12:@0.035388:0.963884:0.056737:0.963884:0.056737:0.945447:0.035388:0.945447:0.000000:0.000000
El conjunto de los números reales :@0.305303:0.085249:0.795606:0.085249:0.795606:0.054520:0.305303:0.054520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.798273:0.085576:0.822463:0.085576:0.822463:0.056381:0.798273:0.056381:0.000000
Tema 1:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las calculadoras de bolsillo permiten representar los números (como por ejemplo :@0.305303:0.264456:0.907666:0.264456:0.907666:0.248786:0.305303:0.248786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 ) hasta con 9 o 10 cifras decimales, pero existen programas específicos que :@0.320432:0.283567:0.907609:0.282308:0.907609:0.266638:0.320432:0.267897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
permiten obtener  2 hasta con 32 cifras decimales.:@0.305303:0.301422:0.684601:0.301420:0.684601:0.285751:0.305303:0.285752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para comenzar este tema, es necesario precisar algunas nociones básicas. :@0.305308:0.325139:0.844698:0.325139:0.844698:0.309470:0.305308:0.309470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El signo:@0.305308:0.348858:0.364645:0.348858:0.364645:0.333189:0.305308:0.333189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.364645:0.351375:0.368681:0.351375:0.368681:0.335706:0.364645:0.335706:0.000000
ℝ:@0.371205:0.349439:0.384510:0.349439:0.384510:0.331833:0.371205:0.331833:0.000000
 representa al conjunto de los números reales. Para indicar que   es :@0.384510:0.348858:0.907579:0.348858:0.907579:0.333189:0.384510:0.333189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.873709:0.348858:0.881172:0.348858:0.881172:0.332497:0.873709:0.332497:0.000000
un  número  real,  escribiremos   :@0.305290:0.365455:0.545273:0.365455:0.545273:0.349785:0.305290:0.349785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.533774:0.365455:0.541237:0.365455:0.541237:0.349093:0.533774:0.349093:0.000000
∈  ℝ:@0.548037:0.366036:0.584465:0.366036:0.584465:0.348430:0.548037:0.348430:0.000000:0.000000:0.000000:0.000000
  y  para  expresar  su  negación,  empleamos :@0.584465:0.365455:0.907660:0.365455:0.907660:0.349785:0.584465:0.349785:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.305290:0.382051:0.312753:0.382051:0.312753:0.365690:0.305290:0.365690:0.000000
 :@0.312753:0.382051:0.316789:0.382051:0.316789:0.366381:0.312753:0.366381:0.000000
∉ ℝ:@0.316789:0.382632:0.350051:0.382632:0.350051:0.365026:0.316789:0.365026:0.000000:0.000000:0.000000
 que se lee “  no es un número real”. :@0.350051:0.382051:0.614703:0.382051:0.614703:0.366381:0.350051:0.366381:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.436272:0.382051:0.443735:0.382051:0.443735:0.365690:0.436272:0.365690:0.000000
Sean  ,  :@0.305290:0.405770:0.370653:0.405770:0.370653:0.390100:0.305290:0.390100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x  y:@0.345149:0.405770:0.366617:0.405770:0.366617:0.389409:0.345149:0.389409:0.000000:0.000000:0.000000:0.000000
∈ ℝ:@0.370653:0.406351:0.403915:0.406351:0.403915:0.388745:0.370653:0.388745:0.000000:0.000000:0.000000
. Para indicar su igualdad se escribirá   =  . Su negación será   :@0.403915:0.405770:0.855701:0.405770:0.855701:0.390100:0.403915:0.390100:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.673949:0.405770:0.681413:0.405770:0.681413:0.389409:0.673949:0.389409:0.000000
y:@0.700467:0.405770:0.707948:0.405770:0.707948:0.389409:0.700467:0.389409:0.000000
x:@0.844202:0.405770:0.851666:0.405770:0.851666:0.389409:0.844202:0.389409:0.000000
≠ :@0.855701:0.406351:0.875658:0.406351:0.875658:0.388745:0.855701:0.388745:0.000000:0.000000
y.:@0.875658:0.405770:0.885812:0.405770:0.885812:0.389409:0.875658:0.389409:0.000000:0.000000
 :@0.885797:0.405770:0.889833:0.405770:0.889833:0.390100:0.885797:0.390100:0.000000
A continuación, analicemos la clasificación de los números reales.:@0.305290:0.429489:0.783223:0.429489:0.783223:0.413819:0.305290:0.413819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de números :@0.312927:0.458037:0.490853:0.458037:0.490853:0.441413:0.312927:0.441413:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales:@0.312927:0.474634:0.383910:0.474634:0.383910:0.458010:0.312927:0.458010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.383910:0.477151:0.387725:0.477151:0.387725:0.460250:0.383910:0.460250:0.000000
ℕ:@0.387725:0.475215:0.402062:0.475215:0.402062:0.457609:0.387725:0.457609:0.000000
.:@0.402062:0.474634:0.405268:0.474634:0.405268:0.458964:0.402062:0.458964:0.000000
{:@0.529561:0.472926:0.538406:0.472926:0.538406:0.450345:0.529561:0.450345:0.000000
}:@0.598609:0.472926:0.607454:0.472926:0.607454:0.450345:0.598609:0.450345:0.000000
=:@0.517677:0.469179:0.527793:0.469179:0.527793:0.453607:0.517677:0.453607:0.000000
:@0.501187:0.468682:0.514492:0.468682:0.514492:0.452625:0.501187:0.452625:0.000000
1, 2 ,3,...:@0.538304:0.468502:0.598839:0.468502:0.598839:0.452832:0.538304:0.452832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de números :@0.312916:0.582477:0.490842:0.582477:0.490842:0.565853:0.312916:0.565853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros :@0.312916:0.599074:0.374685:0.599074:0.374685:0.582450:0.312916:0.582450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℤ:@0.374685:0.599655:0.386976:0.599655:0.386976:0.582049:0.374685:0.582049:0.000000
.:@0.386976:0.599074:0.390183:0.599074:0.390183:0.583404:0.386976:0.583404:0.000000
Se designa con :@0.501172:0.506494:0.616564:0.506494:0.616564:0.490824:0.501172:0.490824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.619563:0.506672:0.631854:0.506672:0.631854:0.490615:0.619563:0.490615:0.000000
+:@0.632337:0.499223:0.638200:0.499223:0.638200:0.490198:0.632337:0.490198:0.000000
al conjunto de los enteros :@0.641706:0.506492:0.835838:0.506492:0.835838:0.490823:0.641706:0.490823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
positivos y se define como: :@0.501177:0.525606:0.703218:0.525606:0.703218:0.509936:0.501177:0.509936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.706208:0.526305:0.718499:0.526305:0.718499:0.510248:0.706208:0.510248:0.000000
:@0.779034:0.526305:0.792339:0.526305:0.792339:0.510248:0.779034:0.510248:0.000000
{:@0.740812:0.528569:0.749657:0.528569:0.749657:0.510193:0.740812:0.510193:0.000000
}:@0.835309:0.528569:0.844154:0.528569:0.844154:0.510193:0.835309:0.510193:0.000000
=:@0.728928:0.526803:0.739045:0.526803:0.739045:0.511230:0.728928:0.511230:0.000000
∈:@0.762540:0.526803:0.775679:0.526803:0.775679:0.511230:0.762540:0.511230:0.000000
≥:@0.818136:0.526803:0.828253:0.526803:0.828253:0.511230:0.818136:0.511230:0.000000
+:@0.718563:0.518857:0.724426:0.518857:0.724426:0.509832:0.718563:0.509832:0.000000
n:@0.747756:0.526125:0.757633:0.526125:0.762226:0.510455:0.752349:0.510455:0.000000
n:@0.803721:0.526125:0.813598:0.526125:0.818191:0.510455:0.808314:0.510455:0.000000
/:@0.796095:0.526125:0.802563:0.526125:0.802563:0.510455:0.796095:0.510455:0.000000
1 . :@0.829652:0.526125:0.849654:0.525603:0.849654:0.509934:0.829652:0.510455:0.000000:0.000000:0.000000:0.000000
{:@0.538775:0.547692:0.547620:0.547692:0.547620:0.525111:0.538775:0.525111:0.000000
}:@0.607049:0.547692:0.615894:0.547692:0.615894:0.525111:0.607049:0.525111:0.000000
=:@0.526891:0.543945:0.537007:0.543945:0.537007:0.528372:0.526891:0.528372:0.000000
+:@0.516526:0.535999:0.522389:0.535999:0.522389:0.526974:0.516526:0.526974:0.000000
:@0.504171:0.543447:0.516462:0.543447:0.516462:0.527390:0.504171:0.527390:0.000000
1, 2, 3,... .:@0.546370:0.543267:0.619362:0.543267:0.619362:0.527597:0.546370:0.527597:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se designa con :@0.501186:0.572200:0.616578:0.572200:0.616578:0.556530:0.501186:0.556530:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.619563:0.572377:0.631854:0.572377:0.631854:0.556320:0.619563:0.556320:0.000000
−:@0.632337:0.564928:0.638200:0.564928:0.638200:0.555903:0.632337:0.555903:0.000000
al conjunto de los enteros :@0.641706:0.572198:0.835838:0.572198:0.835838:0.556528:0.641706:0.556528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
negativos y se define como: :@0.501177:0.591311:0.709723:0.591311:0.709723:0.575641:0.501177:0.575641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{:@0.747119:0.594334:0.755964:0.594334:0.755964:0.572532:0.747119:0.572532:0.000000
}:@0.856119:0.594334:0.864964:0.594334:0.864964:0.572532:0.856119:0.572532:0.000000
=−:@0.733717:0.591639:0.766353:0.591639:0.766353:0.576066:0.733717:0.576066:0.000000:0.000000
∈<:@0.802821:0.591639:0.843675:0.591639:0.843675:0.576066:0.802821:0.576066:0.000000:0.000000
−:@0.721977:0.583702:0.727840:0.583702:0.727840:0.574677:0.721977:0.574677:0.000000
n/n:@0.767537:0.590962:0.800395:0.590962:0.800395:0.575292:0.767537:0.575292:0.000000:0.000000:0.000000
0:@0.846999:0.590962:0.855991:0.590962:0.855991:0.575292:0.846999:0.575292:0.000000
:@0.504513:0.610846:0.516804:0.610846:0.516804:0.594789:0.504513:0.594789:0.000000
{:@0.541422:0.613215:0.550267:0.613215:0.550267:0.592815:0.541422:0.592815:0.000000
}:@0.626649:0.613215:0.635495:0.613215:0.635495:0.592815:0.626649:0.592815:0.000000
=:@0.528438:0.611344:0.538555:0.611344:0.538555:0.595771:0.528438:0.595771:0.000000
− −−:@0.563414:0.611344:0.621166:0.611344:0.621166:0.595771:0.563414:0.595771:0.000000:0.000000:0.000000:0.000000
−:@0.517286:0.603398:0.523150:0.603398:0.523150:0.594373:0.517286:0.594373:0.000000
..., 3, 2, 1.:@0.549379:0.610666:0.638962:0.610666:0.638962:0.594996:0.549379:0.594996:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Luego, el conjunto de los números enteros está :@0.501187:0.634144:0.852836:0.634144:0.852836:0.618474:0.501187:0.618474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
formado por: :@0.501187:0.650740:0.601413:0.650740:0.601413:0.635070:0.501187:0.635070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.504171:0.677109:0.545578:0.677109:0.545578:0.661052:0.504171:0.661052:0.000000:0.000000
:@0.616616:0.677109:0.628908:0.677109:0.628908:0.661052:0.616616:0.661052:0.000000
{}:@0.572228:0.679479:0.598192:0.679479:0.598192:0.659078:0.572228:0.659078:0.000000:0.000000
=:@0.519509:0.677607:0.529626:0.677607:0.529626:0.662034:0.519509:0.662034:0.000000
∪:@0.556309:0.677607:0.570462:0.677607:0.570462:0.662034:0.556309:0.662034:0.000000
∪:@0.599928:0.677607:0.614080:0.677607:0.614080:0.662034:0.599928:0.662034:0.000000
−:@0.546052:0.669661:0.551915:0.669661:0.551915:0.660636:0.546052:0.660636:0.000000
+:@0.629396:0.669661:0.635259:0.669661:0.635259:0.660636:0.629396:0.660636:0.000000
0:@0.580604:0.676930:0.589596:0.676930:0.589596:0.661260:0.580604:0.661260:0.000000
.:@0.637048:0.676930:0.640254:0.676930:0.640254:0.661260:0.637048:0.661260:0.000000
 :@0.643583:0.682296:0.647618:0.682296:0.647618:0.666626:0.643583:0.666626:0.000000
{:@0.675886:0.681054:0.684732:0.681054:0.684732:0.658473:0.675886:0.658473:0.000000
}:@0.874407:0.681054:0.883253:0.681054:0.883253:0.658473:0.874407:0.658473:0.000000
=:@0.664002:0.677307:0.674119:0.677307:0.674119:0.661734:0.664002:0.661734:0.000000
−:@0.704893:0.677307:0.715010:0.677307:0.715010:0.661734:0.704893:0.661734:0.000000
−:@0.735151:0.677307:0.745268:0.677307:0.745268:0.661734:0.735151:0.661734:0.000000
−:@0.765833:0.677307:0.775950:0.677307:0.775950:0.661734:0.765833:0.661734:0.000000
:@0.649039:0.676809:0.661330:0.676809:0.661330:0.660752:0.649039:0.660752:0.000000
..., 3, 2, 1, 0, 1, 2, 3,... .:@0.684217:0.676629:0.886719:0.676629:0.886719:0.660959:0.684217:0.660959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conjunto  de números :@0.312937:0.706931:0.490863:0.706931:0.490863:0.690307:0.312937:0.690307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racionales:@0.312937:0.723528:0.390426:0.723528:0.390426:0.706904:0.312937:0.706904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  . :@0.390426:0.723528:0.417053:0.723528:0.417053:0.707858:0.390426:0.707858:0.000000:0.000000:0.000000:0.000000
ℚ:@0.394461:0.724109:0.409811:0.724109:0.409811:0.706503:0.394461:0.706503:0.000000
Se define como:  :@0.501194:0.717124:0.627737:0.717124:0.627737:0.701455:0.501194:0.701455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.630710:0.716972:0.645047:0.716972:0.645047:0.700915:0.630710:0.700915:0.000000
=:@0.648253:0.717387:0.658370:0.717387:0.658370:0.699366:0.648253:0.699366:0.000000
a:@0.673278:0.707913:0.682547:0.707913:0.682547:0.691552:0.673278:0.691552:0.000000
b:@0.673075:0.727248:0.682344:0.727248:0.682344:0.710887:0.673075:0.710887:0.000000
/ ,:@0.687249:0.716792:0.709823:0.716792:0.709823:0.700403:0.687249:0.700403:0.000000:0.000000:0.000000
a b:@0.696721:0.716792:0.722631:0.716792:0.722631:0.700431:0.696721:0.700431:0.000000:0.000000:0.000000
∈:@0.726242:0.717387:0.739381:0.717387:0.739381:0.699366:0.726242:0.699366:0.000000
\:@0.742311:0.716972:0.754603:0.716972:0.754603:0.700915:0.742311:0.700915:0.000000
 con b  0 .:@0.755303:0.716792:0.844806:0.716792:0.844806:0.700403:0.755303:0.700403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠ ⎬:@0.804173:0.717387:0.841378:0.719545:0.841378:0.701524:0.804173:0.699366:0.000000:0.000000:0.000000
⎧:@0.662243:0.709684:0.671346:0.709684:0.671346:0.691663:0.662243:0.691663:0.000000
⎨:@0.662243:0.719545:0.671346:0.719545:0.671346:0.701524:0.662243:0.701524:0.000000
⎩:@0.662243:0.729406:0.671346:0.729406:0.671346:0.711385:0.662243:0.711385:0.000000
⎫:@0.832275:0.709684:0.841378:0.709684:0.841378:0.691663:0.832275:0.691663:0.000000
⎭:@0.832275:0.729406:0.841378:0.729406:0.841378:0.711385:0.832275:0.711385:0.000000
Conjunto  de números :@0.312927:0.767683:0.490853:0.767683:0.490853:0.751059:0.312927:0.751059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales:@0.312927:0.784279:0.400827:0.784279:0.400827:0.767655:0.312927:0.767655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  '.  :@0.400827:0.784279:0.437377:0.784279:0.437377:0.768609:0.400827:0.768609:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.407846:0.783202:0.422183:0.783202:0.422183:0.767145:0.407846:0.767145:0.000000
En forma conjuntista, se define como el :@0.501192:0.748154:0.794745:0.748154:0.794745:0.732485:0.501192:0.732485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de números reales menos el :@0.501192:0.764751:0.782544:0.764751:0.782544:0.749081:0.501192:0.749081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto de números racionales.  \  .:@0.501192:0.781347:0.792345:0.781347:0.792345:0.765677:0.501192:0.765677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ  ℚ:@0.745429:0.781928:0.789139:0.781928:0.789139:0.764322:0.745429:0.764322:0.000000:0.000000:0.000000:0.000000
 :@0.792349:0.778830:0.796385:0.778830:0.796385:0.763160:0.792349:0.763160:0.000000
Conjunto  de números :@0.312927:0.834520:0.490853:0.834520:0.490853:0.817896:0.312927:0.817896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales :@0.312927:0.851116:0.361668:0.851116:0.361668:0.834492:0.312927:0.834492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℝ:@0.361668:0.851697:0.374973:0.851697:0.374973:0.834091:0.361668:0.834091:0.000000
.:@0.374973:0.851116:0.378180:0.851116:0.378180:0.835446:0.374973:0.835446:0.000000
Se define en forma de conjunto como::@0.501184:0.828434:0.783842:0.828434:0.783842:0.812765:0.501184:0.812765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.504171:0.851087:0.549134:0.851087:0.549134:0.835030:0.504171:0.835030:0.000000:0.000000
:@0.568244:0.851087:0.582581:0.851087:0.582581:0.835030:0.568244:0.835030:0.000000
=:@0.521027:0.851585:0.531144:0.851585:0.531144:0.836012:0.521027:0.836012:0.000000
∪:@0.551543:0.851585:0.565696:0.851585:0.565696:0.836012:0.551543:0.836012:0.000000
'.:@0.583535:0.850907:0.590519:0.850907:0.590519:0.835238:0.583535:0.835238:0.000000:0.000000
El conjunto de números :@0.106213:0.521047:0.269933:0.521047:0.269933:0.506802:0.106213:0.506802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
reales es mucho más :@0.106213:0.536135:0.249228:0.536135:0.249228:0.521889:0.106213:0.521889:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grande que el conjunto :@0.106213:0.551222:0.267219:0.551222:0.267219:0.536977:0.106213:0.536977:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los números enteros :@0.106213:0.566310:0.266700:0.566310:0.266700:0.552065:0.106213:0.552065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y que el conjunto de los :@0.106213:0.581397:0.270134:0.581397:0.270134:0.567152:0.106213:0.567152:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números racionales  . :@0.106213:0.596485:0.260670:0.596485:0.260670:0.582240:0.106213:0.582240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ℚ:@0.240132:0.597013:0.254087:0.597013:0.254087:0.581008:0.240132:0.581008:0.000000
De tal manera que::@0.106213:0.611573:0.232610:0.611573:0.232610:0.597327:0.106213:0.597327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.232610:0.615344:0.236279:0.615344:0.236279:0.601099:0.232610:0.601099:0.000000
ℕ⊂ℤ⊂ℚ⊂ℝ:@0.106213:0.627188:0.198335:0.627188:0.198335:0.611183:0.106213:0.611183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.198335:0.626660:0.201250:0.626660:0.201250:0.612415:0.198335:0.612415:0.000000
¿Sabías que?:@0.138784:0.496536:0.240652:0.496536:0.240652:0.479635:0.138784:0.479635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⊂:@0.105728:0.706916:0.119683:0.706916:0.119683:0.690911:0.105728:0.690911:0.000000
: subconjunto:@0.119683:0.706388:0.211468:0.706388:0.211468:0.692143:0.119683:0.692143:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∪:@0.105728:0.729133:0.119683:0.729133:0.119683:0.713127:0.105728:0.713127:0.000000
: unión:@0.119683:0.728605:0.165534:0.728605:0.165534:0.714359:0.119683:0.714359:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
/: tal que:@0.105728:0.750821:0.164295:0.750821:0.164295:0.736576:0.105728:0.736576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
\: diferencia:@0.105728:0.773038:0.183460:0.773038:0.183460:0.758792:0.105728:0.758792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.105728:0.795782:0.119683:0.795782:0.119683:0.779777:0.105728:0.779777:0.000000
: pertenece a:@0.119683:0.795254:0.206191:0.795254:0.206191:0.781009:0.119683:0.781009:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≠:@0.105728:0.817999:0.119683:0.817999:0.119683:0.801993:0.105728:0.801993:0.000000
: no es igual a:@0.119683:0.817471:0.209811:0.817471:0.209811:0.803225:0.119683:0.803225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
≈:@0.105728:0.840215:0.119683:0.840215:0.119683:0.824210:0.105728:0.824210:0.000000
: aproximado a:@0.119683:0.839687:0.217969:0.839687:0.217969:0.825442:0.119683:0.825442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología matemática:@0.100158:0.678974:0.270761:0.678974:0.270761:0.662073:0.100158:0.662073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sean los números :@0.311726:0.165911:0.445840:0.165911:0.445840:0.150241:0.311726:0.150241:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.459605:0.166575:0.469721:0.166575:0.469721:0.151002:0.459605:0.151002:0.000000
2:@0.484685:0.165897:0.493677:0.165897:0.493677:0.150227:0.484685:0.150227:0.000000
+:@0.496408:0.166575:0.506525:0.166575:0.506525:0.151002:0.496408:0.151002:0.000000
3;       2   32:@0.520751:0.165897:0.647278:0.165897:0.647278:0.150227:0.520751:0.150227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.546289:0.165869:0.556461:0.165869:0.561681:0.150200:0.551509:0.150200:0.000000
=:@0.566868:0.166575:0.576985:0.166575:0.576985:0.151002:0.566868:0.151002:0.000000
+:@0.600278:0.166575:0.610395:0.166575:0.610395:0.151002:0.600278:0.151002:0.000000
a:@0.449139:0.165780:0.458198:0.165780:0.458198:0.149777:0.449139:0.149777:0.000000
.:@0.649109:0.165906:0.652316:0.165906:0.652316:0.150236:0.649109:0.150236:0.000000
¿A qué conjunto de números pertenecen los números formados en   y  ?:@0.311718:0.189625:0.852248:0.189625:0.852248:0.173955:0.311718:0.173955:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.810510:0.189625:0.845227:0.189625:0.845227:0.173264:0.810510:0.173264:0.000000:0.000000:0.000000
Desequilibrio cognitivo:@0.344931:0.135365:0.522686:0.135365:0.522686:0.118464:0.344931:0.118464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 620060825.:@0.085041:0.434144:0.085041:0.358865:0.073653:0.358865:0.073653:0.434144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Archivo Editorial:@0.838477:0.871389:0.903639:0.871389:0.903639:0.862842:0.838477:0.862842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El trabajo en grupo es :@0.105806:0.171265:0.255034:0.171265:0.255034:0.157019:0.105806:0.157019:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
muy importante para :@0.105806:0.186352:0.251919:0.186352:0.251919:0.172107:0.105806:0.172107:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lograr objetivos y tu :@0.105806:0.201440:0.242018:0.201440:0.242018:0.187195:0.105806:0.187195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aporte es fundamental. :@0.105806:0.216527:0.264397:0.216527:0.264397:0.202282:0.105806:0.202282:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresa:@0.105806:0.231615:0.159749:0.231615:0.159749:0.216502:0.105806:0.216502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 tu opinión y :@0.159749:0.231615:0.247900:0.231615:0.247900:0.217370:0.159749:0.217370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
criterios de una forma :@0.105806:0.246703:0.255586:0.246703:0.255586:0.232457:0.105806:0.232457:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
apropiada.:@0.105806:0.261790:0.176317:0.261790:0.176317:0.247545:0.105806:0.247545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia  :@0.136141:0.134280:0.247167:0.134280:0.247167:0.117379:0.136141:0.117379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.136141:0.148110:0.258758:0.148110:0.258758:0.131209:0.136141:0.131209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.28. :@0.096359:0.909408:0.144696:0.909408:0.144696:0.898653:0.096359:0.898653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer el conjunto de los números reales R e identificar sus elementos.:@0.144696:0.909408:0.492187:0.909408:0.492187:0.899437:0.144696:0.899437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.29.:@0.096359:0.918209:0.142269:0.918209:0.142269:0.907454:0.096359:0.907454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Aproximar números reales a números decimales para resolver problemas.:@0.142269:0.918209:0.485949:0.918209:0.485949:0.908238:0.142269:0.908238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.30. :@0.096359:0.927011:0.144696:0.927011:0.144696:0.916256:0.096359:0.916256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Establecer relaciones de orden en un conjunto de números reales utilizando la recta numérica y la simbología matemática (=, <, ≤, >, ≥).:@0.144696:0.927011:0.777497:0.927011:0.777497:0.917039:0.144696:0.917039:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.31.:@0.096359:0.935812:0.142269:0.935812:0.142269:0.925057:0.096359:0.925057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Calcular adiciones y multiplicaciones con números reales y con términos algebraicos aplicando propiedades en R (propiedad distributiva de la suma con respecto :@0.142269:0.935812:0.906180:0.935812:0.906180:0.925840:0.142269:0.925840:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
al producto).:@0.096359:0.944613:0.155683:0.944613:0.155683:0.934641:0.096359:0.934641:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al conjunto de los números reales.:@0.317172:0.212449:0.477638:0.212449:0.477638:0.202477:0.317172:0.202477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000