114:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000 Números enteros:@0.073089:0.043661:0.226242:0.043661:0.226242:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.2.2 Adición con números enteros de diferente signo:@0.293660:0.136836:0.697300:0.136836:0.697300:0.120167:0.293660:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para sumar dos números enteros de diferente signo, se restan sus respectivos valores :@0.305431:0.165770:0.919589:0.165770:0.919589:0.149337:0.305431:0.149337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 absolutos y, al resultado, se le deja el signo del número entero que tenga mayor :@0.305431:0.182412:0.919165:0.182412:0.919165:0.165978:0.305431:0.165978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 valor absoluto.:@0.305431:0.199054:0.411315:0.199054:0.411315:0.182620:0.305431:0.182620:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo 2.:@0.293668:0.231408:0.373188:0.231408:0.373188:0.214739:0.293668:0.214739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Suma 20 y 8:@0.373077:0.231408:0.480392:0.231408:0.480392:0.214975:0.373077:0.214975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.422409:0.230854:0.437742:0.230854:0.437742:0.217138:0.422409:0.217138:0.000000 Primero, calculamos el valor absoluto de 20 y 8: | 20| 20, |8| 8:@0.293687:0.255192:0.782612:0.255199:0.782612:0.238765:0.293687:0.238759:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.588958:0.254638:0.604291:0.254638:0.604291:0.240922:0.588958:0.240922:0.000000 2:@0.657727:0.254638:0.673060:0.254638:0.673060:0.240922:0.657727:0.240922:0.000000 5:@0.696787:0.254644:0.712121:0.254644:0.712121:0.240928:0.696787:0.240928:0.000000 5:@0.756162:0.254644:0.771496:0.254644:0.771496:0.240928:0.756162:0.240928:0.000000 Luego, restamos los valores absolutos: | 20| |8| 12:@0.293660:0.278988:0.687527:0.278988:0.687527:0.262554:0.293660:0.262554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.576856:0.278433:0.592189:0.278433:0.592189:0.264717:0.576856:0.264717:0.000000 2:@0.615939:0.278433:0.631273:0.278433:0.631273:0.264717:0.615939:0.264717:0.000000 5:@0.652166:0.278433:0.667500:0.278433:0.667500:0.264717:0.652166:0.264717:0.000000 Para terminar, le dejamos a este resultado el signo , porque 20 tiene mayor valor :@0.293660:0.302777:0.930956:0.302777:0.930956:0.286343:0.293660:0.286343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.674396:0.302222:0.689729:0.302222:0.689729:0.288506:0.674396:0.288506:0.000000 2:@0.757523:0.302222:0.772856:0.302222:0.772856:0.288506:0.757523:0.288506:0.000000 absoluto que 8.:@0.293660:0.319419:0.405771:0.319419:0.405771:0.302985:0.293660:0.302985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( 20) (8) 12:@0.540004:0.343203:0.680562:0.343203:0.680562:0.326769:0.540004:0.326769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.544809:0.342648:0.560142:0.342648:0.560142:0.328932:0.544809:0.328932:0.000000 1:@0.586593:0.342648:0.601926:0.342648:0.601926:0.328932:0.586593:0.328932:0.000000 5 2:@0.628230:0.342648:0.662762:0.342648:0.662762:0.328932:0.628230:0.328932:0.000000:0.000000:0.000000 2.2 Propiedades de la adición:@0.293660:0.366986:0.523563:0.366986:0.523563:0.350040:0.293660:0.350040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La operación de adición de números enteros cumple las propiedades que se muestran :@0.293660:0.390770:0.930501:0.390770:0.930501:0.374337:0.293660:0.374337:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la siguiente tabla::@0.293660:0.407412:0.442567:0.407412:0.442567:0.390978:0.293660:0.390978:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Propiedad:@0.091003:0.434344:0.158063:0.434344:0.158063:0.420479:0.091003:0.420479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Descripción:@0.244515:0.434344:0.320766:0.434344:0.320766:0.420479:0.244515:0.420479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Enunciado:@0.478645:0.434344:0.547230:0.434344:0.547230:0.420479:0.478645:0.420479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Ejemplo:@0.754764:0.434344:0.807896:0.434344:0.807896:0.420479:0.754764:0.420479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Clausurativa :@0.088428:0.460079:0.164016:0.460079:0.164016:0.446633:0.088428:0.446633:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La adición de dos números enteros :@0.180292:0.453273:0.387111:0.453273:0.387111:0.439827:0.180292:0.439827:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 es otro número entero. :@0.180292:0.466889:0.316787:0.466889:0.316787:0.453443:0.180292:0.453443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si , :@0.455577:0.460081:0.492927:0.460081:0.492927:0.446635:0.455577:0.446635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.468815:0.460081:0.489689:0.460081:0.489689:0.446658:0.468815:0.446658:0.000000:0.000000:0.000000 [:@0.492867:0.459968:0.505412:0.459968:0.505412:0.448473:0.492867:0.448473:0.000000 Z a:@0.505337:0.460081:0.524827:0.460081:0.524827:0.446658:0.505337:0.446658:0.000000:0.000000:0.000000 , :@0.512880:0.460081:0.551696:0.460081:0.551696:0.446635:0.512880:0.446635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1:@0.526591:0.459627:0.539136:0.459627:0.539136:0.448405:0.526591:0.448405:0.000000 b Z:@0.540876:0.460081:0.570274:0.460081:0.570274:0.446658:0.540876:0.446658:0.000000:0.000000:0.000000 [:@0.550214:0.459968:0.562759:0.459968:0.562759:0.448473:0.550214:0.448473:0.000000 ( 10) ( 33) 43:@0.716768:0.460081:0.845863:0.460081:0.845863:0.446635:0.716768:0.446635:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.720698:0.459627:0.733244:0.459627:0.733244:0.448405:0.720698:0.448405:0.000000 1 2:@0.753477:0.459627:0.784234:0.459627:0.784234:0.448405:0.753477:0.448405:0.000000:0.000000:0.000000 52:@0.804466:0.459627:0.831299:0.459627:0.831299:0.448405:0.804466:0.448405:0.000000:0.000000 Conmutativa:@0.085926:0.496164:0.163165:0.496164:0.163165:0.482718:0.085926:0.482718:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En la adición de números enteros, :@0.180290:0.482546:0.379275:0.482546:0.379275:0.469101:0.180290:0.469101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el orden de los sumandos no altera :@0.180290:0.496162:0.387028:0.496162:0.387028:0.482717:0.180290:0.482717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el resultado. :@0.180290:0.509778:0.253276:0.509778:0.253276:0.496333:0.180290:0.496333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si , :@0.442869:0.496162:0.480219:0.496162:0.480219:0.482717:0.442869:0.482717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b:@0.456107:0.496162:0.476981:0.496162:0.476981:0.482739:0.456107:0.482739:0.000000:0.000000:0.000000 [:@0.480159:0.496049:0.492704:0.496049:0.492704:0.484555:0.480159:0.484555:0.000000 Z a:@0.492629:0.496162:0.512114:0.496162:0.512114:0.482739:0.492629:0.482739:0.000000:0.000000:0.000000 , :@0.500168:0.496162:0.576894:0.496162:0.576894:0.482717:0.500168:0.482717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 1:@0.513876:0.495709:0.573671:0.495709:0.573671:0.484487:0.513876:0.484487:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.528164:0.496162:0.535739:0.496162:0.535739:0.482739:0.528164:0.482739:0.000000 b:@0.551788:0.496162:0.559364:0.496162:0.559364:0.482739:0.551788:0.482739:0.000000 a:@0.575412:0.496162:0.582987:0.496162:0.582987:0.482739:0.575412:0.482739:0.000000 ( 25) 20 20 ( 25):@0.708576:0.483999:0.854061:0.483995:0.854061:0.470549:0.708576:0.470553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.712507:0.483545:0.725053:0.483545:0.725053:0.472323:0.712507:0.472323:0.000000 1:@0.745284:0.483541:0.757829:0.483541:0.757829:0.472319:0.745284:0.472319:0.000000 5:@0.774138:0.483541:0.786683:0.483541:0.786683:0.472319:0.774138:0.472319:0.000000 1 2:@0.804809:0.483541:0.835566:0.483541:0.835566:0.472319:0.804809:0.472319:0.000000:0.000000:0.000000 2 52:@0.753472:0.507880:0.801879:0.507877:0.801879:0.496655:0.753472:0.496658:0.000000:0.000000:0.000000:0.000000 5 5:@0.765947:0.508331:0.809154:0.508331:0.809154:0.494885:0.765947:0.494885:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Asociativa :@0.094594:0.539047:0.157812:0.539047:0.157812:0.525601:0.094594:0.525601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los sumandos se pueden agrupar :@0.180288:0.525431:0.380505:0.525431:0.380505:0.511985:0.180288:0.511985:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de distintas formas y el resultado es :@0.180288:0.539047:0.388406:0.539047:0.388406:0.525601:0.180288:0.525601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el mismo. :@0.180288:0.552663:0.239485:0.552663:0.239485:0.539217:0.180288:0.539217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si , , :@0.406692:0.539047:0.456031:0.539047:0.456031:0.525601:0.406692:0.525601:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b c:@0.419931:0.539047:0.452793:0.539047:0.452793:0.525624:0.419931:0.525624:0.000000:0.000000:0.000000:0.000000:0.000000 [:@0.455970:0.538933:0.468516:0.538933:0.468516:0.527439:0.455970:0.527439:0.000000 Z a:@0.468440:0.539047:0.487949:0.539053:0.487949:0.525630:0.468440:0.525624:0.000000:0.000000:0.000000 , ( ) ( ) :@0.476002:0.539053:0.614368:0.539053:0.614368:0.525607:0.476002:0.525607:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 1 5 1 1:@0.489711:0.538599:0.611145:0.538599:0.611145:0.527377:0.489711:0.527377:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.507922:0.539053:0.515498:0.539053:0.515498:0.525630:0.507922:0.525630:0.000000 c:@0.531547:0.539053:0.537812:0.539053:0.537812:0.525630:0.531547:0.525630:0.000000 a:@0.561712:0.539053:0.569287:0.539053:0.569287:0.525630:0.561712:0.525630:0.000000 b:@0.585336:0.539053:0.592912:0.539053:0.592912:0.525630:0.585336:0.525630:0.000000 c:@0.612885:0.539053:0.619151:0.539053:0.619151:0.525630:0.612885:0.525630:0.000000 ( 20 15) ( 4) ( 5) ( 4) 9 :@0.665040:0.526889:0.900887:0.526884:0.900887:0.513438:0.665040:0.513443:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.668971:0.526435:0.681516:0.526435:0.681516:0.515214:0.668971:0.515214:0.000000 1:@0.697827:0.526430:0.710372:0.526430:0.710372:0.515208:0.697827:0.515208:0.000000 1 2 5 2 1 2 52:@0.732422:0.526430:0.890375:0.526430:0.890375:0.515208:0.732422:0.515208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ( 20) (15 ( 4)) ( 20) 11 9 :@0.663999:0.551222:0.901935:0.551222:0.901935:0.537776:0.663999:0.537776:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.667930:0.550768:0.680475:0.550768:0.680475:0.539546:0.667930:0.539546:0.000000 1:@0.700703:0.550768:0.713248:0.550768:0.713248:0.539546:0.700703:0.539546:0.000000 1 2:@0.735299:0.550768:0.766056:0.550768:0.766056:0.539546:0.735299:0.539546:0.000000:0.000000:0.000000 5 2:@0.782930:0.550768:0.813687:0.550768:0.813687:0.539546:0.782930:0.539546:0.000000:0.000000:0.000000 1:@0.833920:0.550768:0.846465:0.550768:0.846465:0.539546:0.833920:0.539546:0.000000 52:@0.864591:0.550768:0.891422:0.550768:0.891422:0.539546:0.864591:0.539546:0.000000:0.000000 Elemento :@0.095880:0.575134:0.156501:0.575134:0.156501:0.561688:0.095880:0.561688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 neutro:@0.104539:0.588750:0.144549:0.588750:0.144549:0.575304:0.104539:0.575304:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número entero sumado con :@0.180292:0.568326:0.380407:0.568326:0.380407:0.554880:0.180292:0.554880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el 0, da como resultado el mismo :@0.180292:0.581942:0.375439:0.581942:0.375439:0.568496:0.180292:0.568496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 número entero. :@0.180292:0.595558:0.274005:0.595558:0.274005:0.582112:0.180292:0.582112:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.437235:0.581942:0.461287:0.581942:0.461287:0.568496:0.437235:0.568496:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.450473:0.581942:0.458049:0.581942:0.458049:0.568519:0.450473:0.568519:0.000000 [:@0.461226:0.581829:0.473772:0.581829:0.473772:0.570335:0.461226:0.570335:0.000000 Z a:@0.473696:0.581942:0.494585:0.581942:0.494585:0.568519:0.473696:0.568519:0.000000:0.000000:0.000000 , 0 0 :@0.481227:0.581942:0.582522:0.581942:0.582522:0.568496:0.481227:0.568496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 5 1 5:@0.496356:0.581488:0.579299:0.581488:0.579299:0.570266:0.496356:0.570266:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.557416:0.581942:0.564991:0.581942:0.564991:0.568519:0.557416:0.568519:0.000000 a:@0.581041:0.581942:0.588616:0.581942:0.588616:0.568519:0.581041:0.568519:0.000000 0 ( 25) ( 25) 0 :@0.714989:0.569774:0.850950:0.569774:0.850950:0.556328:0.714989:0.556328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 2:@0.724089:0.569320:0.754847:0.569320:0.754847:0.558098:0.724089:0.558098:0.000000:0.000000:0.000000 5 2:@0.775080:0.569320:0.805837:0.569320:0.805837:0.558098:0.775080:0.558098:0.000000:0.000000:0.000000 1:@0.826070:0.569320:0.838615:0.569320:0.838615:0.558098:0.826070:0.558098:0.000000 2:@0.746226:0.593657:0.758771:0.593657:0.758771:0.582435:0.746226:0.582435:0.000000 25 25 :@0.758696:0.594111:0.819713:0.594111:0.819713:0.580665:0.758696:0.580665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 52:@0.775080:0.593657:0.801911:0.593657:0.801911:0.582435:0.775080:0.582435:0.000000:0.000000 Inverso aditivo su inverso aditivo, da como :@0.081291:0.624832:0.341192:0.624832:0.341192:0.611386:0.081291:0.611386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número entero sumado con :@0.180292:0.611215:0.380407:0.611215:0.380407:0.597770:0.180292:0.597770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 resultado el 0. :@0.180292:0.638448:0.263781:0.638448:0.263781:0.625002:0.180292:0.625002:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si :@0.416816:0.624832:0.430130:0.624832:0.430130:0.611386:0.416816:0.611386:0.000000:0.000000:0.000000 a :@0.430055:0.624832:0.440281:0.624832:0.440281:0.611408:0.430055:0.611408:0.000000:0.000000 [:@0.440235:0.624718:0.452781:0.624718:0.452781:0.613224:0.440235:0.613224:0.000000 Z, (:@0.452705:0.624832:0.494157:0.624832:0.494157:0.611386:0.452705:0.611386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.466546:0.624832:0.474121:0.624832:0.474121:0.611408:0.466546:0.611408:0.000000 1 2 5 2 1 5:@0.475874:0.624378:0.599935:0.624378:0.599935:0.613156:0.475874:0.613156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.506555:0.624832:0.514130:0.624832:0.514130:0.611408:0.506555:0.611408:0.000000 ) (:@0.514077:0.624832:0.538102:0.624832:0.538102:0.611386:0.514077:0.611386:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.550500:0.624832:0.558075:0.624832:0.558075:0.611408:0.550500:0.611408:0.000000 ) :@0.558022:0.624832:0.565251:0.624832:0.565251:0.611386:0.558022:0.611386:0.000000:0.000000 a :@0.578040:0.624832:0.602571:0.624832:0.602571:0.611408:0.578040:0.611408:0.000000:0.000000:0.000000:0.000000 0:@0.601689:0.624832:0.609038:0.624832:0.609038:0.611386:0.601689:0.611386:0.000000 ( 6) 6 6 ( 6):@0.722233:0.612668:0.840396:0.612663:0.840396:0.599217:0.722233:0.599222:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2 1 5 1 2:@0.726164:0.612214:0.829191:0.612209:0.829191:0.600987:0.726164:0.600992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0 0:@0.765947:0.637000:0.796689:0.637000:0.796689:0.623554:0.765947:0.623554:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.775047:0.636546:0.787592:0.636546:0.787592:0.625324:0.775047:0.625324:0.000000 2.3 Sustracción de números enteros:@0.293660:0.661713:0.573397:0.661713:0.573397:0.644766:0.293660:0.644766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La sustracción de dos números enteros se define como la adición del minuendo más el :@0.293660:0.685497:0.931387:0.685497:0.931387:0.669064:0.293660:0.669064:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 opuesto del sustraendo.:@0.293660:0.702139:0.468275:0.702139:0.468275:0.685705:0.293660:0.685705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Si , son números enteros, entonces ( b). :@0.409515:0.725923:0.815099:0.725934:0.815099:0.709501:0.409515:0.709489:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a b :@0.425695:0.725923:0.454447:0.725923:0.454447:0.709517:0.425695:0.709517:0.000000:0.000000:0.000000:0.000000 a:@0.686379:0.725923:0.695638:0.725923:0.695638:0.709517:0.686379:0.709517:0.000000 2 5 1 2:@0.697798:0.725380:0.793139:0.725380:0.793139:0.711664:0.697798:0.711664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 b:@0.715260:0.725934:0.724519:0.725934:0.724519:0.709528:0.715260:0.709528:0.000000 a:@0.744134:0.725934:0.753393:0.725934:0.753393:0.709528:0.744134:0.709528:0.000000 Ejemplo 3:@0.293660:0.749723:0.369443:0.749723:0.369443:0.733054:0.293660:0.733054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Calcula la diferencia 8 12.:@0.369332:0.749723:0.572788:0.749723:0.572788:0.733290:0.369332:0.733290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.536525:0.749169:0.551859:0.749169:0.551859:0.735453:0.536525:0.735453:0.000000 Expresamos la diferencia entre 8 y 12 como la suma de 8 más el opuesto de 12, que es 12.:@0.293660:0.769943:0.916359:0.769943:0.916359:0.753509:0.293660:0.753509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.881477:0.769389:0.896811:0.769389:0.896811:0.755673:0.881477:0.755673:0.000000 8 12 8 ( 12):@0.541597:0.790154:0.678986:0.790154:0.678986:0.773720:0.541597:0.773720:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.552720:0.789600:0.568054:0.789600:0.568054:0.775884:0.552720:0.775884:0.000000 5 1 2:@0.590206:0.789600:0.656382:0.789600:0.656382:0.775884:0.590206:0.775884:0.000000:0.000000:0.000000:0.000000:0.000000 52:@0.589435:0.806241:0.622238:0.806241:0.622238:0.792526:0.589435:0.792526:0.000000:0.000000 4:@0.604684:0.806796:0.631129:0.806796:0.631129:0.790362:0.604684:0.790362:0.000000:0.000000:0.000000 Verifiquemos este resultado, haciendo la representación geométrica.:@0.293668:0.823438:0.789597:0.823438:0.789597:0.807004:0.293668:0.807004:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2:@0.325844:0.903173:0.338497:0.903173:0.338497:0.891821:0.325844:0.891821:0.000000 4:@0.338497:0.903619:0.345909:0.903619:0.345909:0.890059:0.338497:0.890059:0.000000 2:@0.368054:0.903173:0.380706:0.903173:0.380706:0.891821:0.368054:0.891821:0.000000 3:@0.380706:0.903619:0.388118:0.903619:0.388118:0.890059:0.380706:0.890059:0.000000 2:@0.410263:0.903173:0.422915:0.903173:0.422915:0.891821:0.410263:0.891821:0.000000 2:@0.422915:0.903619:0.430327:0.903619:0.430327:0.890059:0.422915:0.890059:0.000000 2:@0.452472:0.903173:0.465124:0.903173:0.465124:0.891821:0.452472:0.891821:0.000000 1:@0.465124:0.903619:0.472536:0.903619:0.472536:0.890059:0.465124:0.890059:0.000000 2:@0.576959:0.838529:0.589612:0.838529:0.589612:0.827178:0.576959:0.827178:0.000000 12:@0.589632:0.838976:0.604456:0.838976:0.604456:0.825415:0.589632:0.825415:0.000000:0.000000 8:@0.671447:0.861736:0.678859:0.861736:0.678859:0.848176:0.671447:0.848176:0.000000 0:@0.501046:0.903618:0.508458:0.903618:0.508458:0.890058:0.501046:0.890058:0.000000 1:@0.543255:0.903618:0.550667:0.903618:0.550667:0.890058:0.543255:0.890058:0.000000 2:@0.585464:0.903618:0.592876:0.903618:0.592876:0.890058:0.585464:0.890058:0.000000 3:@0.627673:0.903618:0.635086:0.903618:0.635086:0.890058:0.627673:0.890058:0.000000 4:@0.669883:0.903618:0.677295:0.903618:0.677295:0.890058:0.669883:0.890058:0.000000 5:@0.712092:0.903618:0.719504:0.903618:0.719504:0.890058:0.712092:0.890058:0.000000 6:@0.754301:0.903618:0.761713:0.903618:0.761713:0.890058:0.754301:0.890058:0.000000 7:@0.796511:0.903618:0.803923:0.903618:0.803923:0.890058:0.796511:0.890058:0.000000 8:@0.838720:0.903618:0.846132:0.903618:0.846132:0.890058:0.838720:0.890058:0.000000 9:@0.880929:0.903618:0.888341:0.903618:0.888341:0.890058:0.880929:0.890058:0.000000 8 ( 12) 4 El resultado de esta suma es el resultado de la sustracción.:@0.293660:0.937117:0.834400:0.937117:0.834400:0.920683:0.293660:0.920683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 1 2:@0.304781:0.936562:0.342374:0.936562:0.342374:0.922846:0.304781:0.922846:0.000000:0.000000:0.000000 52:@0.367103:0.936562:0.399898:0.936562:0.399898:0.922846:0.367103:0.922846:0.000000:0.000000 DBA9 (EV. 3) Realiza combinaciones de operaciones, encuentra propiedades y resuelve ecuaciones en donde están involucradas.:@0.244983:0.970286:0.919971:0.970286:0.919971:0.958334:0.244983:0.958334:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Para realizar adiciones y :@0.078581:0.180933:0.237188:0.180933:0.237188:0.165993:0.078581:0.165993:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 sustracciones con enteros :@0.078581:0.196062:0.253187:0.196062:0.253187:0.181122:0.078581:0.181122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 en la recta numérica, :@0.078581:0.211191:0.219594:0.211191:0.219594:0.196251:0.078581:0.196251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 comenzamos trazando :@0.078581:0.226320:0.234072:0.226320:0.234072:0.211380:0.078581:0.211380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la primera flecha desde :@0.078581:0.241449:0.235806:0.241449:0.235806:0.226509:0.078581:0.226509:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el origen con el sentido :@0.078581:0.256578:0.237663:0.256578:0.237663:0.241638:0.078581:0.241638:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 indicado. Luego, trazamos :@0.078581:0.271707:0.254419:0.271707:0.254419:0.256767:0.078581:0.256767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 la segunda flecha desde :@0.078581:0.286836:0.241686:0.286836:0.241686:0.271896:0.078581:0.271896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 el punto donde terminó la :@0.078581:0.301965:0.256663:0.301965:0.256663:0.287025:0.078581:0.287025:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 primera flecha.:@0.078581:0.317094:0.176434:0.317094:0.176434:0.302154:0.078581:0.302154:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078581:0.141016:0.187141:0.141016:0.187141:0.124069:0.078581:0.124069:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.157657:0.176057:0.157657:0.176057:0.140710:0.078581:0.140710:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000