15:@0.922460:0.966765:0.939432:0.966765:0.939432:0.950778:0.922460:0.950778:0.000000:0.000000
Producto:@0.108233:0.105567:0.180458:0.105567:0.180458:0.088621:0.108233:0.088621:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108233:0.122672:0.120505:0.122672:0.120505:0.105958:0.108233:0.105958:0.000000:0.000000
 :@0.120506:0.122455:0.124648:0.122455:0.124648:0.105958:0.120506:0.105958:0.000000
Conmutativa :@0.131968:0.122918:0.240316:0.122918:0.240316:0.105972:0.131968:0.105972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: para todo  ,   :@0.233534:0.122455:0.341148:0.122455:0.341148:0.105958:0.233534:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.314947:0.122571:0.337006:0.122571:0.337006:0.106102:0.314947:0.106102:0.000000:0.000000:0.000000
 :@0.341155:0.121937:0.360205:0.121937:0.360205:0.108564:0.341155:0.108564:0.000000:0.000000
R:@0.360206:0.121487:0.374115:0.121487:0.374115:0.108040:0.360206:0.108040:0.000000
,     =  .:@0.374115:0.122455:0.441659:0.122455:0.441659:0.105958:0.374115:0.105958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy yx:@0.389296:0.122571:0.438904:0.122571:0.438904:0.106102:0.389296:0.106102:0.000000:0.000000:0.000000:0.000000:0.000000
2.:@0.108236:0.140023:0.120508:0.140023:0.120508:0.123309:0.108236:0.123309:0.000000:0.000000
 :@0.120508:0.139806:0.124650:0.139806:0.124650:0.123309:0.120508:0.123309:0.000000
Asociativa :@0.131970:0.140269:0.218798:0.140269:0.218798:0.123323:0.131970:0.123323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: para todo  ,  ,   :@0.212017:0.139806:0.333174:0.139806:0.333174:0.123309:0.212017:0.123309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.293430:0.139922:0.329032:0.139922:0.329032:0.123453:0.293430:0.123453:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.333178:0.139288:0.352228:0.139288:0.352228:0.125914:0.333178:0.125914:0.000000:0.000000
R:@0.352228:0.138837:0.366138:0.138837:0.366138:0.125391:0.352228:0.125391:0.000000
,     (   ) = (   )  .:@0.366138:0.139806:0.487162:0.139806:0.487162:0.123309:0.366138:0.123309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.381319:0.139922:0.417364:0.139922:0.417364:0.123453:0.381319:0.123453:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.448362:0.139922:0.484407:0.139922:0.484407:0.123453:0.448362:0.123453:0.000000:0.000000:0.000000:0.000000:0.000000
3.:@0.108234:0.157374:0.120506:0.157374:0.120506:0.140659:0.108234:0.140659:0.000000:0.000000
 :@0.120506:0.157157:0.124648:0.157157:0.124648:0.140659:0.120506:0.140659:0.000000
Existencia de elemento unidad :@0.131968:0.157620:0.373167:0.157620:0.373167:0.140674:0.131968:0.140674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: existe 1:@0.366386:0.157157:0.425569:0.157157:0.425569:0.140659:0.366386:0.140659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  R:@0.425570:0.156188:0.463349:0.156188:0.463349:0.142741:0.425570:0.142741:0.000000:0.000000:0.000000
 :@0.430390:0.156638:0.449440:0.156638:0.449440:0.143265:0.430390:0.143265:0.000000:0.000000
, tal que para todo:@0.463349:0.157157:0.594023:0.157157:0.594023:0.140659:0.463349:0.140659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.108233:0.174508:0.112375:0.174508:0.112375:0.158010:0.108233:0.158010:0.000000
x:@0.131968:0.174623:0.139443:0.174623:0.139443:0.158155:0.131968:0.158155:0.000000
  R:@0.139443:0.173539:0.177226:0.173539:0.177226:0.160092:0.139443:0.160092:0.000000:0.000000:0.000000
 :@0.144267:0.173989:0.163317:0.173989:0.163317:0.160616:0.144267:0.160616:0.000000:0.000000
,   · 1 = 1 ·   =  .:@0.177226:0.174508:0.286556:0.174508:0.286556:0.158010:0.177226:0.158010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.184123:0.174623:0.191598:0.174623:0.191598:0.158155:0.184123:0.158155:0.000000
x x:@0.249760:0.174623:0.283802:0.174623:0.283802:0.158155:0.249760:0.158155:0.000000:0.000000:0.000000
4.:@0.108237:0.192075:0.120124:0.192075:0.120124:0.175361:0.108237:0.175361:0.000000:0.000000
 :@0.119739:0.191858:0.123881:0.191858:0.123881:0.175361:0.119739:0.175361:0.000000
Existencia de opuestos multiplicativos:@0.131973:0.192321:0.409470:0.192321:0.409470:0.175375:0.131973:0.175375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
: para cada :@0.409084:0.191858:0.484853:0.191858:0.484853:0.175361:0.409084:0.175361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.484294:0.191974:0.491769:0.191974:0.491769:0.175505:0.484294:0.175505:0.000000
  R:@0.491366:0.190890:0.527663:0.190890:0.527663:0.177443:0.491366:0.177443:0.000000:0.000000:0.000000
 :@0.495595:0.191340:0.514294:0.191340:0.514294:0.177967:0.495595:0.177967:0.000000:0.000000
 con   ≠ 0, :@0.527278:0.191858:0.599927:0.191858:0.599927:0.175361:0.527278:0.175361:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.560240:0.191974:0.567715:0.191974:0.567715:0.175505:0.560240:0.175505:0.000000
 :@0.595785:0.191858:0.599927:0.191858:0.599927:0.175361:0.595785:0.175361:0.000000
existe   =   :@0.131993:0.213576:0.231924:0.213561:0.231924:0.197064:0.131993:0.197078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.175896:0.213692:0.183371:0.213692:0.183371:0.197223:0.175896:0.197223:0.000000
–1:@0.183356:0.207220:0.194430:0.207220:0.194430:0.197602:0.183356:0.197602:0.000000:0.000000
1:@0.216397:0.206028:0.224893:0.206028:0.224893:0.189531:0.216397:0.189531:0.000000
x:@0.216917:0.222483:0.224392:0.222483:0.224392:0.206014:0.216917:0.206014:0.000000
 :@0.231911:0.213053:0.250961:0.213053:0.250961:0.199680:0.231911:0.199680:0.000000:0.000000
R:@0.250960:0.212603:0.264870:0.212603:0.264870:0.199156:0.250960:0.199156:0.000000
, tal que   ·   =   ·   = 1.:@0.264870:0.213572:0.448612:0.213572:0.448612:0.197074:0.264870:0.197074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x x:@0.325052:0.213688:0.351041:0.213688:0.351041:0.197219:0.325052:0.197219:0.000000:0.000000:0.000000
–1:@0.351041:0.207220:0.362115:0.207220:0.362115:0.197602:0.351041:0.197602:0.000000:0.000000
x:@0.381207:0.213688:0.388682:0.213688:0.388682:0.197219:0.381207:0.197219:0.000000
–1:@0.388682:0.207220:0.399756:0.207220:0.399756:0.197602:0.388682:0.197602:0.000000:0.000000
x:@0.410794:0.213688:0.418269:0.213688:0.418269:0.197219:0.410794:0.197219:0.000000
Sean  ,   :@0.108233:0.248274:0.175315:0.248274:0.175315:0.231776:0.108233:0.231776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.146031:0.248389:0.171173:0.248389:0.171173:0.231920:0.146031:0.231920:0.000000:0.000000:0.000000
 :@0.175313:0.247755:0.194363:0.247755:0.194363:0.234382:0.175313:0.234382:0.000000:0.000000
R:@0.194364:0.247305:0.208273:0.247305:0.208273:0.233858:0.194364:0.233858:0.000000
. Cuando dé lugar a confusión, se utilizará la notación :@0.208273:0.248274:0.589854:0.248274:0.589854:0.231776:0.208273:0.231776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.108229:0.265740:0.141757:0.265740:0.141757:0.249271:0.108229:0.249271:0.000000:0.000000:0.000000
  :@0.117210:0.263786:0.132725:0.263786:0.132725:0.255081:0.117210:0.255081:0.000000:0.000000:0.000000
, caso contrario se escribirá   o también :@0.141757:0.265624:0.436514:0.265624:0.436514:0.249127:0.141757:0.249127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ab:@0.336409:0.265740:0.354538:0.265740:0.354538:0.249271:0.336409:0.249271:0.000000:0.000000
a.b.:@0.436514:0.265740:0.459728:0.265740:0.459728:0.249271:0.436514:0.249271:0.000000:0.000000:0.000000:0.000000
Las propiedades, de la 1 a la 4, descritas para el producto de números :@0.108236:0.300326:0.599856:0.300326:0.599856:0.283828:0.108236:0.283828:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales, dan la estructura algebraica del grupo conmutativo. Escribimos :@0.108236:0.317677:0.599858:0.317677:0.599858:0.301179:0.108236:0.301179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( –{0},  ) y lo denominamos grupo conmutativo del producto de :@0.108236:0.335027:0.599912:0.335027:0.599912:0.318530:0.108236:0.318530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.114188:0.334059:0.128098:0.334059:0.128098:0.320612:0.114188:0.320612:0.000000
x:@0.167457:0.335143:0.174932:0.335143:0.174932:0.318674:0.167457:0.318674:0.000000
números reales.:@0.108236:0.352378:0.218142:0.352378:0.218142:0.335880:0.108236:0.335880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las operaciones de adición y producto están relacionadas con la pro-:@0.108236:0.387080:0.595762:0.387080:0.595762:0.370582:0.108236:0.370582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
piedad distributiva: para todo  ,  ,   :@0.108236:0.404430:0.362514:0.404430:0.362514:0.387933:0.108236:0.387933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.322770:0.404546:0.358372:0.404546:0.358372:0.388077:0.322770:0.388077:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.362509:0.403912:0.381559:0.403912:0.381559:0.390538:0.362509:0.390538:0.000000:0.000000
R:@0.381560:0.403462:0.395470:0.403462:0.395470:0.390015:0.381560:0.390015:0.000000
;    (  +  ) =   +  .:@0.395470:0.404430:0.533871:0.404430:0.533871:0.387933:0.395470:0.387933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.410651:0.404546:0.457504:0.404546:0.457504:0.388077:0.410651:0.388077:0.000000:0.000000:0.000000:0.000000:0.000000
xy xz:@0.482549:0.404546:0.531116:0.404546:0.531116:0.388077:0.482549:0.388077:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades algebraicas de los números reales:@0.108233:0.440529:0.477392:0.440529:0.477392:0.422847:0.108233:0.422847:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Productos notables y factorización:@0.108233:0.638222:0.386953:0.638222:0.386953:0.620540:0.108233:0.620540:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicio resuelto:@0.108233:0.655308:0.226211:0.655308:0.226211:0.638522:0.108233:0.638522:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.108233:0.672500:0.120505:0.672500:0.120505:0.655786:0.108233:0.655786:0.000000:0.000000
  Consideremos tres números :@0.120506:0.672283:0.339510:0.672283:0.339510:0.655786:0.120506:0.655786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales positivos  ,   y  , tales :@0.131968:0.689634:0.339493:0.689634:0.339493:0.673136:0.131968:0.673136:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b c:@0.244381:0.689750:0.295202:0.689750:0.295202:0.673281:0.244381:0.673281:0.000000:0.000000:0.000000:0.000000:0.000000
que   y   son los lados del :@0.131968:0.706985:0.339551:0.706985:0.339551:0.690487:0.131968:0.690487:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.165875:0.707100:0.174852:0.707100:0.174852:0.690632:0.165875:0.690632:0.000000
c:@0.196468:0.707100:0.203654:0.707100:0.203654:0.690632:0.196468:0.690632:0.000000
rectángulo  , mientras que :@0.131968:0.724336:0.339533:0.724336:0.339533:0.707838:0.131968:0.707838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.215386:0.724451:0.224961:0.724451:0.224961:0.707982:0.215386:0.707982:0.000000
1:@0.224962:0.727612:0.229915:0.727612:0.229915:0.717994:0.224962:0.717994:0.000000
b c:@0.131971:0.741802:0.163104:0.741802:0.163104:0.725333:0.131971:0.725333:0.000000:0.000000:0.000000
 y   son los lados del rectán-:@0.141238:0.741686:0.335372:0.741686:0.335372:0.725189:0.141238:0.725189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gulo  , como se ilustra en la :@0.131971:0.759037:0.339506:0.759037:0.339506:0.742539:0.131971:0.742539:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.167593:0.759153:0.177167:0.759153:0.177167:0.742684:0.167593:0.742684:0.000000
2:@0.177176:0.762314:0.182129:0.762314:0.182129:0.752696:0.177176:0.752696:0.000000
figura 1.2.:@0.131980:0.776388:0.199004:0.776388:0.199004:0.759890:0.131980:0.759890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Da lugar a la región R, la unión de   y  , que :@0.131980:0.818218:0.469711:0.818222:0.469711:0.801724:0.131980:0.801720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.383409:0.818333:0.392984:0.818333:0.392984:0.801864:0.383409:0.801864:0.000000
1:@0.393007:0.821500:0.397960:0.821500:0.397960:0.811882:0.393007:0.811882:0.000000
R:@0.416109:0.818338:0.425683:0.818338:0.425683:0.801869:0.416109:0.801869:0.000000
2:@0.425689:0.821500:0.430642:0.821500:0.430642:0.811882:0.425689:0.811882:0.000000
notamos :@0.131974:0.835573:0.200115:0.835573:0.200115:0.819075:0.131974:0.819075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R = R    R:@0.200115:0.835688:0.277047:0.835688:0.277047:0.819220:0.200115:0.819220:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.238434:0.838918:0.243140:0.838918:0.243140:0.829317:0.238434:0.829317:0.000000
:@0.247282:0.835356:0.263330:0.835356:0.263330:0.820709:0.247282:0.820709:0.000000
2:@0.277047:0.838918:0.281753:0.838918:0.281753:0.829317:0.277047:0.829317:0.000000
 (ver figura 1.2).:@0.281753:0.835573:0.390754:0.835573:0.390754:0.819075:0.281753:0.819075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El área de   es   y de   es  .:@0.131985:0.870274:0.351217:0.870274:0.351217:0.853777:0.131985:0.853777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.203362:0.870390:0.212937:0.870390:0.212937:0.853921:0.203362:0.853921:0.000000
1:@0.212929:0.873552:0.217882:0.873552:0.217882:0.863934:0.212929:0.863934:0.000000
ac:@0.240537:0.870390:0.256585:0.870390:0.256585:0.853921:0.240537:0.853921:0.000000:0.000000
R:@0.294691:0.870390:0.304266:0.870390:0.304266:0.853921:0.294691:0.853921:0.000000
2:@0.304265:0.873552:0.309218:0.873552:0.309218:0.863934:0.304265:0.863934:0.000000
bc:@0.331874:0.870390:0.348462:0.870390:0.348462:0.853921:0.331874:0.853921:0.000000:0.000000
El área de estos tres rectángulos es::@0.131978:0.887625:0.377837:0.887625:0.377837:0.871127:0.131978:0.871127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a(R) = ac + bc = c(a + b).:@0.131978:0.905091:0.309852:0.905091:0.309852:0.888623:0.131978:0.888623:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   = 3,5 m;   = 4 m; y   = 2 m,:@0.522562:0.818222:0.743419:0.818222:0.743419:0.801724:0.522562:0.801724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.538513:0.818338:0.547491:0.818338:0.547491:0.801869:0.538513:0.801869:0.000000
b:@0.612261:0.818338:0.621527:0.818338:0.621527:0.801869:0.612261:0.801869:0.000000
c:@0.687010:0.818338:0.694196:0.818338:0.694196:0.801869:0.687010:0.801869:0.000000
calcula el área de cada rectángulo y verifica que :@0.522562:0.835573:0.860243:0.835573:0.860243:0.819075:0.522562:0.819075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ac + bc = c(a + b):@0.522562:0.853039:0.648998:0.853039:0.648998:0.836570:0.522562:0.836570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.648998:0.852923:0.651753:0.852923:0.651753:0.836426:0.648998:0.836426:0.000000
a(R ):@0.522562:0.881711:0.556681:0.881706:0.556681:0.865237:0.522562:0.865242:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.546543:0.884935:0.551249:0.884935:0.551249:0.875334:0.546543:0.875334:0.000000
 = 3,5 × 2 = 7 m,:@0.556681:0.881590:0.672331:0.881590:0.672331:0.865092:0.556681:0.865092:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a(R ):@0.522563:0.899056:0.556681:0.899056:0.556681:0.882588:0.522563:0.882588:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.546543:0.902286:0.551249:0.902286:0.551249:0.892685:0.546543:0.892685:0.000000
 = 4 × 2 = 8 m,:@0.556681:0.898941:0.661080:0.898941:0.661080:0.882443:0.556681:0.882443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a(R):@0.522563:0.916407:0.551981:0.916407:0.551981:0.899938:0.522563:0.899938:0.000000:0.000000:0.000000:0.000000
 = 7 + 8 = 15 m,:@0.551981:0.916291:0.664875:0.916291:0.664875:0.899794:0.551981:0.899794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a(R):@0.522563:0.933758:0.551981:0.933758:0.551981:0.917289:0.522563:0.917289:0.000000:0.000000:0.000000:0.000000
 = 2(3,5 + 4) = 2(7,5) = 15 m.:@0.551981:0.933642:0.755768:0.933642:0.755768:0.917144:0.551981:0.917144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ley cancelativa:@0.115351:0.477862:0.216580:0.477862:0.216580:0.462601:0.115351:0.462601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,  ,   :@0.115351:0.497071:0.186151:0.497071:0.186151:0.482008:0.115351:0.482008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.149862:0.497176:0.182369:0.497176:0.182369:0.482140:0.149862:0.482140:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.186151:0.496873:0.205201:0.496873:0.205201:0.483499:0.186151:0.483499:0.000000:0.000000
R:@0.205201:0.496186:0.217901:0.496186:0.217901:0.483909:0.205201:0.483909:0.000000
. Entonces,:@0.217901:0.497071:0.286289:0.497071:0.286289:0.482008:0.217901:0.482008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.115351:0.513111:0.124973:0.513111:0.124973:0.497850:0.115351:0.497850:0.000000:0.000000
 :@0.124972:0.512913:0.128754:0.512913:0.128754:0.497850:0.124972:0.497850:0.000000
x + y = x + z:@0.134348:0.513018:0.213591:0.513018:0.213591:0.497982:0.134348:0.497982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 , :@0.213591:0.512913:0.223670:0.512913:0.223670:0.497850:0.213591:0.497850:0.000000:0.000000:0.000000
⇔:@0.223670:0.512451:0.241999:0.512451:0.241999:0.496279:0.223670:0.496279:0.000000
 :@0.241999:0.512913:0.245781:0.512913:0.245781:0.497850:0.241999:0.497850:0.000000
y = z.:@0.245781:0.513018:0.279343:0.513018:0.279343:0.497982:0.245781:0.497982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.115351:0.528953:0.128860:0.528953:0.128860:0.513692:0.115351:0.513692:0.000000:0.000000:0.000000
 Si:@0.128860:0.528755:0.145131:0.528755:0.145131:0.513692:0.128860:0.513692:0.000000:0.000000:0.000000
 x ≠ 0 xy = xz:@0.145131:0.528860:0.231322:0.528860:0.231322:0.513824:0.145131:0.513824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
; :@0.180610:0.528755:0.186907:0.528755:0.186907:0.513692:0.180610:0.513692:0.000000:0.000000
 :@0.231322:0.528755:0.235104:0.528755:0.235104:0.513692:0.231322:0.513692:0.000000
⇔:@0.235104:0.528293:0.253433:0.528293:0.253433:0.512121:0.235104:0.512121:0.000000
 :@0.253433:0.528755:0.257215:0.528755:0.257215:0.513692:0.253433:0.513692:0.000000
y = z.:@0.257215:0.528860:0.290776:0.528860:0.290776:0.513824:0.257215:0.513824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   :@0.318340:0.477664:0.376774:0.477664:0.376774:0.462601:0.318340:0.462601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.352852:0.477770:0.372992:0.477770:0.372992:0.462733:0.352852:0.462733:0.000000:0.000000:0.000000
 :@0.376774:0.477466:0.395824:0.477466:0.395824:0.464093:0.376774:0.464093:0.000000:0.000000
R:@0.395823:0.476780:0.408523:0.476780:0.408523:0.464502:0.395823:0.464502:0.000000
. Se verifican las igualdades.:@0.408523:0.477664:0.583595:0.477664:0.583595:0.462601:0.408523:0.462601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.318339:0.493704:0.327961:0.493704:0.327961:0.478443:0.318339:0.478443:0.000000:0.000000
 :@0.327961:0.493506:0.331743:0.493506:0.331743:0.478443:0.327961:0.478443:0.000000
x (–y) = (–x) y = –xy.:@0.334962:0.493612:0.468961:0.493612:0.468961:0.478575:0.334962:0.478575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.318339:0.509546:0.331848:0.509546:0.331848:0.494285:0.318339:0.494285:0.000000:0.000000:0.000000
 :@0.331849:0.509348:0.335631:0.509348:0.335631:0.494285:0.331849:0.494285:0.000000
(–x) (–y) = xy.:@0.334962:0.509454:0.424671:0.509454:0.424671:0.494417:0.334962:0.494417:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las propiedades i y ii se conocen como :@0.318339:0.528755:0.575658:0.528755:0.575658:0.513692:0.318339:0.513692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
leyes de los signos.:@0.318339:0.544597:0.437932:0.544597:0.437932:0.529534:0.318339:0.529534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean  ,   :@0.115350:0.564954:0.173784:0.564954:0.173784:0.549891:0.115350:0.549891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.149862:0.565059:0.170002:0.565059:0.170002:0.550023:0.149862:0.550023:0.000000:0.000000:0.000000
 :@0.173784:0.564756:0.192834:0.564756:0.192834:0.551382:0.173784:0.551382:0.000000:0.000000
R:@0.192834:0.564069:0.205534:0.564069:0.205534:0.551792:0.192834:0.551792:0.000000
. :@0.205534:0.565059:0.211919:0.565059:0.211919:0.550023:0.205534:0.550023:0.000000:0.000000
Entonces,:@0.211919:0.564954:0.274011:0.564954:0.274011:0.549891:0.211919:0.549891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
xy = 0:@0.115350:0.584466:0.154242:0.584466:0.154242:0.569429:0.115350:0.569429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.154242:0.584360:0.158024:0.584360:0.158024:0.569297:0.154242:0.569297:0.000000
⇔:@0.158024:0.583898:0.176352:0.583898:0.176352:0.567726:0.158024:0.567726:0.000000
 :@0.176352:0.584360:0.180134:0.584360:0.180134:0.569297:0.176352:0.569297:0.000000
x = 0  y = 0.:@0.180134:0.584466:0.264496:0.584466:0.264496:0.569429:0.180134:0.569429:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.211832:0.584360:0.215613:0.584360:0.215613:0.569297:0.211832:0.569297:0.000000
∨:@0.215613:0.583898:0.226220:0.583898:0.226220:0.567726:0.215613:0.567726:0.000000
Sean :@0.318339:0.564954:0.352851:0.564954:0.352851:0.549891:0.318339:0.549891:0.000000:0.000000:0.000000:0.000000:0.000000
a, b, c, d:@0.352851:0.565059:0.403070:0.565059:0.403070:0.550023:0.352851:0.550023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.403070:0.564954:0.406852:0.564954:0.406852:0.549891:0.403070:0.549891:0.000000
 :@0.406852:0.564756:0.425902:0.564756:0.425902:0.551382:0.406852:0.551382:0.000000:0.000000
R:@0.425902:0.564069:0.438602:0.564069:0.438602:0.551792:0.425902:0.551792:0.000000
. :@0.438602:0.565059:0.444987:0.565059:0.444987:0.550023:0.438602:0.550023:0.000000:0.000000
Se verifican::@0.444987:0.564954:0.521029:0.564954:0.521029:0.549891:0.444987:0.549891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.318339:0.580994:0.327961:0.580994:0.327961:0.565733:0.318339:0.565733:0.000000:0.000000
 a (b – c) = ab – ac.:@0.327961:0.580901:0.453569:0.580901:0.453569:0.565865:0.327961:0.565865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.318339:0.596836:0.331848:0.596836:0.331848:0.581575:0.318339:0.581575:0.000000:0.000000:0.000000
 –(a + b) = –a – b.:@0.331848:0.596743:0.451144:0.596743:0.451144:0.581707:0.331848:0.581707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c:@0.396016:0.699360:0.401952:0.699360:0.401952:0.685756:0.396016:0.685756:0.000000
a:@0.428279:0.736793:0.435696:0.736793:0.435696:0.723188:0.428279:0.723188:0.000000
b:@0.513638:0.736793:0.521293:0.736793:0.521293:0.723188:0.513638:0.723188:0.000000
a + b:@0.475181:0.747484:0.506087:0.747484:0.506087:0.733879:0.475181:0.733879:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.426561:0.699909:0.434471:0.699909:0.434471:0.686305:0.426561:0.686305:0.000000
1:@0.434474:0.702572:0.438362:0.702572:0.438362:0.694640:0.434474:0.694640:0.000000
R:@0.510141:0.699905:0.518051:0.699905:0.518051:0.686300:0.510141:0.686300:0.000000
2:@0.518050:0.702572:0.521938:0.702572:0.521938:0.694640:0.518050:0.694640:0.000000
p:@0.532627:0.768266:0.544107:0.768266:0.544107:0.758242:0.532627:0.758242:0.000000
 :@0.544107:0.768974:0.546988:0.768974:0.546988:0.757497:0.544107:0.757497:0.000000
Figura 1.2.:@0.546988:0.768974:0.595557:0.768974:0.595557:0.757497:0.546988:0.757497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.684804:0.103490:0.782426:0.103490:0.782426:0.088018:0.684804:0.088018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.684804:0.116058:0.768866:0.116058:0.768866:0.100586:0.684804:0.100586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.685042:0.140731:0.694663:0.140731:0.694663:0.125470:0.685042:0.125470:0.000000:0.000000
 Se define resta de :@0.694663:0.140533:0.816490:0.140533:0.816490:0.125470:0.694663:0.125470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales   –  , que se :@0.638498:0.156375:0.822697:0.156375:0.822697:0.141312:0.638498:0.141312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.739885:0.156481:0.770879:0.156481:0.770879:0.141444:0.739885:0.141444:0.000000:0.000000:0.000000
lee   menos  , como::@0.638498:0.172217:0.773220:0.172217:0.773220:0.157154:0.638498:0.157154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.660732:0.172323:0.667557:0.172323:0.667557:0.157286:0.660732:0.157286:0.000000
y:@0.719237:0.172323:0.726255:0.172323:0.726255:0.157286:0.719237:0.157286:0.000000
x y x:@0.638498:0.195293:0.693749:0.195293:0.693749:0.180257:0.638498:0.180257:0.000000:0.000000:0.000000:0.000000:0.000000
 –   =   + (– ).:@0.645323:0.195188:0.741171:0.195188:0.741171:0.180125:0.645323:0.180125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.726202:0.195293:0.733221:0.195293:0.733221:0.180257:0.726202:0.180257:0.000000
ii):@0.638498:0.218357:0.652007:0.218357:0.652007:0.203096:0.638498:0.203096:0.000000:0.000000:0.000000
 Si   ≠ 0, se define la división :@0.652007:0.218159:0.838337:0.218159:0.838337:0.203096:0.652007:0.203096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.670354:0.218264:0.677372:0.218264:0.677372:0.203228:0.670354:0.203228:0.000000
de números reales   (que se :@0.638498:0.239532:0.830705:0.239524:0.830705:0.224461:0.638498:0.224469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.763689:0.232369:0.770514:0.232369:0.770514:0.217332:0.763689:0.217332:0.000000
y:@0.763583:0.248712:0.770602:0.248712:0.770602:0.233676:0.763583:0.233676:0.000000
lee   dividido para  ) como se :@0.638483:0.262495:0.835717:0.262495:0.835717:0.247432:0.638483:0.247432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.660717:0.262601:0.667542:0.262601:0.667542:0.247564:0.660717:0.247564:0.000000
y:@0.760468:0.262601:0.767487:0.262601:0.767487:0.247564:0.760468:0.247564:0.000000
indica: :@0.638483:0.282614:0.684182:0.282614:0.684182:0.267551:0.638483:0.267551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.687913:0.275456:0.694738:0.275456:0.694738:0.260420:0.687913:0.260420:0.000000
y:@0.687807:0.291800:0.694826:0.291800:0.694826:0.276763:0.687807:0.276763:0.000000
 :@0.698432:0.292671:0.702214:0.292671:0.702214:0.277608:0.698432:0.277608:0.000000
= :@0.702214:0.282612:0.715863:0.282612:0.715863:0.267549:0.702214:0.267549:0.000000:0.000000
xy:@0.715863:0.282717:0.729883:0.282717:0.729883:0.267681:0.715863:0.267681:0.000000:0.000000
–1:@0.729898:0.276817:0.740009:0.276817:0.740009:0.268036:0.729898:0.268036:0.000000:0.000000
 .:@0.740009:0.282618:0.746307:0.282618:0.746307:0.267555:0.740009:0.267555:0.000000:0.000000
El conjunto   con las dos ope-:@0.638498:0.312718:0.839320:0.312718:0.839320:0.297655:0.638498:0.297655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.716772:0.311833:0.729472:0.311833:0.729472:0.299556:0.716772:0.299556:0.000000
raciones de adición y producto :@0.638497:0.328560:0.844384:0.328560:0.844384:0.313497:0.638497:0.313497:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene una estructura algebraica :@0.638497:0.344402:0.841237:0.344402:0.841237:0.329339:0.638497:0.329339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cuerpo, es decir que ( ; +) :@0.638497:0.360244:0.835787:0.360244:0.835787:0.345181:0.638497:0.345181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.797705:0.359359:0.810405:0.359359:0.810405:0.347082:0.797705:0.347082:0.000000
es grupo conmutativo;  :@0.638498:0.376086:0.793059:0.376086:0.793059:0.361023:0.638498:0.361023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( – {0},  ) es grupo conmuta-:@0.638498:0.391928:0.839938:0.391928:0.839938:0.376865:0.638498:0.376865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.643933:0.391043:0.661030:0.391043:0.661030:0.378766:0.643933:0.378766:0.000000:0.000000
x:@0.699148:0.392033:0.705973:0.392033:0.705973:0.376997:0.699148:0.376997:0.000000
tivo y se satisface la propiedad :@0.638498:0.407770:0.838336:0.407770:0.838336:0.392707:0.638498:0.392707:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distributiva.:@0.638498:0.423612:0.713992:0.423612:0.713992:0.408549:0.638498:0.408549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Teorema:@0.638498:0.447005:0.699621:0.447005:0.699621:0.431533:0.638498:0.431533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.638498:0.464405:0.648119:0.464405:0.648119:0.449144:0.638498:0.449144:0.000000:0.000000
 :@0.648119:0.464312:0.651901:0.464312:0.651901:0.449275:0.648119:0.449275:0.000000
El elemento neutro “0” para :@0.662243:0.464206:0.844230:0.464206:0.844230:0.449143:0.662243:0.449143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la adición es único.:@0.662243:0.480048:0.784298:0.480048:0.784298:0.464985:0.662243:0.464985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.638497:0.497870:0.652006:0.497870:0.652006:0.482609:0.638497:0.482609:0.000000:0.000000:0.000000
 :@0.652006:0.497779:0.655788:0.497779:0.655788:0.482742:0.652006:0.482742:0.000000
El opuesto aditivo de   :@0.662243:0.497673:0.813216:0.497673:0.813216:0.482610:0.662243:0.482610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.802610:0.497779:0.809435:0.497779:0.809435:0.482742:0.802610:0.482742:0.000000
 :@0.813216:0.497475:0.832266:0.497475:0.832266:0.484102:0.813216:0.484102:0.000000:0.000000
R:@0.832268:0.496789:0.844968:0.496789:0.844968:0.484511:0.832268:0.484511:0.000000
 :@0.844968:0.497673:0.848750:0.497673:0.848750:0.482610:0.844968:0.482610:0.000000
es único.:@0.662243:0.513515:0.718320:0.513515:0.718320:0.498452:0.662243:0.498452:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iii):@0.638497:0.531337:0.655893:0.531337:0.655893:0.516076:0.638497:0.516076:0.000000:0.000000:0.000000:0.000000
 :@0.655894:0.531244:0.659676:0.531244:0.659676:0.516208:0.655894:0.516208:0.000000
El elemento unidad “1” para :@0.662243:0.531139:0.846444:0.531139:0.846444:0.516076:0.662243:0.516076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el producto es único.:@0.662243:0.546981:0.798441:0.546981:0.798441:0.531918:0.662243:0.531918:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iv):@0.638497:0.564803:0.655665:0.564803:0.655665:0.549542:0.638497:0.549542:0.000000:0.000000:0.000000
 :@0.655665:0.564711:0.659446:0.564711:0.659446:0.549674:0.655665:0.549674:0.000000
El opuesto multiplicativo de :@0.662243:0.564605:0.848254:0.564605:0.848254:0.549542:0.662243:0.549542:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.662243:0.580553:0.669068:0.580553:0.669068:0.565516:0.662243:0.565516:0.000000
 :@0.669068:0.580447:0.672850:0.580447:0.672850:0.565384:0.669068:0.565384:0.000000
 :@0.672850:0.580249:0.691900:0.580249:0.691900:0.566876:0.672850:0.566876:0.000000:0.000000
R:@0.691900:0.579563:0.704600:0.579563:0.704600:0.567285:0.691900:0.567285:0.000000
 con   ≠ 0 es único.:@0.704600:0.580447:0.828645:0.580447:0.828645:0.565384:0.704600:0.565384:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.736772:0.580553:0.743597:0.580553:0.743597:0.565516:0.736772:0.565516:0.000000
Competencia :@0.684345:0.640764:0.781967:0.640764:0.781967:0.625292:0.684345:0.625292:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicacional:@0.684345:0.653332:0.796303:0.653332:0.796303:0.637860:0.684345:0.637860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprende esta simbología::@0.677773:0.677807:0.842042:0.677807:0.842042:0.662743:0.677773:0.662743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.638037:0.693451:0.652689:0.693451:0.652689:0.680077:0.638037:0.680077:0.000000
: pertenece a:@0.652689:0.693649:0.735079:0.693649:0.735079:0.678585:0.652689:0.678585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R:@0.638038:0.712170:0.650738:0.712170:0.650738:0.699893:0.638038:0.699893:0.000000
: conjunto de números reales:@0.650738:0.713055:0.838193:0.713055:0.838193:0.697992:0.650738:0.697992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
R :@0.638038:0.731577:0.655135:0.731577:0.655135:0.719299:0.638038:0.719299:0.000000:0.000000
– {0}: conjunto de números :@0.655135:0.732461:0.838351:0.732461:0.838351:0.717398:0.655135:0.717398:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales menos el cero.:@0.638038:0.748303:0.770522:0.748303:0.770522:0.733240:0.638038:0.733240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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 :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000