105:@0.916858:0.966074:0.945034:0.966074:0.945034:0.949450:0.916858:0.949450:0.000000:0.000000:0.000000
Propiedades de adición de números racionales:@0.096359:0.145294:0.580361:0.145294:0.580361:0.123485:0.096359:0.123485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la adición de números racionales se cumplen las siguientes propiedades::@0.096359:0.168075:0.637341:0.168075:0.637341:0.152405:0.096359:0.152405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.658975:0.165865:0.658975:0.165865:0.643863:0.096359:0.643863:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos escribimos:@0.096359:0.698059:0.290826:0.698059:0.290826:0.681158:0.096359:0.681158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 y :@0.188700:0.698059:0.204879:0.698059:0.204879:0.682389:0.188700:0.682389:0.000000:0.000000:0.000000
 qué propiedad se presenta en cada paso del ejercicio: :@0.290826:0.698059:0.692454:0.698059:0.692454:0.682389:0.290826:0.682389:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.696792:0.689572:0.705784:0.689572:0.705784:0.673902:0.696792:0.673902:0.000000
7:@0.696215:0.710710:0.705208:0.710710:0.705208:0.695040:0.696215:0.695040:0.000000
5:@0.724485:0.689572:0.733478:0.689572:0.733478:0.673902:0.724485:0.673902:0.000000
3:@0.724485:0.710710:0.733478:0.710710:0.733478:0.695040:0.724485:0.695040:0.000000
2,5:@0.749352:0.699316:0.772682:0.699316:0.772682:0.683646:0.749352:0.683646:0.000000:0.000000:0.000000
1 5:@0.789819:0.689565:0.825407:0.689572:0.825407:0.673902:0.789819:0.673896:0.000000:0.000000:0.000000
7:@0.788669:0.710710:0.797661:0.710710:0.797661:0.695040:0.788669:0.695040:0.000000
3:@0.816414:0.710710:0.825407:0.710710:0.825407:0.695040:0.816414:0.695040:0.000000
−+:@0.709513:0.699994:0.746590:0.699994:0.746590:0.684421:0.709513:0.684421:0.000000:0.000000
−+:@0.774638:0.699994:0.812083:0.699994:0.812083:0.684421:0.774638:0.684421:0.000000:0.000000
            :@0.096359:0.740391:0.144787:0.740391:0.144787:0.724721:0.096359:0.724721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.149131:0.730647:0.158123:0.730647:0.158123:0.714977:0.149131:0.714977:0.000000
7:@0.148554:0.751786:0.157547:0.751786:0.157547:0.736116:0.148554:0.736116:0.000000
1 5 5 5:@0.177558:0.730647:0.266962:0.730647:0.266962:0.714977:0.177558:0.714977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7 2 3 3:@0.176405:0.751786:0.266962:0.751786:0.266962:0.736116:0.176405:0.736116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−+ +− =:@0.161852:0.741068:0.281651:0.741068:0.281651:0.725495:0.161852:0.725495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.285520:0.740391:0.289556:0.740391:0.289556:0.724721:0.285520:0.724721:0.000000
 Se cambia el orden de los sumandos: propiedad conmutativa.:@0.337615:0.740391:0.794619:0.740391:0.794619:0.724721:0.337615:0.724721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
       :@0.096379:0.782725:0.124629:0.782725:0.124629:0.767055:0.096379:0.767055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.135950:0.773333:0.145760:0.773333:0.145760:0.755454:0.135950:0.755454:0.000000
7 7:@0.135327:0.794426:0.174562:0.794426:0.174562:0.776547:0.135327:0.776547:0.000000:0.000000:0.000000
1:@0.165999:0.773333:0.175809:0.773333:0.175809:0.755454:0.165999:0.755454:0.000000
+ +:@0.188668:0.783319:0.226163:0.783319:0.226163:0.765298:0.188668:0.765298:0.000000:0.000000:0.000000
5:@0.203318:0.773015:0.212311:0.773015:0.212311:0.756626:0.203318:0.756626:0.000000
2:@0.203115:0.794120:0.212108:0.794120:0.212108:0.777731:0.203115:0.777731:0.000000
5 5:@0.240756:0.773333:0.279046:0.773333:0.279046:0.755454:0.240756:0.755454:0.000000:0.000000:0.000000
3 3:@0.240756:0.794426:0.279046:0.794426:0.279046:0.776547:0.240756:0.776547:0.000000:0.000000:0.000000
=:@0.293684:0.783319:0.303801:0.783319:0.303801:0.765298:0.293684:0.765298:0.000000
  :@0.310560:0.782724:0.318631:0.782724:0.318631:0.767054:0.310560:0.767054:0.000000:0.000000
Se agrupan fracciones homogéneas: propiedad asociativa.:@0.337593:0.782724:0.763956:0.782724:0.763956:0.767054:0.337593:0.767054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096357:0.825059:0.100392:0.825059:0.100392:0.809389:0.096357:0.809389:0.000000
   :@0.156671:0.825059:0.168778:0.825059:0.168778:0.809389:0.156671:0.809389:0.000000:0.000000:0.000000
2:@0.172963:0.816569:0.181955:0.816569:0.181955:0.800899:0.172963:0.800899:0.000000
7:@0.172596:0.837707:0.181588:0.837707:0.181588:0.822037:0.172596:0.822037:0.000000
5:@0.200552:0.816569:0.209545:0.816569:0.209545:0.800899:0.200552:0.800899:0.000000
2:@0.200343:0.837707:0.209335:0.837707:0.209335:0.822037:0.200343:0.822037:0.000000
0     :@0.226151:0.826313:0.281324:0.825055:0.281324:0.809385:0.226151:0.810644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
++ =:@0.185887:0.826991:0.249039:0.826991:0.249039:0.811418:0.185887:0.811418:0.000000:0.000000:0.000000:0.000000
Se obtiene el cero: propiedad del opuesto aditivo.:@0.337602:0.825055:0.702023:0.825055:0.702023:0.809385:0.337602:0.809385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096366:0.867389:0.100401:0.867389:0.100401:0.851720:0.096366:0.851720:0.000000
4:@0.172406:0.857997:0.182217:0.857997:0.182217:0.840903:0.172406:0.840903:0.000000
14 14:@0.166536:0.879090:0.224076:0.879094:0.224076:0.861999:0.166536:0.861996:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.190625:0.868351:0.201661:0.868351:0.201661:0.848692:0.190625:0.848692:0.000000
35:@0.205903:0.858001:0.225342:0.858001:0.225342:0.840907:0.205903:0.840907:0.000000:0.000000
+ =:@0.239155:0.867983:0.274720:0.867983:0.274720:0.849962:0.239155:0.849962:0.000000:0.000000:0.000000
0:@0.252036:0.867388:0.261028:0.867388:0.261028:0.851718:0.252036:0.851718:0.000000
  :@0.283934:0.867388:0.292005:0.867388:0.292005:0.851718:0.283934:0.851718:0.000000:0.000000
Se resuelve la suma de racionales: propiedad clausurativa.:@0.337595:0.867388:0.759199:0.867388:0.759199:0.851718:0.337595:0.851718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.096358:0.909723:0.100394:0.909723:0.100394:0.894053:0.096358:0.894053:0.000000
39:@0.160856:0.898719:0.178638:0.898719:0.178638:0.883049:0.160856:0.883049:0.000000:0.000000
14:@0.160063:0.919851:0.177846:0.919851:0.177846:0.904182:0.160063:0.904182:0.000000:0.000000
0:@0.195813:0.908455:0.204806:0.908455:0.204806:0.892786:0.195813:0.892786:0.000000
39:@0.224081:0.898705:0.241864:0.898705:0.241864:0.883035:0.224081:0.883035:0.000000:0.000000
14:@0.223289:0.919838:0.241071:0.919838:0.241071:0.904168:0.223289:0.904168:0.000000:0.000000
+=:@0.182932:0.909119:0.218700:0.909119:0.218700:0.893546:0.182932:0.893546:0.000000:0.000000
  :@0.247115:0.909700:0.255187:0.909700:0.255187:0.894030:0.247115:0.894030:0.000000:0.000000
 :@0.277270:0.909700:0.281306:0.909700:0.281306:0.894030:0.277270:0.894030:0.000000
Se suma con cero: propiedad del elemento neutro.:@0.337577:0.909700:0.709555:0.909700:0.709555:0.894030:0.337577:0.894030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.111956:0.202043:0.189704:0.202043:0.189704:0.186465:0.111956:0.186465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.241821:0.202043:0.320808:0.202043:0.320808:0.186465:0.241821:0.186465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.389879:0.202043:0.545540:0.202043:0.545540:0.186465:0.389879:0.186465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.706231:0.202043:0.774782:0.202043:0.774782:0.186465:0.706231:0.186465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.105691:0.249305:0.196001:0.249305:0.196001:0.234192:0.105691:0.234192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los :@0.211281:0.234218:0.313153:0.234218:0.313153:0.219972:0.211281:0.219972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos no altera :@0.211281:0.249305:0.346806:0.249305:0.346806:0.235060:0.211281:0.235060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el resultado. :@0.211281:0.264393:0.295293:0.264393:0.295293:0.250148:0.211281:0.250148:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.433876:0.250176:0.448213:0.250176:0.448213:0.233428:0.433876:0.233428:0.000000
∀:@0.376813:0.250359:0.391146:0.250359:0.391146:0.233370:0.376813:0.233370:0.000000
=:@0.501209:0.250359:0.512246:0.250359:0.512246:0.233370:0.501209:0.233370:0.000000
∈:@0.420684:0.249983:0.433823:0.249983:0.433823:0.234410:0.420684:0.234410:0.000000
ab:@0.391052:0.249620:0.417186:0.249620:0.417186:0.231771:0.391052:0.231771:0.000000:0.000000
a:@0.455964:0.249620:0.466076:0.249620:0.466076:0.231771:0.455964:0.231771:0.000000
b b:@0.487264:0.249620:0.526063:0.249620:0.526063:0.231771:0.487264:0.231771:0.000000:0.000000:0.000000
a:@0.547251:0.249620:0.557363:0.249620:0.557363:0.231771:0.547251:0.231771:0.000000
,:@0.401837:0.249620:0.405335:0.249620:0.405335:0.232525:0.401837:0.232525:0.000000
; +:@0.448436:0.249620:0.483341:0.249620:0.483341:0.232525:0.448436:0.232525:0.000000:0.000000:0.000000
+:@0.531347:0.249620:0.543328:0.249620:0.543328:0.232525:0.531347:0.232525:0.000000
Asociativa:@0.115357:0.334604:0.186303:0.334604:0.186303:0.319491:0.115357:0.319491:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se agrupan tres o :@0.211264:0.311973:0.344729:0.311973:0.344729:0.297728:0.211264:0.297728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más sumandos de :@0.211264:0.327060:0.336807:0.327060:0.336807:0.312815:0.211264:0.312815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintas formas, su :@0.211264:0.342148:0.341379:0.342148:0.341379:0.327903:0.211264:0.327903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado no cambia.:@0.211264:0.357236:0.350946:0.357236:0.350946:0.342990:0.211264:0.342990:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.494604:0.323609:0.508940:0.323609:0.508940:0.306861:0.494604:0.306861:0.000000
∀:@0.426232:0.323416:0.439371:0.323416:0.439371:0.307843:0.426232:0.307843:0.000000
∈:@0.481404:0.323416:0.494543:0.323416:0.494543:0.307843:0.481404:0.307843:0.000000
=:@0.459476:0.346047:0.469592:0.346047:0.469592:0.330474:0.459476:0.330474:0.000000
+:@0.525704:0.346047:0.535821:0.346047:0.535821:0.330474:0.525704:0.330474:0.000000
ab c:@0.439260:0.322743:0.477442:0.322743:0.477442:0.306382:0.439260:0.306382:0.000000:0.000000:0.000000:0.000000
a:@0.382729:0.345369:0.391999:0.345369:0.391999:0.329008:0.382729:0.329008:0.000000
b:@0.412195:0.345369:0.421464:0.345369:0.421464:0.329008:0.412195:0.329008:0.000000
a:@0.473762:0.345369:0.483031:0.345369:0.483031:0.329008:0.473762:0.329008:0.000000
b:@0.507835:0.345369:0.517104:0.345369:0.517104:0.329008:0.507835:0.329008:0.000000
c:@0.543492:0.345369:0.551158:0.345369:0.551158:0.329008:0.543492:0.329008:0.000000
,,:@0.449267:0.322738:0.467547:0.322738:0.467547:0.307068:0.449267:0.307068:0.000000:0.000000
+) +c:@0.397282:0.345369:0.455292:0.345369:0.455292:0.329700:0.397282:0.329700:0.000000:0.000000:0.000000:0.000000:0.000000
+(:@0.488315:0.345369:0.508124:0.345369:0.508124:0.329700:0.488315:0.329700:0.000000:0.000000
):@0.552701:0.345369:0.557584:0.345369:0.557584:0.329700:0.552701:0.329700:0.000000
(:@0.377022:0.345055:0.381461:0.345055:0.381461:0.330810:0.377022:0.330810:0.000000
Clausurativa:@0.107945:0.421687:0.193716:0.421687:0.193716:0.406575:0.107945:0.406575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de dos :@0.211257:0.399056:0.319025:0.399056:0.319025:0.384811:0.211257:0.384811:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales :@0.211257:0.414144:0.345176:0.414144:0.345176:0.399898:0.211257:0.399898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es un número :@0.211257:0.429231:0.307900:0.429231:0.307900:0.414986:0.211257:0.414986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional.:@0.211257:0.444319:0.266557:0.444319:0.266557:0.430074:0.211257:0.430074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.384875:0.421054:0.409218:0.421054:0.409218:0.404692:0.384875:0.404692:0.000000:0.000000
ab cc:@0.450165:0.421054:0.532536:0.421054:0.532536:0.404692:0.450165:0.404692:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.394882:0.421054:0.398088:0.421054:0.398088:0.405384:0.394882:0.405384:0.000000
;:@0.440527:0.421054:0.443733:0.421054:0.443733:0.405384:0.440527:0.405384:0.000000
;:@0.511418:0.421054:0.514624:0.421054:0.514624:0.405384:0.511418:0.405384:0.000000
:@0.425932:0.421925:0.316509:0.421925:0.316509:0.405177:0.425932:0.405177:0.000000
:@0.549692:0.421925:0.440269:0.421925:0.440269:0.405177:0.549692:0.405177:0.000000
∀:@0.371840:0.421731:0.384979:0.421731:0.384979:0.406159:0.371840:0.406159:0.000000
∈:@0.412731:0.421731:0.425870:0.421731:0.425870:0.406159:0.412731:0.406159:0.000000
+=:@0.462246:0.421731:0.498383:0.421731:0.498383:0.406159:0.462246:0.406159:0.000000:0.000000
∈:@0.536473:0.421731:0.549612:0.421731:0.549612:0.406159:0.536473:0.406159:0.000000
Del :@0.139046:0.483086:0.166168:0.483086:0.166168:0.467974:0.139046:0.467974:0.000000:0.000000:0.000000:0.000000
elemento :@0.117351:0.498174:0.187879:0.498174:0.187879:0.483061:0.117351:0.483061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.127353:0.513262:0.174326:0.513262:0.174326:0.498149:0.127353:0.498149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un :@0.211265:0.467999:0.312634:0.467999:0.312634:0.453754:0.211265:0.453754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número racional :@0.211265:0.483086:0.324562:0.483086:0.324562:0.468841:0.211265:0.468841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con cero da como :@0.211265:0.498174:0.336305:0.498174:0.336305:0.483929:0.211265:0.483929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado el mismo :@0.211265:0.513262:0.342437:0.513262:0.342437:0.499016:0.211265:0.499016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número racional.:@0.211265:0.528349:0.323622:0.528349:0.323622:0.514104:0.211265:0.514104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.426338:0.487684:0.435607:0.487684:0.435607:0.471323:0.426338:0.471323:0.000000
a:@0.410371:0.510316:0.419640:0.510316:0.419640:0.493955:0.410371:0.493955:0.000000
a a:@0.487011:0.510316:0.523719:0.510316:0.523719:0.493955:0.487011:0.493955:0.000000:0.000000:0.000000
,0:@0.466910:0.487684:0.486370:0.487684:0.486370:0.472015:0.466910:0.472015:0.000000:0.000000
;:@0.517586:0.487684:0.520793:0.487684:0.520793:0.472015:0.517586:0.472015:0.000000
00:@0.435342:0.510316:0.471036:0.510316:0.471036:0.494646:0.435342:0.494646:0.000000:0.000000
:@0.452295:0.488561:0.415956:0.488561:0.415956:0.471812:0.452295:0.471812:0.000000
:@0.502971:0.488561:0.466632:0.488561:0.466632:0.471812:0.502971:0.471812:0.000000
∀∈:@0.413303:0.488362:0.452259:0.488362:0.452259:0.472789:0.413303:0.472789:0.000000:0.000000
∈:@0.489796:0.488362:0.502935:0.488362:0.502935:0.472789:0.489796:0.472789:0.000000
+=+ =:@0.422463:0.510994:0.510270:0.510994:0.510270:0.495421:0.422463:0.495421:0.000000:0.000000:0.000000:0.000000:0.000000
Del opuesto :@0.108455:0.575298:0.196756:0.575298:0.196756:0.560185:0.108455:0.560185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivo:@0.126833:0.590386:0.174828:0.590386:0.174828:0.575273:0.126833:0.575273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un :@0.211265:0.560211:0.312634:0.560211:0.312634:0.545965:0.211265:0.545965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número con su :@0.211265:0.575298:0.316168:0.575298:0.316168:0.561053:0.211265:0.561053:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
opuesto aditivo :@0.211265:0.590386:0.319283:0.590386:0.319283:0.576141:0.211265:0.576141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es igual a 0.:@0.211265:0.605473:0.288008:0.605473:0.288008:0.591228:0.211265:0.591228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.415030:0.570859:0.424299:0.570859:0.424299:0.554497:0.415030:0.554497:0.000000
a:@0.482991:0.570859:0.492260:0.570859:0.492260:0.554497:0.482991:0.554497:0.000000
a:@0.425394:0.593490:0.434664:0.593490:0.434664:0.577129:0.425394:0.577129:0.000000
a:@0.467280:0.593490:0.476550:0.593490:0.476550:0.577129:0.467280:0.577129:0.000000
,(:@0.455602:0.570859:0.470547:0.570859:0.470547:0.555189:0.455602:0.555189:0.000000:0.000000
):@0.493342:0.570859:0.498226:0.570859:0.498226:0.555189:0.493342:0.555189:0.000000
;:@0.528944:0.570859:0.532151:0.570859:0.532151:0.555189:0.528944:0.555189:0.000000
(:@0.449948:0.593490:0.454832:0.593490:0.454832:0.577820:0.449948:0.577820:0.000000
) 0:@0.477645:0.593490:0.508733:0.593490:0.508733:0.577820:0.477645:0.577820:0.000000:0.000000:0.000000
:@0.440996:0.571730:0.381991:0.571730:0.381991:0.554981:0.440996:0.554981:0.000000
:@0.514338:0.571730:0.455333:0.571730:0.455333:0.554981:0.514338:0.554981:0.000000
∀∈:@0.401995:0.571536:0.440951:0.571536:0.440951:0.555963:0.401995:0.555963:0.000000:0.000000
−:@0.471835:0.571536:0.481952:0.571536:0.481952:0.555963:0.471835:0.555963:0.000000
∈:@0.501154:0.571536:0.514293:0.571536:0.514293:0.555963:0.501154:0.555963:0.000000
+−:@0.437486:0.594163:0.466233:0.594163:0.466233:0.578590:0.437486:0.578590:0.000000:0.000000
=:@0.485804:0.594163:0.495920:0.594163:0.495920:0.578590:0.485804:0.578590:0.000000
2:@0.669172:0.563099:0.678165:0.563099:0.678165:0.547429:0.669172:0.547429:0.000000
7:@0.668803:0.584204:0.677796:0.584204:0.677796:0.568534:0.668803:0.568534:0.000000
+:@0.695818:0.573398:0.705935:0.573398:0.705935:0.555378:0.695818:0.555378:0.000000
2:@0.713619:0.563095:0.722612:0.563095:0.722612:0.547425:0.713619:0.547425:0.000000
7:@0.713251:0.584200:0.722244:0.584200:0.722244:0.568530:0.713251:0.568530:0.000000
=:@0.727387:0.573398:0.737503:0.573398:0.737503:0.555378:0.727387:0.555378:0.000000
2:@0.765289:0.563099:0.774282:0.563099:0.774282:0.547429:0.765289:0.547429:0.000000
7:@0.764920:0.584204:0.773913:0.584204:0.773913:0.568534:0.764920:0.568534:0.000000
+:@0.791935:0.573398:0.802052:0.573398:0.802052:0.555378:0.791935:0.555378:0.000000
2:@0.809736:0.563095:0.818729:0.563095:0.818729:0.547425:0.809736:0.547425:0.000000
7:@0.809368:0.584200:0.818360:0.584200:0.818360:0.568530:0.809368:0.568530:0.000000
=:@0.823503:0.573398:0.833620:0.573398:0.833620:0.555378:0.823503:0.555378:0.000000
0:@0.837214:0.572804:0.846206:0.572804:0.846206:0.557134:0.837214:0.557134:0.000000
( 0,3) ( 0,3) 0,3 0,3 0:@0.638435:0.605692:0.848982:0.605690:0.848982:0.590020:0.638435:0.590022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.644626:0.606287:0.654743:0.606287:0.654743:0.588266:0.644626:0.588266:0.000000
+:@0.686826:0.606287:0.696942:0.606287:0.696942:0.588266:0.686826:0.588266:0.000000
=:@0.748493:0.606284:0.758610:0.606284:0.758610:0.588263:0.748493:0.588263:0.000000
=:@0.826279:0.606284:0.836396:0.606284:0.836396:0.588263:0.826279:0.588263:0.000000
+−:@0.662716:0.250923:0.697231:0.250923:0.697231:0.235350:0.662716:0.235350:0.000000:0.000000
=−:@0.738674:0.250923:0.768472:0.250923:0.768472:0.235350:0.738674:0.235350:0.000000:0.000000
+:@0.814633:0.250923:0.824750:0.250923:0.824750:0.235350:0.814633:0.235350:0.000000
3:@0.641929:0.240495:0.650922:0.240495:0.650922:0.224826:0.641929:0.224826:0.000000
4:@0.641723:0.261639:0.650716:0.261639:0.650716:0.245970:0.641723:0.245970:0.000000
(0,45) (0,45):@0.680934:0.250246:0.806666:0.250246:0.806666:0.234576:0.680934:0.234576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.837384:0.240495:0.846377:0.240495:0.846377:0.224826:0.837384:0.224826:0.000000
4:@0.837150:0.261639:0.846143:0.261639:0.846143:0.245970:0.837150:0.245970:0.000000
+:@0.660883:0.314811:0.671919:0.314811:0.671919:0.295151:0.660883:0.295151:0.000000
4:@0.676020:0.304460:0.685831:0.304460:0.685831:0.286582:0.676020:0.286582:0.000000
5:@0.676221:0.325553:0.686032:0.325553:0.686032:0.307674:0.676221:0.307674:0.000000
⎛ ⎡:@0.650099:0.306442:0.649552:0.305597:0.649552:0.285938:0.650099:0.286783:0.000000:0.000000:0.000000
⎝:@0.650099:0.324441:0.657819:0.324441:0.657819:0.304782:0.650099:0.304782:0.000000
⎜ ⎢:@0.650099:0.318120:0.649552:0.320051:0.649552:0.300392:0.650099:0.298461:0.000000:0.000000:0.000000
⎞ ⎛:@0.688375:0.306457:0.722264:0.306442:0.722264:0.286783:0.688375:0.286798:0.000000:0.000000:0.000000
⎠ ⎝:@0.688375:0.324457:0.722264:0.324441:0.722264:0.304782:0.688375:0.304797:0.000000:0.000000:0.000000
⎟ ⎜:@0.688375:0.318135:0.722264:0.318120:0.722264:0.298461:0.688375:0.298476:0.000000:0.000000:0.000000
+:@0.700839:0.314831:0.711876:0.314831:0.711876:0.295172:0.700839:0.295172:0.000000
−:@0.725344:0.314831:0.736381:0.314831:0.736381:0.295172:0.725344:0.295172:0.000000
2:@0.739638:0.304481:0.749448:0.304481:0.749448:0.286602:0.739638:0.286602:0.000000
3:@0.739839:0.325573:0.749649:0.325573:0.749649:0.307694:0.739839:0.307694:0.000000
⎞ ⎤:@0.751131:0.306457:0.770068:0.305597:0.770068:0.285938:0.751131:0.286798:0.000000:0.000000:0.000000
⎠:@0.751131:0.324457:0.758851:0.324457:0.758851:0.304797:0.751131:0.304797:0.000000
⎟ ⎥:@0.751131:0.318135:0.770068:0.320051:0.770068:0.300392:0.751131:0.298476:0.000000:0.000000:0.000000
⎣:@0.641832:0.328772:0.649552:0.328772:0.649552:0.309112:0.641832:0.309112:0.000000
⎦:@0.762349:0.328772:0.770068:0.328772:0.770068:0.309112:0.762349:0.309112:0.000000
+:@0.772722:0.314831:0.783758:0.314831:0.783758:0.295172:0.772722:0.295172:0.000000
(–0,53):@0.786010:0.314182:0.841132:0.314182:0.841132:0.296303:0.786010:0.296303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.651783:0.360954:0.662819:0.360954:0.662819:0.341294:0.651783:0.341294:0.000000
4:@0.666920:0.350603:0.676731:0.350603:0.676731:0.332725:0.666920:0.332725:0.000000
5:@0.667121:0.371696:0.676932:0.371696:0.676932:0.353817:0.667121:0.353817:0.000000
⎛:@0.640989:0.352569:0.648709:0.352569:0.648709:0.332909:0.640989:0.332909:0.000000
⎝:@0.640989:0.370568:0.648709:0.370568:0.648709:0.350909:0.640989:0.350909:0.000000
⎜:@0.640989:0.364246:0.648709:0.364246:0.648709:0.344587:0.640989:0.344587:0.000000
⎞ ⎡:@0.679265:0.352584:0.713981:0.351724:0.713981:0.332065:0.679265:0.332925:0.000000:0.000000:0.000000
⎠:@0.679265:0.370583:0.686985:0.370583:0.686985:0.350924:0.679265:0.350924:0.000000
⎟ ⎢:@0.679265:0.364261:0.713981:0.366178:0.713981:0.346518:0.679265:0.344602:0.000000:0.000000:0.000000
+:@0.691729:0.360957:0.702766:0.360957:0.702766:0.341298:0.691729:0.341298:0.000000
−:@0.725341:0.360957:0.736378:0.360957:0.736378:0.341298:0.725341:0.341298:0.000000
2:@0.739634:0.350607:0.749444:0.350607:0.749444:0.332728:0.739634:0.332728:0.000000
3:@0.739835:0.371700:0.749645:0.371700:0.749645:0.353821:0.739835:0.353821:0.000000
⎛:@0.714544:0.352569:0.722264:0.352569:0.722264:0.332909:0.714544:0.332909:0.000000
⎝:@0.714544:0.370568:0.722264:0.370568:0.722264:0.350909:0.714544:0.350909:0.000000
⎜:@0.714544:0.364246:0.722264:0.364246:0.722264:0.344587:0.714544:0.344587:0.000000
⎞:@0.751131:0.352584:0.758851:0.352584:0.758851:0.332925:0.751131:0.332925:0.000000
⎠:@0.751131:0.370583:0.758851:0.370583:0.758851:0.350924:0.751131:0.350924:0.000000
⎟:@0.751131:0.364261:0.758851:0.364261:0.758851:0.344602:0.751131:0.344602:0.000000
+:@0.763595:0.360957:0.774632:0.360957:0.774632:0.341298:0.763595:0.341298:0.000000
(–0,53):@0.776883:0.360309:0.832005:0.360309:0.832005:0.342430:0.776883:0.342430:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎣:@0.706262:0.374898:0.713981:0.374898:0.713981:0.355239:0.706262:0.355239:0.000000
⎤:@0.832850:0.351724:0.840569:0.351724:0.840569:0.332065:0.832850:0.332065:0.000000
⎦:@0.832850:0.374898:0.840569:0.374898:0.840569:0.355239:0.832850:0.355239:0.000000
⎥:@0.832850:0.366178:0.840569:0.366178:0.840569:0.346518:0.832850:0.346518:0.000000
+:@0.729464:0.423578:0.739581:0.423578:0.739581:0.408005:0.729464:0.408005:0.000000
=:@0.765213:0.423578:0.775330:0.423578:0.775330:0.408005:0.765213:0.408005:0.000000
0,5:@0.698053:0.422901:0.721751:0.422901:0.721751:0.407231:0.698053:0.407231:0.000000:0.000000:0.000000
1:@0.752028:0.413150:0.761020:0.413150:0.761020:0.397481:0.752028:0.397481:0.000000
2:@0.751242:0.434296:0.760235:0.434296:0.760235:0.418626:0.751242:0.418626:0.000000
1:@0.777999:0.422899:0.786992:0.422899:0.786992:0.407230:0.777999:0.407230:0.000000
2:@0.645178:0.477737:0.654170:0.477737:0.654170:0.462067:0.645178:0.462067:0.000000
7:@0.644809:0.498842:0.653802:0.498842:0.653802:0.483172:0.644809:0.483172:0.000000
+:@0.671826:0.488036:0.681942:0.488036:0.681942:0.470016:0.671826:0.470016:0.000000
0 0:@0.688060:0.487442:0.723331:0.487442:0.723331:0.471772:0.688060:0.471772:0.000000:0.000000:0.000000
=:@0.700628:0.488036:0.710745:0.488036:0.710745:0.470016:0.700628:0.470016:0.000000
+:@0.729412:0.488036:0.739529:0.488036:0.739529:0.470016:0.729412:0.470016:0.000000
2:@0.769827:0.477737:0.778820:0.477737:0.778820:0.462067:0.769827:0.462067:0.000000
7:@0.769459:0.498842:0.778451:0.498842:0.778451:0.483172:0.769459:0.483172:0.000000
=:@0.793961:0.488036:0.804077:0.488036:0.804077:0.470016:0.793961:0.470016:0.000000
2:@0.821497:0.477737:0.830489:0.477737:0.830489:0.462067:0.821497:0.462067:0.000000
7:@0.821128:0.498842:0.830121:0.498842:0.830121:0.483172:0.821128:0.483172:0.000000
2,56:@0.636225:0.521585:0.667884:0.521585:0.667884:0.505915:0.636225:0.505915:0.000000:0.000000:0.000000:0.000000
(:@0.618374:0.524503:0.574549:0.524503:0.574549:0.498946:0.618374:0.498946:0.000000
):@0.668892:0.524503:0.625068:0.524503:0.625068:0.498946:0.668892:0.498946:0.000000
+ = +:@0.679311:0.522180:0.744065:0.522180:0.744065:0.504159:0.679311:0.504159:0.000000:0.000000:0.000000:0.000000:0.000000
0 0:@0.694274:0.521585:0.729544:0.521585:0.729544:0.505915:0.694274:0.505915:0.000000:0.000000:0.000000
2,56:@0.767524:0.521585:0.799182:0.521585:0.799182:0.505915:0.767524:0.505915:0.000000:0.000000:0.000000:0.000000
(:@0.749671:0.524503:0.705846:0.524503:0.705846:0.498946:0.749671:0.498946:0.000000
):@0.800189:0.524503:0.756365:0.524503:0.756365:0.498946:0.800189:0.498946:0.000000
=:@0.809770:0.522180:0.819887:0.522180:0.819887:0.504159:0.809770:0.504159:0.000000
2,56:@0.833799:0.521585:0.865458:0.521585:0.865458:0.505915:0.833799:0.505915:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000