:0.111199:0.542058:0.111199:0.542058:0.094811:0.533065:0.094811:0.000000
5:@0.569865:0.111199:0.578858:0.111199:0.578858:0.094811:0.569865:0.094811:0.000000
3:@0.347637:0.104363:0.352848:0.104363:0.352848:0.094865:0.347637:0.094865:0.000000
3:@0.522644:0.104363:0.527856:0.104363:0.527856:0.094865:0.522644:0.094865:0.000000
Solución:@0.096359:0.140527:0.160137:0.140527:0.160137:0.123889:0.096359:0.123889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos radicales semejantes entre sí.:@0.096359:0.164246:0.416442:0.164246:0.416442:0.147857:0.096359:0.147857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.152785:0.195989:0.162902:0.195989:0.167467:0.180416:0.157350:0.180416:0.000000
(:@0.176404:0.201657:0.182540:0.201657:0.182540:0.173470:0.176404:0.173470:0.000000
):@0.218548:0.201657:0.224684:0.201657:0.224684:0.173470:0.218548:0.173470:0.000000
( )( ):@0.267123:0.201657:0.340004:0.201657:0.340004:0.173470:0.267123:0.173470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ):@0.138764:0.197861:0.173482:0.197861:0.173482:0.177460:0.138764:0.177460:0.000000:0.000000:0.000000
(:@0.227604:0.197861:0.233740:0.197861:0.233740:0.177460:0.227604:0.177460:0.000000
):@0.258065:0.197861:0.264201:0.197861:0.264201:0.177460:0.258065:0.177460:0.000000
−:@0.111855:0.195989:0.121972:0.195989:0.121972:0.180416:0.111855:0.180416:0.000000
−:@0.183631:0.195989:0.193748:0.195989:0.193748:0.180416:0.183631:0.180416:0.000000
42:@0.121806:0.195312:0.154626:0.195312:0.154626:0.178923:0.121806:0.178923:0.000000:0.000000
50,2:@0.207974:0.195312:0.257544:0.195312:0.257544:0.178923:0.207974:0.178923:0.000000:0.000000:0.000000:0.000000
2:@0.286499:0.195312:0.295491:0.195312:0.295491:0.178923:0.286499:0.178923:0.000000
5:@0.323299:0.195312:0.332291:0.195312:0.332291:0.178923:0.323299:0.178923:0.000000
3:@0.101071:0.188475:0.106282:0.188475:0.106282:0.178977:0.101071:0.178977:0.000000
3:@0.276078:0.188475:0.281290:0.188475:0.281290:0.178977:0.276078:0.178977:0.000000
   :@0.342619:0.221966:0.354726:0.221966:0.354726:0.205578:0.342619:0.205578:0.000000:0.000000:0.000000
4:@0.393766:0.195669:0.402816:0.195669:0.402816:0.179176:0.393766:0.179176:0.000000
2:@0.427703:0.195669:0.436753:0.195669:0.436753:0.179176:0.427703:0.179176:0.000000
5:@0.478535:0.195669:0.487585:0.195669:0.487585:0.179176:0.478535:0.179176:0.000000
5 2:@0.517795:0.195669:0.553494:0.195669:0.553494:0.179176:0.517795:0.179176:0.000000:0.000000:0.000000
0,2:@0.583110:0.195669:0.606333:0.195669:0.606333:0.179176:0.583110:0.179176:0.000000:0.000000:0.000000
8:@0.402875:0.224648:0.411925:0.224648:0.411925:0.208154:0.402875:0.208154:0.000000
250,4:@0.454078:0.224648:0.513571:0.224648:0.513571:0.208154:0.454078:0.208154:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.385776:0.250703:0.394826:0.250703:0.394826:0.234210:0.385776:0.234210:0.000000
5 0,4:@0.414911:0.250703:0.464055:0.250703:0.464055:0.234210:0.414911:0.234210:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.374557:0.272889:0.383607:0.272889:0.383607:0.256396:0.374557:0.256396:0.000000
3:@0.373271:0.188790:0.378516:0.188790:0.378516:0.179231:0.373271:0.179231:0.000000
3:@0.417208:0.188790:0.422452:0.188790:0.422452:0.179231:0.417208:0.179231:0.000000
3:@0.382385:0.217772:0.387630:0.217772:0.387630:0.208214:0.382385:0.208214:0.000000
π:@0.552444:0.196351:0.562626:0.196351:0.567220:0.180679:0.557038:0.180679:0.000000
π:@0.513239:0.225330:0.523421:0.225330:0.528015:0.209657:0.517833:0.209657:0.000000
π:@0.464877:0.251385:0.475058:0.251385:0.479652:0.235713:0.469471:0.235713:0.000000
π:@0.384434:0.273571:0.394616:0.273571:0.399209:0.257899:0.389028:0.257899:0.000000
( )(:@0.408622:0.202559:0.454465:0.202559:0.454465:0.174976:0.408622:0.174976:0.000000:0.000000:0.000000:0.000000
)( ):@0.488811:0.202559:0.534228:0.202559:0.534228:0.174976:0.488811:0.174976:0.000000:0.000000:0.000000:0.000000
(:@0.373794:0.231539:0.379970:0.231539:0.379970:0.203956:0.373794:0.203956:0.000000
)(:@0.413944:0.231539:0.430023:0.231539:0.430023:0.203956:0.413944:0.203956:0.000000:0.000000
):@0.473215:0.231539:0.479390:0.231539:0.479390:0.203956:0.473215:0.203956:0.000000
( ) ( ):@0.537964:0.198822:0.612685:0.198822:0.612685:0.178761:0.537964:0.178761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.483118:0.227805:0.489294:0.227805:0.489294:0.207745:0.483118:0.207745:0.000000
):@0.527534:0.227805:0.533709:0.227805:0.533709:0.207745:0.527534:0.207745:0.000000
( ) (:@0.398404:0.253869:0.439778:0.253869:0.439778:0.233809:0.398404:0.233809:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.479168:0.253869:0.485344:0.253869:0.485344:0.233809:0.479168:0.233809:0.000000
=−:@0.357360:0.196351:0.393930:0.196351:0.393930:0.180679:0.357360:0.180679:0.000000:0.000000
−:@0.454777:0.196351:0.464958:0.196351:0.464958:0.180679:0.454777:0.180679:0.000000
=:@0.357360:0.225330:0.367541:0.225330:0.367541:0.209657:0.357360:0.209657:0.000000
−:@0.392873:0.225330:0.403055:0.225330:0.403055:0.209657:0.392873:0.209657:0.000000
−:@0.430334:0.225330:0.440516:0.225330:0.440516:0.209657:0.430334:0.209657:0.000000
=−:@0.357360:0.251385:0.383972:0.251385:0.383972:0.235713:0.357360:0.235713:0.000000:0.000000
−:@0.404891:0.251385:0.415072:0.251385:0.415072:0.235713:0.404891:0.235713:0.000000
=:@0.357360:0.273571:0.367541:0.273571:0.367541:0.257899:0.357360:0.257899:0.000000
d)  :@0.096359:0.305318:0.120241:0.305318:0.120241:0.288417:0.096359:0.288417:0.000000:0.000000:0.000000:0.000000
Realiza la siguiente división. :@0.120094:0.305318:0.326150:0.305318:0.326150:0.288929:0.120094:0.288929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
512:@0.338222:0.302787:0.364795:0.302787:0.364795:0.287117:0.338222:0.287117:0.000000:0.000000:0.000000
÷:@0.372566:0.303377:0.382683:0.303377:0.382683:0.285356:0.372566:0.285356:0.000000
8:@0.401516:0.302782:0.410508:0.302782:0.410508:0.287112:0.401516:0.287112:0.000000
Solución:@0.096359:0.336170:0.160137:0.336170:0.160137:0.319532:0.096359:0.319532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la propiedad de la división de los radicales.:@0.096359:0.359889:0.488787:0.359889:0.488787:0.343500:0.096359:0.343500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
512:@0.108429:0.393261:0.135002:0.393261:0.135002:0.377591:0.108429:0.377591:0.000000:0.000000:0.000000
÷:@0.142768:0.393856:0.152885:0.393856:0.152885:0.375835:0.142768:0.375835:0.000000
8:@0.171718:0.393261:0.180711:0.393261:0.180711:0.377591:0.171718:0.377591:0.000000
=:@0.191772:0.394624:0.201889:0.394624:0.201889:0.379051:0.191772:0.379051:0.000000
÷:@0.254850:0.394624:0.264967:0.394624:0.264967:0.379051:0.254850:0.379051:0.000000
=:@0.191772:0.419456:0.201889:0.419456:0.201889:0.403883:0.191772:0.403883:0.000000
=:@0.191772:0.440201:0.201889:0.440201:0.201889:0.424628:0.191772:0.424628:0.000000
512:@0.221349:0.393953:0.247921:0.393953:0.247921:0.377564:0.221349:0.377564:0.000000:0.000000:0.000000
8:@0.271914:0.393953:0.280907:0.393953:0.280907:0.377564:0.271914:0.377564:0.000000
64:@0.221717:0.418778:0.239500:0.418778:0.239500:0.402389:0.221717:0.402389:0.000000:0.000000
8:@0.208836:0.439524:0.217829:0.439524:0.217829:0.423135:0.208836:0.423135:0.000000
Propiedades de la multiplicación de números reales:@0.096359:0.470286:0.616782:0.470286:0.616782:0.448776:0.096359:0.448776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números reales conservan las mismas propiedades de los números racionales.:@0.096359:0.493067:0.694939:0.493067:0.694939:0.476678:0.096359:0.476678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.147249:0.530126:0.222384:0.530126:0.222384:0.514762:0.147249:0.514762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.417248:0.530126:0.567683:0.530126:0.567683:0.514762:0.417248:0.514762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa:@0.103894:0.575389:0.189665:0.575389:0.189665:0.560276:0.103894:0.560276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.359179:0.565320:0.372484:0.565320:0.372484:0.548572:0.359179:0.548572:0.000000
:@0.425869:0.586066:0.439173:0.586066:0.439173:0.569317:0.425869:0.569317:0.000000
∈:@0.342465:0.565127:0.355604:0.565127:0.355604:0.549554:0.342465:0.549554:0.000000
×:@0.304928:0.585872:0.281691:0.585872:0.281691:0.570299:0.304928:0.570299:0.000000
=:@0.338282:0.585872:0.315045:0.585872:0.315045:0.570299:0.338282:0.570299:0.000000
∈:@0.409155:0.585872:0.422294:0.585872:0.422294:0.570299:0.409155:0.570299:0.000000
ab:@0.306863:0.564449:0.335813:0.564449:0.335813:0.549056:0.306863:0.549056:0.000000:0.000000
a:@0.288638:0.585194:0.297907:0.585194:0.297907:0.569801:0.288638:0.569801:0.000000
b:@0.321992:0.585194:0.331261:0.585194:0.331261:0.569801:0.321992:0.569801:0.000000
c:@0.355696:0.585194:0.363362:0.585194:0.363362:0.569801:0.355696:0.569801:0.000000
c:@0.394376:0.585194:0.402042:0.585194:0.402042:0.569801:0.394376:0.569801:0.000000
Si ,:@0.288269:0.564449:0.319946:0.564449:0.319946:0.548779:0.288269:0.548779:0.000000:0.000000:0.000000:0.000000
;:@0.367011:0.584600:0.370217:0.584600:0.370217:0.568930:0.367011:0.568930:0.000000
Conmutativa:@0.103901:0.636769:0.194212:0.636769:0.194212:0.621656:0.103901:0.621656:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.359398:0.627328:0.372703:0.627328:0.372703:0.610579:0.359398:0.610579:0.000000
∈:@0.342703:0.627134:0.355842:0.627134:0.355842:0.611561:0.342703:0.611561:0.000000
×:@0.304687:0.647880:0.281449:0.647880:0.281449:0.632307:0.304687:0.632307:0.000000
=:@0.338041:0.647880:0.314804:0.647880:0.314804:0.632307:0.338041:0.632307:0.000000
×:@0.371395:0.647880:0.348158:0.647880:0.348158:0.632307:0.371395:0.632307:0.000000
ab:@0.306622:0.626457:0.335571:0.626457:0.335571:0.611063:0.306622:0.611063:0.000000:0.000000
a:@0.288397:0.647202:0.297666:0.647202:0.297666:0.631809:0.288397:0.631809:0.000000
b:@0.321751:0.647202:0.331020:0.647202:0.331020:0.631809:0.321751:0.631809:0.000000
b:@0.356210:0.647202:0.365480:0.647202:0.365480:0.631809:0.356210:0.631809:0.000000
a:@0.389564:0.647202:0.398834:0.647202:0.398834:0.631809:0.389564:0.631809:0.000000
Si ,:@0.288028:0.626457:0.319705:0.626457:0.319705:0.610787:0.288028:0.610787:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.103901:0.698153:0.174848:0.698153:0.174848:0.683040:0.103901:0.683040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.380490:0.688611:0.393794:0.688611:0.393794:0.671863:0.380490:0.671863:0.000000
(:@0.290288:0.713411:0.245582:0.713411:0.245582:0.691609:0.290288:0.691609:0.000000
):@0.341130:0.713411:0.296424:0.713411:0.296424:0.691609:0.341130:0.691609:0.000000
(:@0.431279:0.713411:0.387734:0.713411:0.387734:0.691609:0.431279:0.691609:0.000000
):@0.480960:0.713411:0.437416:0.713411:0.437416:0.691609:0.480960:0.691609:0.000000
∈:@0.363789:0.688418:0.376928:0.688418:0.376928:0.672845:0.363789:0.672845:0.000000
×:@0.313795:0.710892:0.284127:0.710892:0.284127:0.695319:0.313795:0.695319:0.000000
×:@0.353580:0.710892:0.323912:0.710892:0.323912:0.695319:0.353580:0.695319:0.000000
=:@0.383525:0.710892:0.362536:0.710892:0.362536:0.695319:0.383525:0.695319:0.000000
×:@0.414631:0.710892:0.393642:0.710892:0.393642:0.695319:0.414631:0.695319:0.000000
×:@0.454416:0.710892:0.464533:0.710892:0.464533:0.695319:0.454416:0.695319:0.000000
ab c:@0.309299:0.687740:0.356695:0.687740:0.356695:0.672347:0.309299:0.672347:0.000000:0.000000:0.000000:0.000000
a:@0.297523:0.710214:0.306793:0.710214:0.306793:0.694821:0.297523:0.694821:0.000000
b:@0.330877:0.710214:0.340147:0.710214:0.340147:0.694821:0.330877:0.694821:0.000000
c:@0.371031:0.710214:0.378697:0.710214:0.378697:0.694821:0.371031:0.694821:0.000000
a:@0.400976:0.710214:0.410245:0.710214:0.410245:0.694821:0.400976:0.694821:0.000000
b:@0.438145:0.710214:0.447414:0.710214:0.447414:0.694821:0.438145:0.694821:0.000000
c =  a   b   c:@0.471867:0.710214:0.583944:0.710463:0.583944:0.695070:0.471867:0.694821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×   ×  :@0.525860:0.711141:0.576739:0.711141:0.576739:0.695568:0.525860:0.695568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si ,,:@0.290724:0.687740:0.342081:0.687740:0.342081:0.672070:0.290724:0.672070:0.000000:0.000000:0.000000:0.000000:0.000000
Elemento neutro:@0.103901:0.759537:0.221250:0.759537:0.221250:0.744424:0.103901:0.744424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.350422:0.752144:0.363727:0.752144:0.363727:0.735395:0.350422:0.735395:0.000000
∈:@0.333727:0.751950:0.346866:0.751950:0.346866:0.736377:0.333727:0.736377:0.000000
×:@0.304151:0.772696:0.285520:0.772696:0.285520:0.757123:0.304151:0.757123:0.000000
=:@0.332898:0.772696:0.314267:0.772696:0.314267:0.757123:0.332898:0.757123:0.000000
a, :@0.306086:0.751273:0.322007:0.751273:0.322007:0.735879:0.306086:0.735879:0.000000:0.000000:0.000000
1:@0.322007:0.751273:0.331000:0.751273:0.331000:0.735603:0.322007:0.735603:0.000000
a:@0.287861:0.772018:0.297130:0.772018:0.297130:0.756625:0.287861:0.756625:0.000000
1:@0.347990:0.772018:0.356983:0.772018:0.356983:0.756348:0.347990:0.756348:0.000000
   a = a:@0.356983:0.772018:0.409888:0.772018:0.409888:0.756625:0.356983:0.756625:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.360300:0.772696:0.370416:0.772696:0.370416:0.757123:0.360300:0.757123:0.000000
Si:@0.287492:0.751273:0.299765:0.751273:0.299765:0.735603:0.287492:0.735603:0.000000:0.000000
1:@0.320054:0.772018:0.329046:0.772018:0.329046:0.756348:0.320054:0.756348:0.000000
Inverso multiplicativo:@0.103901:0.820919:0.254386:0.820919:0.254386:0.805807:0.103901:0.805807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.323808:0.806305:0.248723:0.806305:0.248723:0.793739:0.323808:0.793739:0.000000
:@0.408875:0.806305:0.333790:0.806305:0.333790:0.793739:0.408875:0.793739:0.000000
{}:@0.349731:0.807564:0.369210:0.807564:0.369210:0.792258:0.349731:0.792258:0.000000:0.000000
∈:@0.311279:0.806160:0.321136:0.806160:0.321136:0.794476:0.311279:0.794476:0.000000
−:@0.339206:0.806160:0.346796:0.806160:0.346796:0.794476:0.339206:0.794476:0.000000
∈:@0.396346:0.806160:0.406203:0.806160:0.406203:0.794476:0.396346:0.794476:0.000000
×:@0.301809:0.833718:0.309399:0.833718:0.309399:0.822035:0.301809:0.822035:0.000000
=:@0.329307:0.833718:0.336897:0.833718:0.336897:0.822035:0.329307:0.822035:0.000000
a:@0.299334:0.805651:0.306288:0.805651:0.306288:0.793376:0.299334:0.793376:0.000000
a:@0.383308:0.813527:0.390263:0.813527:0.390263:0.801252:0.383308:0.801252:0.000000
a:@0.289601:0.833220:0.296555:0.833220:0.296555:0.820946:0.289601:0.820946:0.000000
a:@0.315993:0.841096:0.322947:0.841096:0.322947:0.828821:0.315993:0.828821:0.000000
Si:@0.285398:0.805661:0.294605:0.805661:0.294605:0.793366:0.285398:0.793366:0.000000:0.000000
0:@0.356017:0.805661:0.362764:0.805661:0.362764:0.793366:0.356017:0.793366:0.000000
1:@0.384027:0.798938:0.390774:0.798938:0.390774:0.786642:0.384027:0.786642:0.000000
1:@0.316712:0.826497:0.323459:0.826497:0.323459:0.814201:0.316712:0.814201:0.000000
1:@0.341266:0.833220:0.348012:0.833220:0.348012:0.820925:0.341266:0.820925:0.000000
Distributiva:@0.103901:0.882303:0.184914:0.882303:0.184914:0.867191:0.103901:0.867191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.374598:0.871648:0.387903:0.871648:0.387903:0.854899:0.374598:0.854899:0.000000
(:@0.284396:0.896448:0.290533:0.896448:0.290533:0.874645:0.284396:0.874645:0.000000
):@0.335238:0.896448:0.341374:0.896448:0.341374:0.874645:0.335238:0.874645:0.000000
∈:@0.357897:0.871454:0.371036:0.871454:0.371036:0.855881:0.357897:0.855881:0.000000
+:@0.307903:0.893928:0.318020:0.893928:0.318020:0.878356:0.307903:0.878356:0.000000
×:@0.347688:0.893928:0.357805:0.893928:0.357805:0.878356:0.347688:0.878356:0.000000
=:@0.380250:0.893928:0.390367:0.893928:0.390367:0.878356:0.380250:0.878356:0.000000
+:@0.422026:0.893928:0.432142:0.893928:0.432142:0.878356:0.422026:0.878356:0.000000
ab c:@0.303407:0.870776:0.350803:0.870776:0.350803:0.854415:0.303407:0.854415:0.000000:0.000000:0.000000:0.000000
a:@0.291632:0.893251:0.300901:0.893251:0.300901:0.876889:0.291632:0.876889:0.000000
b:@0.324986:0.893251:0.334255:0.893251:0.334255:0.876889:0.324986:0.876889:0.000000
c:@0.365139:0.893251:0.372805:0.893251:0.372805:0.876889:0.365139:0.876889:0.000000
ac:@0.397701:0.893251:0.414581:0.893251:0.414581:0.876889:0.397701:0.876889:0.000000:0.000000
bc:@0.439108:0.893251:0.455988:0.893251:0.455988:0.876889:0.439108:0.876889:0.000000:0.000000
Si ,,:@0.284832:0.870776:0.336190:0.870776:0.336190:0.854388:0.284832:0.854388:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.722002:0.381147:0.722002:0.376040:0.709921:0.376040:0.709921:0.381147:0.000000
Freepick:@0.722002:0.376040:0.722002:0.351025:0.710091:0.351025:0.710091:0.376040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  El orden de resolución :@0.754768:0.145481:0.921476:0.145481:0.921476:0.130582:0.754768:0.130582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en operaciones :@0.769008:0.160569:0.875520:0.160569:0.875520:0.145670:0.769008:0.145670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
combinadas es::@0.769008:0.175656:0.872370:0.175656:0.872370:0.160757:0.769008:0.160757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. Potencias y raíces.:@0.769008:0.194302:0.902479:0.194302:0.902479:0.179403:0.769008:0.179403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. Multiplicaciones :@0.769008:0.212948:0.895757:0.212948:0.895757:0.198049:0.769008:0.198049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y divisiones.:@0.783247:0.228035:0.862719:0.228035:0.862719:0.213136:0.783247:0.213136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3. Sumas y restas.:@0.769008:0.246681:0.883097:0.246681:0.883097:0.231782:0.769008:0.231782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•  Todo número real :@0.754768:0.265327:0.891071:0.265327:0.891071:0.250428:0.754768:0.250428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicado por cero :@0.769008:0.280415:0.916628:0.280415:0.916628:0.265516:0.769008:0.265516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a cero.:@0.769008:0.295502:0.866539:0.295502:0.866539:0.280603:0.769008:0.280603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775632:0.113039:0.883173:0.113039:0.883173:0.096138:0.775632:0.096138:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si hay una discapacidad :@0.754768:0.477971:0.917652:0.477971:0.917652:0.463071:0.754768:0.463071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o dificultades visuales, :@0.754768:0.493058:0.905855:0.493058:0.905855:0.478159:0.754768:0.478159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es necesario ayudarnos :@0.754768:0.508146:0.913863:0.508146:0.913863:0.493247:0.754768:0.493247:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
unos a otros, ya sea con :@0.754768:0.523233:0.916478:0.523233:0.916478:0.508334:0.754768:0.508334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una explicación de los :@0.754768:0.538321:0.906428:0.538321:0.906428:0.523422:0.754768:0.523422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesos visuales o con :@0.754768:0.553409:0.907617:0.553409:0.907617:0.538510:0.754768:0.538510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un resumen de lo que :@0.754768:0.568496:0.905640:0.568496:0.905640:0.553597:0.754768:0.553597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucede alrededor.:@0.754768:0.583584:0.872821:0.583584:0.872821:0.568685:0.754768:0.568685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Necesidades:@0.779550:0.438614:0.874504:0.438614:0.874504:0.421714:0.779550:0.421714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas:@0.784645:0.452445:0.866068:0.452445:0.866068:0.435544:0.784645:0.435544:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se requiere de los :@0.754768:0.766509:0.876741:0.766509:0.876741:0.751610:0.754768:0.751610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales para hacer :@0.754768:0.781596:0.934019:0.781596:0.934019:0.766697:0.754768:0.766697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transacciones :@0.754768:0.796684:0.849704:0.796684:0.849704:0.781785:0.754768:0.781785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comerciales, poner :@0.754768:0.811771:0.884531:0.811771:0.884531:0.796872:0.754768:0.796872:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
precios, calcular :@0.754768:0.826859:0.864195:0.826859:0.864195:0.811960:0.754768:0.811960:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
impuestos, planificar :@0.754768:0.841947:0.895604:0.841947:0.895604:0.827048:0.754768:0.827048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
presupuestos e :@0.754768:0.857034:0.860257:0.857034:0.860257:0.842135:0.754768:0.842135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
inversiones, y controlar :@0.754768:0.872122:0.911033:0.872122:0.911033:0.857223:0.754768:0.857223:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gastos.:@0.754768:0.887209:0.800703:0.887209:0.800703:0.872310:0.754768:0.872310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.802245:0.727151:0.883929:0.727151:0.883929:0.710251:0.802245:0.710251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802070:0.740982:0.877119:0.740982:0.877119:0.724081:0.802070:0.724081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.806963:0.740982:0.810586:0.740982:0.810586:0.724081:0.806963:0.724081:0.000000
M.4.3.13.:@0.741554:0.785068:0.741554:0.754915:0.727658:0.754915:0.727658:0.785068:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000