65:@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
8.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
Propiedades de la adición de números racionales:@0.096359:0.101225:0.589623:0.101225:0.589623:0.079715:0.096359:0.079715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La adición de números racionales cumple con las siguientes propiedades::@0.096359:0.131135:0.621954:0.131135:0.621954:0.114746:0.096359:0.114746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.117858:0.170280:0.200506:0.170280:0.200506:0.153379:0.117858:0.153379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.287890:0.170280:0.372399:0.170280:0.372399:0.153379:0.287890:0.153379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.463469:0.170280:0.628947:0.170280:0.628947:0.153379:0.463469:0.153379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.753354:0.170280:0.826493:0.170280:0.826493:0.153379:0.753354:0.153379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.109511:0.217538:0.208854:0.217538:0.208854:0.200914:0.109511:0.200914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los sumandos :@0.235169:0.200942:0.427903:0.200942:0.427903:0.184553:0.235169:0.184553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
no altera :@0.235169:0.217538:0.303517:0.217538:0.303517:0.201149:0.235169:0.201149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el resultado. :@0.235169:0.234135:0.327581:0.234135:0.327581:0.217746:0.235169:0.217746:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.459072:0.219447:0.356539:0.219447:0.356539:0.203621:0.459072:0.203621:0.000000
=:@0.574958:0.219447:0.472424:0.219447:0.472424:0.203621:0.574958:0.203621:0.000000
∈:@0.499941:0.219097:0.512181:0.219097:0.512181:0.204590:0.499941:0.204590:0.000000
ab:@0.472336:0.218759:0.496682:0.218759:0.496682:0.202131:0.472336:0.202131:0.000000:0.000000
a:@0.532807:0.218759:0.542227:0.218759:0.542227:0.202131:0.532807:0.202131:0.000000
b b:@0.561966:0.218759:0.598110:0.218759:0.598110:0.202131:0.561966:0.202131:0.000000:0.000000:0.000000
a:@0.617849:0.218759:0.627269:0.218759:0.627269:0.202131:0.617849:0.202131:0.000000
+:@0.547134:0.218759:0.558296:0.218759:0.558296:0.202103:0.547134:0.202103:0.000000
+:@0.603017:0.218759:0.614178:0.218759:0.614178:0.202103:0.603017:0.202103:0.000000
,:@0.482016:0.218607:0.485003:0.218607:0.485003:0.203339:0.482016:0.203339:0.000000
;:@0.527646:0.218607:0.530633:0.218607:0.530633:0.203339:0.527646:0.203339:0.000000
:@0.513191:0.221338:0.526547:0.221338:0.526547:0.202321:0.513191:0.202321:0.000000
Asociativa:@0.120162:0.301893:0.198203:0.301893:0.198203:0.285269:0.120162:0.285269:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se agrupan tres o más :@0.235169:0.276998:0.416348:0.276998:0.416348:0.260610:0.235169:0.260610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos de distintas :@0.235169:0.293595:0.404040:0.293595:0.404040:0.277206:0.235169:0.277206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formas, su resultado no :@0.235169:0.310191:0.409530:0.310191:0.409530:0.293802:0.235169:0.293802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambia.:@0.235169:0.326788:0.292442:0.326788:0.292442:0.310399:0.235169:0.310399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.507498:0.288583:0.465885:0.288583:0.465885:0.273166:0.507498:0.273166:0.000000
∈:@0.562119:0.288583:0.520506:0.288583:0.520506:0.273166:0.562119:0.273166:0.000000
=:@0.540408:0.310983:0.484857:0.310983:0.484857:0.295566:0.540408:0.295566:0.000000
+:@0.605975:0.310983:0.550424:0.310983:0.550424:0.295566:0.605975:0.295566:0.000000
ab c:@0.520396:0.287912:0.558196:0.287912:0.558196:0.271715:0.520396:0.271715:0.000000:0.000000:0.000000:0.000000
a:@0.464425:0.310313:0.473601:0.310313:0.473601:0.294115:0.464425:0.294115:0.000000
b:@0.493596:0.310313:0.502773:0.310313:0.502773:0.294115:0.493596:0.294115:0.000000
a:@0.554547:0.310313:0.563724:0.310313:0.563724:0.294115:0.554547:0.294115:0.000000
b:@0.588279:0.310313:0.597456:0.310313:0.597456:0.294115:0.588279:0.294115:0.000000
c:@0.623580:0.310313:0.631169:0.310313:0.631169:0.294115:0.623580:0.294115:0.000000
,,:@0.530284:0.287912:0.548381:0.287912:0.548381:0.271687:0.530284:0.271687:0.000000:0.000000
+) +c:@0.478819:0.310313:0.536249:0.310313:0.536249:0.294088:0.478819:0.294088:0.000000:0.000000:0.000000:0.000000:0.000000
+(:@0.568941:0.310313:0.588553:0.310313:0.588553:0.294088:0.568941:0.294088:0.000000:0.000000
):@0.632684:0.310313:0.637518:0.310313:0.637518:0.294088:0.632684:0.294088:0.000000
(:@0.458779:0.310006:0.463174:0.310006:0.463174:0.295256:0.458779:0.295256:0.000000
:@0.576990:0.290086:0.591184:0.290086:0.591184:0.269877:0.576990:0.269877:0.000000
Clausurativa:@0.112008:0.381613:0.206355:0.381613:0.206355:0.364989:0.112008:0.364989:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de dos números :@0.235178:0.365017:0.423357:0.365017:0.423357:0.348628:0.235178:0.348628:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales es un número :@0.235178:0.381613:0.419156:0.381613:0.419156:0.365225:0.235178:0.365225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional.:@0.235178:0.398210:0.296008:0.398210:0.296008:0.381821:0.235178:0.381821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.464491:0.383096:0.488591:0.383096:0.488591:0.366899:0.464491:0.366899:0.000000:0.000000
ab cc:@0.529127:0.383096:0.610675:0.383096:0.610675:0.366899:0.529127:0.366899:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.474397:0.383096:0.477572:0.383096:0.477572:0.366872:0.474397:0.366872:0.000000
;:@0.519586:0.383096:0.522761:0.383096:0.522761:0.366872:0.519586:0.366872:0.000000
;:@0.589768:0.383096:0.592943:0.383096:0.592943:0.366872:0.589768:0.366872:0.000000
∀:@0.451594:0.383767:0.424119:0.383767:0.424119:0.368350:0.451594:0.368350:0.000000
∈:@0.492076:0.383767:0.464601:0.383767:0.464601:0.368350:0.492076:0.368350:0.000000
+=:@0.541095:0.383767:0.576871:0.383767:0.576871:0.368350:0.541095:0.368350:0.000000:0.000000
∈:@0.614580:0.383767:0.627587:0.383767:0.627587:0.368350:0.614580:0.368350:0.000000
:@0.506232:0.385903:0.520426:0.385903:0.520426:0.365694:0.506232:0.365694:0.000000
:@0.629849:0.385903:0.644043:0.385903:0.644043:0.365694:0.629849:0.365694:0.000000
Del elemento :@0.107429:0.444868:0.214842:0.444868:0.214842:0.428244:0.107429:0.428244:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.133338:0.461465:0.185009:0.461465:0.185009:0.444841:0.133338:0.444841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un número :@0.235169:0.428272:0.409437:0.428272:0.409437:0.411883:0.235169:0.411883:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional con cero da :@0.235169:0.444868:0.387619:0.444868:0.387619:0.428479:0.235169:0.428479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como resultado el mismo :@0.235169:0.461465:0.426411:0.461465:0.426411:0.445076:0.235169:0.445076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
número racional.:@0.235169:0.478061:0.358761:0.478061:0.358761:0.461672:0.235169:0.461672:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.501960:0.442645:0.511136:0.442645:0.511136:0.426447:0.501960:0.426447:0.000000
a:@0.486160:0.465045:0.495337:0.465045:0.495337:0.448847:0.486160:0.448847:0.000000
a a:@0.562035:0.465045:0.598376:0.465045:0.598376:0.448847:0.562035:0.448847:0.000000:0.000000:0.000000
,0:@0.542132:0.442645:0.561396:0.442645:0.561396:0.426420:0.542132:0.426420:0.000000:0.000000
;:@0.592301:0.442645:0.595475:0.442645:0.595475:0.426420:0.592301:0.426420:0.000000
00:@0.510881:0.465045:0.546218:0.465045:0.546218:0.448820:0.510881:0.448820:0.000000:0.000000
∀∈:@0.489062:0.443316:0.527628:0.443316:0.527628:0.427898:0.489062:0.427898:0.000000:0.000000
∈:@0.564790:0.443316:0.577797:0.443316:0.577797:0.427898:0.564790:0.427898:0.000000
+=+ =:@0.498147:0.465716:0.585076:0.465716:0.585076:0.450299:0.498147:0.450299:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.529215:0.445164:0.543409:0.445164:0.543409:0.424955:0.529215:0.424955:0.000000
:@0.578673:0.445164:0.592866:0.445164:0.592866:0.424955:0.578673:0.424955:0.000000
Del opuesto :@0.112570:0.524869:0.209700:0.524869:0.209700:0.508245:0.112570:0.508245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivo:@0.132785:0.541465:0.185580:0.541465:0.185580:0.524841:0.132785:0.524841:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un número :@0.235169:0.516571:0.409435:0.516571:0.409435:0.500182:0.235169:0.500182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional con su opuesto :@0.235169:0.533167:0.414652:0.533167:0.414652:0.516778:0.235169:0.516778:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivo es igual a 0.:@0.235169:0.549764:0.373413:0.549764:0.373413:0.533375:0.235169:0.533375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.496944:0.524398:0.506120:0.524398:0.506120:0.508201:0.496944:0.508201:0.000000
a:@0.564225:0.524398:0.573402:0.524398:0.573402:0.508201:0.564225:0.508201:0.000000
a:@0.507197:0.546798:0.516373:0.546798:0.516373:0.530601:0.507197:0.530601:0.000000
a:@0.548664:0.546798:0.557840:0.546798:0.557840:0.530601:0.548664:0.530601:0.000000
,(:@0.537098:0.524398:0.551893:0.524398:0.551893:0.508173:0.537098:0.508173:0.000000:0.000000
):@0.574459:0.524398:0.579293:0.524398:0.579293:0.508173:0.574459:0.508173:0.000000
;:@0.609705:0.524398:0.612879:0.524398:0.612879:0.508173:0.609705:0.508173:0.000000
(:@0.531496:0.546798:0.536330:0.546798:0.536330:0.530573:0.531496:0.530573:0.000000
) 0:@0.558916:0.546798:0.589692:0.546798:0.589692:0.530573:0.558916:0.530573:0.000000:0.000000:0.000000
∀∈:@0.484028:0.525069:0.522594:0.525069:0.522594:0.509652:0.484028:0.509652:0.000000:0.000000
−:@0.553170:0.525069:0.534161:0.525069:0.534161:0.509652:0.553170:0.509652:0.000000
∈:@0.582195:0.525069:0.563186:0.525069:0.563186:0.509652:0.582195:0.509652:0.000000
+−:@0.519164:0.547469:0.547624:0.547469:0.547624:0.532052:0.519164:0.532052:0.000000:0.000000
=:@0.566998:0.547469:0.577014:0.547469:0.577014:0.532052:0.566998:0.532052:0.000000
:@0.522848:0.527647:0.537041:0.527647:0.537041:0.507438:0.522848:0.507438:0.000000
:@0.595949:0.527647:0.610143:0.527647:0.610143:0.507438:0.595949:0.507438:0.000000
2:@0.717112:0.509133:0.726105:0.509133:0.726105:0.493463:0.717112:0.493463:0.000000
7:@0.716744:0.530238:0.725736:0.530238:0.725736:0.514568:0.716744:0.514568:0.000000
+:@0.743759:0.519431:0.753875:0.519431:0.753875:0.501410:0.743759:0.501410:0.000000
2:@0.761560:0.509128:0.770552:0.509128:0.770552:0.493458:0.761560:0.493458:0.000000
7:@0.761191:0.530233:0.770184:0.530233:0.770184:0.514563:0.761191:0.514563:0.000000
=:@0.775327:0.519431:0.785444:0.519431:0.785444:0.501410:0.775327:0.501410:0.000000
2:@0.813229:0.509133:0.822222:0.509133:0.822222:0.493463:0.813229:0.493463:0.000000
7:@0.812861:0.530238:0.821853:0.530238:0.821853:0.514568:0.812861:0.514568:0.000000
+:@0.839876:0.519431:0.849992:0.519431:0.849992:0.501410:0.839876:0.501410:0.000000
2:@0.857677:0.509128:0.866669:0.509128:0.866669:0.493458:0.857677:0.493458:0.000000
7:@0.857308:0.530233:0.866301:0.530233:0.866301:0.514563:0.857308:0.514563:0.000000
=:@0.871444:0.519431:0.881561:0.519431:0.881561:0.501410:0.871444:0.501410:0.000000
0:@0.885154:0.518837:0.894147:0.518837:0.894147:0.503167:0.885154:0.503167:0.000000
( 0,3) ( 0,3) 0,3 0,3 0:@0.686375:0.551725:0.896923:0.551724:0.896923:0.536054:0.686375:0.536055:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.692567:0.552320:0.702683:0.552320:0.702683:0.534299:0.692567:0.534299:0.000000
+:@0.734766:0.552320:0.744883:0.552320:0.744883:0.534299:0.734766:0.534299:0.000000
=:@0.796432:0.552318:0.806548:0.552318:0.806548:0.534298:0.796432:0.534298:0.000000
=:@0.874220:0.552318:0.884336:0.552318:0.884336:0.534298:0.874220:0.534298:0.000000
+−:@0.708739:0.215764:0.743254:0.215764:0.743254:0.200191:0.708739:0.200191:0.000000:0.000000
=−:@0.784698:0.215764:0.814496:0.215764:0.814496:0.200191:0.784698:0.200191:0.000000:0.000000
+:@0.860657:0.215764:0.870774:0.215764:0.870774:0.200191:0.860657:0.200191:0.000000
3:@0.687953:0.205336:0.696946:0.205336:0.696946:0.188947:0.687953:0.188947:0.000000
4:@0.687745:0.226481:0.696738:0.226481:0.696738:0.210092:0.687745:0.210092:0.000000
(0,45) (0,45):@0.726958:0.215086:0.852689:0.215086:0.852689:0.198698:0.726958:0.198698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.883408:0.205336:0.892401:0.205336:0.892401:0.188947:0.883408:0.188947:0.000000
4:@0.883174:0.226481:0.892166:0.226481:0.892166:0.210092:0.883174:0.210092:0.000000
+:@0.702297:0.279651:0.713333:0.279651:0.713333:0.259992:0.702297:0.259992:0.000000
4:@0.717434:0.269301:0.727244:0.269301:0.727244:0.251422:0.717434:0.251422:0.000000
5:@0.717635:0.290394:0.727445:0.290394:0.727445:0.272515:0.717635:0.272515:0.000000
⎛ ⎡:@0.691511:0.271283:0.690964:0.270438:0.690964:0.250779:0.691511:0.251624:0.000000:0.000000:0.000000
⎝:@0.691511:0.289282:0.699231:0.289282:0.699231:0.269623:0.691511:0.269623:0.000000
⎜ ⎢:@0.691511:0.282961:0.690964:0.284892:0.690964:0.265233:0.691511:0.263301:0.000000:0.000000:0.000000
⎞ ⎛:@0.729787:0.271298:0.763676:0.271283:0.763676:0.251624:0.729787:0.251639:0.000000:0.000000:0.000000
⎠ ⎝:@0.729787:0.289297:0.763676:0.289282:0.763676:0.269623:0.729787:0.269638:0.000000:0.000000:0.000000
⎟ ⎜:@0.729787:0.282976:0.763676:0.282961:0.763676:0.263301:0.729787:0.263317:0.000000:0.000000:0.000000
+:@0.742251:0.279672:0.753287:0.279672:0.753287:0.260012:0.742251:0.260012:0.000000
−:@0.766756:0.279672:0.777793:0.279672:0.777793:0.260012:0.766756:0.260012:0.000000
2:@0.781050:0.269321:0.790860:0.269321:0.790860:0.251443:0.781050:0.251443:0.000000
3:@0.781251:0.290414:0.791061:0.290414:0.791061:0.272535:0.781251:0.272535:0.000000
⎞ ⎤:@0.792543:0.271298:0.811480:0.270438:0.811480:0.250779:0.792543:0.251639:0.000000:0.000000:0.000000
⎠:@0.792543:0.289297:0.800263:0.289297:0.800263:0.269638:0.792543:0.269638:0.000000
⎟ ⎥:@0.792543:0.282976:0.811480:0.284892:0.811480:0.265233:0.792543:0.263317:0.000000:0.000000:0.000000
⎣:@0.683244:0.293612:0.690964:0.293612:0.690964:0.273953:0.683244:0.273953:0.000000
⎦:@0.803761:0.293612:0.811480:0.293612:0.811480:0.273953:0.803761:0.273953:0.000000
+:@0.814134:0.279672:0.825170:0.279672:0.825170:0.260012:0.814134:0.260012:0.000000
(–0,53):@0.827422:0.279023:0.882544:0.279023:0.882544:0.261144:0.827422:0.261144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.693195:0.325794:0.704231:0.325794:0.704231:0.306135:0.693195:0.306135:0.000000
4:@0.708332:0.315444:0.718143:0.315444:0.718143:0.297565:0.708332:0.297565:0.000000
5:@0.708533:0.336537:0.718344:0.336537:0.718344:0.318658:0.708533:0.318658:0.000000
⎛:@0.682403:0.317411:0.690123:0.317411:0.690123:0.297752:0.682403:0.297752:0.000000
⎝:@0.682403:0.335410:0.690123:0.335410:0.690123:0.315751:0.682403:0.315751:0.000000
⎜:@0.682403:0.329088:0.690123:0.329088:0.690123:0.309429:0.682403:0.309429:0.000000
⎞ ⎡:@0.720679:0.317426:0.755393:0.316566:0.755393:0.296907:0.720679:0.297767:0.000000:0.000000:0.000000
⎠:@0.720679:0.335425:0.728398:0.335425:0.728398:0.315766:0.720679:0.315766:0.000000
⎟ ⎢:@0.720679:0.329104:0.755393:0.331020:0.755393:0.311361:0.720679:0.309444:0.000000:0.000000:0.000000
+:@0.733143:0.325799:0.744179:0.325799:0.744179:0.306140:0.733143:0.306140:0.000000
−:@0.766755:0.325799:0.777791:0.325799:0.777791:0.306140:0.766755:0.306140:0.000000
2:@0.781048:0.315449:0.790858:0.315449:0.790858:0.297570:0.781048:0.297570:0.000000
3:@0.781249:0.336542:0.791059:0.336542:0.791059:0.318663:0.781249:0.318663:0.000000
⎛:@0.755956:0.317411:0.763676:0.317411:0.763676:0.297752:0.755956:0.297752:0.000000
⎝:@0.755956:0.335410:0.763676:0.335410:0.763676:0.315751:0.755956:0.315751:0.000000
⎜:@0.755956:0.329088:0.763676:0.329088:0.763676:0.309429:0.755956:0.309429:0.000000
⎞:@0.792543:0.317426:0.800263:0.317426:0.800263:0.297767:0.792543:0.297767:0.000000
⎠:@0.792543:0.335425:0.800263:0.335425:0.800263:0.315766:0.792543:0.315766:0.000000
⎟:@0.792543:0.329104:0.800263:0.329104:0.800263:0.309444:0.792543:0.309444:0.000000
+:@0.805007:0.325799:0.816044:0.325799:0.816044:0.306140:0.805007:0.306140:0.000000
(–0,53):@0.818295:0.325151:0.873417:0.325151:0.873417:0.307272:0.818295:0.307272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎣:@0.747674:0.339740:0.755393:0.339740:0.755393:0.320081:0.747674:0.320081:0.000000
⎤:@0.874262:0.316566:0.881981:0.316566:0.881981:0.296907:0.874262:0.296907:0.000000
⎦:@0.874262:0.339740:0.881981:0.339740:0.881981:0.320081:0.874262:0.320081:0.000000
⎥:@0.874262:0.331020:0.881981:0.331020:0.881981:0.311361:0.874262:0.311361:0.000000
+:@0.775025:0.381900:0.785142:0.381900:0.785142:0.366327:0.775025:0.366327:0.000000
=:@0.810775:0.381900:0.820892:0.381900:0.820892:0.366327:0.810775:0.366327:0.000000
0,5:@0.743615:0.381222:0.767313:0.381222:0.767313:0.364834:0.743615:0.364834:0.000000:0.000000:0.000000
1:@0.797589:0.371472:0.806582:0.371472:0.806582:0.355083:0.797589:0.355083:0.000000
2:@0.796803:0.392616:0.805796:0.392616:0.805796:0.376227:0.796803:0.376227:0.000000
1:@0.823560:0.381220:0.832553:0.381220:0.832553:0.364831:0.823560:0.364831:0.000000
2:@0.694195:0.428921:0.703188:0.428921:0.703188:0.413251:0.694195:0.413251:0.000000
7:@0.693826:0.450026:0.702819:0.450026:0.702819:0.434356:0.693826:0.434356:0.000000
+:@0.720843:0.439219:0.730960:0.439219:0.730960:0.421198:0.720843:0.421198:0.000000
0 0:@0.737078:0.438625:0.772348:0.438625:0.772348:0.422955:0.737078:0.422955:0.000000:0.000000:0.000000
=:@0.749645:0.439219:0.759762:0.439219:0.759762:0.421198:0.749645:0.421198:0.000000
+:@0.778429:0.439219:0.788546:0.439219:0.788546:0.421198:0.778429:0.421198:0.000000
2:@0.818843:0.428921:0.827836:0.428921:0.827836:0.413251:0.818843:0.413251:0.000000
7:@0.818474:0.450026:0.827467:0.450026:0.827467:0.434356:0.818474:0.434356:0.000000
=:@0.842978:0.439219:0.853095:0.439219:0.853095:0.421198:0.842978:0.421198:0.000000
2:@0.870514:0.428921:0.879507:0.428921:0.879507:0.413251:0.870514:0.413251:0.000000
7:@0.870145:0.450026:0.879138:0.450026:0.879138:0.434356:0.870145:0.434356:0.000000
2,56:@0.685243:0.472769:0.716901:0.472769:0.716901:0.457099:0.685243:0.457099:0.000000:0.000000:0.000000:0.000000
(:@0.667391:0.475687:0.623567:0.475687:0.623567:0.450130:0.667391:0.450130:0.000000
):@0.717910:0.475687:0.674085:0.475687:0.674085:0.450130:0.717910:0.450130:0.000000
+ = +:@0.728328:0.473364:0.793083:0.473364:0.793083:0.455343:0.728328:0.455343:0.000000:0.000000:0.000000:0.000000:0.000000
0 0:@0.743291:0.472769:0.778562:0.472769:0.778562:0.457099:0.743291:0.457099:0.000000:0.000000:0.000000
2,56:@0.816539:0.472769:0.848198:0.472769:0.848198:0.457099:0.816539:0.457099:0.000000:0.000000:0.000000:0.000000
(:@0.798688:0.475687:0.754864:0.475687:0.754864:0.450130:0.798688:0.450130:0.000000
):@0.849207:0.475687:0.805382:0.475687:0.805382:0.450130:0.849207:0.450130:0.000000
=:@0.858787:0.473364:0.868904:0.473364:0.868904:0.455343:0.858787:0.455343:0.000000
2,56:@0.882817:0.472769:0.914476:0.472769:0.914476:0.457099:0.882817:0.457099:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.096362:0.604821:0.159846:0.604821:0.159846:0.588183:0.096362:0.588183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analizamos y escribimos qué propiedad se presenta en cada paso del ejercicio: :@0.096362:0.628540:0.677749:0.628540:0.677749:0.612151:0.096362:0.612151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.159338:0.661152:0.168331:0.661152:0.168331:0.644763:0.159338:0.644763:0.000000
7:@0.158767:0.682284:0.167759:0.682284:0.167759:0.665896:0.158767:0.665896:0.000000
5:@0.187035:0.661152:0.196027:0.661152:0.196027:0.644763:0.187035:0.644763:0.000000
3:@0.187035:0.682284:0.196027:0.682284:0.196027:0.665896:0.187035:0.665896:0.000000
2,5:@0.211894:0.670888:0.235223:0.670888:0.235223:0.654499:0.211894:0.654499:0.000000:0.000000:0.000000
1 5:@0.252361:0.661138:0.287963:0.661138:0.287963:0.644749:0.252361:0.644749:0.000000:0.000000:0.000000
7:@0.251218:0.682271:0.260211:0.682271:0.260211:0.665882:0.251218:0.665882:0.000000
3:@0.278970:0.682271:0.287963:0.682271:0.287963:0.665882:0.278970:0.665882:0.000000
−+:@0.172071:0.671552:0.209148:0.671552:0.209148:0.655979:0.172071:0.655979:0.000000:0.000000
−+:@0.237185:0.671573:0.274630:0.671573:0.274630:0.656001:0.237185:0.656001:0.000000:0.000000
3:@0.152526:0.714517:0.162337:0.714517:0.162337:0.697422:0.152526:0.697422:0.000000
7 7:@0.151903:0.735609:0.191139:0.735609:0.191139:0.718515:0.151903:0.718515:0.000000:0.000000:0.000000
1:@0.182575:0.714517:0.192385:0.714517:0.192385:0.697422:0.182575:0.697422:0.000000
+ +:@0.205243:0.724501:0.242740:0.724501:0.242740:0.706480:0.205243:0.706480:0.000000:0.000000:0.000000
5:@0.219893:0.714197:0.228885:0.714197:0.228885:0.698528:0.219893:0.698528:0.000000
2:@0.219690:0.735302:0.228683:0.735302:0.228683:0.719633:0.219690:0.719633:0.000000
5 5:@0.257333:0.714517:0.295622:0.714517:0.295622:0.697422:0.257333:0.697422:0.000000:0.000000:0.000000
3 3:@0.257333:0.735609:0.295622:0.735609:0.295622:0.718515:0.257333:0.718515:0.000000:0.000000:0.000000
=:@0.310260:0.724501:0.320377:0.724501:0.320377:0.706480:0.310260:0.706480:0.000000
2:@0.185984:0.768445:0.194977:0.768445:0.194977:0.752056:0.185984:0.752056:0.000000
7:@0.185617:0.789583:0.194610:0.789583:0.194610:0.773194:0.185617:0.773194:0.000000
5:@0.213574:0.768445:0.222566:0.768445:0.222566:0.752056:0.213574:0.752056:0.000000
2:@0.213364:0.789583:0.222357:0.789583:0.222357:0.773194:0.213364:0.773194:0.000000
0:@0.239173:0.778189:0.248166:0.778189:0.248166:0.761800:0.239173:0.761800:0.000000
++ =:@0.198909:0.778867:0.262060:0.778867:0.262060:0.763294:0.198909:0.763294:0.000000:0.000000:0.000000:0.000000
4:@0.175784:0.820565:0.185594:0.820565:0.185594:0.803471:0.175784:0.803471:0.000000
14 14:@0.169914:0.841657:0.227453:0.841661:0.227453:0.824567:0.169914:0.824563:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.194002:0.830919:0.205038:0.830919:0.205038:0.811260:0.194002:0.811260:0.000000
35:@0.209280:0.820569:0.228720:0.820569:0.228720:0.803474:0.209280:0.803474:0.000000:0.000000
+ =:@0.242532:0.830550:0.278097:0.830550:0.278097:0.812530:0.242532:0.812530:0.000000:0.000000:0.000000
0:@0.255413:0.829956:0.264406:0.829956:0.264406:0.814286:0.255413:0.814286:0.000000
39:@0.182634:0.873487:0.200416:0.873487:0.200416:0.857098:0.182634:0.857098:0.000000:0.000000
14:@0.181848:0.894625:0.199631:0.894625:0.199631:0.878236:0.181848:0.878236:0.000000:0.000000
0:@0.217598:0.883229:0.226590:0.883229:0.226590:0.866840:0.217598:0.866840:0.000000
39:@0.245874:0.873487:0.263657:0.873487:0.263657:0.857098:0.245874:0.857098:0.000000:0.000000
14:@0.245088:0.894625:0.262871:0.894625:0.262871:0.878236:0.245088:0.878236:0.000000:0.000000
+=:@0.204732:0.883906:0.240500:0.883906:0.240500:0.868334:0.204732:0.868334:0.000000:0.000000
Se cambia el orden de los sumandos: propiedad :@0.329192:0.664226:0.685872:0.664226:0.685872:0.647837:0.329192:0.647837:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conmutativa.:@0.329192:0.680822:0.425477:0.680822:0.425477:0.664433:0.329192:0.664433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se agrupan fracciones homogéneas: propiedad :@0.329192:0.715799:0.680622:0.715799:0.680622:0.699410:0.329192:0.699410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
asociativa.:@0.329192:0.732395:0.404119:0.732395:0.404119:0.716007:0.329192:0.716007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se obtiene el cero: propiedad del opuesto aditivo.:@0.329192:0.779847:0.693612:0.779847:0.693612:0.763458:0.329192:0.763458:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se resuelve la suma de racionales: propiedad :@0.329192:0.823731:0.660608:0.823731:0.660608:0.807342:0.329192:0.807342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clausurativa.:@0.329192:0.840327:0.419377:0.840327:0.419377:0.823938:0.329192:0.823938:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se suma con cero: propiedad :@0.329192:0.875097:0.546950:0.875097:0.546950:0.858708:0.329192:0.858708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del elemento neutro.:@0.329192:0.891693:0.483411:0.891693:0.483411:0.875304:0.329192:0.875304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En una sociedad donde :@0.755005:0.652857:0.916280:0.652857:0.916280:0.637958:0.755005:0.637958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prevalecen la ética y la :@0.755005:0.667945:0.908540:0.667945:0.908540:0.653046:0.755005:0.653046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
integridad, se fomenta la :@0.755005:0.683033:0.923649:0.683033:0.923649:0.668134:0.755005:0.668134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colaboración y el :@0.755005:0.698120:0.872171:0.698120:0.872171:0.683221:0.755005:0.683221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entendimiento. Esto :@0.755005:0.713208:0.893210:0.713208:0.893210:0.698309:0.755005:0.698309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contribuye a un entorno :@0.755005:0.728295:0.921822:0.728295:0.921822:0.713396:0.755005:0.713396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
más armonioso y :@0.755005:0.743383:0.872806:0.743383:0.872806:0.728484:0.755005:0.728484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productivo.:@0.755005:0.758471:0.831245:0.758471:0.831245:0.743572:0.755005:0.743572:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Ética e integridad:@0.770087:0.620415:0.912938:0.620415:0.912938:0.603515:0.770087:0.603515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.948120:0.793828:0.948120:0.788721:0.936038:0.788721:0.936038:0.793828:0.000000
Freepik:@0.948120:0.788721:0.948120:0.767071:0.936209:0.767071:0.936209:0.788721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000