6:@0.063510:0.510692:0.072963:0.510692:0.072963:0.494068:0.063510:0.494068:0.000000
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
1:@0.059451:0.122645:0.071060:0.122645:0.071060:0.065614:0.059451:0.065614:0.000000
1. :@0.115209:0.750812:0.133950:0.750812:0.133950:0.733677:0.115209:0.733677:0.000000:0.000000:0.000000
Responde:@0.148452:0.750812:0.225424:0.750812:0.225424:0.734188:0.148452:0.734188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) en la columna derecha de las siguientes proposiciones.:@0.225424:0.750812:0.811051:0.750812:0.811051:0.734423:0.225424:0.734423:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148452:0.774531:0.167175:0.774531:0.167175:0.757631:0.148452:0.757631:0.000000:0.000000:0.000000
El conjunto de los números enteros es subconjunto de los naturales. :@0.181696:0.774531:0.685139:0.774531:0.685139:0.758142:0.181696:0.758142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.773908:0.879369:0.773908:0.879369:0.760499:0.828861:0.760499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.148451:0.794697:0.168481:0.794697:0.168481:0.777797:0.148451:0.777797:0.000000:0.000000:0.000000
El número cero no es ni positivo ni negativo. :@0.181692:0.794697:0.510202:0.794697:0.510202:0.778308:0.181692:0.778308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.794069:0.879369:0.794069:0.879369:0.780659:0.828861:0.780659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.148451:0.814857:0.166086:0.814857:0.166086:0.797956:0.148451:0.797956:0.000000:0.000000:0.000000
El conjunto de números enteros es infinito. :@0.181694:0.814857:0.499534:0.814857:0.499534:0.798468:0.181694:0.798468:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.814228:0.879369:0.814228:0.879369:0.800819:0.828861:0.800819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.148451:0.835018:0.168518:0.835018:0.168518:0.818117:0.148451:0.818117:0.000000:0.000000:0.000000
El número 0 no pertenece al conjunto de los números enteros. :@0.181694:0.835018:0.644007:0.835018:0.644007:0.818629:0.181694:0.818629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.834389:0.879369:0.834389:0.879369:0.820980:0.828861:0.820980:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.148451:0.856434:0.167320:0.856434:0.167320:0.839534:0.148451:0.839534:0.000000:0.000000:0.000000
{}:@0.250062:0.858879:0.276395:0.858879:0.276395:0.840503:0.250062:0.840503:0.000000:0.000000
=:@0.199699:0.857112:0.209816:0.857112:0.209816:0.841539:0.199699:0.841539:0.000000
∪:@0.234767:0.857112:0.248920:0.857112:0.248920:0.841539:0.234767:0.841539:0.000000
∪:@0.277446:0.857112:0.291598:0.857112:0.291598:0.841539:0.277446:0.841539:0.000000
+:@0.306235:0.849166:0.312098:0.849166:0.312098:0.840141:0.306235:0.840141:0.000000
:@0.184674:0.857306:0.225086:0.857306:0.225086:0.840557:0.184674:0.840557:0.000000:0.000000
:@0.293876:0.857306:0.306168:0.857306:0.306168:0.840557:0.293876:0.840557:0.000000
0:@0.258809:0.856434:0.267801:0.856434:0.267801:0.840046:0.258809:0.840046:0.000000
–:@0.225562:0.848773:0.230902:0.848773:0.230902:0.839275:0.225562:0.839275:0.000000
 :@0.315710:0.864250:0.319764:0.864250:0.319764:0.845251:0.315710:0.845251:0.000000
_______:@0.828861:0.855806:0.879369:0.855806:0.879369:0.842397:0.828861:0.842397:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.148451:0.876595:0.165275:0.876595:0.165275:0.859695:0.148451:0.859695:0.000000:0.000000:0.000000
Al escribir números positivos se puede omitir el signo (+) delante del número. :@0.181694:0.876595:0.753854:0.876595:0.753854:0.860206:0.181694:0.860206:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.875967:0.879369:0.875967:0.879369:0.862558:0.828861:0.862558:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.148451:0.896756:0.168369:0.896756:0.168369:0.879855:0.148451:0.879855:0.000000:0.000000:0.000000
Todo número natural es positivo. :@0.181692:0.896756:0.425952:0.896756:0.425952:0.880367:0.181692:0.880367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.896127:0.879369:0.896127:0.879369:0.882718:0.828861:0.882718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.148451:0.916916:0.168352:0.916916:0.168352:0.900016:0.148451:0.900016:0.000000:0.000000:0.000000
En un número negativo se puede omitir el signo (–). :@0.181694:0.916916:0.566371:0.916916:0.566371:0.900527:0.181694:0.900527:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.828861:0.916288:0.879369:0.916288:0.879369:0.902878:0.828861:0.902878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Taller:@0.175844:0.709574:0.236739:0.709574:0.236739:0.675627:0.175844:0.675627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
I.M.4.1.1.  Ejemplifica situaciones reales en las que se utilizan los números enteros; establece relaciones de orden empleando la recta :@0.256865:0.687040:0.877664:0.687040:0.877664:0.676610:0.256865:0.676610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica; aplica las propiedades algebraicas de los números enteros en la solución de expresiones con operaciones combinadas, :@0.256865:0.697601:0.877698:0.697601:0.877698:0.687172:0.256865:0.687172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
empleando correctamente la prioridad de las operaciones; juzga la necesidad del uso de la tecnología. (I.4.):@0.256865:0.708162:0.755382:0.708162:0.755382:0.697733:0.256865:0.697733:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa:@0.223875:0.447040:0.281939:0.447040:0.281939:0.431927:0.223875:0.431927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el :@0.281939:0.447040:0.300953:0.447040:0.300953:0.432141:0.281939:0.432141:0.000000:0.000000:0.000000:0.000000
siguiente video :@0.223875:0.462127:0.330000:0.462127:0.330000:0.447228:0.223875:0.447228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
para ampliar tu :@0.223875:0.477215:0.328527:0.477215:0.328527:0.462316:0.223875:0.462316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocimiento::@0.223875:0.492302:0.320350:0.492302:0.320350:0.477403:0.223875:0.477403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
TIC:@0.163487:0.427607:0.183456:0.427607:0.183456:0.405881:0.163487:0.405881:0.000000:0.000000:0.000000
mayedu.ec/ctm8/p6:@0.167009:0.522571:0.301948:0.522571:0.301948:0.507445:0.167009:0.507445:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Recordemos que los números naturales son los que utilizamos para contar: uno, dos, tres, cuatro, cinco, :@0.115209:0.167757:0.883955:0.167757:0.883955:0.151368:0.115209:0.151368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
seis, siete, etc. y se representan con el conjunto::@0.115209:0.184353:0.462878:0.184353:0.462878:0.167964:0.115209:0.167964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.118193:0.205385:0.131498:0.205385:0.131498:0.188637:0.118193:0.188637:0.000000
 = {1, 2, 3, 4, 5, 6, 7, …}:@0.135312:0.204514:0.296203:0.204514:0.296203:0.188125:0.135312:0.188125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al contar regresivamente surge la necesidad de que existan números que estén antes del uno. Por :@0.115207:0.224678:0.884027:0.224678:0.884027:0.208290:0.115207:0.208290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo, cuando baja un ascensor desde el piso 5, al 4, 3, 2, 1 y sigue bajando a la planta baja, al subsuelo :@0.115207:0.241275:0.883822:0.241275:0.883822:0.224886:0.115207:0.224886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno y al subsuelo dos, etc…:@0.115207:0.257871:0.322035:0.257871:0.322035:0.241482:0.115207:0.241482:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es así como aparecen los :@0.115207:0.278036:0.306781:0.278036:0.306781:0.261647:0.115207:0.261647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números enteros:@0.308052:0.278036:0.444030:0.278036:0.444030:0.261135:0.308052:0.261135:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, para resolver esta situación, y se representan mediante el :@0.444030:0.278036:0.884008:0.278036:0.884008:0.261647:0.444030:0.261647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conjunto::@0.115207:0.294632:0.185306:0.294632:0.185306:0.278243:0.115207:0.278243:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.119030:0.316284:0.131322:0.316284:0.131322:0.299536:0.119030:0.299536:0.000000
 = {…, –7, –6, –5, –4, –3, –2, –1, 0, 1, 2, 3, 4, 5, 6, 7, …}:@0.135312:0.314784:0.516248:0.314784:0.516248:0.298395:0.135312:0.298395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en el cual los números que están antes de cero (0) son :@0.115207:0.334949:0.521183:0.334949:0.521183:0.318560:0.115207:0.318560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros negativos:@0.521625:0.334949:0.664400:0.334949:0.664400:0.318048:0.521625:0.318048:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.664400:0.334949:0.673762:0.334949:0.673762:0.318560:0.664400:0.318560:0.000000:0.000000
:@0.674238:0.336802:0.686529:0.336802:0.686529:0.320054:0.674238:0.320054:0.000000
–:@0.687012:0.328268:0.692351:0.328268:0.692351:0.318770:0.687012:0.318770:0.000000
) y los que están después :@0.693870:0.334944:0.883933:0.334944:0.883933:0.318555:0.693870:0.318555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de cero (0) son :@0.115205:0.351540:0.227817:0.351540:0.227817:0.335151:0.115205:0.335151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros positivos:@0.227817:0.351540:0.363886:0.351540:0.363886:0.334639:0.227817:0.334639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 (:@0.363886:0.351540:0.372805:0.351540:0.372805:0.335151:0.363886:0.335151:0.000000:0.000000
+:@0.385631:0.345533:0.391494:0.345533:0.391494:0.336508:0.385631:0.336508:0.000000
:@0.373276:0.353672:0.385567:0.353672:0.385567:0.336924:0.373276:0.336924:0.000000
).:@0.392908:0.351540:0.400998:0.351540:0.400998:0.335151:0.392908:0.335151:0.000000:0.000000
Nota::@0.115204:0.371705:0.158232:0.371705:0.158232:0.354804:0.115204:0.354804:0.000000:0.000000:0.000000:0.000000:0.000000
 al escribir números positivos puede omitirse el signo +.:@0.158232:0.371705:0.565162:0.371705:0.565162:0.355316:0.158232:0.355316:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los números enteros están formados así: :@0.115204:0.393128:0.417008:0.393128:0.417008:0.376739:0.115204:0.376739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{}:@0.485381:0.395562:0.511715:0.395562:0.511715:0.377186:0.485381:0.377186:0.000000:0.000000
=:@0.435020:0.393795:0.445137:0.393795:0.445137:0.378223:0.435020:0.378223:0.000000
∪:@0.470088:0.393795:0.484241:0.393795:0.484241:0.378223:0.470088:0.378223:0.000000
∪:@0.512767:0.393795:0.526919:0.393795:0.526919:0.378223:0.512767:0.378223:0.000000
+:@0.541556:0.385849:0.547419:0.385849:0.547419:0.376824:0.541556:0.376824:0.000000
:@0.419995:0.393989:0.460407:0.393989:0.460407:0.377241:0.419995:0.377241:0.000000:0.000000
:@0.529197:0.393989:0.541489:0.393989:0.541489:0.377241:0.529197:0.377241:0.000000
0:@0.494130:0.393118:0.503122:0.393118:0.503122:0.376729:0.494130:0.376729:0.000000
–:@0.460881:0.385457:0.466221:0.385457:0.466221:0.375959:0.460881:0.375959:0.000000
Conjunto de números enteros:@0.115891:0.141978:0.551520:0.141978:0.551520:0.101242:0.115891:0.101242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.1. Reconocer los elementos del conjunto de números enteros Z, ejemplificando situaciones reales en las que se utilizan los números enteros negativos.:@0.125388:0.074999:0.853701:0.074999:0.853701:0.064570:0.125388:0.064570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.376903:0.512280:0.534025:0.512280:0.534025:0.493843:0.376903:0.493843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ubicamos:@0.376903:0.532126:0.452254:0.532126:0.452254:0.515502:0.376903:0.515502:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 en la recta numérica los siguientes números: 4, –7, 0, –5, +8.:@0.452069:0.532126:0.879900:0.532126:0.879900:0.515737:0.452069:0.515737:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En muchas actividades cotidianas se pueden aplicar los números :@0.376903:0.419382:0.883921:0.419382:0.883921:0.402993:0.376903:0.402993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con signo, por ejemplo, para expresar ganancias (+) o pérdidas (–); :@0.376903:0.435978:0.883921:0.435978:0.883921:0.419589:0.376903:0.419589:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.879885:0.435978:0.883921:0.435978:0.883921:0.419589:0.879885:0.419589:0.000000
 :@0.879885:0.435978:0.883921:0.435978:0.883921:0.419589:0.879885:0.419589:0.000000
ingresos (+) o gastos (–), entre otras actividades.:@0.376903:0.452574:0.727336:0.452574:0.727336:0.436185:0.376903:0.436185:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Gráficamente, se pueden ubicar a los números enteros en la :@0.376903:0.472739:0.837682:0.472739:0.837682:0.456350:0.376903:0.456350:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
recta :@0.839673:0.472739:0.883770:0.472739:0.883770:0.455838:0.839673:0.455838:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numérica:@0.376903:0.489335:0.451977:0.489335:0.451977:0.472435:0.376903:0.472435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.451977:0.489335:0.455184:0.489335:0.455184:0.472946:0.451977:0.472946:0.000000
Dibujamos:@0.115212:0.555098:0.198579:0.555098:0.198579:0.538474:0.115212:0.538474:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la recta numérica::@0.198579:0.555098:0.332509:0.555098:0.332509:0.538709:0.198579:0.538709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–9:@0.148072:0.589868:0.166278:0.589868:0.166278:0.573479:0.148072:0.573479:0.000000:0.000000
–8:@0.185867:0.589868:0.204074:0.589868:0.204074:0.573479:0.185867:0.573479:0.000000:0.000000
–7:@0.223662:0.589868:0.241869:0.589868:0.241869:0.573479:0.223662:0.573479:0.000000:0.000000
–6:@0.261457:0.589868:0.279664:0.589868:0.279664:0.573479:0.261457:0.573479:0.000000:0.000000
–5:@0.299252:0.589868:0.317459:0.589868:0.317459:0.573479:0.299252:0.573479:0.000000:0.000000
–4:@0.337047:0.589868:0.355254:0.589868:0.355254:0.573479:0.337047:0.573479:0.000000:0.000000
–3:@0.374842:0.589868:0.393049:0.589868:0.393049:0.573479:0.374842:0.573479:0.000000:0.000000
–2:@0.412638:0.589868:0.430844:0.589868:0.430844:0.573479:0.412638:0.573479:0.000000:0.000000
–1:@0.450433:0.589868:0.468639:0.589868:0.468639:0.573479:0.450433:0.573479:0.000000:0.000000
0:@0.492835:0.589868:0.501827:0.589868:0.501827:0.573479:0.492835:0.573479:0.000000
1:@0.530630:0.589868:0.539622:0.589868:0.539622:0.573479:0.530630:0.573479:0.000000
5:@0.681847:0.589868:0.690840:0.589868:0.690840:0.573479:0.681847:0.573479:0.000000
3:@0.606238:0.589868:0.615231:0.589868:0.615231:0.573479:0.606238:0.573479:0.000000
7:@0.757455:0.589868:0.766448:0.589868:0.766448:0.573479:0.757455:0.573479:0.000000
2:@0.568443:0.589868:0.577436:0.589868:0.577436:0.573479:0.568443:0.573479:0.000000
6:@0.719660:0.589868:0.728653:0.589868:0.728653:0.573479:0.719660:0.573479:0.000000
4:@0.644052:0.589868:0.653044:0.589868:0.653044:0.573479:0.644052:0.573479:0.000000
8:@0.795269:0.589868:0.804262:0.589868:0.804262:0.573479:0.795269:0.573479:0.000000
9:@0.833064:0.589868:0.842057:0.589868:0.842057:0.573479:0.833064:0.573479:0.000000
Ubicamos:@0.115142:0.615094:0.191782:0.615094:0.191782:0.598470:0.115142:0.598470:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 los puntos: los negativos a la izquierda de 0 y los positivos, a la derecha de 0.:@0.191782:0.615094:0.752603:0.615094:0.752603:0.598705:0.191782:0.598705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–9:@0.148072:0.649864:0.166278:0.649864:0.166278:0.633475:0.148072:0.633475:0.000000:0.000000
–8:@0.185867:0.649864:0.204074:0.649864:0.204074:0.633475:0.185867:0.633475:0.000000:0.000000
–7:@0.223662:0.649864:0.241869:0.649864:0.241869:0.633475:0.223662:0.633475:0.000000:0.000000
–6:@0.261457:0.649864:0.279664:0.649864:0.279664:0.633475:0.261457:0.633475:0.000000:0.000000
–5:@0.299252:0.649864:0.317459:0.649864:0.317459:0.633475:0.299252:0.633475:0.000000:0.000000
–4:@0.337047:0.649864:0.355254:0.649864:0.355254:0.633475:0.337047:0.633475:0.000000:0.000000
–3:@0.374842:0.649864:0.393049:0.649864:0.393049:0.633475:0.374842:0.633475:0.000000:0.000000
–2:@0.412638:0.649864:0.430844:0.649864:0.430844:0.633475:0.412638:0.633475:0.000000:0.000000
–1:@0.450433:0.649864:0.468639:0.649864:0.468639:0.633475:0.450433:0.633475:0.000000:0.000000
0:@0.492835:0.649864:0.501827:0.649864:0.501827:0.633475:0.492835:0.633475:0.000000
1:@0.530630:0.649864:0.539622:0.649864:0.539622:0.633475:0.530630:0.633475:0.000000
5:@0.681847:0.649864:0.690840:0.649864:0.690840:0.633475:0.681847:0.633475:0.000000
3:@0.606238:0.649864:0.615231:0.649864:0.615231:0.633475:0.606238:0.633475:0.000000
7:@0.757455:0.649864:0.766448:0.649864:0.766448:0.633475:0.757455:0.633475:0.000000
2:@0.568443:0.649864:0.577436:0.649864:0.577436:0.633475:0.568443:0.633475:0.000000
6:@0.719660:0.649864:0.728653:0.649864:0.728653:0.633475:0.719660:0.633475:0.000000
4:@0.644052:0.649864:0.653044:0.649864:0.653044:0.633475:0.644052:0.633475:0.000000
8:@0.795269:0.649864:0.804262:0.649864:0.804262:0.633475:0.795269:0.633475:0.000000
9:@0.833064:0.649864:0.842057:0.649864:0.842057:0.633475:0.833064:0.633475:0.000000
F:@0.850530:0.774528:0.859044:0.774528:0.859044:0.758139:0.850530:0.758139:0.000000
V:@0.850106:0.794651:0.859486:0.794651:0.859486:0.778262:0.850106:0.778262:0.000000
V:@0.850106:0.814774:0.859486:0.814774:0.859486:0.798385:0.850106:0.798385:0.000000
F:@0.850530:0.834897:0.859044:0.834897:0.859044:0.818508:0.850530:0.818508:0.000000
V:@0.850106:0.855020:0.859486:0.855020:0.859486:0.838631:0.850106:0.838631:0.000000
V:@0.850106:0.875143:0.859486:0.875143:0.859486:0.858754:0.850106:0.858754:0.000000
V:@0.850106:0.895266:0.859486:0.895266:0.859486:0.878877:0.850106:0.878877:0.000000
F:@0.850530:0.915389:0.859044:0.915389:0.859044:0.899000:0.850530:0.899000:0.000000