﻿29:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la multiplicación de números enteros:@0.096359:0.100614:0.633455:0.100614:0.633455:0.079104:0.096359:0.079104:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación de números enteros cumple con las siguientes propiedades::@0.096359:0.130523:0.667061:0.130523:0.667061:0.114134:0.096359:0.114134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096359:0.544118:0.155954:0.544118:0.155954:0.527481:0.096359:0.527481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Completamos la siguiente expresión y escribimos la propiedad que cumple.:@0.096359:0.567837:0.652443:0.567837:0.652443:0.551448:0.096359:0.551448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(    ) × (–3) + (    ) × 5 = 6 × (–3 +     ) = 12:@0.257804:0.591556:0.551061:0.591556:0.551061:0.575167:0.257804:0.575167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.615275:0.160137:0.615275:0.160137:0.598637:0.096359:0.598637:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(6) × (−3) + (6) × (5) = 6 × (−3 + 5) = 12           Propiedad distributiva.:@0.157391:0.638994:0.651466:0.638994:0.651466:0.622605:0.157391:0.622605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096359:0.666282:0.155954:0.666282:0.155954:0.649644:0.096359:0.649644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicamos la propiedad asociativa de dos maneras diferentes.:@0.096359:0.690000:0.546668:0.690000:0.546668:0.673612:0.096359:0.673612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−3 × 7 × (−5) × (−4) =:@0.324125:0.713719:0.484758:0.713719:0.484758:0.697331:0.324125:0.697331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.737438:0.160137:0.737438:0.160137:0.720801:0.096359:0.720801:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(−3 × 7) × [(−5) × (−4)] = −21 × 20 = −420 ;:@0.247208:0.754035:0.561675:0.754035:0.561675:0.737646:0.247208:0.737646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−3 × [7 × (−5)] × (−4) = −3 × (−35) × (−4) = −420:@0.225445:0.777754:0.583457:0.777754:0.583457:0.761365:0.225445:0.761365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo:@0.096378:0.808609:0.155973:0.808609:0.155973:0.791971:0.096378:0.791971:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos la operación aplicando propiedades. −5 × 7 × (−2) =:@0.096378:0.832328:0.570497:0.832328:0.570497:0.815939:0.096378:0.815939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096378:0.856047:0.160156:0.856047:0.160156:0.839409:0.096378:0.839409:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad asociativa:@0.096378:0.879766:0.247410:0.879766:0.247410:0.863377:0.096378:0.863377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(−5 × 7) × (−2) = −35 × (−2) = 70;      −5 × (7 × (−2)) = −5 × (−14) = 70:@0.150297:0.903485:0.658605:0.903485:0.658605:0.887096:0.150297:0.887096:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.114646:0.163581:0.197294:0.163581:0.197294:0.146681:0.114646:0.146681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.306035:0.163581:0.390544:0.163581:0.390544:0.146681:0.306035:0.146681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.506491:0.163581:0.664969:0.163581:0.664969:0.146681:0.506491:0.146681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.772346:0.163581:0.845486:0.163581:0.845486:0.146681:0.772346:0.146681:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa:@0.103737:0.207396:0.193000:0.207396:0.193000:0.191007:0.103737:0.191007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al multiplicar dos números :@0.222447:0.190799:0.423858:0.190799:0.423858:0.174410:0.222447:0.174410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enteros, se obtiene como resulta-:@0.222447:0.207396:0.467126:0.207396:0.467126:0.191007:0.222447:0.191007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
do otro número entero.:@0.222447:0.223992:0.394891:0.223992:0.394891:0.207603:0.222447:0.207603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.499623:0.207211:0.508893:0.207211:0.514342:0.190849:0.505073:0.190849:0.000000
,:@0.510364:0.207237:0.513571:0.207237:0.513571:0.190848:0.510364:0.190848:0.000000
b:@0.512710:0.207211:0.522883:0.207211:0.528342:0.190822:0.518170:0.190822:0.000000
;:@0.557377:0.207237:0.560583:0.207237:0.560583:0.190848:0.557377:0.190848:0.000000
a:@0.568637:0.207211:0.577906:0.207211:0.583356:0.190849:0.574087:0.190849:0.000000
b c c:@0.591259:0.207211:0.648247:0.207211:0.653707:0.190822:0.596718:0.190822:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.606557:0.207915:0.616673:0.207915:0.616673:0.192342:0.606557:0.192342:0.000000
;:@0.629382:0.207237:0.632588:0.207237:0.632588:0.190848:0.629382:0.190848:0.000000
(–3) (+4) = –12:@0.754916:0.207394:0.862920:0.207394:0.862920:0.191005:0.754916:0.191005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103738:0.259507:0.198991:0.259507:0.198991:0.243118:0.103738:0.243118:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los factores no altera :@0.222449:0.251209:0.464880:0.251209:0.464880:0.234820:0.222449:0.234820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el producto.:@0.222449:0.267805:0.311029:0.267805:0.311029:0.251416:0.222449:0.251416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×=×:@0.591027:0.259442:0.652152:0.259442:0.652152:0.243869:0.591027:0.243869:0.000000:0.000000:0.000000
ab:@0.515013:0.258764:0.538729:0.258764:0.538729:0.242403:0.515013:0.242403:0.000000:0.000000
ab ba:@0.578939:0.258764:0.664535:0.258764:0.664535:0.242403:0.578939:0.242403:0.000000:0.000000:0.000000:0.000000:0.000000
(–3) (4) = (4) (–3):@0.748622:0.251209:0.869212:0.251209:0.869212:0.234820:0.748622:0.234820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–12 = –12:@0.772191:0.267805:0.845643:0.267805:0.845643:0.251416:0.772191:0.251416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.103728:0.312422:0.177715:0.312422:0.177715:0.296033:0.103728:0.296033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Al agrupar de diferente forma los :@0.222439:0.295825:0.461740:0.295825:0.461740:0.279436:0.222439:0.279436:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
factores en una multiplicación, el :@0.222439:0.312422:0.462070:0.312422:0.462070:0.296033:0.222439:0.296033:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
producto no se altera.:@0.222439:0.329018:0.378798:0.329018:0.378798:0.312629:0.222439:0.312629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.529554:0.323923:0.509837:0.323923:0.509837:0.308351:0.529554:0.308351:0.000000
×:@0.559389:0.323923:0.539671:0.323923:0.539671:0.308351:0.559389:0.308351:0.000000
=×:@0.584321:0.323923:0.620513:0.323923:0.620513:0.308351:0.584321:0.308351:0.000000:0.000000
×:@0.640231:0.323923:0.650347:0.323923:0.650347:0.308351:0.640231:0.308351:0.000000
:@0.582091:0.303385:0.594383:0.303385:0.594383:0.286637:0.582091:0.286637:0.000000
ab c:@0.525426:0.302514:0.562871:0.302514:0.562871:0.286153:0.525426:0.286153:0.000000:0.000000:0.000000:0.000000
ab:@0.517668:0.323246:0.551483:0.323246:0.551483:0.306885:0.517668:0.306885:0.000000:0.000000
ca:@0.572435:0.323246:0.607779:0.323246:0.607779:0.306885:0.572435:0.306885:0.000000:0.000000
,,:@0.535312:0.302510:0.553224:0.302510:0.553224:0.286121:0.535312:0.286121:0.000000:0.000000
;:@0.594686:0.302510:0.597892:0.302510:0.597892:0.286121:0.594686:0.286121:0.000000
(:@0.511596:0.323242:0.516479:0.323242:0.516479:0.306853:0.511596:0.306853:0.000000
):@0.552487:0.323242:0.557370:0.323242:0.557370:0.306853:0.552487:0.306853:0.000000
+:@0.707185:0.304071:0.686417:0.304071:0.686417:0.288498:0.707185:0.288498:0.000000
−:@0.738070:0.304071:0.717302:0.304071:0.717302:0.288498:0.738070:0.288498:0.000000
−= +:@0.776878:0.304071:0.795103:0.304071:0.795103:0.288498:0.776878:0.288498:0.000000:0.000000:0.000000:0.000000
−:@0.860282:0.304071:0.832751:0.304071:0.832751:0.288498:0.860282:0.288498:0.000000
−:@0.890429:0.304071:0.900546:0.304071:0.900546:0.288498:0.890429:0.288498:0.000000
(4)( 2) (3)( 4) (2)( 3):@0.701104:0.303393:0.914348:0.303393:0.914348:0.287004:0.701104:0.287004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
24 = 24:@0.781411:0.326462:0.836436:0.326462:0.836436:0.310073:0.781411:0.310073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Elemento :@0.103735:0.370733:0.178439:0.370733:0.178439:0.354344:0.103735:0.354344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.103735:0.387329:0.153066:0.387329:0.153066:0.370940:0.103735:0.370940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación de un número :@0.222446:0.354136:0.461191:0.354136:0.461191:0.337748:0.222446:0.337748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero con 1 da como producto :@0.222446:0.370733:0.462057:0.370733:0.462057:0.354344:0.222446:0.354344:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo número entero, 1 es el :@0.222446:0.387329:0.461874:0.387329:0.461874:0.370940:0.222446:0.370940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento neutro.:@0.222446:0.403926:0.349761:0.403926:0.349761:0.387537:0.222446:0.387537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(–2) × 1 = 1 × (–2):@0.743370:0.370732:0.874464:0.370732:0.874464:0.354343:0.743370:0.354343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 = –2:@0.781184:0.387328:0.836651:0.387328:0.836651:0.370939:0.781184:0.370939:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva:@0.103728:0.468097:0.187685:0.468097:0.187685:0.451708:0.103728:0.451708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un número entero multiplicado :@0.222439:0.434904:0.459767:0.434904:0.459767:0.418515:0.222439:0.418515:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por una adición o sustracción es :@0.222439:0.451501:0.462699:0.451501:0.462699:0.435112:0.222439:0.435112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a la suma o resta de los :@0.222439:0.468097:0.435866:0.468097:0.435866:0.451708:0.222439:0.451708:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
productos del número por cada :@0.222439:0.484693:0.460301:0.484693:0.460301:0.468304:0.222439:0.468304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento.:@0.222439:0.501290:0.296387:0.501290:0.296387:0.484901:0.222439:0.484901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
±:@0.531608:0.478418:0.511725:0.478418:0.511725:0.462845:0.531608:0.462845:0.000000
=:@0.561608:0.478418:0.541725:0.478418:0.541725:0.462845:0.561608:0.462845:0.000000
×±×:@0.587462:0.478418:0.648255:0.478418:0.648255:0.462845:0.587462:0.462845:0.000000:0.000000:0.000000
:@0.572665:0.457880:0.584956:0.457880:0.584956:0.441132:0.572665:0.441132:0.000000
ab c:@0.517363:0.457009:0.554292:0.457009:0.554292:0.440648:0.517363:0.440648:0.000000:0.000000:0.000000:0.000000
ab c:@0.504335:0.477740:0.552523:0.477740:0.552523:0.461379:0.504335:0.461379:0.000000:0.000000:0.000000:0.000000
a ba:@0.575374:0.477740:0.635319:0.477740:0.635319:0.461379:0.575374:0.461379:0.000000:0.000000:0.000000:0.000000
,,:@0.527259:0.457009:0.544913:0.457009:0.544913:0.440620:0.527259:0.440620:0.000000:0.000000
;:@0.585288:0.457009:0.588494:0.457009:0.588494:0.440620:0.585288:0.440620:0.000000
(:@0.513438:0.477740:0.518322:0.477740:0.518322:0.461352:0.513438:0.461352:0.000000
):@0.553961:0.477740:0.558844:0.477740:0.558844:0.461352:0.553961:0.461352:0.000000
c:@0.651019:0.477740:0.659238:0.477740:0.659238:0.461352:0.651019:0.461352:0.000000
  −2(3 + 4) = −2 x 3 + −2 x 4:@0.697328:0.451504:0.911518:0.451504:0.911518:0.435115:0.697328:0.435115:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.697328:0.468101:0.701363:0.468101:0.701363:0.451712:0.697328:0.451712:0.000000
−2(7) = −6 −8:@0.744783:0.468101:0.846558:0.468101:0.846558:0.451712:0.744783:0.451712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   :@0.697328:0.484697:0.709435:0.484697:0.709435:0.468308:0.697328:0.468308:0.000000:0.000000:0.000000
−14 = −14:@0.754549:0.484697:0.831540:0.484697:0.831540:0.468308:0.754549:0.468308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando hay dificultades :@0.755242:0.589199:0.919734:0.589199:0.919734:0.574300:0.755242:0.574300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la expresión oral, es :@0.755242:0.604287:0.909045:0.604287:0.909045:0.589387:0.755242:0.589387:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
importante buscar :@0.755242:0.619374:0.882710:0.619374:0.882710:0.604475:0.755242:0.604475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
métodos alternativos de :@0.755242:0.634462:0.920888:0.634462:0.920888:0.619563:0.755242:0.619563:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comunicación.:@0.755242:0.649549:0.853579:0.649549:0.853579:0.634650:0.755242:0.634650:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Necesidades:@0.780026:0.549843:0.874980:0.549843:0.874980:0.532942:0.780026:0.532942:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
educativas:@0.785120:0.563673:0.866544:0.563673:0.866544:0.546773:0.785120:0.546773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En economía y finanzas, :@0.755242:0.758489:0.918091:0.758489:0.918091:0.743590:0.755242:0.743590:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números negativos :@0.755242:0.773577:0.909715:0.773577:0.909715:0.758678:0.755242:0.758678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresan pérdidas o :@0.755242:0.788665:0.893147:0.788665:0.893147:0.773766:0.755242:0.773766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saldos en contra. :@0.755242:0.803752:0.871035:0.803752:0.871035:0.788853:0.755242:0.788853:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Mantener el control de:@0.755242:0.818840:0.907922:0.818840:0.907922:0.803941:0.755242:0.803941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los gastos ayuda a tener :@0.755242:0.833928:0.918843:0.833928:0.918843:0.819028:0.755242:0.819028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una economía sana.:@0.755242:0.849015:0.888642:0.849015:0.888642:0.834116:0.755242:0.834116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analiza: si una persona :@0.755242:0.867661:0.904739:0.867661:0.904739:0.852787:0.755242:0.852787:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
gasta más de lo que gana, :@0.755242:0.882749:0.925112:0.882749:0.925112:0.867875:0.755242:0.867875:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿qué le puede pasar?:@0.755242:0.897836:0.885961:0.897836:0.885961:0.882962:0.755242:0.882962:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación :@0.802719:0.719132:0.884403:0.719132:0.884403:0.702232:0.802719:0.702232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.802544:0.732962:0.877593:0.732962:0.877593:0.716062:0.802544:0.716062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.807437:0.732962:0.811060:0.732962:0.811060:0.716062:0.807437:0.716062:0.000000