31:@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 4.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 Cuando a cada elemento del primer conjunto le corresponden todos los elementos del segundo :@0.096359:0.099357:0.932136:0.099357:0.932136:0.079988:0.096359:0.079988:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 conjunto, se denomina producto cartesiano.:@0.096359:0.118971:0.480497:0.118971:0.480497:0.099602:0.096359:0.099602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 El producto cartesiano se puede representar por extensión, nombrando todos los pares :@0.096359:0.145711:0.932212:0.145711:0.932212:0.126342:0.096359:0.126342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ordenados; por comprensión, nombrando la característica común de sus elementos; en forma :@0.096359:0.165325:0.932179:0.165325:0.932179:0.145956:0.096359:0.145956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 gráfica, por medio de diagramas sagitales y tabla de doble entrada; y en la cuadrícula.:@0.096359:0.184939:0.834459:0.184939:0.834459:0.165570:0.096359:0.165570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplos::@0.096359:0.218806:0.179508:0.218806:0.179508:0.199143:0.096359:0.199143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.096359:0.245546:0.113978:0.245546:0.113978:0.225572:0.096359:0.225572:0.000000:0.000000 Representamos el producto cartesiano × , en donde = {1, 2, 3} y = {4, 5}.:@0.113978:0.245546:0.799481:0.245546:0.799481:0.226177:0.113978:0.226177:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 A:@0.464969:0.245546:0.476664:0.245546:0.476664:0.226210:0.464969:0.226210:0.000000 B:@0.499182:0.245546:0.509636:0.245546:0.509636:0.226210:0.499182:0.226210:0.000000 A:@0.607485:0.245546:0.619180:0.245546:0.619180:0.226210:0.607485:0.226210:0.000000 B:@0.721363:0.245546:0.731816:0.245546:0.731816:0.226210:0.721363:0.226210:0.000000 Por comprensión: {(:@0.124845:0.272286:0.293603:0.272286:0.293603:0.252917:0.124845:0.252917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a, b:@0.293603:0.272286:0.323374:0.272286:0.323374:0.252950:0.293603:0.252950:0.000000:0.000000:0.000000:0.000000 ) / ; }:@0.323374:0.272286:0.452507:0.272294:0.452507:0.252925:0.323374:0.252917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.346328:0.272286:0.357283:0.272286:0.357283:0.252950:0.346328:0.252950:0.000000 A b:@0.381182:0.272294:0.412390:0.272294:0.412390:0.252958:0.381182:0.252958:0.000000:0.000000:0.000000 B:@0.436282:0.272294:0.446735:0.272294:0.446735:0.252958:0.436282:0.252958:0.000000 Por extensión: {(1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 5)}:@0.124855:0.299034:0.553990:0.299034:0.553990:0.279665:0.124855:0.279665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Diagrama:@0.185324:0.701021:0.277446:0.701021:0.277446:0.681047:0.185324:0.681047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En diagrama:@0.189385:0.360613:0.307401:0.360613:0.307401:0.340639:0.189385:0.340639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Tabla:@0.466244:0.701021:0.516725:0.701021:0.516725:0.681047:0.466244:0.681047:0.000000:0.000000:0.000000:0.000000:0.000000 En tabla:@0.478478:0.360613:0.554767:0.360613:0.554767:0.340639:0.478478:0.340639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cuadrícula:@0.721629:0.701021:0.822353:0.701021:0.822353:0.681047:0.721629:0.681047:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En la cuadrícula:@0.722039:0.360613:0.869433:0.360613:0.869433:0.340639:0.722039:0.340639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.096354:0.579308:0.115519:0.579308:0.115519:0.559334:0.096354:0.559334:0.000000:0.000000 Representamos en un diagrama, en tabla, en cuadrícula y por extensión los pares ordenados :@0.115518:0.579308:0.932078:0.579308:0.932078:0.559939:0.115518:0.559939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del producto cartesiano × , siendo = {7, 2, 5} y = {6, 8}.:@0.124840:0.598922:0.639367:0.598922:0.639367:0.579553:0.124840:0.579553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 F:@0.337087:0.598922:0.346604:0.598922:0.346604:0.579586:0.337087:0.579586:0.000000 T:@0.369123:0.598922:0.378727:0.598922:0.378727:0.579586:0.369123:0.579586:0.000000 F:@0.450399:0.598922:0.459916:0.598922:0.459916:0.579586:0.450399:0.579586:0.000000 T:@0.562099:0.598922:0.571703:0.598922:0.571703:0.579586:0.562099:0.579586:0.000000 :@0.096359:0.628915:0.100762:0.628915:0.100762:0.611036:0.096359:0.611036:0.000000 F:@0.128189:0.629229:0.137706:0.629229:0.137706:0.609893:0.128189:0.609893:0.000000 × = 7:@0.137706:0.629229:0.219342:0.628112:0.219342:0.608744:0.137706:0.609860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 T:@0.160224:0.629229:0.169828:0.629229:0.169828:0.609893:0.160224:0.609893:0.000000 {(:@0.192345:0.628915:0.203000:0.628915:0.203000:0.611036:0.192345:0.611036:0.000000:0.000000 ____ ____:@0.203000:0.627972:0.268570:0.627972:0.268570:0.614562:0.203000:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.231646:0.628915:0.239547:0.628915:0.239547:0.611036:0.231646:0.611036:0.000000:0.000000 ), (:@0.268193:0.628915:0.286748:0.628915:0.286748:0.611036:0.268193:0.611036:0.000000:0.000000:0.000000:0.000000 ____ ____:@0.286748:0.627972:0.352319:0.627972:0.352319:0.614562:0.286748:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.315395:0.628915:0.323295:0.628915:0.323295:0.611036:0.315395:0.611036:0.000000:0.000000 ), (:@0.351942:0.628915:0.370497:0.628915:0.370497:0.611036:0.351942:0.611036:0.000000:0.000000:0.000000:0.000000 ____ ____:@0.370497:0.627972:0.436067:0.627972:0.436067:0.614562:0.370497:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.399143:0.628915:0.407044:0.628915:0.407044:0.611036:0.399143:0.611036:0.000000:0.000000 ), (:@0.435690:0.628915:0.454245:0.628915:0.454245:0.611036:0.435690:0.611036:0.000000:0.000000:0.000000:0.000000 ____ ____:@0.454245:0.627972:0.519816:0.627972:0.519816:0.614562:0.454245:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.482892:0.628915:0.490792:0.628915:0.490792:0.611036:0.482892:0.611036:0.000000:0.000000 ), (:@0.519439:0.628915:0.537994:0.628915:0.537994:0.611036:0.519439:0.611036:0.000000:0.000000:0.000000:0.000000 ____ ____:@0.537992:0.627972:0.603563:0.627972:0.603563:0.614562:0.537992:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.566639:0.628915:0.574539:0.628915:0.574539:0.611036:0.566639:0.611036:0.000000:0.000000 ), (:@0.603186:0.628915:0.621741:0.628915:0.621741:0.611036:0.603186:0.611036:0.000000:0.000000:0.000000:0.000000 ____ ____:@0.621741:0.627972:0.687311:0.627972:0.687311:0.614562:0.621741:0.614562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , :@0.650388:0.628915:0.658288:0.628915:0.658288:0.611036:0.650388:0.611036:0.000000:0.000000 )}:@0.686935:0.628915:0.697790:0.628915:0.697790:0.611036:0.686935:0.611036:0.000000:0.000000 1 2 3 4 5 6 7 8 9:@0.684805:0.910858:0.882783:0.910858:0.882783:0.895606:0.684805:0.895606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 8:@0.651324:0.762206:0.659693:0.762206:0.659693:0.746954:0.651324:0.746954:0.000000 6:@0.651324:0.795929:0.659693:0.795929:0.659693:0.780677:0.651324:0.780677:0.000000 4:@0.651324:0.829652:0.659693:0.829652:0.659693:0.814400:0.651324:0.814400:0.000000 2:@0.651324:0.863375:0.659693:0.863375:0.659693:0.848123:0.651324:0.848123:0.000000 0:@0.654058:0.908981:0.661590:0.908981:0.661590:0.895254:0.654058:0.895254:0.000000 T:@0.662871:0.730713:0.670048:0.730713:0.670048:0.716986:0.662871:0.716986:0.000000 F:@0.909551:0.900803:0.916681:0.900803:0.916681:0.887076:0.909551:0.887076:0.000000 6:@0.244800:0.628112:0.255428:0.628112:0.255428:0.608744:0.244800:0.608744:0.000000 7:@0.289903:0.628112:0.300530:0.628112:0.300530:0.608744:0.289903:0.608744:0.000000 8:@0.325989:0.628112:0.336617:0.628112:0.336617:0.608744:0.325989:0.608744:0.000000 2:@0.459075:0.628112:0.469703:0.628112:0.469703:0.608744:0.459075:0.608744:0.000000 8:@0.495161:0.628112:0.505789:0.628112:0.505789:0.608744:0.495161:0.608744:0.000000 2:@0.375338:0.628112:0.385966:0.628112:0.385966:0.608744:0.375338:0.608744:0.000000 6:@0.411425:0.628112:0.422052:0.628112:0.422052:0.608744:0.411425:0.608744:0.000000 5:@0.544511:0.628112:0.555138:0.628112:0.555138:0.608744:0.544511:0.608744:0.000000 6:@0.580597:0.628112:0.591225:0.628112:0.591225:0.608744:0.580597:0.608744:0.000000 5:@0.625460:0.628112:0.636088:0.628112:0.636088:0.608744:0.625460:0.608744:0.000000 8:@0.661546:0.628112:0.672174:0.628112:0.672174:0.608744:0.661546:0.608744:0.000000 F:@0.108645:0.738492:0.118388:0.738492:0.118388:0.718697:0.108645:0.718697:0.000000 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5:@0.308356:0.490702:0.318166:0.490702:0.318166:0.472823:0.308356:0.472823:0.000000 ©:@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 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