﻿9:@0.926628:0.510692:0.936081:0.510692:0.936081:0.494068:0.926628:0.494068:0.000000
10. :@0.120102:0.476745:0.149070:0.476745:0.149070:0.459609:0.120102:0.459609:0.000000:0.000000:0.000000:0.000000
Escribe:@0.153346:0.476745:0.208094:0.476745:0.208094:0.460121:0.153346:0.460121:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para los siguientes números, los enteros de donde pueden resultar al aplicarles el valor :@0.208094:0.476745:0.888791:0.476745:0.888791:0.460356:0.208094:0.460356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
absoluto, :@0.153346:0.493341:0.224550:0.493341:0.224550:0.476952:0.153346:0.476952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
observa :@0.224550:0.493341:0.289747:0.493341:0.289747:0.476717:0.224550:0.476717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el ejemplo.:@0.289747:0.493341:0.370292:0.493341:0.370292:0.476952:0.289747:0.476952:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.120102:0.517060:0.123825:0.517060:0.123825:0.499924:0.120102:0.499924:0.000000
Ejemplo::@0.153346:0.517060:0.223149:0.517060:0.223149:0.500159:0.153346:0.500159:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.223149:0.517060:0.226872:0.517060:0.226872:0.499924:0.223149:0.499924:0.000000
El número entero 8, puede resultar de |+8| o de |–8|.:@0.226872:0.517060:0.605798:0.517060:0.605798:0.500671:0.226872:0.500671:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.540779:0.172068:0.540779:0.172068:0.523878:0.153346:0.523878:0.000000:0.000000:0.000000
El número entero 51 puede resultar de :@0.186589:0.540779:0.473415:0.540779:0.473415:0.524390:0.186589:0.524390:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.498716:0.540779:0.502623:0.540779:0.502623:0.524390:0.498716:0.524390:0.000000
__________:@0.502613:0.540162:0.574606:0.540162:0.574606:0.526753:0.502613:0.526753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| o de |:@0.574229:0.540790:0.622915:0.540790:0.622915:0.524401:0.574229:0.524401:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.622914:0.540162:0.694907:0.540162:0.694907:0.526753:0.622914:0.526753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.694530:0.540790:0.698437:0.540790:0.698437:0.524401:0.694530:0.524401:0.000000
b) :@0.153347:0.560955:0.173378:0.560955:0.173378:0.544054:0.153347:0.544054:0.000000:0.000000:0.000000
El número entero 37 puede resultar de :@0.186591:0.560955:0.473417:0.560955:0.473417:0.544566:0.186591:0.544566:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.498718:0.560955:0.502625:0.560955:0.502625:0.544566:0.498718:0.544566:0.000000
__________:@0.502615:0.560321:0.574608:0.560321:0.574608:0.546912:0.502615:0.546912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| o de |:@0.574231:0.560950:0.622917:0.560950:0.622917:0.544561:0.574231:0.544561:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.622915:0.560321:0.694909:0.560321:0.694909:0.546912:0.622915:0.546912:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.694532:0.560950:0.698438:0.560950:0.698438:0.544561:0.694532:0.544561:0.000000
c) :@0.153349:0.581114:0.170984:0.581114:0.170984:0.564214:0.153349:0.564214:0.000000:0.000000:0.000000
El número entero 218 puede resultar de  |:@0.186592:0.581114:0.502626:0.581114:0.502626:0.564726:0.186592:0.564726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.502615:0.580482:0.574608:0.580482:0.574608:0.567073:0.502615:0.567073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| o de |:@0.574231:0.581111:0.622917:0.581111:0.622917:0.564722:0.574231:0.564722:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.622915:0.580482:0.694909:0.580482:0.694909:0.567073:0.622915:0.567073:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.694532:0.581111:0.698438:0.581111:0.698438:0.564722:0.694532:0.564722:0.000000
d) :@0.153349:0.601275:0.173417:0.601275:0.173417:0.584375:0.153349:0.584375:0.000000:0.000000:0.000000
El número entero 2 040 puede resultar de  |:@0.186592:0.601275:0.502626:0.601275:0.502626:0.584886:0.186592:0.584886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.502615:0.600642:0.574608:0.600642:0.574608:0.587232:0.502615:0.587232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
| o de |:@0.574231:0.601270:0.622917:0.601270:0.622917:0.584881:0.574231:0.584881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.622915:0.600642:0.694909:0.600642:0.694909:0.587232:0.622915:0.587232:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
|:@0.694532:0.601270:0.698438:0.601270:0.698438:0.584881:0.694532:0.584881:0.000000
11. :@0.120105:0.634117:0.149074:0.634117:0.149074:0.616981:0.120105:0.616981:0.000000:0.000000:0.000000:0.000000
Responde:@0.153349:0.634117:0.230321:0.634117:0.230321:0.617493:0.153349:0.617493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) en la columna derecha a las siguientes proposiciones.:@0.230321:0.634117:0.805354:0.634117:0.805354:0.617728:0.230321:0.617728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153349:0.657836:0.172071:0.657836:0.172071:0.640936:0.153349:0.640936:0.000000:0.000000:0.000000
Para obtener el valor absoluto de un número entero podemos ubicarlo :@0.186592:0.657836:0.709696:0.657836:0.709696:0.641447:0.186592:0.641447:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en la recta numérica y contar los lugares hasta 1. :@0.186592:0.674433:0.544973:0.674433:0.544973:0.658044:0.186592:0.658044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.673808:0.884263:0.673808:0.884263:0.660399:0.833754:0.660399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153344:0.694597:0.173375:0.694597:0.173375:0.677697:0.153344:0.677697:0.000000:0.000000:0.000000
El valor absoluto a veces es negativo. :@0.186587:0.694597:0.460385:0.694597:0.460385:0.678208:0.186587:0.678208:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.693969:0.884263:0.693969:0.884263:0.680559:0.833754:0.680559:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153344:0.714757:0.170979:0.714757:0.170979:0.697856:0.153344:0.697856:0.000000:0.000000:0.000000
El valor absoluto puede ser cero. :@0.186587:0.714757:0.427547:0.714757:0.427547:0.698368:0.186587:0.698368:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.714128:0.884263:0.714128:0.884263:0.700719:0.833754:0.700719:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.153344:0.734918:0.173412:0.734918:0.173412:0.718017:0.153344:0.718017:0.000000:0.000000:0.000000
Para obtener el valor absoluto se copia el número, omitiendo el signo. :@0.186587:0.734918:0.701216:0.734918:0.701216:0.718529:0.186587:0.718529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.734289:0.884263:0.734289:0.884263:0.720880:0.833754:0.720880:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.153344:0.755078:0.172214:0.755078:0.172214:0.738178:0.153344:0.738178:0.000000:0.000000:0.000000
Dos números enteros distintos pueden tener el mismo valor absoluto.:@0.186587:0.755078:0.697971:0.755078:0.697971:0.738689:0.186587:0.738689:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.697973:0.762894:0.702027:0.762894:0.702027:0.743895:0.697973:0.743895:0.000000
_______:@0.833754:0.754450:0.884263:0.754450:0.884263:0.741041:0.833754:0.741041:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.153344:0.775238:0.170168:0.775238:0.170168:0.758337:0.153344:0.758337:0.000000:0.000000:0.000000
Un número entero puede tener dos valores absolutos diferentes. :@0.186587:0.775238:0.663181:0.775238:0.663181:0.758849:0.186587:0.758849:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.774609:0.884263:0.774609:0.884263:0.761200:0.833754:0.761200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.153344:0.795399:0.173264:0.795399:0.173264:0.778498:0.153344:0.778498:0.000000:0.000000:0.000000
El valor absoluto de un número es la distancia entre el número y el cero :@0.186587:0.795399:0.713653:0.795399:0.713653:0.779010:0.186587:0.779010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en una recta numérica. :@0.186587:0.811995:0.359125:0.811995:0.359125:0.795606:0.186587:0.795606:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.811367:0.884263:0.811367:0.884263:0.797957:0.833754:0.797957:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.153344:0.832155:0.173246:0.832155:0.173246:0.815254:0.153344:0.815254:0.000000:0.000000:0.000000
Para dos números enteros diferentes, mayor valor absoluto tiene el que :@0.186587:0.832155:0.710760:0.832155:0.710760:0.815766:0.186587:0.815766:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
está más lejos de 0 en la recta numérica. :@0.186587:0.848751:0.485170:0.848751:0.485170:0.832362:0.186587:0.832362:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
_______:@0.833754:0.848122:0.884263:0.848122:0.884263:0.834713:0.833754:0.834713:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.153344:0.868912:0.167423:0.868912:0.167423:0.852011:0.153344:0.852011:0.000000:0.000000:0.000000
El valor absoluto de: – |–2| = 2 :@0.186587:0.868912:0.408604:0.868912:0.408604:0.852523:0.186587:0.852523:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.333437:0.868912:0.337252:0.868912:0.337252:0.852011:0.333437:0.852011:0.000000
_______:@0.833754:0.868283:0.884263:0.868283:0.884263:0.854874:0.833754:0.854874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j) :@0.153344:0.889073:0.167681:0.889073:0.167681:0.872172:0.153344:0.872172:0.000000:0.000000:0.000000
Para todo número positivo a, se tiene que: | | =  si   ≥ 0.:@0.186587:0.889073:0.602313:0.889073:0.602313:0.872684:0.186587:0.872684:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.494493:0.889073:0.498307:0.889073:0.498307:0.872172:0.494493:0.872172:0.000000
a:@0.502214:0.889073:0.511483:0.889073:0.511483:0.872711:0.502214:0.872711:0.000000
a  a:@0.534444:0.889073:0.571060:0.889073:0.571060:0.872711:0.534444:0.872711:0.000000:0.000000:0.000000:0.000000
 :@0.602315:0.896889:0.606369:0.896889:0.606369:0.877890:0.602315:0.877890:0.000000
_______:@0.833754:0.888444:0.884263:0.888444:0.884263:0.875035:0.833754:0.875035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k) :@0.153344:0.909232:0.172085:0.909232:0.172085:0.892332:0.153344:0.892332:0.000000:0.000000:0.000000
Para todo número negativo a, se tiene que: | | = –  si   < 0. :@0.186587:0.909232:0.623009:0.909232:0.623009:0.892843:0.186587:0.892843:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.508940:0.909232:0.518209:0.909232:0.518209:0.892871:0.508940:0.892871:0.000000
a:@0.550384:0.909232:0.559653:0.909232:0.559653:0.892871:0.550384:0.892871:0.000000
a:@0.578449:0.909232:0.587718:0.909232:0.587718:0.892871:0.578449:0.892871:0.000000
_______:@0.833754:0.908604:0.884263:0.908604:0.884263:0.895195:0.833754:0.895195:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9. :@0.120102:0.349207:0.138843:0.349207:0.138843:0.332071:0.120102:0.332071:0.000000:0.000000:0.000000
Encuentra:@0.153346:0.349207:0.231350:0.349207:0.231350:0.332583:0.153346:0.332583:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el valor absoluto de los siguientes números enteros.:@0.231350:0.349207:0.614606:0.349207:0.614606:0.332818:0.231350:0.332818:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.372303:0.172068:0.372303:0.172068:0.355403:0.153346:0.355403:0.000000:0.000000:0.000000
|–200| = :@0.186589:0.372303:0.249648:0.372303:0.249648:0.355914:0.186589:0.355914:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.272549:0.371681:0.344542:0.371681:0.344542:0.358272:0.272549:0.358272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b) :@0.153344:0.392470:0.173375:0.392470:0.173375:0.375570:0.153344:0.375570:0.000000:0.000000:0.000000
|144| = :@0.186587:0.392470:0.240433:0.392470:0.240433:0.376081:0.186587:0.376081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.272551:0.391842:0.344544:0.391842:0.344544:0.378433:0.272551:0.378433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c) :@0.153344:0.412631:0.170979:0.412631:0.170979:0.395730:0.153344:0.395730:0.000000:0.000000:0.000000
|0| = :@0.186587:0.412631:0.222448:0.412631:0.222448:0.396242:0.186587:0.396242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.272551:0.412002:0.344544:0.412002:0.344544:0.398593:0.272551:0.398593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d) :@0.153344:0.432791:0.173412:0.432791:0.173412:0.415890:0.153344:0.415890:0.000000:0.000000:0.000000
|–10 000| = :@0.186587:0.432791:0.271668:0.432791:0.271668:0.416402:0.186587:0.416402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.272551:0.432162:0.344544:0.432162:0.344544:0.418753:0.272551:0.418753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e) :@0.414892:0.372309:0.433762:0.372309:0.433762:0.355409:0.414892:0.355409:0.000000:0.000000:0.000000
|–70| = :@0.448136:0.372309:0.502203:0.372309:0.502203:0.355921:0.448136:0.355921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.534099:0.371681:0.606093:0.371681:0.606093:0.358272:0.534099:0.358272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f) :@0.414892:0.392470:0.431717:0.392470:0.431717:0.375570:0.414892:0.375570:0.000000:0.000000:0.000000
||–11|| = :@0.448136:0.392470:0.510016:0.392470:0.510016:0.376081:0.448136:0.376081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.534099:0.391842:0.606093:0.391842:0.606093:0.378433:0.534099:0.378433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
g) :@0.414892:0.412631:0.434813:0.412631:0.434813:0.395730:0.414892:0.395730:0.000000:0.000000:0.000000
|–121| = :@0.448136:0.412631:0.511195:0.412631:0.511195:0.396242:0.448136:0.396242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.534099:0.412002:0.606093:0.412002:0.606093:0.398593:0.534099:0.398593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
h) :@0.414892:0.432791:0.434794:0.432791:0.434794:0.415890:0.414892:0.415890:0.000000:0.000000:0.000000
|99| = :@0.448136:0.432791:0.492989:0.432791:0.492989:0.416402:0.448136:0.416402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.534099:0.432162:0.606093:0.432162:0.606093:0.418753:0.534099:0.418753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i) :@0.676441:0.372309:0.690520:0.372309:0.690520:0.355409:0.676441:0.355409:0.000000:0.000000:0.000000
|–140| = :@0.709684:0.372309:0.772744:0.372309:0.772744:0.355921:0.709684:0.355921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.795648:0.371681:0.867641:0.371681:0.867641:0.358272:0.795648:0.358272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
j) :@0.676441:0.392470:0.690778:0.392470:0.690778:0.375570:0.676441:0.375570:0.000000:0.000000:0.000000
|54| = :@0.709684:0.392470:0.754537:0.392470:0.754537:0.376081:0.709684:0.376081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.795648:0.391842:0.867641:0.391842:0.867641:0.378433:0.795648:0.378433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
k) :@0.676441:0.412631:0.695182:0.412631:0.695182:0.395730:0.676441:0.395730:0.000000:0.000000:0.000000
|–729| = :@0.709684:0.412631:0.772744:0.412631:0.772744:0.396242:0.709684:0.396242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.795648:0.412002:0.867641:0.412002:0.867641:0.398593:0.795648:0.398593:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
l) :@0.676441:0.432791:0.690538:0.432791:0.690538:0.415890:0.676441:0.415890:0.000000:0.000000:0.000000
|–365| = :@0.709684:0.432791:0.772744:0.432791:0.772744:0.416402:0.709684:0.416402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
__________:@0.795648:0.432162:0.867641:0.432162:0.867641:0.418753:0.795648:0.418753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejercicios con valor absoluto  :@0.120102:0.104179:0.416618:0.104179:0.416618:0.082669:0.120102:0.082669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El :@0.120102:0.123395:0.136576:0.123395:0.136576:0.107006:0.120102:0.107006:0.000000:0.000000:0.000000
valor absoluto:@0.136153:0.123395:0.250063:0.123395:0.250063:0.106495:0.136153:0.106495:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 de un número entero  , que se simboliza | |, lo podemos representar a partir de la recta :@0.250063:0.123395:0.888046:0.123395:0.888046:0.107006:0.250063:0.107006:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.413848:0.123395:0.421311:0.123395:0.421311:0.107034:0.413848:0.107034:0.000000
x:@0.556736:0.123395:0.564199:0.123395:0.564199:0.107034:0.556736:0.107034:0.000000
numérica, contando los lugares desde el número hasta el origen (hasta 0).:@0.120102:0.139992:0.660358:0.139992:0.660358:0.123603:0.120102:0.123603:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.120102:0.160156:0.189906:0.160156:0.189906:0.143256:0.120102:0.143256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ¿Cuál es el valor absoluto de –5? ¿Y el valor absoluto de 5?:@0.189906:0.160156:0.619045:0.160156:0.619045:0.143767:0.189906:0.143767:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa:@0.120102:0.260191:0.183972:0.260191:0.183972:0.243567:0.120102:0.243567:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que desde –5 hasta 0 hay 5 lugares. Por tanto, |–5| = 5:@0.183972:0.260191:0.579886:0.260191:0.579886:0.243802:0.183972:0.243802:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Observa:@0.120102:0.280355:0.183972:0.280355:0.183972:0.263731:0.120102:0.263731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que desde 5 hasta 0 hay 5 lugares. Por tanto, |5| = 5:@0.183972:0.280355:0.561459:0.280355:0.561459:0.263967:0.183972:0.263967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Regla práctica::@0.120102:0.300520:0.236655:0.300520:0.236655:0.283619:0.120102:0.283619:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 para obtener el valor absoluto de un número se copia el número sin su signo. Siempre el :@0.236655:0.300520:0.888791:0.300520:0.888791:0.284131:0.236655:0.284131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
valor absoluto es un número positivo.:@0.120102:0.317116:0.395739:0.317116:0.395739:0.300728:0.120102:0.300728:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–7:@0.168332:0.237054:0.186539:0.237054:0.186539:0.220665:0.168332:0.220665:0.000000:0.000000
–6:@0.214862:0.237054:0.233069:0.237054:0.233069:0.220665:0.214862:0.220665:0.000000:0.000000
–5:@0.261392:0.237054:0.279598:0.237054:0.279598:0.220665:0.261392:0.220665:0.000000:0.000000
–4:@0.307922:0.237054:0.326128:0.237054:0.326128:0.220665:0.307922:0.220665:0.000000:0.000000
–3:@0.354451:0.237054:0.372658:0.237054:0.372658:0.220665:0.354451:0.220665:0.000000:0.000000
–2:@0.400981:0.237054:0.419188:0.237054:0.419188:0.220665:0.400981:0.220665:0.000000:0.000000
–1:@0.447511:0.237054:0.465717:0.237054:0.465717:0.220665:0.447511:0.220665:0.000000:0.000000
0:@0.498648:0.237054:0.507640:0.237054:0.507640:0.220665:0.498648:0.220665:0.000000
1:@0.545177:0.237054:0.554170:0.237054:0.554170:0.220665:0.545177:0.220665:0.000000
5:@0.731297:0.237054:0.740289:0.237054:0.740289:0.220665:0.731297:0.220665:0.000000
3:@0.638237:0.237054:0.647230:0.237054:0.647230:0.220665:0.638237:0.220665:0.000000
7:@0.824356:0.237054:0.833349:0.237054:0.833349:0.220665:0.824356:0.220665:0.000000
2:@0.591707:0.237054:0.600700:0.237054:0.600700:0.220665:0.591707:0.220665:0.000000
6:@0.777826:0.237054:0.786819:0.237054:0.786819:0.220665:0.777826:0.220665:0.000000
4:@0.684767:0.237054:0.693759:0.237054:0.693759:0.220665:0.684767:0.220665:0.000000
5 lugares:@0.352682:0.180137:0.418838:0.180137:0.418838:0.163748:0.352682:0.163748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5 lugares:@0.587119:0.180137:0.653274:0.180137:0.653274:0.163748:0.587119:0.163748:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
200:@0.306540:0.372309:0.333518:0.372309:0.333518:0.355921:0.306540:0.355921:0.000000:0.000000:0.000000
70:@0.565006:0.372309:0.582991:0.372309:0.582991:0.355921:0.565006:0.355921:0.000000:0.000000
140:@0.817390:0.372309:0.844369:0.372309:0.844369:0.355921:0.817390:0.355921:0.000000:0.000000:0.000000
144:@0.306540:0.392502:0.333518:0.392502:0.333518:0.376113:0.306540:0.376113:0.000000:0.000000:0.000000
11:@0.565006:0.392502:0.582991:0.392502:0.582991:0.376113:0.565006:0.376113:0.000000:0.000000
54:@0.826991:0.392502:0.844977:0.392502:0.844977:0.376113:0.826991:0.376113:0.000000:0.000000
10 000:@0.284519:0.432900:0.333518:0.432900:0.333518:0.416511:0.284519:0.416511:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
99:@0.565006:0.432900:0.582991:0.432900:0.582991:0.416511:0.565006:0.416511:0.000000:0.000000
365:@0.817390:0.432900:0.844369:0.432900:0.844369:0.416511:0.817390:0.416511:0.000000:0.000000:0.000000
0:@0.323917:0.412597:0.332909:0.412597:0.332909:0.396208:0.323917:0.396208:0.000000
121:@0.556013:0.412597:0.582991:0.412597:0.582991:0.396208:0.556013:0.396208:0.000000:0.000000:0.000000
+51:@0.537125:0.540348:0.566093:0.540348:0.566093:0.523959:0.537125:0.523959:0.000000:0.000000:0.000000
–51:@0.656241:0.540348:0.683440:0.540348:0.683440:0.523959:0.656241:0.523959:0.000000:0.000000:0.000000
+37:@0.537125:0.560512:0.566093:0.560512:0.566093:0.544123:0.537125:0.544123:0.000000:0.000000:0.000000
–37:@0.656241:0.560512:0.683440:0.560512:0.683440:0.544123:0.656241:0.544123:0.000000:0.000000:0.000000
+218:@0.528132:0.580677:0.566093:0.580677:0.566093:0.564288:0.528132:0.564288:0.000000:0.000000:0.000000:0.000000
–218:@0.647248:0.580677:0.683440:0.580677:0.683440:0.564288:0.647248:0.564288:0.000000:0.000000:0.000000:0.000000
+2 040:@0.514569:0.600883:0.565558:0.600883:0.565558:0.584494:0.514569:0.584494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–2 040:@0.634220:0.600883:0.683440:0.600883:0.683440:0.584494:0.634220:0.584494:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
729:@0.817390:0.412597:0.844369:0.412597:0.844369:0.396208:0.817390:0.396208:0.000000:0.000000:0.000000
F:@0.856402:0.674267:0.864915:0.674267:0.864915:0.657878:0.856402:0.657878:0.000000
F:@0.856402:0.694390:0.864915:0.694390:0.864915:0.678001:0.856402:0.678001:0.000000
V:@0.855978:0.714513:0.865358:0.714513:0.865358:0.698124:0.855978:0.698124:0.000000
V:@0.855978:0.734636:0.865358:0.734636:0.865358:0.718247:0.855978:0.718247:0.000000
V:@0.855978:0.754759:0.865358:0.754759:0.865358:0.738370:0.855978:0.738370:0.000000
F:@0.856402:0.774882:0.864915:0.774882:0.864915:0.758493:0.856402:0.758493:0.000000
V:@0.855978:0.811339:0.865358:0.811339:0.865358:0.794950:0.855978:0.794950:0.000000
V:@0.855978:0.847796:0.865358:0.847796:0.865358:0.831407:0.855978:0.831407:0.000000
F:@0.856402:0.867919:0.864915:0.867919:0.864915:0.851530:0.856402:0.851530:0.000000
V:@0.855978:0.888042:0.865358:0.888042:0.865358:0.871653:0.855978:0.871653:0.000000
V:@0.855978:0.908165:0.865358:0.908165:0.865358:0.891776:0.855978:0.891776:0.000000
 ©:@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 :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000