12:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.309031:0.068421:0.266205:0.056510:0.266205:0.056510:0.309031:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo está conformado :@0.079472:0.192000:0.247832:0.192000:0.247832:0.177101:0.079472:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el conjunto de los :@0.124721:0.207088:0.247832:0.207088:0.247832:0.192189:0.124721:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números reales?:@0.136062:0.222175:0.244165:0.222175:0.244165:0.207276:0.136062:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El conjunto de los números reales se simboliza con   y es la unión del conjunto :@0.287495:0.391120:0.907717:0.391120:0.907717:0.374731:0.287495:0.374731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.683262:0.391884:0.697172:0.391884:0.697172:0.373478:0.683262:0.373478:0.000000
de los números racionales ( ) y el conjunto de los números irracionales ( ’). :@0.287489:0.408477:0.852822:0.408471:0.852822:0.392082:0.287489:0.392088:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.487303:0.407731:0.503351:0.407731:0.503351:0.394285:0.487303:0.394285:0.000000
:@0.821443:0.407731:0.837491:0.407731:0.837491:0.394285:0.821443:0.394285:0.000000
Es decir.   = :@0.287499:0.436975:0.382835:0.436972:0.382835:0.420584:0.287499:0.420586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.349871:0.437737:0.363781:0.437737:0.363781:0.419331:0.349871:0.419331:0.000000
:@0.382835:0.436233:0.398883:0.436233:0.398883:0.422786:0.382835:0.422786:0.000000
:@0.402909:0.436985:0.418957:0.436985:0.418957:0.422338:0.402909:0.422338:0.000000
:@0.422984:0.436233:0.439032:0.436233:0.439032:0.422786:0.422984:0.422786:0.000000
’. :@0.439049:0.436972:0.447176:0.436972:0.447176:0.420584:0.439049:0.420584:0.000000:0.000000:0.000000
Propiedades:@0.287495:0.476858:0.414566:0.476858:0.414566:0.455348:0.287495:0.455348:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Adición. :@0.287495:0.499640:0.353890:0.499640:0.353890:0.483016:0.287495:0.483016:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sea :@0.353577:0.499640:0.383559:0.499640:0.383559:0.483251:0.353577:0.483251:0.000000:0.000000:0.000000:0.000000
+:@0.489422:0.499239:0.500405:0.499239:0.500405:0.482850:0.489422:0.482850:0.000000
. En este caso, se dice “la suma de números reales :@0.548364:0.499640:0.907732:0.499640:0.907732:0.483251:0.548364:0.483251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es cerrada o cumple con la propiedad clausurativa”.:@0.287502:0.516236:0.661707:0.516236:0.661707:0.499848:0.287502:0.499848:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la adición :@0.287495:0.548911:0.514537:0.548911:0.514537:0.530474:0.287495:0.530474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La adición de números reales cumple con las siguientes propiedades::@0.287495:0.572322:0.794598:0.572322:0.794598:0.555933:0.287495:0.555933:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.364617:0.604475:0.439751:0.604475:0.439751:0.589111:0.364617:0.589111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.676999:0.604475:0.743003:0.604475:0.743003:0.589111:0.676999:0.589111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.294441:0.627899:0.384751:0.627899:0.384751:0.612786:0.294441:0.612786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , :@0.521369:0.629345:0.602149:0.629345:0.602149:0.614446:0.521369:0.614446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.588781:0.629345:0.608950:0.629345:0.608950:0.614471:0.588781:0.614471:0.000000:0.000000:0.000000
 :@0.612619:0.629873:0.642857:0.629873:0.642857:0.613867:0.612619:0.613867:0.000000:0.000000:0.000000
,   +   =   +  . :@0.642857:0.629345:0.735163:0.629345:0.735163:0.614446:0.642857:0.614446:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.649441:0.629345:0.656226:0.629345:0.656226:0.614471:0.649441:0.614471:0.000000
y:@0.673548:0.629345:0.680349:0.629345:0.680349:0.614471:0.673548:0.614471:0.000000
y:@0.697671:0.629345:0.704473:0.629345:0.704473:0.614471:0.697671:0.614471:0.000000
x:@0.721795:0.629345:0.728579:0.629345:0.728579:0.614471:0.721795:0.614471:0.000000
Asociativa:@0.294441:0.651058:0.365387:0.651058:0.365387:0.635945:0.294441:0.635945:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , , :@0.521369:0.652504:0.614881:0.652504:0.614881:0.637605:0.521369:0.637605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y z:@0.588781:0.652504:0.621465:0.652504:0.621465:0.637630:0.588781:0.637630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.625133:0.653032:0.655371:0.653032:0.655371:0.637027:0.625133:0.637027:0.000000:0.000000:0.000000
,   + (  +  ) = ( +  ) + :@0.655371:0.652504:0.802441:0.652504:0.802441:0.637605:0.655371:0.637605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.661955:0.652504:0.668740:0.652504:0.668740:0.637630:0.661955:0.637630:0.000000
y  z:@0.694170:0.652504:0.724224:0.652504:0.724224:0.637630:0.694170:0.637630:0.000000:0.000000:0.000000:0.000000
x  y:@0.750424:0.652504:0.780679:0.652504:0.780679:0.637630:0.750424:0.637630:0.000000:0.000000:0.000000:0.000000
z.:@0.802441:0.652504:0.812057:0.652504:0.812057:0.637630:0.802441:0.637630:0.000000:0.000000
Existencia del elemento neutro:@0.294441:0.674218:0.509925:0.674218:0.509925:0.659105:0.294441:0.659105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo :@0.521369:0.675663:0.588781:0.675663:0.588781:0.660764:0.521369:0.660764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.588781:0.675663:0.598581:0.675663:0.598581:0.660790:0.588781:0.660790:0.000000:0.000000
 :@0.598581:0.676192:0.628819:0.676192:0.628819:0.660186:0.598581:0.660186:0.000000:0.000000:0.000000
, existe 0 :@0.628819:0.675663:0.689178:0.675663:0.689178:0.660764:0.628819:0.660764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.689178:0.676192:0.719416:0.676192:0.719416:0.660186:0.689178:0.660186:0.000000:0.000000:0.000000
, tal que   + 0 = 0 +   =  .:@0.719416:0.675663:0.884678:0.675663:0.884678:0.660764:0.719416:0.660764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.775771:0.675663:0.782556:0.675663:0.782556:0.660790:0.775771:0.660790:0.000000
x:@0.850872:0.675663:0.857657:0.675663:0.857657:0.660790:0.850872:0.660790:0.000000
x:@0.874979:0.675663:0.881763:0.675663:0.881763:0.660790:0.874979:0.660790:0.000000
Existencia de opuestos :@0.294441:0.695856:0.456385:0.695856:0.456385:0.680743:0.294441:0.680743:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivos:@0.294441:0.710943:0.349071:0.710943:0.349071:0.695831:0.294441:0.695831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada :@0.521369:0.704858:0.585547:0.704858:0.585547:0.689959:0.521369:0.689959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.585212:0.704858:0.594677:0.704858:0.594677:0.689984:0.585212:0.689984:0.000000:0.000000
 :@0.594326:0.705386:0.624229:0.705386:0.624229:0.689381:0.594326:0.689381:0.000000:0.000000:0.000000
, existe −:@0.623894:0.704858:0.679376:0.704858:0.679376:0.689959:0.623894:0.689959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.679041:0.704858:0.688506:0.704858:0.688506:0.689984:0.679041:0.689984:0.000000:0.000000
 :@0.687804:0.705386:0.717707:0.705386:0.717707:0.689381:0.687804:0.689381:0.000000:0.000000:0.000000
, tal que  + (− ) = −  +   = 0.:@0.717372:0.704858:0.898633:0.704858:0.898633:0.689959:0.717372:0.689959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.767043:0.704858:0.776508:0.704858:0.776508:0.689984:0.767043:0.689984:0.000000:0.000000
x:@0.805875:0.704858:0.812660:0.704858:0.812660:0.689984:0.805875:0.689984:0.000000
x x:@0.842378:0.704858:0.871913:0.704858:0.871913:0.689984:0.842378:0.689984:0.000000:0.000000:0.000000
Propiedades del producto :@0.287494:0.744459:0.516904:0.744459:0.516904:0.726022:0.287494:0.726022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El producto de números reales cumple con las siguientes propiedades::@0.287494:0.767869:0.805248:0.767869:0.805248:0.751480:0.287494:0.751480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.368771:0.800023:0.443906:0.800023:0.443906:0.784659:0.368771:0.784659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Notación:@0.681153:0.800023:0.747158:0.800023:0.747158:0.784659:0.681153:0.784659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.294441:0.823447:0.384751:0.823447:0.384751:0.808334:0.294441:0.808334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , :@0.531621:0.824893:0.612401:0.824893:0.612401:0.809994:0.531621:0.809994:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.599033:0.824893:0.619203:0.824893:0.619203:0.810019:0.599033:0.810019:0.000000:0.000000:0.000000
 :@0.622872:0.825421:0.653110:0.825421:0.653110:0.809415:0.622872:0.809415:0.000000:0.000000:0.000000
, :@0.653110:0.824893:0.659693:0.824893:0.659693:0.809994:0.653110:0.809994:0.000000:0.000000
xy = yx:@0.659693:0.824893:0.703064:0.824893:0.703064:0.810019:0.659693:0.810019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.703064:0.824893:0.705979:0.824893:0.705979:0.809994:0.703064:0.809994:0.000000
Asociativa:@0.294441:0.846606:0.365387:0.846606:0.365387:0.831493:0.294441:0.831493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  ,  , :@0.531621:0.848052:0.625787:0.848052:0.625787:0.833153:0.531621:0.833153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y z:@0.599033:0.848052:0.632370:0.848052:0.632370:0.833178:0.599033:0.833178:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.636039:0.848580:0.666277:0.848580:0.666277:0.832575:0.636039:0.832575:0.000000:0.000000:0.000000
,  ( ) = ( ):@0.666277:0.848052:0.741881:0.848052:0.741881:0.833153:0.666277:0.833153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x yz:@0.672861:0.848052:0.697470:0.848052:0.697470:0.833178:0.672861:0.833178:0.000000:0.000000:0.000000:0.000000
xy z.:@0.723671:0.848052:0.751497:0.848052:0.751497:0.833178:0.723671:0.833178:0.000000:0.000000:0.000000:0.000000:0.000000
Existencia del elemento unidad:@0.294441:0.869766:0.512472:0.869766:0.512472:0.854653:0.294441:0.854653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo:@0.531621:0.871212:0.595364:0.871212:0.595364:0.856312:0.531621:0.856312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 x:@0.595364:0.871212:0.605164:0.871212:0.605164:0.856338:0.595364:0.856338:0.000000:0.000000
 :@0.608833:0.871740:0.639071:0.871740:0.639071:0.855734:0.608833:0.855734:0.000000:0.000000:0.000000
, existe 1 :@0.639071:0.871212:0.699428:0.871212:0.699428:0.856312:0.639071:0.856312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.699428:0.871740:0.729667:0.871740:0.729667:0.855734:0.699428:0.855734:0.000000:0.000000:0.000000
, tal que   1 = 1   =  .:@0.729667:0.871212:0.883774:0.871212:0.883774:0.856312:0.729667:0.856312:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.786022:0.871212:0.792806:0.871212:0.792806:0.856338:0.786022:0.856338:0.000000
:@0.796309:0.871740:0.801888:0.871740:0.801888:0.855734:0.796309:0.855734:0.000000
:@0.841558:0.871740:0.847136:0.871740:0.847136:0.855734:0.841558:0.855734:0.000000
x:@0.850470:0.871212:0.857254:0.871212:0.857254:0.856338:0.850470:0.856338:0.000000
x:@0.874074:0.871212:0.880859:0.871212:0.880859:0.856338:0.874074:0.856338:0.000000
Existencia de opuestos :@0.294441:0.899262:0.456385:0.899262:0.456385:0.884149:0.294441:0.884149:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativos:@0.294441:0.911835:0.397165:0.911835:0.397165:0.896722:0.294441:0.896722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para cada :@0.531621:0.896370:0.598815:0.896370:0.598815:0.881471:0.531621:0.881471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.598815:0.896370:0.605600:0.896370:0.605600:0.881496:0.598815:0.881496:0.000000
 :@0.609269:0.896898:0.639507:0.896898:0.639507:0.880893:0.609269:0.880893:0.000000:0.000000:0.000000
, con :@0.639507:0.896370:0.675122:0.896370:0.675122:0.881471:0.639507:0.881471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.675122:0.896370:0.684923:0.896370:0.684923:0.881496:0.675122:0.881496:0.000000:0.000000
 :@0.684923:0.896898:0.703065:0.896898:0.703065:0.880893:0.684923:0.880893:0.000000:0.000000
0, existe :@0.703065:0.896370:0.759756:0.896370:0.759756:0.881471:0.703065:0.881471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.819580:0.896572:0.831554:0.896572:0.831554:0.882121:0.819580:0.882121:0.000000
=:@0.781467:0.897020:0.764185:0.897020:0.764185:0.883005:0.781467:0.883005:0.000000
∈:@0.807853:0.897020:0.790572:0.897020:0.790572:0.883005:0.807853:0.883005:0.000000
−:@0.768646:0.889877:0.773923:0.889877:0.773923:0.881754:0.768646:0.881754:0.000000
x:@0.760260:0.896410:0.766977:0.896410:0.766977:0.882557:0.760260:0.882557:0.000000
x:@0.796167:0.901588:0.802884:0.901588:0.802884:0.887734:0.796167:0.887734:0.000000
1:@0.796217:0.890560:0.804310:0.890560:0.804310:0.875810:0.796217:0.875810:0.000000
1:@0.773829:0.889523:0.778520:0.889523:0.778520:0.880975:0.773829:0.880975:0.000000
,:@0.832409:0.896385:0.835324:0.896385:0.835324:0.881486:0.832409:0.881486:0.000000
tal que  ∙ :@0.531636:0.911473:0.597792:0.911473:0.597792:0.896574:0.531636:0.896574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  x:@0.581408:0.911473:0.604576:0.911473:0.604576:0.896599:0.581408:0.896599:0.000000:0.000000:0.000000:0.000000
–1:@0.606245:0.905975:0.616871:0.905975:0.616871:0.897289:0.606245:0.897289:0.000000:0.000000
 = :@0.616871:0.911473:0.634193:0.911473:0.634193:0.896574:0.616871:0.896574:0.000000:0.000000:0.000000
x:@0.634193:0.911473:0.640978:0.911473:0.640978:0.896599:0.634193:0.896599:0.000000
–1:@0.642653:0.905975:0.653279:0.905975:0.653279:0.897289:0.642653:0.897289:0.000000:0.000000
∙ = 1.:@0.654256:0.911473:0.695064:0.911473:0.695064:0.896574:0.654256:0.896574:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x :@0.658846:0.911473:0.670321:0.911473:0.670321:0.896599:0.658846:0.896599:0.000000:0.000000
nidad de conocimientos:@0.306727:0.359953:0.480398:0.359953:0.480398:0.344588:0.306727:0.344588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.360739:0.297460:0.360739:0.297460:0.343603:0.284892:0.343603:0.000000
:@0.094760:0.108603:0.183816:0.108603:0.183816:0.011514:0.094760:0.011514:0.000000:0.000000
Propiedades de los números reales:@0.286308:0.075160:0.799038:0.075160:0.799038:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pienso y progreso:@0.294883:0.296387:0.417347:0.296387:0.417347:0.281023:0.294883:0.281023:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué crees que pasa cuando no se hace un presupuesto antes de realizar un viaje?:@0.294883:0.315039:0.844253:0.315039:0.844253:0.300140:0.294883:0.300140:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ana y su familia han decidido viajar desde Quito hasta Baños de Agua Santa, aproxi-:@0.287495:0.168248:0.903622:0.168248:0.903622:0.151859:0.287495:0.151859:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
madamente unos 180 kilómetros de distancia, y han elaborado un presupuesto.:@0.287495:0.184845:0.871869:0.184845:0.871869:0.168456:0.287495:0.168456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El automóvil de la familia consume 1 galón de gasolina por cada 12 kilómetros :@0.287495:0.208564:0.907639:0.208564:0.907639:0.192175:0.287495:0.192175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recorridos y el precio de la gasolina extra en Ecuador es de aproximadamente $2,60 :@0.287495:0.225160:0.907679:0.225160:0.907679:0.208771:0.287495:0.208771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por galón. Además, consideran otros gastos, como comida y peajes, que suman $40. :@0.287495:0.241756:0.907711:0.241756:0.907711:0.225367:0.287495:0.225367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el presupuesto total para realizar el viaje?:@0.287495:0.258353:0.650551:0.258353:0.650551:0.241964:0.287495:0.241964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140766:0.485691:0.140766:0.485691:0.125402:0.306727:0.125402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141552:0.297589:0.141552:0.297589:0.124416:0.284763:0.124416:0.000000
Una familia organizada viaja :@0.083474:0.398588:0.253995:0.398588:0.253995:0.385179:0.083474:0.385179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómoda y segura.:@0.144234:0.411160:0.250694:0.411160:0.250694:0.397751:0.144234:0.397751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y Tecnología:@0.068851:0.497520:0.244161:0.497520:0.244161:0.482156:0.068851:0.482156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las soluciones de :@0.127384:0.516166:0.247834:0.516166:0.247834:0.501267:0.127384:0.501267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
problemas matemáticos :@0.081918:0.531254:0.247832:0.531254:0.247832:0.516355:0.081918:0.516355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la vida real han servido :@0.071113:0.546341:0.247830:0.546341:0.247830:0.531442:0.071113:0.531442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y sirven, en forma directa :@0.076976:0.561429:0.247830:0.561429:0.247830:0.546530:0.076976:0.546530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o indirecta, para mejorar :@0.081683:0.576517:0.247834:0.576517:0.247834:0.561617:0.081683:0.561617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las condiciones de vida de :@0.068600:0.591604:0.247834:0.591604:0.247834:0.576705:0.068600:0.576705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los pueblos. Una parte de :@0.074078:0.606692:0.247830:0.606692:0.247830:0.591793:0.074078:0.591793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
esta se refleja en :@0.134386:0.621779:0.247832:0.621779:0.247832:0.606880:0.134386:0.606880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
maquinaria, equipos, :@0.105287:0.636867:0.247832:0.636867:0.247832:0.621968:0.105287:0.621968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
instrumentos, productos, :@0.077411:0.651955:0.247832:0.651955:0.247832:0.637056:0.077411:0.637056:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tecnología, y otra parte se :@0.071649:0.667042:0.247830:0.667042:0.247830:0.652143:0.071649:0.652143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muestra en la :@0.153853:0.682130:0.247834:0.682130:0.247834:0.667231:0.153853:0.667231:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
organización, :@0.155126:0.697217:0.247834:0.697217:0.247834:0.682318:0.155126:0.682318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
planificación y ejecución :@0.079673:0.712305:0.247834:0.712305:0.247834:0.697406:0.079673:0.697406:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de obras y proyectos de :@0.084582:0.727393:0.247832:0.727393:0.247832:0.712494:0.084582:0.712494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
desarrollo comunitario.:@0.090311:0.742480:0.244163:0.742480:0.244163:0.727581:0.090311:0.727581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.089535:0.468361:0.246742:0.468361:0.246742:0.451460:0.089535:0.451460:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.068421:0.806020:0.068421:0.763195:0.056510:0.763195:0.056510:0.806020:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Brazo robótico para embalaje:@0.074835:0.916072:0.250695:0.916072:0.250695:0.902662:0.074835:0.902662:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.1. :@0.295805:0.954519:0.343864:0.954519:0.343864:0.942228:0.295805:0.942228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar las propiedades algebraicas de los números reales en la resolución de productos notables y en la :@0.344058:0.954519:0.904123:0.954519:0.904123:0.942600:0.344058:0.942600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factorización de expresiones algebraicas.:@0.295805:0.965835:0.512496:0.965835:0.512496:0.953916:0.295805:0.953916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000