44:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
Tema:@0.047190:0.135475:0.083321:0.135475:0.083321:0.113749:0.047190:0.113749:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.784348:0.236739:0.784348:0.236739:0.750401:0.175844:0.750401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.1.3. Establece relaciones de orden en un conjunto de números racionales e irracionales, con el empleo de la recta numérica :@0.256865:0.756533:0.877628:0.756533:0.877628:0.746104:0.256865:0.746104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(representación  geométrica);  aplica  las  propiedades  algebraicas  de  las  operaciones  (adición  y  multiplicación)  y  las  reglas  de  los :@0.256865:0.767094:0.877718:0.767094:0.877718:0.756665:0.256865:0.756665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
radicales en el cálculo de ejercicios numéricos y algebraicos con operaciones combinadas; atiende correctamente la jerarquía de las :@0.256865:0.777656:0.877686:0.777656:0.877686:0.767226:0.256865:0.767226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operaciones. (I.4.):@0.256865:0.788217:0.337286:0.788217:0.337286:0.777788:0.256865:0.777788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión decimal de un número racional se obtiene dividiendo el numerador para el denominador, :@0.115209:0.167757:0.884027:0.167757:0.884027:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pudiendo resultar tres tipos de expresiones decimales::@0.115209:0.184353:0.513038:0.184353:0.513038:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.115209:0.204518:0.133931:0.204518:0.133931:0.187617:0.115209:0.187617:0.000000:0.000000:0.000000
Decimal exacto::@0.148452:0.204518:0.275124:0.204518:0.275124:0.187617:0.148452:0.187617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 cuando el residuo de la división es cero y la parte decimal tiene un número finito :@0.275124:0.204518:0.884039:0.204518:0.884039:0.188129:0.275124:0.188129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cifras.:@0.148452:0.221114:0.212026:0.221114:0.212026:0.204725:0.148452:0.204725:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.241279:0.119023:0.241279:0.119023:0.224378:0.115209:0.224378:0.000000
Ejemplo::@0.148452:0.241279:0.218256:0.241279:0.218256:0.224378:0.148452:0.224378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 0,625, 0,001 25, 40,35:@0.218256:0.241279:0.376328:0.241279:0.376328:0.224890:0.218256:0.224890:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.115209:0.261443:0.135240:0.261443:0.135240:0.244543:0.115209:0.244543:0.000000:0.000000:0.000000
Decimal periódico puro::@0.148452:0.261443:0.339842:0.261443:0.339842:0.244543:0.148452:0.244543:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al dividir, la parte decimal sigue un patrón que se repite indefinidamente :@0.339842:0.261443:0.883840:0.261443:0.883840:0.245054:0.339842:0.245054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llamado periodo, el residuo nunca llega a cero.  :@0.148452:0.278040:0.497319:0.278040:0.497319:0.261651:0.148452:0.261651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.298204:0.119023:0.298204:0.119023:0.281303:0.115209:0.281303:0.000000
Ejemplo: :@0.148452:0.298204:0.222071:0.298204:0.222071:0.281303:0.148452:0.281303:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0,181 818…, 3,421 421 421…, 1,555… :@0.222071:0.298204:0.506446:0.298204:0.506446:0.281815:0.222071:0.281815:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.115209:0.318369:0.132844:0.318369:0.132844:0.301468:0.115209:0.301468:0.000000:0.000000:0.000000
Decimal periódico mixto::@0.148452:0.318369:0.350355:0.318369:0.350355:0.301468:0.148452:0.301468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Al dividir, de la parte decimal se obtiene un número que no se repite, :@0.350355:0.318369:0.883982:0.318369:0.883982:0.301980:0.350355:0.301980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seguido de un patrón que se repite indefinidamente. :@0.148452:0.334965:0.540216:0.334965:0.540216:0.318576:0.148452:0.318576:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.115209:0.355130:0.119245:0.355130:0.119245:0.338741:0.115209:0.338741:0.000000
Ejemplo: :@0.148452:0.355130:0.222071:0.355130:0.222071:0.338229:0.148452:0.338229:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2,125 252 5…, 1,044 4…, 3,204 545 45…:@0.222071:0.355130:0.519474:0.355130:0.519474:0.338741:0.222071:0.338741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Fracción generatriz:@0.115209:0.384298:0.309142:0.384298:0.309142:0.362788:0.115209:0.362788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para hallar la fracción generatriz de un número decimal se procede así: :@0.115209:0.403516:0.634531:0.403516:0.634531:0.387127:0.115209:0.387127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i):@0.115209:0.423680:0.125473:0.423680:0.125473:0.406780:0.115209:0.406780:0.000000:0.000000
 :@0.125473:0.423680:0.129287:0.423680:0.129287:0.406780:0.125473:0.406780:0.000000
Si el decimal es exacto: en el numerador se escribe el número sin la coma y en el denominador el uno :@0.148452:0.423680:0.883860:0.423680:0.883860:0.407291:0.148452:0.407291:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(1), seguido de tantos ceros como cifras decimales tenga el número.   :@0.148452:0.440277:0.658339:0.440277:0.658339:0.423888:0.148452:0.423888:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ii):@0.115209:0.460441:0.130190:0.460441:0.130190:0.443541:0.115209:0.443541:0.000000:0.000000:0.000000
 :@0.130190:0.460441:0.134005:0.460441:0.134005:0.443541:0.130190:0.443541:0.000000
Si el decimal es periódico: en el numerador se escribe la parte fija seguida del periodo sin la coma y se :@0.148452:0.460441:0.883929:0.460441:0.883929:0.444052:0.148452:0.444052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resta la parte fija; en el denominador se escribe tantos nueves como cifras tenga el periodo, seguido :@0.148452:0.477038:0.884008:0.477038:0.884008:0.460649:0.148452:0.460649:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tantos ceros como lugares existan entre la coma y el periodo.:@0.148452:0.493634:0.619033:0.493634:0.619033:0.477245:0.148452:0.477245:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115209:0.522737:0.272331:0.522737:0.272331:0.504300:0.115209:0.504300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.:@0.115209:0.542583:0.130227:0.542583:0.130227:0.525447:0.115209:0.525447:0.000000:0.000000
 :@0.130227:0.542583:0.134134:0.542583:0.134134:0.525959:0.130227:0.525959:0.000000
Determinamos:@0.148452:0.542583:0.258871:0.542583:0.258871:0.525959:0.148452:0.525959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la expresión decimal de las siguientes fracciones e :@0.258502:0.542583:0.613234:0.542583:0.613234:0.526194:0.258502:0.526194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indicamos:@0.612773:0.542583:0.688990:0.542583:0.688990:0.525959:0.612773:0.525959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 qué tipo de decimales son.:@0.688622:0.542583:0.879919:0.542583:0.879919:0.526194:0.688622:0.526194:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2. :@0.115209:0.665009:0.133950:0.665009:0.133950:0.647873:0.115209:0.647873:0.000000:0.000000:0.000000
Encuentra:@0.148452:0.665009:0.226456:0.665009:0.226456:0.648385:0.148452:0.648385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la fracción generatriz de: 0,625, 0,181818… y 2,125 252 5…:@0.226456:0.665009:0.662618:0.665009:0.662618:0.648620:0.226456:0.648620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
13:@0.048440:0.122645:0.082072:0.122645:0.082072:0.065614:0.048440:0.065614:0.000000:0.000000
Expresión decimal de números racionales:@0.115891:0.141978:0.720736:0.141978:0.720736:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.14. Representar y reconocer los números racionales como un número decimal y/o como una fracción.:@0.125388:0.074999:0.626029:0.074999:0.626029:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1. :@0.115209:0.825587:0.133950:0.825587:0.133950:0.808451:0.115209:0.808451:0.000000:0.000000:0.000000
Escribe :@0.148452:0.825587:0.207107:0.825587:0.207107:0.808963:0.148452:0.808963:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
frente a cada número racional su correspondiente expresión decimal.:@0.207107:0.825587:0.714031:0.825587:0.714031:0.809198:0.207107:0.809198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.155694:0.581150:0.170602:0.581150:0.170602:0.564249:0.155694:0.564249:0.000000:0.000000
=:@0.212498:0.579762:0.222615:0.579762:0.222615:0.564189:0.212498:0.564189:0.000000
32:@0.190459:0.570597:0.208242:0.570597:0.208242:0.554208:0.190459:0.554208:0.000000:0.000000
50:@0.190293:0.589973:0.208076:0.589973:0.208076:0.573584:0.190293:0.573584:0.000000:0.000000
0,64             decimal exacto:@0.225220:0.579084:0.421479:0.579084:0.421479:0.562695:0.225220:0.562695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.520918:0.581158:0.534739:0.581158:0.534739:0.564258:0.520918:0.564258:0.000000:0.000000
=:@0.585794:0.579762:0.595910:0.579762:0.595910:0.564189:0.585794:0.564189:0.000000
196:@0.554802:0.570597:0.581374:0.570597:0.581374:0.554208:0.554802:0.554208:0.000000:0.000000:0.000000
45:@0.560514:0.589973:0.578297:0.589973:0.578297:0.573584:0.560514:0.573584:0.000000:0.000000
4,355 5...        decimal periódico mixto:@0.599247:0.579084:0.872707:0.579084:0.872707:0.562695:0.599247:0.562695:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.155691:0.627725:0.171907:0.627725:0.171907:0.610824:0.155691:0.610824:0.000000:0.000000
=:@0.211714:0.626335:0.221831:0.626335:0.221831:0.610762:0.211714:0.610762:0.000000
5:@0.194699:0.617170:0.203692:0.617170:0.203692:0.600781:0.194699:0.600781:0.000000
33:@0.190295:0.636546:0.208077:0.636546:0.208077:0.620157:0.190295:0.620157:0.000000:0.000000
0,151515...  decimal periódico puro:@0.224434:0.625657:0.480885:0.624400:0.480885:0.608011:0.224434:0.609268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d):@0.520930:0.627733:0.537183:0.627733:0.537183:0.610832:0.520930:0.610832:0.000000:0.000000
=:@0.575553:0.626335:0.585670:0.626335:0.585670:0.610762:0.575553:0.610762:0.000000
5:@0.558330:0.617170:0.567322:0.617170:0.567322:0.600781:0.558330:0.600781:0.000000
22:@0.553723:0.636546:0.571506:0.636546:0.571506:0.620157:0.553723:0.620157:0.000000:0.000000
4,227 272 72... decimal periódico mixto:@0.589008:0.625657:0.866433:0.624400:0.866433:0.608011:0.589008:0.609268:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.232822:0.703301:0.188651:0.703301:0.188651:0.687729:0.232822:0.687729:0.000000
=:@0.287110:0.703301:0.242939:0.703301:0.242939:0.687729:0.287110:0.687729:0.000000
0,625:@0.189422:0.702624:0.230644:0.702624:0.230644:0.686235:0.189422:0.686235:0.000000:0.000000:0.000000:0.000000:0.000000
625:@0.252139:0.694137:0.278712:0.694137:0.278712:0.677748:0.252139:0.677748:0.000000:0.000000:0.000000
1000:@0.245857:0.713507:0.282694:0.713507:0.282694:0.697118:0.245857:0.697118:0.000000:0.000000:0.000000:0.000000
5:@0.301663:0.694137:0.310656:0.694137:0.310656:0.677748:0.301663:0.677748:0.000000
8:@0.301298:0.713507:0.310290:0.713507:0.310290:0.697118:0.301298:0.697118:0.000000
=:@0.461948:0.705187:0.435689:0.705187:0.435689:0.689615:0.461948:0.689615:0.000000
=:@0.498324:0.705187:0.472065:0.705187:0.472065:0.689615:0.498324:0.689615:0.000000
0,181818...:@0.382322:0.704510:0.458981:0.704510:0.458981:0.688121:0.382322:0.688121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
18:@0.475560:0.696023:0.493342:0.696023:0.493342:0.679634:0.475560:0.679634:0.000000:0.000000
99 11:@0.476131:0.715399:0.529147:0.715399:0.529147:0.699010:0.476131:0.699010:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.514976:0.696023:0.523969:0.696023:0.523969:0.679634:0.514976:0.679634:0.000000
=:@0.670055:0.705816:0.597395:0.705816:0.597395:0.690243:0.670055:0.690243:0.000000
=:@0.752832:0.705816:0.680172:0.705816:0.680172:0.690243:0.752832:0.690243:0.000000
=:@0.807378:0.705816:0.817494:0.705816:0.817494:0.690243:0.807378:0.690243:0.000000
2,1252525...:@0.581160:0.705138:0.667088:0.705138:0.667088:0.688749:0.581160:0.688749:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2125–21 2104 1052:@0.684244:0.696619:0.854407:0.696611:0.854407:0.680222:0.684244:0.680230:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
990:@0.703037:0.716022:0.729610:0.716022:0.729610:0.699633:0.703037:0.699633:0.000000:0.000000:0.000000
990:@0.771722:0.716022:0.798294:0.716022:0.798294:0.699633:0.771722:0.699633:0.000000:0.000000:0.000000
495:@0.825276:0.716022:0.851849:0.716022:0.851849:0.699633:0.825276:0.699633:0.000000:0.000000:0.000000
a) :@0.148595:0.860982:0.167317:0.860982:0.167317:0.844081:0.148595:0.844081:0.000000:0.000000:0.000000
b):@0.148595:0.908337:0.164811:0.908337:0.164811:0.891436:0.148595:0.891436:0.000000:0.000000
c) :@0.607664:0.860982:0.625299:0.860982:0.625299:0.844081:0.607664:0.844081:0.000000:0.000000:0.000000
d):@0.607664:0.908337:0.623917:0.908337:0.623917:0.891436:0.607664:0.891436:0.000000:0.000000
    :@0.180873:0.871169:0.192935:0.871169:0.192935:0.856295:0.180873:0.856295:0.000000:0.000000:0.000000:0.000000
7:@0.199530:0.851051:0.207624:0.851051:0.207624:0.836301:0.199530:0.836301:0.000000
15:@0.195566:0.868489:0.211571:0.868489:0.211571:0.853739:0.195566:0.853739:0.000000:0.000000
    :@0.640349:0.860042:0.652411:0.860042:0.652411:0.845168:0.640349:0.845168:0.000000:0.000000:0.000000:0.000000
=  :@0.234402:0.860982:0.253456:0.860982:0.253456:0.844593:0.234402:0.844593:0.000000:0.000000:0.000000
=  :@0.693877:0.860982:0.712931:0.860982:0.712931:0.844593:0.693877:0.844593:0.000000:0.000000:0.000000
   :@0.180873:0.919030:0.191879:0.919030:0.191879:0.904131:0.180873:0.904131:0.000000:0.000000:0.000000
210:@0.195555:0.898912:0.219470:0.898912:0.219470:0.884162:0.195555:0.884162:0.000000:0.000000:0.000000
315:@0.195887:0.916351:0.219802:0.916351:0.219802:0.901601:0.195887:0.901601:0.000000:0.000000:0.000000
   :@0.640349:0.907902:0.651356:0.907902:0.651356:0.893003:0.640349:0.893003:0.000000:0.000000:0.000000
= :@0.236077:0.907063:0.251096:0.907063:0.251096:0.890675:0.236077:0.890675:0.000000:0.000000
= :@0.695552:0.907063:0.710571:0.907063:0.710571:0.890675:0.695552:0.890675:0.000000:0.000000
 225 :@0.654703:0.852295:0.689752:0.852295:0.689752:0.835907:0.654703:0.835907:0.000000:0.000000:0.000000:0.000000:0.000000
 100:@0.654703:0.870953:0.685717:0.870953:0.685717:0.854564:0.654703:0.854564:0.000000:0.000000:0.000000:0.000000
 223 :@0.654703:0.899498:0.689752:0.899498:0.689752:0.883109:0.654703:0.883109:0.000000:0.000000:0.000000:0.000000:0.000000
  99:@0.654703:0.918155:0.680760:0.918155:0.680760:0.901766:0.654703:0.901766:0.000000:0.000000:0.000000:0.000000
0,466:@0.306772:0.860314:0.342388:0.860314:0.342388:0.845415:0.306772:0.845415:0.000000:0.000000:0.000000:0.000000:0.000000
0,666:@0.306772:0.908092:0.342388:0.908092:0.342388:0.893193:0.306772:0.893193:0.000000:0.000000:0.000000:0.000000:0.000000
2,25:@0.770345:0.860314:0.797785:0.860314:0.797785:0.845415:0.770345:0.845415:0.000000:0.000000:0.000000:0.000000
2,2525...:@0.757797:0.908092:0.810333:0.908092:0.810333:0.893193:0.757797:0.893193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000