22:@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
9.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Números irracionales:@0.286308:0.079033:0.654914:0.079033:0.654914:0.042159:0.286308:0.042159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.183816:0.108604:0.183816:0.011516:0.094760:0.011516:0.000000:0.000000
Los números irracionales surgen de situaciones en las que las medidas no se pueden :@0.287495:0.153866:0.907751:0.153866:0.907751:0.137477:0.287495:0.137477:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresar como fracciones. Por ejemplo la raíz cuadrada de un número que no es :@0.287495:0.170462:0.907714:0.170462:0.907714:0.154073:0.287495:0.154073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuadrado exacto o el famoso número  , que tiene infinito número de cifras :@0.287495:0.187059:0.907674:0.187059:0.907674:0.170670:0.287495:0.170670:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pi:@0.598624:0.187059:0.611689:0.187059:0.611689:0.170697:0.598624:0.170697:0.000000:0.000000
decimales.:@0.287495:0.203655:0.364705:0.203655:0.364705:0.187266:0.287495:0.187266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Veamos un ejemplo práctico.:@0.287495:0.227374:0.500865:0.227374:0.500865:0.210985:0.287495:0.210985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A una pantalla de computadora de 19 pulgadas se le va a colocar un protector de :@0.287495:0.251093:0.907585:0.251093:0.907585:0.234704:0.287495:0.234704:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 pulgadas de ancho y 13 pulgadas de altura. ¿Cuál es la medida exacta de su :@0.287495:0.267689:0.907772:0.267689:0.907772:0.251301:0.287495:0.251301:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diagonal?:@0.287495:0.284286:0.358737:0.284286:0.358737:0.267897:0.287495:0.267897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El protector de pantalla tiene una forma rectangular. Entre los lados que representan :@0.287495:0.308005:0.907746:0.308005:0.907746:0.291616:0.287495:0.291616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el largo, la altura y la diagonal se forma un triángulo rectángulo cuya hipotenusa es :@0.287495:0.324601:0.907768:0.324601:0.907768:0.308212:0.287495:0.308212:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diagonal que buscamos. Por lo tanto, debemos aplicar el teorema de Pitágoras.:@0.287495:0.341198:0.881431:0.341198:0.881431:0.324809:0.287495:0.324809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.309486:0.373109:0.319603:0.373109:0.319603:0.357536:0.309486:0.357536:0.000000
+:@0.362042:0.373109:0.372159:0.373109:0.372159:0.357536:0.362042:0.357536:0.000000
=:@0.309486:0.396842:0.319603:0.396842:0.319603:0.381269:0.309486:0.381269:0.000000
+:@0.364714:0.396842:0.374831:0.396842:0.374831:0.381269:0.364714:0.381269:0.000000
=:@0.309486:0.420575:0.319603:0.420575:0.319603:0.405002:0.309486:0.405002:0.000000
D:@0.294148:0.372431:0.305684:0.372431:0.305684:0.356070:0.294148:0.356070:0.000000
D:@0.294148:0.396164:0.305684:0.396164:0.305684:0.379803:0.294148:0.379803:0.000000
D:@0.294148:0.419895:0.305684:0.419895:0.305684:0.403533:0.294148:0.403533:0.000000
16:@0.334250:0.372431:0.352032:0.372431:0.352032:0.356042:0.334250:0.356042:0.000000:0.000000
13:@0.373777:0.372431:0.391560:0.372431:0.391560:0.356042:0.373777:0.356042:0.000000:0.000000
256 169:@0.335411:0.396164:0.403022:0.396164:0.403022:0.379775:0.335411:0.379775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
425:@0.336134:0.419895:0.362707:0.419895:0.362707:0.403506:0.336134:0.403506:0.000000:0.000000:0.000000
2:@0.352520:0.364769:0.357732:0.364769:0.357732:0.355271:0.352520:0.355271:0.000000
2:@0.391255:0.364769:0.396467:0.364769:0.396467:0.355271:0.391255:0.355271:0.000000
El número 425 no es un cuadrado perfecto; por lo tanto, usamos una calculadora :@0.287495:0.458240:0.907692:0.458240:0.907692:0.441851:0.287495:0.441851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para obtener el valor exacto. En ella observamos que el resultado es::@0.287495:0.474836:0.786564:0.474836:0.786564:0.458447:0.287495:0.458447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.305451:0.509089:0.315567:0.509089:0.315567:0.493516:0.305451:0.493516:0.000000
D:@0.290119:0.508411:0.301655:0.508411:0.301655:0.492050:0.290119:0.492050:0.000000
517  = 20,615 528 13…:@0.318866:0.508411:0.499892:0.508411:0.499892:0.492022:0.318866:0.492022:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El número obtenido muestra un número decimal que no sigue un patrón; por lo tan-:@0.287495:0.535698:0.903717:0.535698:0.903717:0.519309:0.287495:0.519309:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
to, no se puede convertir en fracción.:@0.287495:0.552295:0.559686:0.552295:0.559686:0.535906:0.287495:0.535906:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número irracional (Q') es aquel que no puede expresarse como el cociente :@0.296992:0.583254:0.898155:0.583254:0.898155:0.566865:0.296992:0.566865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exacto de dos números enteros. :@0.296992:0.599851:0.535700:0.599851:0.535700:0.583462:0.296992:0.583462:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números irracionales tienen cifras decimales que no se repiten :@0.296992:0.623570:0.898157:0.623570:0.898157:0.607181:0.296992:0.607181:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
periódicamente.:@0.296992:0.640166:0.417231:0.640166:0.417231:0.623777:0.296992:0.623777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos::@0.287502:0.673331:0.357859:0.673331:0.357859:0.656693:0.287502:0.656693:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clasifica los números en: enteros, racionales o irracionales.:@0.287502:0.697050:0.710466:0.697050:0.710466:0.680661:0.287502:0.680661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.375549:0.765201:0.383676:0.765201:0.383676:0.749144:0.375549:0.749144:0.000000
e:@0.626083:0.752212:0.635021:0.752212:0.639825:0.735823:0.630887:0.735823:0.000000
1,333...:@0.349270:0.725730:0.395947:0.725730:0.395947:0.709342:0.349270:0.709342:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17:@0.604953:0.725730:0.622736:0.725730:0.622736:0.709342:0.604953:0.709342:0.000000:0.000000
2,236067977499:@0.353048:0.752216:0.472440:0.752216:0.472440:0.735827:0.353048:0.735827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
32 ):@0.603276:0.752216:0.643027:0.752212:0.643027:0.735823:0.603276:0.735827:0.000000:0.000000:0.000000:0.000000
2,41:@0.350421:0.775943:0.384954:0.775943:0.384954:0.759554:0.350421:0.759554:0.000000:0.000000:0.000000:0.000000
26:@0.601331:0.775943:0.619114:0.775943:0.619114:0.759554:0.601331:0.759554:0.000000:0.000000
3:@0.595686:0.718894:0.600898:0.718894:0.600898:0.709396:0.595686:0.709396:0.000000
5:@0.592856:0.745377:0.598067:0.745377:0.598067:0.735879:0.592856:0.735879:0.000000
a):@0.328487:0.724979:0.343395:0.724979:0.343395:0.708078:0.328487:0.708078:0.000000:0.000000
c):@0.328487:0.752224:0.342308:0.752224:0.342308:0.735324:0.328487:0.735324:0.000000:0.000000
e):@0.328487:0.776953:0.343542:0.776953:0.343542:0.760052:0.328487:0.760052:0.000000:0.000000
b):@0.570184:0.724979:0.586400:0.724979:0.586400:0.708078:0.570184:0.708078:0.000000:0.000000
d):@0.570184:0.748698:0.586437:0.748698:0.586437:0.731797:0.570184:0.731797:0.000000:0.000000
f):@0.570184:0.772417:0.583194:0.772417:0.583194:0.755516:0.570184:0.755516:0.000000:0.000000
Enteros :@0.312843:0.822896:0.366418:0.822896:0.366418:0.807997:0.312843:0.807997:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.773935:0.825298:0.783040:0.825298:0.783040:0.811282:0.773935:0.811282:0.000000
32 2:@0.754331:0.824688:0.793422:0.824688:0.793422:0.809938:0.754331:0.809938:0.000000:0.000000:0.000000:0.000000
5:@0.744958:0.818535:0.749649:0.818535:0.749649:0.809986:0.744958:0.809986:0.000000
Racionales: se pueden convertir en fracción:@0.312843:0.846582:0.601802:0.846582:0.601802:0.831683:0.312843:0.831683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.802486:0.837573:0.809800:0.837573:0.809800:0.823122:0.802486:0.823122:0.000000
1,333...y2,41:@0.724698:0.847242:0.810956:0.847242:0.810956:0.832492:0.724698:0.832492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Irracionales: no se puede obtener una fracción:@0.312843:0.889848:0.613951:0.889848:0.613951:0.874949:0.312843:0.874949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
17:@0.718305:0.869724:0.735587:0.869724:0.735587:0.853797:0.718305:0.853797:0.000000:0.000000
2,236 067 977 499:@0.705232:0.889884:0.830572:0.889884:0.830572:0.873957:0.705232:0.873957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
26:@0.716868:0.912948:0.734149:0.912948:0.734149:0.897021:0.716868:0.897021:0.000000:0.000000
3:@0.709299:0.863080:0.714364:0.863080:0.714364:0.853850:0.709299:0.853850:0.000000
Solución:@0.305302:0.798059:0.369080:0.798059:0.369080:0.781421:0.305302:0.781421:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática y geometría:@0.070241:0.720103:0.245940:0.720103:0.245940:0.704739:0.070241:0.704739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números irracionales :@0.084766:0.739377:0.249608:0.739377:0.249608:0.724478:0.084766:0.724478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son muy importantes :@0.102506:0.755093:0.249608:0.755093:0.249608:0.740194:0.102506:0.740194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuando se realizan :@0.122375:0.770810:0.249608:0.770810:0.249608:0.755911:0.122375:0.755911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cálculos geométricos.:@0.101468:0.786526:0.245939:0.786526:0.245939:0.771627:0.101468:0.771627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, el número pi :@0.073743:0.805800:0.249608:0.805800:0.249608:0.790901:0.073743:0.790901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(π) se utiliza para calcular :@0.080041:0.821517:0.249609:0.821517:0.249609:0.806618:0.080041:0.806618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
áreas y volúmenes :@0.122877:0.837233:0.249609:0.837233:0.249609:0.822334:0.122877:0.822334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de formas circulares:@0.113295:0.852949:0.245939:0.852949:0.245939:0.838050:0.113295:0.838050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o esféricas.:@0.174106:0.868665:0.245939:0.868665:0.245939:0.853766:0.174106:0.853766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cuál es el valor de π?, :@0.107666:0.887311:0.248954:0.887311:0.248954:0.872437:0.107666:0.872437:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿es un número :@0.153517:0.902399:0.248954:0.902399:0.248954:0.887525:0.153517:0.887525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional o irracional?:@0.112960:0.917486:0.245939:0.917486:0.245939:0.902613:0.112960:0.902613:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.091316:0.690945:0.248522:0.690945:0.248522:0.674044:0.091316:0.674044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática:@0.159185:0.184433:0.244757:0.184433:0.244757:0.169069:0.159185:0.169069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y tecnología:@0.155852:0.199521:0.244755:0.199521:0.244755:0.184157:0.155852:0.184157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El televisor es un aparato :@0.079411:0.218167:0.248422:0.218167:0.248422:0.203268:0.079411:0.203268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
electrónico que sirve para :@0.072308:0.233254:0.248424:0.233254:0.248424:0.218355:0.072308:0.218355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
receptar y reproducir las :@0.083800:0.248342:0.248424:0.248342:0.248424:0.233443:0.083800:0.233443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
señales del sistema :@0.117221:0.263430:0.248422:0.263430:0.248422:0.248531:0.117221:0.248531:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamado televisión. A lo :@0.090852:0.278517:0.248424:0.278517:0.248424:0.263618:0.090852:0.263618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo de la historia, ha ido :@0.074134:0.293605:0.248424:0.293605:0.248424:0.278706:0.074134:0.278706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
evolucionando.:@0.141662:0.308693:0.244755:0.308693:0.244755:0.293794:0.141662:0.293794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A las pantallas de los :@0.107354:0.327338:0.248425:0.327338:0.248425:0.312439:0.107354:0.312439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monitores de :@0.155617:0.342426:0.248425:0.342426:0.248425:0.327527:0.155617:0.327527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
computadoras se los :@0.106482:0.357514:0.248425:0.357514:0.248425:0.342615:0.106482:0.342615:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identifica de acuerdo con :@0.074904:0.372601:0.248424:0.372601:0.248424:0.357702:0.074904:0.357702:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la medida de la diagonal :@0.080969:0.387689:0.248425:0.387689:0.248425:0.372790:0.080969:0.372790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de su pantalla. :@0.148799:0.402776:0.248425:0.402776:0.248425:0.387877:0.148799:0.387877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si una pantalla de un :@0.111592:0.421422:0.248425:0.421422:0.248425:0.406523:0.111592:0.406523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
monitor de computadora :@0.081572:0.436510:0.248424:0.436510:0.248424:0.421611:0.081572:0.421611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tiene 15,2 pulgadas de :@0.100820:0.451597:0.248425:0.451597:0.248425:0.436698:0.100820:0.436698:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
largo y 11,4 pulgadas de :@0.090383:0.466685:0.248425:0.466685:0.248425:0.451786:0.090383:0.451786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ancho,:@0.071570:0.481773:0.114457:0.481773:0.114457:0.466874:0.071570:0.466874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿cuál es la medida de :@0.114122:0.481773:0.247772:0.481773:0.247772:0.466899:0.114122:0.466899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la diagonal de la pantalla?:@0.084487:0.496860:0.244757:0.496860:0.244757:0.481986:0.084487:0.481986:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.090129:0.155274:0.247335:0.155274:0.247335:0.138374:0.090129:0.138374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La diagonal determina :@0.108918:0.620805:0.247326:0.620805:0.247326:0.607396:0.108918:0.607396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
las pulgadas de un monitor :@0.079578:0.634384:0.247326:0.634384:0.247326:0.620975:0.079578:0.620975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de computadora.:@0.140143:0.647963:0.244024:0.647963:0.244024:0.634554:0.140143:0.634554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.078898:0.569020:0.078898:0.563913:0.066816:0.563913:0.066816:0.569020:0.000000
Shutterstock:@0.078898:0.563913:0.078898:0.526195:0.066987:0.526195:0.066987:0.563913:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13 plgs:@0.844756:0.392133:0.888117:0.392133:0.888117:0.378724:0.844756:0.378724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
16 plgs:@0.679193:0.435529:0.722555:0.435529:0.722555:0.422120:0.679193:0.422120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.26. :@0.290067:0.952508:0.338404:0.952508:0.338404:0.941753:0.290067:0.941753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Reconocer el conjunto de los números irracionales e identificar sus elementos.:@0.338404:0.952508:0.703368:0.952508:0.703368:0.942078:0.338404:0.942078:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.614891:0.952508:0.617459:0.952508:0.617459:0.942078:0.614891:0.942078:0.000000