21:@0.942817:0.963099:0.961632:0.963099:0.961632:0.946475:0.942817:0.946475:0.000000:0.000000
M.3.1.9. Reconocer términos y realizar multiplicaciones entre números naturales, aplicando el algoritmo de la multiplicación y con el uso de la tecnología.:@0.105857:0.083954:0.849098:0.083954:0.849098:0.073375:0.105857:0.073375:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.10. Aplicar las propiedades de la multiplicación en el cálculo escrito y mental, y la resolución de ejercicios y problemas.:@0.105857:0.094515:0.708740:0.094515:0.708740:0.083936:0.105857:0.083936:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la multiplicación:@0.096359:0.133760:0.379367:0.133760:0.379367:0.115323:0.096359:0.115323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.107641:0.174848:0.210743:0.174848:0.210743:0.157947:0.107641:0.157947:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los factores no altera el producto.:@0.229152:0.166550:0.560162:0.166550:0.560162:0.150161:0.229152:0.150161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 5 = 5 × 3:@0.229152:0.183146:0.322286:0.183146:0.322286:0.166757:0.229152:0.166757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.118310:0.232977:0.200074:0.232977:0.200074:0.216076:0.118310:0.216076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los factores de una multiplicación de números naturales :@0.229147:0.207913:0.651674:0.207913:0.651674:0.191360:0.229147:0.191360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se pueden agrupar de distintas maneras y el producto no :@0.229147:0.224675:0.657202:0.224675:0.657202:0.208123:0.229147:0.208123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cambia.:@0.229147:0.241438:0.286993:0.241438:0.286993:0.224885:0.229147:0.224885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(7 × 3) × 2 = 42          7 × ( 3 × 2) = 42:@0.229147:0.258200:0.500006:0.258200:0.500006:0.241647:0.229147:0.241647:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva:@0.112266:0.302556:0.206116:0.302556:0.206116:0.285655:0.112266:0.285655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se aplica la propiedad con respecto a la suma y la resta.:@0.229147:0.285879:0.638216:0.285879:0.638216:0.269327:0.229147:0.269327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × ( 3 + 2) = ( 3 × 3) + ( 3 × 2) = 9 + 6 = 15:@0.229147:0.302642:0.544079:0.302642:0.544079:0.286089:0.229147:0.286089:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 × ( 5 – 2) = ( 8 × 5) – ( 8 × 2) = 40 – 16 = 24:@0.229147:0.319404:0.556884:0.319404:0.556884:0.302851:0.229147:0.302851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Del elemento :@0.105826:0.356227:0.216371:0.356227:0.216371:0.339327:0.105826:0.339327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.132288:0.372824:0.186078:0.372824:0.186078:0.355923:0.132288:0.355923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todo número natural multiplicado por 1 da como resultado el :@0.229147:0.347849:0.691078:0.347849:0.691078:0.331296:0.229147:0.331296:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mismo número. El módulo de la multiplicación es 1.:@0.229147:0.364612:0.612236:0.364612:0.612236:0.348059:0.229147:0.348059:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 5 = 15          3 × 5 × 1 = 15:@0.229147:0.381374:0.447874:0.381374:0.447874:0.364821:0.229147:0.364821:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.419384:0.172815:0.419384:0.172815:0.402760:0.096359:0.402760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver las multiplicaciones aplicando las propiedades solicitadas.:@0.096359:0.444932:0.628955:0.444932:0.628955:0.427054:0.096359:0.427054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.120101:0.477205:0.135499:0.477205:0.135499:0.459070:0.120101:0.459070:0.000000:0.000000
  10 × 4 × 2    conmutativa:@0.135499:0.477205:0.362598:0.477212:0.362598:0.459334:0.135499:0.459326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.120117:0.509485:0.137205:0.509485:0.137205:0.491349:0.120117:0.491349:0.000000:0.000000
  8 × 9 × 3    asociativa:@0.137205:0.509485:0.339299:0.509486:0.339299:0.491607:0.137205:0.491606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.120117:0.541758:0.134833:0.541758:0.134833:0.523623:0.120117:0.523623:0.000000:0.000000
  7 × (2 + 5)    distributiva:@0.134833:0.541758:0.350575:0.541760:0.350575:0.523881:0.134833:0.523880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.573714:0.163086:0.573714:0.163086:0.557090:0.096359:0.557090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.120102:0.613430:0.135501:0.613430:0.135501:0.595294:0.120102:0.595294:0.000000:0.000000
 :@0.135501:0.613430:0.139903:0.613430:0.139903:0.595551:0.135501:0.595551:0.000000
10 × 4 × 2 = 80  :@0.160641:0.614403:0.303050:0.613437:0.303050:0.595558:0.160641:0.596524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2 × 4 × 10 = 80:@0.352714:0.614403:0.473935:0.614403:0.473935:0.596524:0.352714:0.596524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.120104:0.645710:0.137191:0.645710:0.137191:0.627574:0.120104:0.627574:0.000000:0.000000
  (8 × 9) × 3 = 216  :@0.137191:0.645710:0.314458:0.645711:0.314458:0.627832:0.137191:0.627831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 × (9 × 3) = 216:@0.353084:0.646676:0.484959:0.646676:0.484959:0.628798:0.353084:0.628798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.120112:0.677983:0.134827:0.677983:0.134827:0.659848:0.120112:0.659848:0.000000:0.000000
 :@0.134827:0.677983:0.139230:0.677983:0.139230:0.660104:0.134827:0.660104:0.000000
7 × (2 + 5) = 49  :@0.159966:0.678951:0.303058:0.677986:0.303058:0.660107:0.159966:0.661073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(7 × 2) + (7 × 5) = 49:@0.349710:0.678951:0.513026:0.678951:0.513026:0.661073:0.349710:0.661073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicación por 10, 100 y 1 000:@0.096354:0.728439:0.387102:0.728439:0.387102:0.710002:0.096354:0.710002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.831917:0.172815:0.831917:0.172815:0.815293:0.096359:0.815293:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolver las multiplicaciones.:@0.096359:0.857465:0.327759:0.857465:0.327759:0.839587:0.096359:0.839587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.120101:0.885000:0.135499:0.885000:0.135499:0.866865:0.120101:0.866865:0.000000:0.000000
 :@0.135499:0.885000:0.139902:0.885000:0.139902:0.867122:0.135499:0.867122:0.000000
23 × 10 =:@0.179246:0.885082:0.255657:0.885082:0.255657:0.867203:0.179246:0.867203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.291059:0.885007:0.295461:0.885007:0.295461:0.867128:0.291059:0.867128:0.000000
b):@0.367048:0.885007:0.384135:0.885007:0.384135:0.866871:0.367048:0.866871:0.000000:0.000000
  :@0.384135:0.885007:0.392940:0.885007:0.392940:0.867128:0.384135:0.867128:0.000000:0.000000
135 × 100 =:@0.418518:0.885082:0.514549:0.885082:0.514549:0.867203:0.418518:0.867203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  :@0.540140:0.885007:0.548945:0.885007:0.548945:0.867128:0.540140:0.867128:0.000000:0.000000
c) :@0.647208:0.885007:0.666185:0.885007:0.666185:0.866871:0.647208:0.866871:0.000000:0.000000:0.000000
  8 246 × 1 000 =:@0.666185:0.885007:0.806424:0.885082:0.806424:0.867203:0.666185:0.867128:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.908410:0.163086:0.908410:0.163086:0.891786:0.096359:0.891786:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.120102:0.943387:0.135501:0.943387:0.135501:0.925251:0.120102:0.925251:0.000000:0.000000
  23 × 10 = 230   :@0.135501:0.943387:0.286572:0.943393:0.286572:0.925514:0.135501:0.925508:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.367044:0.943393:0.388393:0.943393:0.388393:0.925258:0.367044:0.925258:0.000000:0.000000:0.000000
  135 × 100 = 13 500   :@0.388393:0.943393:0.581572:0.943393:0.581572:0.925514:0.388393:0.925514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.647208:0.943393:0.661923:0.943393:0.661923:0.925258:0.647208:0.925258:0.000000:0.000000
   8 246 × 1 000 = 8 246 000:@0.661923:0.943393:0.889531:0.943468:0.889531:0.925590:0.661923:0.925514:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ingresa:@0.732687:0.182761:0.787841:0.182761:0.787841:0.166137:0.732687:0.166137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 al siguiente :@0.787657:0.182761:0.877545:0.182761:0.877545:0.166372:0.787657:0.166372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enlace:  :@0.732687:0.199109:0.790734:0.199109:0.790734:0.182720:0.732687:0.182720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
lynk.ec/6m02:@0.732687:0.215456:0.829559:0.215456:0.829559:0.198818:0.732687:0.198818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, para que :@0.829375:0.215456:0.904081:0.215456:0.904081:0.199067:0.829375:0.199067:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conozcas más sobre :@0.732687:0.231804:0.881343:0.231804:0.881343:0.215415:0.732687:0.215415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicaciones  :@0.732687:0.248151:0.858032:0.248151:0.858032:0.231762:0.732687:0.231762:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por 10, 100 y 1 000.:@0.732687:0.264498:0.870231:0.264498:0.870231:0.248109:0.732687:0.248109:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.780291:0.144360:0.881403:0.144360:0.881403:0.127583:0.780291:0.127583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
digital:@0.780291:0.158190:0.828037:0.158190:0.828037:0.141414:0.780291:0.141414:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aprender la :@0.732687:0.468136:0.820587:0.468136:0.820587:0.451747:0.732687:0.451747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación es :@0.732687:0.484483:0.858216:0.484483:0.858216:0.468094:0.732687:0.468094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
básico para avanzar en :@0.732687:0.500831:0.899457:0.500831:0.899457:0.484442:0.732687:0.484442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el resto de operaciones :@0.732687:0.517178:0.903290:0.517178:0.903290:0.500789:0.732687:0.500789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que vas a estudiar: :@0.732687:0.533526:0.868663:0.533526:0.868663:0.517137:0.732687:0.517137:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
división, raíz cuadrada, :@0.732687:0.549873:0.897098:0.549873:0.897098:0.533484:0.732687:0.533484:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fracciones, ecuaciones, :@0.732687:0.566220:0.899992:0.566220:0.899992:0.549832:0.732687:0.549832:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
álgebra. Cada uno de :@0.732687:0.582568:0.889357:0.582568:0.889357:0.566179:0.732687:0.566179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
estos temas requiere :@0.732687:0.598915:0.885117:0.598915:0.885117:0.582526:0.732687:0.582526:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el total dominio de la :@0.732687:0.615263:0.888730:0.615263:0.888730:0.598874:0.732687:0.598874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicación.:@0.732687:0.631610:0.837909:0.631610:0.837909:0.615221:0.732687:0.615221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782664:0.429735:0.883775:0.429735:0.883775:0.412959:0.782664:0.412959:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782664:0.443566:0.870693:0.443566:0.870693:0.426790:0.782664:0.426790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.926765:0.783236:0.926765:0.745894:0.914854:0.745894:0.914854:0.783236:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@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