30:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
6.º EGB:@0.120102:0.967458:0.170641:0.967458:0.170641:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.070720:0.123711:0.114363:0.123711:0.114363:0.103460:0.070720:0.103460:0.000000:0.000000:0.000000
. Representación:@0.114363:0.123082:0.246653:0.123082:0.246653:0.106182:0.114363:0.106182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La multiplicación es una forma abreviada de expresar la suma de sumandos :@0.287495:0.147996:0.908007:0.147996:0.908007:0.130117:0.287495:0.130117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iguales. :@0.287495:0.166101:0.351622:0.166101:0.351622:0.148222:0.287495:0.148222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Piensa en un campesino que desea sembrar en sus tierras plantas de café. Ha :@0.287495:0.191327:0.908111:0.191327:0.908111:0.173448:0.287495:0.173448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
arado 50 surcos en su campo y necesita saber cuántas plantas comprar. Para :@0.287495:0.209432:0.908043:0.209432:0.908043:0.191554:0.287495:0.191554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
hacerlo, emplea unidades de medición no convencionales: recorre un surco y :@0.287495:0.227538:0.907971:0.227538:0.907971:0.209659:0.287495:0.209659:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuenta las zancadas que da, porque plantará un arbusto a una zancada de :@0.287495:0.245643:0.908011:0.245643:0.908011:0.227764:0.287495:0.227764:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distancia de la anterior. Al realizar el ejercicio, en el primer surco determina :@0.287495:0.263748:0.907943:0.263748:0.907943:0.245869:0.287495:0.245869:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que necesitará 100 plantas de café. ¿Imaginas lo arduo que sería tener que ir :@0.287495:0.281853:0.908043:0.281853:0.908043:0.263974:0.287495:0.263974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumando uno por uno hasta haber  recorrido los 50 surcos?  También se :@0.287495:0.299958:0.908113:0.299958:0.908113:0.282079:0.287495:0.282079:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
pudiera dedicar a sumar 50 veces las 100 plantas del primer surco, y debería :@0.287495:0.318063:0.908089:0.318063:0.908089:0.300184:0.287495:0.300184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
efectuar 49 operaciones para hallar el resultado. Mucho más sencillo que :@0.287495:0.336168:0.908029:0.336168:0.908029:0.318290:0.287495:0.318290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contar; es multiplicar::@0.287495:0.354273:0.458366:0.354273:0.458366:0.336395:0.287495:0.336395:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
50 × 100 = 5 000:@0.375147:0.378332:0.509414:0.378332:0.509414:0.360453:0.375147:0.360453:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
   Debe comprar 5 000 plantas de café.:@0.523446:0.382119:0.829125:0.382119:0.829125:0.364240:0.523446:0.364240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.287479:0.407345:0.356733:0.407345:0.356733:0.389195:0.287479:0.389195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La producción mundial de papel en el año 2021 fue de 408 600 000 toneladas, :@0.287479:0.429011:0.908115:0.429011:0.908115:0.411132:0.287479:0.411132:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en respuesta a la demanda del mercado. Para producir una tonelada de papel :@0.287479:0.447116:0.908014:0.447116:0.908014:0.429238:0.287479:0.429238:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
se necesitan 17 árboles adultos. ¿A cuántos árboles equivalen esos millones :@0.287479:0.465221:0.908012:0.465221:0.908012:0.447343:0.287479:0.447343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de toneladas de papel? :@0.287479:0.483327:0.477712:0.483327:0.477712:0.465448:0.287479:0.465448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Para multiplicar, colocamos en forma vertical los factores y multiplicamos de :@0.287479:0.508553:0.907968:0.508553:0.907968:0.490674:0.287479:0.490674:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
derecha a izquierda, así: :@0.287479:0.526658:0.480484:0.526658:0.480484:0.508779:0.287479:0.508779:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
4:@0.405787:0.549612:0.415598:0.549612:0.415598:0.531733:0.405787:0.531733:0.000000
0:@0.439038:0.549612:0.448848:0.549612:0.448848:0.531733:0.439038:0.531733:0.000000
8:@0.472288:0.549612:0.482098:0.549612:0.482098:0.531733:0.472288:0.531733:0.000000
6:@0.505538:0.549612:0.515348:0.549612:0.515348:0.531733:0.505538:0.531733:0.000000
0:@0.538788:0.549612:0.548598:0.549612:0.548598:0.531733:0.538788:0.531733:0.000000
0:@0.572038:0.549612:0.581848:0.549612:0.581848:0.531733:0.572038:0.531733:0.000000
0:@0.605288:0.549612:0.615099:0.549612:0.615099:0.531733:0.605288:0.531733:0.000000
0:@0.638539:0.549612:0.648349:0.549612:0.648349:0.531733:0.638539:0.531733:0.000000
0:@0.671789:0.549612:0.681599:0.549612:0.681599:0.531733:0.671789:0.531733:0.000000
factores:@0.732719:0.559046:0.796043:0.559046:0.796043:0.541167:0.732719:0.541167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
×:@0.371470:0.570754:0.383451:0.570754:0.383451:0.552875:0.371470:0.552875:0.000000
1:@0.638477:0.570754:0.648287:0.570754:0.648287:0.552875:0.638477:0.552875:0.000000
7:@0.671727:0.570754:0.681537:0.570754:0.681537:0.552875:0.671727:0.552875:0.000000
2:@0.372556:0.592616:0.382366:0.592616:0.382366:0.574737:0.372556:0.574737:0.000000
8:@0.405806:0.592616:0.415616:0.592616:0.415616:0.574737:0.405806:0.574737:0.000000
6:@0.439056:0.592616:0.448866:0.592616:0.448866:0.574737:0.439056:0.574737:0.000000
0:@0.472306:0.592616:0.482116:0.592616:0.482116:0.574737:0.472306:0.574737:0.000000
2:@0.505556:0.592616:0.515367:0.592616:0.515367:0.574737:0.505556:0.574737:0.000000
0:@0.538807:0.592616:0.548617:0.592616:0.548617:0.574737:0.538807:0.574737:0.000000
0:@0.572057:0.592616:0.581867:0.592616:0.581867:0.574737:0.572057:0.574737:0.000000
0:@0.605307:0.592616:0.615117:0.592616:0.615117:0.574737:0.605307:0.574737:0.000000
0:@0.638557:0.592616:0.648367:0.592616:0.648367:0.574737:0.638557:0.574737:0.000000
0:@0.671807:0.592616:0.681617:0.592616:0.681617:0.574737:0.671807:0.574737:0.000000
suma pacial:@0.716908:0.601769:0.811854:0.601769:0.811854:0.583891:0.716908:0.583891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+:@0.338230:0.613764:0.350211:0.613764:0.350211:0.595885:0.338230:0.595885:0.000000
4:@0.372566:0.613523:0.382376:0.613523:0.382376:0.595644:0.372566:0.595644:0.000000
0:@0.405816:0.613523:0.415626:0.613523:0.415626:0.595644:0.405816:0.595644:0.000000
8:@0.439066:0.613523:0.448876:0.613523:0.448876:0.595644:0.439066:0.595644:0.000000
6:@0.472316:0.613523:0.482126:0.613523:0.482126:0.595644:0.472316:0.595644:0.000000
0:@0.505566:0.613523:0.515377:0.613523:0.515377:0.595644:0.505566:0.595644:0.000000
0:@0.538817:0.613523:0.548627:0.613523:0.548627:0.595644:0.538817:0.595644:0.000000
0:@0.572067:0.613523:0.581877:0.613523:0.581877:0.595644:0.572067:0.595644:0.000000
0:@0.605317:0.613523:0.615127:0.613523:0.615127:0.595644:0.605317:0.595644:0.000000
0:@0.638567:0.613523:0.648377:0.613523:0.648377:0.595644:0.638567:0.595644:0.000000
6:@0.372646:0.635385:0.382456:0.635385:0.382456:0.617506:0.372646:0.617506:0.000000
9:@0.405896:0.635385:0.415707:0.635385:0.415707:0.617506:0.405896:0.617506:0.000000
4:@0.439146:0.635385:0.448957:0.635385:0.448957:0.617506:0.439146:0.617506:0.000000
6:@0.472397:0.635385:0.482207:0.635385:0.482207:0.617506:0.472397:0.617506:0.000000
2:@0.505647:0.635385:0.515457:0.635385:0.515457:0.617506:0.505647:0.617506:0.000000
0:@0.538897:0.635385:0.548707:0.635385:0.548707:0.617506:0.538897:0.617506:0.000000
0:@0.572147:0.635385:0.581957:0.635385:0.581957:0.617506:0.572147:0.617506:0.000000
0:@0.605397:0.635385:0.615207:0.635385:0.615207:0.617506:0.605397:0.617506:0.000000
0:@0.638647:0.635385:0.648458:0.635385:0.648458:0.617506:0.638647:0.617506:0.000000
0:@0.671898:0.635385:0.681708:0.635385:0.681708:0.617506:0.671898:0.617506:0.000000
producto:@0.726601:0.633890:0.801685:0.633890:0.801685:0.616011:0.726601:0.616011:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ese volumen de papel equivale a 6 946 200 000 de árboles.:@0.287494:0.676407:0.757569:0.676407:0.757569:0.658528:0.287494:0.658528:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicación :@0.286308:0.063945:0.542137:0.063945:0.542137:0.027071:0.286308:0.027071:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números naturales:@0.286308:0.094120:0.664523:0.094120:0.664523:0.057246:0.286308:0.057246:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
:@0.094760:0.108604:0.159692:0.108604:0.159692:0.011516:0.094760:0.011516:0.000000
Conmutativa:@0.080676:0.753043:0.196486:0.753043:0.196486:0.734349:0.080676:0.734349:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los factores no altera el producto.     3 × 5 = 5 × 3:@0.245801:0.753043:0.730515:0.753043:0.730515:0.735164:0.245801:0.735164:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.080676:0.794941:0.173227:0.794941:0.173227:0.776248:0.080676:0.776248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Los factores de una multiplicación de números naturales se pueden agrupar de :@0.245801:0.776836:0.883353:0.776836:0.883353:0.758957:0.245801:0.758957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
distintas maneras y el producto no cambia.:@0.245801:0.794941:0.589435:0.794941:0.589435:0.777062:0.245801:0.777062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(7 × 3) × 2 = 42          7 × ( 3 × 2) = 42:@0.245801:0.813046:0.538358:0.813046:0.538358:0.795167:0.245801:0.795167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Distributiva:@0.080676:0.852319:0.187259:0.852319:0.187259:0.833626:0.080676:0.833626:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Se aplica la propiedad respecto de la suma y la resta.:@0.245801:0.832434:0.664355:0.832434:0.664355:0.814555:0.245801:0.814555:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × ( 3 + 2) = ( 3 × 3) + ( 3 × 2) = 9 + 6 = 15:@0.245801:0.850539:0.585961:0.850539:0.585961:0.832660:0.245801:0.832660:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
8 × ( 5 – 2) = ( 8 × 5) – ( 8 × 2) = 40 – 16 = 24:@0.245801:0.872205:0.599792:0.872205:0.599792:0.854326:0.245801:0.854326:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Del elemento :@0.080676:0.900645:0.204127:0.900645:0.204127:0.881951:0.080676:0.881951:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.080676:0.918750:0.141246:0.918750:0.141246:0.900057:0.080676:0.900057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El módulo de la multiplicación es 1.:@0.245801:0.891592:0.528246:0.891592:0.528246:0.873714:0.245801:0.873714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todo número natural multiplicado por 1 da como resultado el mismo número.:@0.245801:0.909697:0.871654:0.909697:0.871654:0.891819:0.245801:0.891819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3 × 5 = 15          3 × 5 × 1 = 15:@0.245801:0.927803:0.482050:0.927803:0.482050:0.909924:0.245801:0.909924:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.047103:0.189855:0.047103:0.184748:0.035021:0.184748:0.035021:0.189855:0.000000
Shutterstock:@0.047103:0.184748:0.047103:0.147030:0.035192:0.147030:0.035192:0.184748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las plantas de café :@0.131546:0.312393:0.260824:0.312393:0.260824:0.297494:0.131546:0.297494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son sembradas por :@0.129720:0.327480:0.260824:0.327480:0.260824:0.312581:0.129720:0.312581:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los campesinos en :@0.133941:0.342568:0.260824:0.342568:0.260824:0.327669:0.133941:0.327669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
clima cálido.:@0.174566:0.357656:0.257155:0.357656:0.257155:0.342757:0.174566:0.342757:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades de la multiplicación:@0.287495:0.711474:0.594088:0.711474:0.594088:0.691500:0.287495:0.691500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El ejemplo propuesto es :@0.075315:0.455831:0.248610:0.455831:0.248610:0.440187:0.075315:0.440187:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
útil para recordarnos :@0.100065:0.470920:0.248612:0.470920:0.248612:0.455276:0.100065:0.455276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cuánto nos ayudan las :@0.088350:0.486010:0.248612:0.486010:0.248612:0.470366:0.088350:0.470366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicaciones. El caso :@0.075632:0.501099:0.248612:0.501099:0.248612:0.485455:0.075632:0.485455:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del campesino y sus :@0.103671:0.516189:0.248612:0.516189:0.248612:0.500545:0.103671:0.500545:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tierras podía haberse :@0.098130:0.531278:0.248612:0.531278:0.248612:0.515634:0.098130:0.515634:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resuelto contando o :@0.102914:0.546368:0.248612:0.546368:0.248612:0.530724:0.102914:0.530724:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumando, aunque fuera :@0.077848:0.561457:0.248614:0.561457:0.248614:0.545813:0.077848:0.545813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fatigoso y demorado. :@0.096054:0.576547:0.248612:0.576547:0.248612:0.560903:0.096054:0.560903:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sin embargo, cuando :@0.094928:0.595201:0.248612:0.595201:0.248612:0.579557:0.094928:0.579557:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los números son muy :@0.094102:0.610290:0.248612:0.610290:0.248612:0.594646:0.094102:0.594646:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
grandes, hay cuentas :@0.097321:0.625380:0.248612:0.625380:0.248612:0.609736:0.097321:0.609736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que no se pueden :@0.116810:0.640469:0.248612:0.640469:0.248612:0.624825:0.116810:0.624825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver contando :@0.117778:0.655559:0.248612:0.655559:0.248612:0.639915:0.117778:0.639915:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uno por uno. Y hasta :@0.100733:0.670648:0.248614:0.670648:0.248614:0.655004:0.100733:0.655004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumar es ineficiente.:@0.102334:0.685738:0.244758:0.685738:0.244758:0.670094:0.102334:0.670094:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.115799:0.422761:0.223340:0.422761:0.223340:0.405861:0.115799:0.405861:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.3.1.9. Reconocer términos y realizar multiplicaciones entre números naturales, aplicando el algoritmo de la multiplicación y con :@0.262565:0.956927:0.906555:0.956927:0.906555:0.945008:0.262565:0.945008:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el uso de la tecnología. :@0.262565:0.965728:0.378518:0.965728:0.378518:0.953809:0.262565:0.953809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000