28:@0.057273:0.966074:0.076087:0.966074:0.076087:0.949450:0.057273:0.949450:0.000000:0.000000
Tema 5:@0.124729:0.083964:0.219414:0.083964:0.219414:0.055923:0.124729:0.055923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
División exacta de números enteros :@0.305303:0.069847:0.775252:0.069847:0.775252:0.042191:0.305303:0.042191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y operaciones combinadas:@0.305303:0.096258:0.651683:0.096258:0.651683:0.068602:0.305303:0.068602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un avión asciende 32 000 pies en 400 segundos. ¿Cuántos pies asciende en cada :@0.305303:0.228797:0.907692:0.228797:0.907692:0.213128:0.305303:0.213128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
segundo?:@0.305303:0.245394:0.377650:0.245394:0.377650:0.229724:0.305303:0.229724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para conocer cuántos pies asciende por segundo, se realiza una división.:@0.305303:0.269113:0.833452:0.269113:0.833452:0.253443:0.305303:0.253443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.292832:0.309339:0.292832:0.309339:0.277162:0.305303:0.277162:0.000000
 :@0.365611:0.292832:0.369647:0.292832:0.369647:0.277162:0.365611:0.277162:0.000000
 :@0.425921:0.292832:0.429957:0.292832:0.429957:0.277162:0.425921:0.277162:0.000000
32 000 ÷ 400 = 80:@0.486226:0.292832:0.618297:0.292832:0.618297:0.277162:0.486226:0.277162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El avión asciende 80 pies cada segundo.:@0.305303:0.316551:0.598205:0.316551:0.598205:0.300881:0.305303:0.300881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la división se denomina dividendo el número que se va a dividir. El número por :@0.305303:0.340270:0.907592:0.340270:0.907592:0.324600:0.305303:0.324600:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el cual se divide se llama divisor. El resultado se llama cociente. Una división es :@0.305303:0.356866:0.907684:0.356866:0.907684:0.341196:0.305303:0.341196:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
exacta cuando su residuo es cero.:@0.305303:0.373462:0.551290:0.373462:0.551290:0.357793:0.305303:0.357793:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.397181:0.309339:0.397181:0.309339:0.381512:0.305303:0.381512:0.000000
Para resolver divisiones exactas con números enteros se debe tomar en cuenta la :@0.305303:0.492085:0.907646:0.492085:0.907646:0.476415:0.305303:0.476415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ley de signos.:@0.305303:0.508681:0.403521:0.508681:0.403521:0.493012:0.305303:0.493012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cociente de la división entre dos enteros de igual signo es positivo.:@0.305303:0.532400:0.810086:0.532400:0.810086:0.516731:0.305303:0.516731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.553353:0.309339:0.553353:0.309339:0.537684:0.305303:0.537684:0.000000
(–27) ÷ (–9) = 3 :@0.365617:0.553353:0.481693:0.553353:0.481693:0.537684:0.365617:0.537684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–) ÷ (–) = (+):@0.646528:0.553353:0.743347:0.553353:0.743347:0.537684:0.646528:0.537684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.574306:0.309339:0.574306:0.309339:0.558636:0.305303:0.558636:0.000000
    81 ÷ 9 = 9 :@0.365617:0.574306:0.459874:0.574306:0.459874:0.558636:0.365617:0.558636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(+) ÷ (+) = (+):@0.644759:0.574306:0.745116:0.574306:0.745116:0.558636:0.644759:0.558636:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El cociente de la división entre dos enteros de diferente signo es negativo.:@0.305303:0.598025:0.846589:0.598025:0.846589:0.582355:0.305303:0.582355:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.617720:0.309210:0.617720:0.309210:0.601095:0.305303:0.601095:0.000000
 :@0.309210:0.617720:0.313246:0.617720:0.313246:0.602050:0.309210:0.602050:0.000000
(–42 ) ÷ 7 = –6 :@0.365617:0.617720:0.475962:0.617720:0.475962:0.602050:0.365617:0.602050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–) ÷ (+) = (–):@0.646528:0.617720:0.743347:0.617720:0.743347:0.602050:0.646528:0.602050:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.641439:0.309339:0.641439:0.309339:0.625769:0.305303:0.625769:0.000000
120 ÷ (–10) = –12 :@0.365617:0.641439:0.498904:0.641439:0.498904:0.625769:0.365617:0.625769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.546543:0.641439:0.550579:0.641439:0.550579:0.625769:0.546543:0.625769:0.000000
          (+) ÷ (–) = (–):@0.606853:0.641439:0.744028:0.641439:0.744028:0.625769:0.606853:0.625769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.744028:0.641439:0.747935:0.641439:0.747935:0.624814:0.744028:0.624814:0.000000
 :@0.845712:0.641439:0.849619:0.641439:0.849619:0.624814:0.845712:0.624814:0.000000
 :@0.849619:0.641439:0.853654:0.641439:0.853654:0.625769:0.849619:0.625769:0.000000
Otras propiedades del producto de números enteros:@0.305303:0.670687:0.850540:0.670687:0.850540:0.648878:0.305303:0.648878:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para todo  , :@0.305303:0.693468:0.394161:0.693468:0.394161:0.677798:0.305303:0.677798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y :@0.379456:0.693468:0.404960:0.693468:0.404960:0.677107:0.379456:0.677107:0.000000:0.000000:0.000000:0.000000
∈ ℤ :@0.404960:0.694049:0.441244:0.694049:0.441244:0.676443:0.404960:0.676443:0.000000:0.000000:0.000000:0.000000
  se cumplen las siguientes propiedades::@0.420310:0.693468:0.728527:0.693468:0.728527:0.677798:0.420310:0.677798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.333792:0.720755:0.353031:0.720755:0.353031:0.703620:0.333792:0.703620:0.000000:0.000000:0.000000
Todo número entero multiplicado por cero da como resultado cero.:@0.362281:0.720755:0.857961:0.720755:0.857961:0.705086:0.362281:0.705086:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.333792:0.740450:0.337828:0.740450:0.337828:0.724780:0.333792:0.724780:0.000000
0 ·   = 0   :@0.362281:0.740450:0.429950:0.740450:0.429950:0.724780:0.362281:0.724780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.382552:0.740450:0.390015:0.740450:0.390015:0.724088:0.382552:0.724088:0.000000
 :@0.486222:0.740450:0.490258:0.740450:0.490258:0.724780:0.486222:0.724780:0.000000
Ejemplo    :@0.546538:0.740143:0.618104:0.740143:0.618104:0.725030:0.546538:0.725030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 · (–8) = 0:@0.618102:0.740457:0.694393:0.740457:0.694393:0.724788:0.618102:0.724788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.333801:0.764176:0.354182:0.764176:0.354182:0.747040:0.333801:0.747040:0.000000:0.000000:0.000000
Un  número entero negativo  por un  número  entero positivo se  puede :@0.362290:0.764176:0.907718:0.764176:0.907718:0.748506:0.362290:0.748506:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresar de varias formas. Así::@0.362290:0.780773:0.578424:0.780773:0.578424:0.765103:0.362290:0.765103:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(– ) =  (– ) = –( ) :@0.362290:0.800467:0.505694:0.800467:0.505694:0.784797:0.362290:0.784797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y :@0.376387:0.800467:0.399532:0.800467:0.399532:0.784106:0.376387:0.784106:0.000000:0.000000:0.000000:0.000000
x y:@0.414551:0.800467:0.443593:0.800467:0.443593:0.784106:0.414551:0.784106:0.000000:0.000000:0.000000
xy:@0.481627:0.800467:0.496775:0.800467:0.496775:0.784106:0.481627:0.784106:0.000000:0.000000
Ejemplo     :@0.546538:0.800165:0.621655:0.800165:0.621655:0.785052:0.546538:0.785052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–3)(5) = (3)(–5) = –(3)(5):@0.621654:0.800480:0.799241:0.800480:0.799241:0.784810:0.621654:0.784810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.668386:0.800480:0.671703:0.800480:0.671703:0.784118:0.668386:0.784118:0.000000
 = :@0.799241:0.800480:0.818295:0.800480:0.818295:0.784810:0.799241:0.784810:0.000000:0.000000:0.000000
–15:@0.818295:0.800480:0.845494:0.800480:0.845494:0.784810:0.818295:0.784810:0.000000:0.000000:0.000000
c) :@0.333796:0.824199:0.351615:0.824199:0.351615:0.807063:0.333796:0.807063:0.000000:0.000000:0.000000
El producto de dos números enteros negativos es un entero positivo y se :@0.362285:0.824199:0.907739:0.824199:0.907739:0.808529:0.362285:0.808529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
puede expresar así::@0.362285:0.840795:0.502370:0.840795:0.502370:0.825125:0.362285:0.825125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.305303:0.860188:0.308855:0.860188:0.308855:0.845075:0.305303:0.845075:0.000000
(– )(– ) = :@0.365612:0.860502:0.437572:0.860502:0.437572:0.844832:0.365612:0.844832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.379709:0.860502:0.387172:0.860502:0.387172:0.844141:0.379709:0.844141:0.000000
y:@0.406153:0.860502:0.413634:0.860502:0.413634:0.844141:0.406153:0.844141:0.000000
xy:@0.437572:0.860502:0.452719:0.860502:0.452719:0.844141:0.437572:0.844141:0.000000:0.000000
Ejemplo    :@0.546538:0.860188:0.618104:0.860188:0.618104:0.845075:0.546538:0.845075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–4)(–5) = 20:@0.618102:0.860502:0.711088:0.860502:0.711088:0.844832:0.618102:0.844832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.333801:0.884221:0.354292:0.884221:0.354292:0.867085:0.333801:0.867085:0.000000:0.000000:0.000000
El producto de dos números enteros  ,   es cero, si y solo si   o   son cero.:@0.362290:0.884221:0.898107:0.884221:0.898107:0.868551:0.362290:0.868551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x y:@0.634333:0.884221:0.656520:0.884221:0.656520:0.867860:0.634333:0.867860:0.000000:0.000000:0.000000
x y:@0.795594:0.884221:0.828413:0.884221:0.828413:0.867860:0.795594:0.867860:0.000000:0.000000:0.000000
 :@0.305303:0.901098:0.308855:0.901098:0.308855:0.885985:0.305303:0.885985:0.000000
xy:@0.365612:0.901412:0.380759:0.901412:0.380759:0.885051:0.365612:0.885051:0.000000:0.000000
 = :@0.380758:0.901098:0.396773:0.901098:0.396773:0.886224:0.380758:0.886224:0.000000:0.000000:0.000000
0   :@0.396773:0.901412:0.431293:0.901412:0.431293:0.885742:0.396773:0.885742:0.000000:0.000000:0.000000:0.000000
⇔:@0.409801:0.901714:0.427257:0.901714:0.427257:0.887556:0.409801:0.887556:0.000000
x:@0.431293:0.901412:0.438756:0.901412:0.438756:0.885051:0.431293:0.885051:0.000000
 = :@0.438756:0.901098:0.454771:0.901098:0.454771:0.886224:0.438756:0.886224:0.000000:0.000000:0.000000
0               :@0.454771:0.901412:0.530363:0.901412:0.530363:0.885742:0.454771:0.885742:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∨:@0.492012:0.901714:0.502114:0.901714:0.502114:0.887556:0.492012:0.887556:0.000000
y:@0.530363:0.901412:0.537845:0.901412:0.537845:0.885051:0.530363:0.885051:0.000000
 = :@0.537845:0.901098:0.553860:0.901098:0.553860:0.886224:0.537845:0.886224:0.000000:0.000000:0.000000
0:@0.553860:0.901412:0.562853:0.901412:0.562853:0.885742:0.553860:0.885742:0.000000
Para dividir dos números enteros, se dividen sus valores absolutos. Si los :@0.330157:0.407968:0.834672:0.407968:0.834672:0.393723:0.330157:0.393723:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números tienen igual signo, el resultado es positivo; si tienen signos diferentes, :@0.330157:0.423055:0.884477:0.423055:0.884477:0.408810:0.330157:0.408810:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el resultado es negativo.:@0.330157:0.438143:0.499122:0.438143:0.499122:0.423898:0.330157:0.423898:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si   y 0 :@0.330157:0.458298:0.382760:0.458298:0.382760:0.444052:0.330157:0.444052:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.346105:0.458298:0.354532:0.458298:0.354532:0.443424:0.346105:0.443424:0.000000
∈ ℤ:@0.383093:0.459199:0.414770:0.459199:0.414770:0.441593:0.383093:0.441593:0.000000:0.000000:0.000000
 :@0.398443:0.458618:0.402479:0.458618:0.402479:0.442948:0.398443:0.442948:0.000000
, expresiones como     0 no están definidas.:@0.414770:0.458304:0.723835:0.458304:0.723835:0.444059:0.414770:0.444059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.553530:0.458304:0.561957:0.458304:0.561957:0.443430:0.553530:0.443430:0.000000
÷:@0.566296:0.458304:0.576280:0.458304:0.576280:0.443191:0.566296:0.443191:0.000000
¿Qué números, cuyo cociente sea entero, pueden tener como divisor a 8?:@0.312570:0.162443:0.850283:0.162443:0.850283:0.146774:0.312570:0.146774:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
300:@0.329321:0.186162:0.356299:0.186162:0.356299:0.170493:0.329321:0.170493:0.000000:0.000000:0.000000
–32:@0.424813:0.186162:0.452012:0.186162:0.452012:0.170493:0.424813:0.170493:0.000000:0.000000:0.000000
76:@0.525336:0.186162:0.543321:0.186162:0.543321:0.170493:0.525336:0.170493:0.000000:0.000000
–53:@0.627517:0.186162:0.654716:0.186162:0.654716:0.170493:0.627517:0.170493:0.000000:0.000000:0.000000
–78:@0.728040:0.186162:0.755239:0.186162:0.755239:0.170493:0.728040:0.170493:0.000000:0.000000:0.000000
98:@0.833575:0.186162:0.851560:0.186162:0.851560:0.170493:0.833575:0.170493:0.000000:0.000000
Desequilibrio cognitivo:@0.345775:0.136123:0.523530:0.136123:0.523530:0.119222:0.345775:0.119222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 523950889. :@0.091447:0.289594:0.091447:0.212663:0.080059:0.212663:0.080059:0.289594:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⇔:@0.105857:0.871540:0.123313:0.871540:0.123313:0.857382:0.105857:0.857382:0.000000
:  si y solo si:@0.123313:0.870924:0.199067:0.870924:0.199067:0.856678:0.123313:0.856678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∨:@0.105857:0.893379:0.114948:0.893379:0.114948:0.880638:0.105857:0.880638:0.000000
 :  o:@0.114948:0.893139:0.137782:0.893139:0.137782:0.878894:0.114948:0.878894:0.000000:0.000000:0.000000:0.000000:0.000000
Simbología matemática:@0.104550:0.850917:0.267782:0.850917:0.267782:0.834017:0.104550:0.834017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.4. :@0.095310:0.927473:0.137362:0.927473:0.137362:0.916718:0.095310:0.916718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Deducir y aplicar las propiedades algebraicas (adición y multiplicación) de los números enteros en operaciones numéricas. :@0.137362:0.927473:0.709364:0.927473:0.709364:0.917501:0.137362:0.917501:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.4.1.7. :@0.095310:0.936274:0.137362:0.936274:0.137362:0.925519:0.095310:0.925519:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Realizar operaciones combinadas en ℤ aplicando el orden de operación, y verificar resultados utilizando la tecnología.:@0.137362:0.936274:0.684134:0.936274:0.684134:0.926302:0.137362:0.926302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Matemática :@0.144706:0.395441:0.230696:0.395441:0.230696:0.380329:0.144706:0.380329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y Meteorología:@0.133248:0.410529:0.238602:0.410529:0.238602:0.395416:0.133248:0.395416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En la meteorología se :@0.105372:0.425617:0.252540:0.425617:0.252540:0.411371:0.105372:0.411371:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
utiliza la división de :@0.105372:0.440704:0.238754:0.440704:0.238754:0.426459:0.105372:0.426459:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
números enteros para :@0.105372:0.455792:0.255639:0.455792:0.255639:0.441547:0.105372:0.441547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificar los cambios :@0.105372:0.470879:0.258321:0.470879:0.258321:0.456634:0.105372:0.456634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de temperatura y :@0.105372:0.485967:0.224448:0.485967:0.224448:0.471722:0.105372:0.471722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conocer cuántos grados :@0.105372:0.501055:0.270148:0.501055:0.270148:0.486809:0.105372:0.486809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ha bajado o subido por :@0.105372:0.516142:0.264302:0.516142:0.264302:0.501897:0.105372:0.501897:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minuto. :@0.105372:0.531230:0.160738:0.531230:0.160738:0.516985:0.105372:0.516985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Por ejemplo, si la :@0.105372:0.553446:0.220660:0.553446:0.220660:0.539201:0.105372:0.539201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
temperatura baja de :@0.105372:0.568534:0.245120:0.568534:0.245120:0.554289:0.105372:0.554289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
0 °C a –28 °C en 7 :@0.105372:0.583622:0.225788:0.583622:0.225788:0.569376:0.105372:0.569376:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minutos, se puede :@0.105372:0.598709:0.232321:0.598709:0.232321:0.584464:0.105372:0.584464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
determinar que en cada :@0.105372:0.613797:0.269292:0.613797:0.269292:0.599552:0.105372:0.599552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
minuto bajó 4 °C.:@0.105372:0.628884:0.220377:0.628884:0.220377:0.614639:0.105372:0.614639:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–28 ÷ 7 = –4 °C:@0.105372:0.651101:0.207612:0.651101:0.207612:0.636856:0.105372:0.636856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Shutterstock, 732447763.:@0.090398:0.776227:0.090398:0.700949:0.079010:0.700949:0.079010:0.776227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Interdisciplinariedad:@0.117973:0.375274:0.270852:0.375274:0.270852:0.358374:0.117973:0.358374:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000