141:@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 Pensamiento lógico-matemático:@0.096359:0.144876:0.458032:0.144876:0.458032:0.121509:0.096359:0.121509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Con ocho números 8 :@0.096359:0.169166:0.269282:0.169166:0.269282:0.152072:0.096359:0.152072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 forma:@0.269282:0.169166:0.321228:0.169166:0.321228:0.150729:0.269282:0.150729:0.000000:0.000000:0.000000:0.000000:0.000000 una suma. El resultado de esta suma deberá ser 1 000.:@0.321228:0.169166:0.755528:0.169166:0.755528:0.152072:0.321228:0.152072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Secuencias gráficas :@0.096359:0.373899:0.317513:0.373899:0.317513:0.350532:0.096359:0.350532:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Analiza:@0.096359:0.398190:0.160326:0.398190:0.160326:0.379753:0.096359:0.379753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 las figuras y :@0.160326:0.398190:0.261303:0.398190:0.261303:0.381095:0.160326:0.381095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 escoge:@0.261303:0.398190:0.322133:0.398190:0.322133:0.379753:0.261303:0.379753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 , entre las de la izquierda, cuál debe continuar la serie.:@0.322133:0.398190:0.749612:0.398190:0.749612:0.381095:0.322133:0.381095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Estrategias de cálculo mental :@0.117728:0.604465:0.395852:0.604465:0.395852:0.584492:0.117728:0.584492:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Un número es divisible para 11, si la diferencia :@0.117728:0.629384:0.480603:0.629384:0.480603:0.612289:0.117728:0.612289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre la suma de las cifras de posición par y la :@0.117728:0.647489:0.480646:0.647489:0.480646:0.630394:0.117728:0.630394:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 suma de las cifras de posición impar es cero.:@0.117728:0.665594:0.470407:0.665594:0.470407:0.648500:0.117728:0.648500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplos::@0.117728:0.696132:0.191937:0.696132:0.191937:0.679508:0.117728:0.679508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5 1, la suma de las cifras de posición impar:@0.119405:0.726988:0.447801:0.726988:0.447801:0.710364:0.119405:0.710364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 6:@0.128859:0.726988:0.138312:0.726988:0.138312:0.710364:0.128859:0.710364:0.000000 5 + 1 = 6.:@0.119405:0.747789:0.189172:0.747789:0.189172:0.731165:0.119405:0.731165:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La diferencia es 6 – 6 = 0. :@0.119404:0.798560:0.323347:0.798560:0.323347:0.781465:0.119404:0.781465:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Entonces, sí es divisible para 11.:@0.119404:0.816665:0.371190:0.816665:0.371190:0.799571:0.119404:0.799571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 3 8 , la suma de las cifras de posición impar :@0.119404:0.839658:0.468974:0.839658:0.468974:0.823034:0.119404:0.823034:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9 2:@0.132764:0.839658:0.161124:0.839658:0.161124:0.823034:0.132764:0.823034:0.000000:0.000000:0.000000 3 + 8 = 11.:@0.119404:0.856255:0.198624:0.856255:0.198624:0.839631:0.119404:0.839631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La diferencia es 11 – 11 = 0.:@0.121079:0.914579:0.340240:0.914579:0.340240:0.897485:0.121079:0.897485:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Entonces, sí es divisible para 11.:@0.121079:0.939806:0.372865:0.939806:0.372865:0.922712:0.121079:0.922712:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aplica la estrategia:@0.526118:0.615691:0.690799:0.615691:0.690799:0.597254:0.526118:0.597254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Comprueba:@0.526118:0.640918:0.628703:0.640918:0.628703:0.622481:0.526118:0.622481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 si los números son o no :@0.628703:0.640918:0.886683:0.640918:0.886683:0.623824:0.628703:0.623824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 divisibles para 11.:@0.526118:0.659023:0.666054:0.659023:0.666054:0.641929:0.526118:0.641929:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.849031:0.684250:0.853433:0.684250:0.853433:0.667155:0.849031:0.667155:0.000000 a):@0.550067:0.704140:0.565466:0.704140:0.565466:0.686005:0.550067:0.686005:0.000000:0.000000 671:@0.565466:0.704140:0.616910:0.704140:0.616910:0.687046:0.565466:0.687046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b):@0.550067:0.729095:0.567155:0.729095:0.567155:0.710960:0.550067:0.710960:0.000000:0.000000 165:@0.567155:0.729095:0.618598:0.729095:0.618598:0.712001:0.567155:0.712001:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 c):@0.550067:0.754050:0.564783:0.754050:0.564783:0.735915:0.550067:0.735915:0.000000:0.000000 6 985:@0.564783:0.754050:0.617231:0.754050:0.617231:0.736956:0.564783:0.736956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 d):@0.550067:0.779005:0.567115:0.779005:0.567115:0.760870:0.550067:0.760870:0.000000:0.000000 312:@0.567115:0.779005:0.618558:0.779005:0.618558:0.761911:0.567115:0.761911:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 e):@0.550067:0.803960:0.565848:0.803960:0.565848:0.785824:0.550067:0.785824:0.000000:0.000000 9 636:@0.565848:0.803960:0.618297:0.803960:0.618297:0.786865:0.565848:0.786865:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f):@0.550067:0.828915:0.563717:0.828915:0.563717:0.810779:0.550067:0.810779:0.000000:0.000000 4 675:@0.563717:0.828915:0.616166:0.828915:0.616166:0.811820:0.563717:0.811820:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 g):@0.550067:0.853870:0.567014:0.853870:0.567014:0.835734:0.550067:0.835734:0.000000:0.000000 8 756:@0.567014:0.853870:0.615060:0.853870:0.615060:0.836775:0.567014:0.836775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 h):@0.550067:0.878824:0.566934:0.878824:0.566934:0.860689:0.550067:0.860689:0.000000:0.000000 844:@0.566934:0.878824:0.613975:0.878824:0.613975:0.861730:0.566934:0.861730:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 i):@0.550067:0.903779:0.560481:0.903779:0.560481:0.885644:0.550067:0.885644:0.000000:0.000000 275:@0.560481:0.903779:0.616327:0.903779:0.616327:0.886685:0.560481:0.886685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 j):@0.550067:0.928734:0.560662:0.928734:0.560662:0.910599:0.550067:0.910599:0.000000:0.000000 9 724:@0.560662:0.928734:0.617513:0.928734:0.617513:0.911640:0.560662:0.911640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Maya Ediciones, (2020).:@0.831035:0.318510:0.831035:0.249251:0.819647:0.249251:0.819647:0.318510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 141:@0.942817:0.964671:0.976116:0.964671:0.976116:0.945025:0.942817:0.945025:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.701466:0.766274:0.701466:0.766274:0.687221:0.680451:0.687221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.724726:0.769943:0.724726:0.769943:0.710481:0.680451:0.710481:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.750501:0.769943:0.750501:0.769943:0.736255:0.680451:0.736255:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 no es divisible:@0.680451:0.776275:0.778084:0.776275:0.778084:0.762030:0.680451:0.762030:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.802050:0.769943:0.802050:0.769943:0.787805:0.680451:0.787805:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.827825:0.769943:0.827825:0.769943:0.813579:0.680451:0.813579:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.853599:0.766274:0.853599:0.766274:0.839354:0.680451:0.839354:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 no es divisible:@0.680451:0.879374:0.774416:0.879374:0.774416:0.865129:0.680451:0.865129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.905149:0.766274:0.905149:0.766274:0.890903:0.680451:0.890903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sí es divisible:@0.680451:0.930923:0.766274:0.930923:0.766274:0.916678:0.680451:0.916678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Cifra par 6:@0.118203:0.770795:0.192227:0.770795:0.192227:0.755125:0.118203:0.755125:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La suma de las cifras en posición par : :@0.119161:0.874660:0.434902:0.874660:0.434902:0.858991:0.119161:0.858991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 9 + 2 = 11.:@0.119161:0.892944:0.196447:0.892944:0.196447:0.877274:0.119161:0.877274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 888 + 88 + 8 + 8 + 8 =1000:@0.287139:0.232799:0.468182:0.232799:0.468182:0.218554:0.287139:0.218554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ©:@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