209:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000 Desarrollo del pensamiento:@0.554983:0.090773:0.884748:0.090773:0.884748:0.065849:0.554983:0.065849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Razonamiento numérico:@0.096359:0.144876:0.370108:0.144876:0.370108:0.121509:0.096359:0.121509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.096359:0.188534:0.100762:0.188534:0.100762:0.171439:0.096359:0.171439:0.000000 = 2 :@0.208312:0.188534:0.247714:0.188534:0.247714:0.171439:0.208312:0.171439:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.277285:0.188534:0.281687:0.188534:0.281687:0.171439:0.277285:0.171439:0.000000 = 3 :@0.379448:0.188534:0.414447:0.188534:0.414447:0.171439:0.379448:0.171439:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.458201:0.188534:0.462603:0.188534:0.462603:0.171439:0.458201:0.171439:0.000000 = 4:@0.556614:0.188534:0.587211:0.188534:0.587211:0.171439:0.556614:0.171439:0.000000:0.000000:0.000000:0.000000 ¿Cuál es el camino que hay que seguir en el circuito para sumar 51? :@0.096339:0.213760:0.660225:0.213760:0.660225:0.196666:0.096339:0.196666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Sigue:@0.661853:0.213760:0.716472:0.213760:0.716472:0.195323:0.661853:0.195323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el camino en una sola :@0.716472:0.213760:0.907952:0.213760:0.907952:0.196666:0.716472:0.196666:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 línea y no puedes pasar por un mismo punto más de una vez.:@0.096339:0.231865:0.588550:0.231865:0.588550:0.214771:0.096339:0.214771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Pon:@0.096339:0.491478:0.129911:0.491478:0.129911:0.473041:0.096339:0.473041:0.000000:0.000000:0.000000 cuatro números en cada lado del triángulo, de manera que la suma en cada uno de los lados :@0.129911:0.491478:0.908089:0.491478:0.908089:0.474383:0.129911:0.474383:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sea 60. :@0.096339:0.509583:0.154637:0.509583:0.154637:0.492489:0.096339:0.492489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Utiliza:@0.154637:0.509583:0.209799:0.509583:0.209799:0.491146:0.154637:0.491146:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 los números de las cajas.:@0.209799:0.509583:0.409698:0.509583:0.409698:0.492489:0.209799:0.492489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.148305:0.715305:0.152466:0.715305:0.152466:0.696868:0.148305:0.696868:0.000000 Estrategias de cálculo mental :@0.117728:0.730195:0.395852:0.730195:0.395852:0.710222:0.117728:0.710222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Multiplicar un número por 25:@0.117728:0.760143:0.371684:0.760143:0.371684:0.741706:0.117728:0.741706:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para multiplicar un número por 25 y hacer los :@0.119397:0.810611:0.480686:0.810611:0.480686:0.793517:0.119397:0.793517:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cálculos de una manera más fácil, primero se :@0.119397:0.828716:0.480644:0.828716:0.480644:0.811622:0.119397:0.811622:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 multiplica por 100 y luego se divide entre 4.:@0.119397:0.846821:0.468256:0.846821:0.468256:0.829727:0.119397:0.829727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 40 × 25 = 400 × 100 4 000 ÷ 4 = 1 000 :@0.119397:0.872048:0.441726:0.872048:0.441726:0.854953:0.119397:0.854953:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 26 × 25 = 26 × 100 2 600 ÷ 4 = 650 :@0.121085:0.897274:0.427514:0.897274:0.427514:0.880180:0.121085:0.880180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplica la estrategia:@0.526118:0.726334:0.704522:0.726334:0.704522:0.706360:0.526118:0.706360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a):@0.550067:0.763233:0.565466:0.763233:0.565466:0.745098:0.550067:0.745098:0.000000:0.000000 60 × 25 = :@0.565466:0.763233:0.663890:0.763233:0.663890:0.746139:0.565466:0.746139:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.550067:0.788188:0.567155:0.788188:0.567155:0.770053:0.550067:0.770053:0.000000:0.000000 40 × 25 = :@0.567155:0.788188:0.663186:0.788188:0.663186:0.771094:0.567155:0.771094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c):@0.550067:0.813143:0.564783:0.813143:0.564783:0.795008:0.550067:0.795008:0.000000:0.000000 80 × 25 = :@0.564783:0.813143:0.663206:0.813143:0.663206:0.796049:0.564783:0.796049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d):@0.550067:0.838098:0.567115:0.838098:0.567115:0.819963:0.550067:0.819963:0.000000:0.000000 120 × 25 = :@0.567115:0.838098:0.663347:0.838098:0.663347:0.821004:0.567115:0.821004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e):@0.550067:0.863053:0.565848:0.863053:0.565848:0.844918:0.550067:0.844918:0.000000:0.000000 160 × 25 = :@0.565848:0.863053:0.663287:0.863053:0.663287:0.845959:0.565848:0.845959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f):@0.550067:0.888008:0.563717:0.888008:0.563717:0.869872:0.550067:0.869872:0.000000:0.000000 240 × 25 = :@0.563717:0.888008:0.663568:0.888008:0.663568:0.870914:0.563717:0.870914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g):@0.550067:0.912963:0.567014:0.912963:0.567014:0.894827:0.550067:0.894827:0.000000:0.000000 800 × 25 = :@0.567014:0.912963:0.667649:0.912963:0.667649:0.895868:0.567014:0.895868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 15:@0.181523:0.600262:0.201144:0.600262:0.201144:0.583168:0.181523:0.583168:0.000000:0.000000 17:@0.267950:0.590640:0.287571:0.590640:0.287571:0.573546:0.267950:0.573546:0.000000:0.000000 1:@0.353584:0.589214:0.363394:0.589214:0.363394:0.572120:0.353584:0.572120:0.000000 16:@0.426081:0.598480:0.445702:0.598480:0.445702:0.581386:0.426081:0.581386:0.000000:0.000000 14:@0.372422:0.633408:0.392042:0.633408:0.392042:0.616314:0.372422:0.616314:0.000000:0.000000 6:@0.242463:0.641962:0.252274:0.641962:0.252274:0.624867:0.242463:0.624867:0.000000 8:@0.177881:0.661920:0.187691:0.661920:0.187691:0.644826:0.177881:0.644826:0.000000 23:@0.304990:0.659068:0.324610:0.659068:0.324610:0.641974:0.304990:0.641974:0.000000:0.000000 20:@0.443653:0.659781:0.463273:0.659781:0.463273:0.642687:0.443653:0.642687:0.000000:0.000000 209:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000 Varios caminos:@0.192516:0.343803:0.292009:0.343803:0.292009:0.329557:0.192516:0.329557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 23:@0.718391:0.536170:0.734741:0.536170:0.734741:0.521925:0.718391:0.521925:0.000000:0.000000 14:@0.756385:0.582149:0.772735:0.582149:0.772735:0.567904:0.756385:0.567904:0.000000:0.000000 6:@0.798668:0.627060:0.806843:0.627060:0.806843:0.612815:0.798668:0.612815:0.000000 17:@0.827616:0.668400:0.843966:0.668400:0.843966:0.654155:0.827616:0.654155:0.000000:0.000000 8:@0.758060:0.669657:0.766235:0.669657:0.766235:0.655412:0.758060:0.655412:0.000000 15:@0.682306:0.669657:0.698656:0.669657:0.698656:0.655412:0.682306:0.655412:0.000000:0.000000 20:@0.609182:0.669657:0.625532:0.669657:0.625532:0.655412:0.609182:0.655412:0.000000:0.000000 1:@0.652202:0.625161:0.660377:0.625161:0.660377:0.610916:0.652202:0.610916:0.000000 16:@0.685908:0.581445:0.702258:0.581445:0.702258:0.567200:0.685908:0.567200:0.000000:0.000000 1 500:@0.769904:0.760937:0.806274:0.760937:0.806274:0.746692:0.769904:0.746692:0.000000:0.000000:0.000000:0.000000:0.000000 1 000:@0.769904:0.786083:0.806274:0.786083:0.806274:0.771838:0.769904:0.771838:0.000000:0.000000:0.000000:0.000000:0.000000 2 000:@0.769904:0.811229:0.806274:0.811229:0.806274:0.796984:0.769904:0.796984:0.000000:0.000000:0.000000:0.000000:0.000000 3 000:@0.769904:0.836375:0.806274:0.836375:0.806274:0.822130:0.769904:0.822130:0.000000:0.000000:0.000000:0.000000:0.000000 4 000:@0.769904:0.861521:0.806274:0.861521:0.806274:0.847276:0.769904:0.847276:0.000000:0.000000:0.000000:0.000000:0.000000 6 000:@0.769904:0.886668:0.806274:0.886668:0.806274:0.872422:0.769904:0.872422:0.000000:0.000000:0.000000:0.000000:0.000000 20 000:@0.765817:0.911814:0.810361:0.911814:0.810361:0.897568:0.765817:0.897568:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000 maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000 ®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000