20:@0.036727:0.974518:0.057230:0.974518:0.057230:0.956333:0.036727:0.956333:0.000000:0.000000 Números reales:@0.073089:0.043661:0.211864:0.043661:0.211864:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2.1 Definición de los números racionales:@0.293660:0.236884:0.610114:0.236884:0.610114:0.219937:0.293660:0.219937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número que se pueda expresar como entero sobre entero, con el divisor diferente de :@0.293660:0.264246:0.930805:0.264246:0.930805:0.247812:0.293660:0.247812:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cero, se denomina :@0.293660:0.280888:0.427926:0.280888:0.427926:0.264454:0.293660:0.264454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 número racional:@0.427554:0.280888:0.549602:0.280888:0.549602:0.264218:0.427554:0.264218:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 . Estos se representan con la letra Q:@0.549282:0.280888:0.797702:0.280888:0.797702:0.264454:0.549282:0.264454:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número de la forma con , :@0.344851:0.311786:0.616436:0.311786:0.616436:0.295352:0.344851:0.295352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 a:@0.537745:0.306572:0.547004:0.306572:0.547004:0.290166:0.537745:0.290166:0.000000 b:@0.537745:0.320551:0.547004:0.320551:0.547004:0.304145:0.537745:0.304145:0.000000 a b:@0.586966:0.311786:0.612479:0.311786:0.612479:0.295380:0.586966:0.295380:0.000000:0.000000:0.000000 [:@0.616363:0.311647:0.631696:0.311647:0.631696:0.297599:0.616363:0.297599:0.000000 Z b:@0.631604:0.311786:0.657135:0.311786:0.657135:0.295380:0.631604:0.295380:0.000000:0.000000:0.000000 , :@0.640808:0.311786:0.661092:0.311786:0.661092:0.295352:0.640808:0.295352:0.000000:0.000000:0.000000:0.000000 Þ :@0.661019:0.311231:0.680862:0.311231:0.680862:0.297516:0.661019:0.297516:0.000000:0.000000 0 se llama número racional:@0.680770:0.311786:0.875842:0.311786:0.875842:0.295352:0.680770:0.295352:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número natural se puede expresar como racional (si se divide entre 1).:@0.293628:0.339148:0.841585:0.339148:0.841585:0.322714:0.293628:0.322714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Todo número entero se puede expresar como racional (si se divide entre 1).:@0.293628:0.366510:0.838588:0.366510:0.838588:0.350076:0.293628:0.350076:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Los decimales finitos son números racionales. Recuerda que los decimales finitos se :@0.293628:0.393872:0.930968:0.393872:0.930968:0.377438:0.293628:0.377438:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 pueden expresar como fracciones::@0.293628:0.410514:0.543297:0.410514:0.543297:0.394080:0.293628:0.394080:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Expresar 2,35 como fracción.:@0.293628:0.437876:0.499931:0.437876:0.499931:0.421442:0.293628:0.421442:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 2,35 :@0.508459:0.469662:0.561509:0.469662:0.561509:0.453228:0.508459:0.453228:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.542237:0.469107:0.557570:0.469107:0.557570:0.455391:0.542237:0.455391:0.000000 235:@0.566415:0.463566:0.593216:0.463566:0.593216:0.447132:0.566415:0.447132:0.000000:0.000000:0.000000 100:@0.566415:0.477545:0.593216:0.477545:0.593216:0.461111:0.566415:0.461111:0.000000:0.000000:0.000000 = :@0.598076:0.469682:0.616962:0.469682:0.616962:0.453248:0.598076:0.453248:0.000000:0.000000:0.000000 47:@0.626257:0.463566:0.644149:0.463566:0.644149:0.447132:0.626257:0.447132:0.000000:0.000000 20:@0.626257:0.477545:0.644149:0.477545:0.644149:0.461111:0.626257:0.461111:0.000000:0.000000 2 :@0.653463:0.469682:0.689560:0.469682:0.689560:0.453248:0.653463:0.453248:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.657421:0.469127:0.672754:0.469127:0.672754:0.455411:0.657421:0.455411:0.000000 7:@0.696272:0.463566:0.705255:0.463566:0.705255:0.447132:0.696272:0.447132:0.000000 20:@0.691817:0.477545:0.709691:0.477545:0.709691:0.461111:0.691817:0.461111:0.000000:0.000000 :@0.712065:0.469682:0.716097:0.469682:0.716097:0.453248:0.712065:0.453248:0.000000 Expresar 0,144 como fracción:@0.293650:0.497044:0.505733:0.497044:0.505733:0.480610:0.293650:0.480610:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,144 :@0.498725:0.528830:0.560684:0.528830:0.560684:0.512396:0.498725:0.512396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.541412:0.528275:0.556745:0.528275:0.556745:0.514559:0.541412:0.514559:0.000000 144:@0.568691:0.522721:0.595492:0.522721:0.595492:0.506287:0.568691:0.506287:0.000000:0.000000:0.000000 1000:@0.564237:0.536700:0.599947:0.536700:0.599947:0.520267:0.564237:0.520267:0.000000:0.000000:0.000000:0.000000 :@0.603481:0.528837:0.626711:0.528837:0.626711:0.512403:0.603481:0.512403:0.000000:0.000000:0.000000 5:@0.607439:0.528282:0.622772:0.528282:0.622772:0.514567:0.607439:0.514567:0.000000 36:@0.636022:0.522721:0.653914:0.522721:0.653914:0.506287:0.636022:0.506287:0.000000:0.000000 250:@0.631567:0.536700:0.658368:0.536700:0.658368:0.520267:0.631567:0.520267:0.000000:0.000000:0.000000 2 :@0.663228:0.528837:0.699324:0.528837:0.699324:0.512403:0.663228:0.512403:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.667185:0.528282:0.682518:0.528282:0.682518:0.514567:0.667185:0.514567:0.000000 7:@0.706038:0.522721:0.715021:0.522721:0.715021:0.506287:0.706038:0.506287:0.000000 20:@0.701583:0.536700:0.719457:0.536700:0.719457:0.520267:0.701583:0.520267:0.000000:0.000000 :@0.721831:0.528837:0.725862:0.528837:0.725862:0.512403:0.721831:0.512403:0.000000 Los decimales infinitos periódicos también se pueden expresar como fracción. Expresar :@0.293660:0.556199:0.931473:0.556199:0.931473:0.539765:0.293660:0.539765:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 0,7777… como fracción:@0.293660:0.572841:0.468179:0.572841:0.468179:0.556407:0.293660:0.556407:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Llamamos a la fracción :@0.293660:0.600203:0.462988:0.600203:0.462988:0.583769:0.293660:0.583769:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.462749:0.600203:0.467443:0.600203:0.467443:0.583797:0.462749:0.583797:0.000000 f:@0.563382:0.627565:0.568075:0.627565:0.568075:0.611159:0.563382:0.611159:0.000000 0,7777…:@0.568002:0.627565:0.657240:0.627565:0.657240:0.611131:0.568002:0.611131:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.571959:0.627010:0.587293:0.627010:0.587293:0.613294:0.571959:0.613294:0.000000 10 7,777…:@0.558927:0.654927:0.661676:0.654927:0.661676:0.638493:0.558927:0.638493:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.576727:0.654927:0.581421:0.654927:0.581421:0.638521:0.576727:0.638521:0.000000 5:@0.585305:0.654372:0.600638:0.654372:0.600638:0.640656:0.585305:0.640656:0.000000 Si restamos 10 , obtenemos:@0.496324:0.682289:0.724290:0.682289:0.724290:0.665855:0.496324:0.665855:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.600417:0.682289:0.605111:0.682289:0.605111:0.665883:0.600417:0.665883:0.000000 5:@0.608995:0.681734:0.624328:0.681734:0.624328:0.668018:0.608995:0.668018:0.000000 f:@0.628194:0.682289:0.632887:0.682289:0.632887:0.665883:0.628194:0.665883:0.000000 9 7:@0.587458:0.709651:0.633127:0.709651:0.633127:0.693217:0.587458:0.693217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.596367:0.709651:0.601061:0.709651:0.601061:0.693245:0.596367:0.693245:0.000000 5:@0.604945:0.709096:0.620278:0.709096:0.620278:0.695380:0.604945:0.695380:0.000000 De donde :@0.546962:0.741437:0.651718:0.741437:0.651718:0.725003:0.546962:0.725003:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.623868:0.741437:0.628562:0.741437:0.628562:0.725031:0.623868:0.725031:0.000000 5:@0.632446:0.740882:0.647779:0.740882:0.647779:0.727166:0.632446:0.727166:0.000000 7:@0.658129:0.735335:0.667112:0.735335:0.667112:0.718901:0.658129:0.718901:0.000000 9:@0.658129:0.749314:0.667112:0.749314:0.667112:0.732880:0.658129:0.732880:0.000000 Expresar 2,363636... como fracción:@0.293665:0.768812:0.541863:0.768812:0.541863:0.752379:0.293665:0.752379:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Llamamos a la fracción :@0.293665:0.796174:0.462993:0.796174:0.462993:0.779741:0.293665:0.779741:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.462754:0.796174:0.467448:0.796174:0.467448:0.779768:0.462754:0.779768:0.000000 Como el periodo tiene dos cifras, podemos escribir que 100f 236,3636…:@0.293665:0.823536:0.836587:0.823536:0.836587:0.807102:0.293665:0.807102:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.733488:0.822982:0.748821:0.822982:0.748821:0.809266:0.733488:0.809266:0.000000 Si restamos 100 , obtenemos:@0.293665:0.850898:0.530522:0.850898:0.530522:0.834464:0.293665:0.834464:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.406649:0.850898:0.411343:0.850898:0.411343:0.834492:0.406649:0.834492:0.000000 2:@0.415227:0.850344:0.430560:0.850344:0.430560:0.836628:0.415227:0.836628:0.000000 f:@0.434425:0.850898:0.439119:0.850898:0.439119:0.834492:0.434425:0.834492:0.000000 99 236:@0.574100:0.878260:0.646477:0.878260:0.646477:0.861826:0.574100:0.861826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f:@0.591899:0.878260:0.596593:0.878260:0.596593:0.861854:0.591899:0.861854:0.000000 5:@0.600477:0.877705:0.615810:0.877705:0.615810:0.863990:0.600477:0.863990:0.000000 De donde :@0.540304:0.910046:0.617331:0.910046:0.617331:0.893612:0.540304:0.893612:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 f :@0.617209:0.910046:0.625143:0.910046:0.625143:0.893640:0.617209:0.893640:0.000000:0.000000 5 :@0.625088:0.909491:0.644931:0.909491:0.644931:0.895776:0.625088:0.895776:0.000000:0.000000 236:@0.649154:0.903942:0.675955:0.903942:0.675955:0.887508:0.649154:0.887508:0.000000:0.000000:0.000000 99:@0.653609:0.917921:0.671501:0.917921:0.671501:0.901488:0.653609:0.901488:0.000000:0.000000 Tema 2. Números racionales:@0.073089:0.098522:0.488018:0.098522:0.488018:0.067281:0.073089:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Reto matemático:@0.302768:0.139600:0.437491:0.139600:0.437491:0.122653:0.302768:0.122653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Competencia :@0.078581:0.241076:0.187141:0.241076:0.187141:0.224129:0.078581:0.224129:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 matemática :@0.078581:0.257718:0.176057:0.257718:0.176057:0.240771:0.078581:0.240771:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 DBA 1 (Ev. 2) Identifica las diferentes representaciones (decimales y no decimales) para argumentar por qué un número es o no racional.:@0.206368:0.971330:0.920492:0.971330:0.920492:0.959378:0.206368:0.959378:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 En física, los números :@0.078581:0.515109:0.222452:0.515109:0.222452:0.500169:0.078581:0.500169:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racionales se utilizan para :@0.078581:0.530238:0.250003:0.530238:0.250003:0.515298:0.078581:0.515298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresar cantidades como :@0.078581:0.545367:0.256037:0.545367:0.256037:0.530427:0.078581:0.530427:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 velocidades. Por ejemplo, :@0.078581:0.560496:0.249424:0.560496:0.249424:0.545556:0.078581:0.545556:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 La velocidad promedio :@0.078581:0.575625:0.234310:0.575625:0.234310:0.560685:0.078581:0.560685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 del automóvil se puede :@0.078581:0.590754:0.237991:0.590754:0.237991:0.575814:0.078581:0.575814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 calcular como la razón :@0.078581:0.605883:0.230001:0.605883:0.230001:0.590943:0.078581:0.590943:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 entre la distancia recorrida :@0.078581:0.621011:0.256355:0.621011:0.256355:0.606072:0.078581:0.606072:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y el tiempo tomado::@0.078581:0.636140:0.212211:0.636140:0.212211:0.621201:0.078581:0.621201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Aquí, la velocidad (una :@0.078581:0.680216:0.231549:0.680216:0.231549:0.665276:0.078581:0.665276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 cantidad física medida) se :@0.078581:0.695345:0.252663:0.695345:0.252663:0.680405:0.078581:0.680405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 expresa como una fracción :@0.078581:0.710474:0.260505:0.710474:0.260505:0.695534:0.078581:0.695534:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 de kilómetros por hora, lo :@0.078581:0.725603:0.251562:0.725603:0.251562:0.710663:0.078581:0.710663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 que representa un número :@0.078581:0.740732:0.260008:0.740732:0.260008:0.725792:0.078581:0.725792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racional. :@0.078581:0.755861:0.136942:0.755861:0.136942:0.740921:0.078581:0.740921:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 ¿En qué situación cotidiana :@0.078581:0.875014:0.262737:0.875014:0.262737:0.860074:0.078581:0.860074:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 podrías utilizar un número :@0.078581:0.890143:0.256248:0.890143:0.256248:0.875203:0.078581:0.875203:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 racional?:@0.078581:0.905272:0.136932:0.905272:0.136932:0.890332:0.078581:0.890332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Interdisciplinariedad :@0.078581:0.457403:0.244955:0.457403:0.244955:0.440456:0.078581:0.440456:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Matemáticas :@0.078581:0.474045:0.179397:0.474045:0.179397:0.457611:0.078581:0.457611:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 y Física:@0.078581:0.490687:0.129267:0.490687:0.129267:0.474253:0.078581:0.474253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Velocidad :@0.073812:0.652567:0.129688:0.652567:0.129688:0.642664:0.073812:0.642664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.118074:0.652233:0.127314:0.652233:0.127314:0.643967:0.118074:0.643967:0.000000 Distancia:@0.130562:0.649723:0.170107:0.649723:0.170107:0.639819:0.130562:0.639819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Tiempo:@0.133502:0.658949:0.167186:0.658949:0.167186:0.649046:0.133502:0.649046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 :@0.172025:0.652567:0.174454:0.652567:0.174454:0.642664:0.172025:0.642664:0.000000 5:@0.173364:0.652233:0.182604:0.652233:0.182604:0.643967:0.173364:0.643967:0.000000 60 km:@0.186173:0.649723:0.213270:0.649723:0.213270:0.639819:0.186173:0.639819:0.000000:0.000000:0.000000:0.000000:0.000000 1 hora:@0.185841:0.658949:0.213617:0.658949:0.213617:0.649046:0.185841:0.649046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 60 km/h:@0.216833:0.652567:0.264501:0.652567:0.264501:0.642664:0.216833:0.642664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 5:@0.218170:0.652233:0.227411:0.652233:0.227411:0.643967:0.218170:0.643967:0.000000 Racionales:@0.143285:0.284502:0.197384:0.284502:0.197384:0.273736:0.143285:0.273736:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Enteros:@0.144793:0.310001:0.183046:0.310001:0.183046:0.299234:0.144793:0.299234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 Naturales:@0.144922:0.347896:0.193373:0.347896:0.193373:0.337130:0.144922:0.337130:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 -4:@0.123631:0.288525:0.133031:0.288525:0.133031:0.277848:0.123631:0.277848:0.000000:0.000000 -5:@0.131309:0.317708:0.140708:0.317708:0.140708:0.307032:0.131309:0.307032:0.000000:0.000000 -15:@0.119577:0.336801:0.134813:0.336801:0.134813:0.326124:0.119577:0.326124:0.000000:0.000000:0.000000 0:@0.138448:0.352694:0.144284:0.352694:0.144284:0.342017:0.138448:0.342017:0.000000 -71:@0.143650:0.323907:0.158886:0.323907:0.158886:0.313230:0.143650:0.313230:0.000000:0.000000:0.000000 1.15:@0.175294:0.294138:0.194883:0.294138:0.194883:0.283461:0.175294:0.283461:0.000000:0.000000:0.000000:0.000000 9,5:@0.219686:0.360641:0.233439:0.360641:0.233439:0.349964:0.219686:0.349964:0.000000:0.000000:0.000000 1,888...:@0.224577:0.338080:0.256245:0.338080:0.256245:0.327403:0.224577:0.327403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 -90:@0.184742:0.323916:0.199977:0.323916:0.199977:0.313239:0.184742:0.313239:0.000000:0.000000:0.000000 -8:@0.203529:0.333188:0.212929:0.333188:0.212929:0.322511:0.203529:0.322511:0.000000:0.000000 -7:@0.207105:0.345603:0.216505:0.345603:0.216505:0.334926:0.207105:0.334926:0.000000:0.000000 +:@0.173249:0.362371:0.180377:0.362371:0.180377:0.351694:0.173249:0.351694:0.000000 100:@0.180377:0.362371:0.197885:0.362371:0.197885:0.351694:0.180377:0.351694:0.000000:0.000000:0.000000 +:@0.156841:0.371093:0.163969:0.371093:0.163969:0.360416:0.156841:0.360416:0.000000 580:@0.163969:0.371093:0.181477:0.371093:0.181477:0.360416:0.163969:0.360416:0.000000:0.000000:0.000000 +:@0.139417:0.362470:0.146544:0.362470:0.146544:0.351793:0.139417:0.351793:0.000000 12:@0.146544:0.362470:0.158217:0.362470:0.158217:0.351793:0.146544:0.351793:0.000000:0.000000 +:@0.141773:0.339747:0.148900:0.339747:0.148900:0.329070:0.141773:0.329070:0.000000 2:@0.148900:0.339747:0.154736:0.339747:0.154736:0.329070:0.148900:0.329070:0.000000 +:@0.157858:0.334350:0.164985:0.334350:0.164985:0.323673:0.157858:0.323673:0.000000 8:@0.164985:0.334350:0.170821:0.334350:0.170821:0.323673:0.164985:0.323673:0.000000 +:@0.170451:0.339837:0.177578:0.339837:0.177578:0.329160:0.170451:0.329160:0.000000 40:@0.177578:0.339837:0.189250:0.339837:0.189250:0.329160:0.177578:0.329160:0.000000:0.000000 5:@0.125437:0.297877:0.131273:0.297877:0.131273:0.287200:0.125437:0.287200:0.000000 -10:@0.207379:0.296763:0.222614:0.296763:0.222614:0.286086:0.207379:0.286086:0.000000:0.000000:0.000000 3:@0.212079:0.306106:0.217915:0.306106:0.217915:0.295429:0.212079:0.295429:0.000000 7:@0.235112:0.313765:0.240948:0.313765:0.240948:0.303088:0.235112:0.303088:0.000000 4:@0.235112:0.323108:0.240948:0.323108:0.240948:0.312432:0.235112:0.312432:0.000000 8:@0.101717:0.308673:0.107553:0.308673:0.107553:0.297996:0.101717:0.297996:0.000000 2,5:@0.084101:0.330324:0.097854:0.330324:0.097854:0.319647:0.084101:0.319647:0.000000:0.000000:0.000000 3:@0.101717:0.318016:0.107553:0.318016:0.107553:0.307339:0.101717:0.307339:0.000000 6:@0.098014:0.345783:0.103850:0.345783:0.103850:0.335106:0.098014:0.335106:0.000000 8:@0.098014:0.355126:0.103850:0.355126:0.103850:0.344449:0.098014:0.344449:0.000000 Escribe los números que corresponden a las representaciones.:@0.293660:0.161853:0.743780:0.161853:0.743780:0.145419:0.293660:0.145419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000 MUESTRA EDITORIAL:@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