33:@0.904366:0.963104:0.932133:0.963104:0.932133:0.941283:0.904366:0.941283:0.000000:0.000000
Matemática:@0.795130:0.956142:0.879896:0.956142:0.879896:0.943479:0.795130:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
9.º EGB:@0.829358:0.967458:0.879897:0.967458:0.879897:0.954794:0.829358:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
DUA:@0.748004:0.068322:0.791647:0.068322:0.791647:0.048070:0.748004:0.048070:0.000000:0.000000:0.000000
. Representación:@0.791647:0.067693:0.923937:0.067693:0.923937:0.050792:0.791647:0.050792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo::@0.096354:0.103970:0.159837:0.103970:0.159837:0.087332:0.096354:0.087332:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresa en forma exacta la cantidad de caucho que necesita el participante para las :@0.096354:0.127689:0.716573:0.127689:0.716573:0.111300:0.096354:0.111300:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llantas de su coche de madera.:@0.096354:0.144285:0.322590:0.144285:0.322590:0.127896:0.096354:0.127896:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096354:0.175141:0.160132:0.175141:0.160132:0.158503:0.096354:0.158503:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos calcular los perímetros en forma exacta. Esto es::@0.096354:0.198860:0.520385:0.198860:0.520385:0.182471:0.096354:0.182471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Rueda pequeña :@0.223835:0.235225:0.344388:0.235225:0.344388:0.218836:0.223835:0.218836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.260017:0.259193:0.270134:0.259193:0.274699:0.243620:0.264582:0.243620:0.000000
π:@0.269176:0.279938:0.279292:0.279938:0.283857:0.264365:0.273741:0.264365:0.000000
=:@0.239461:0.259191:0.249578:0.259191:0.249578:0.243618:0.239461:0.243618:0.000000
×:@0.276427:0.259191:0.286544:0.259191:0.286544:0.243618:0.276427:0.243618:0.000000
=:@0.239461:0.279937:0.249578:0.279937:0.249578:0.264364:0.239461:0.264364:0.000000
P:@0.226413:0.258514:0.235184:0.258514:0.235184:0.242152:0.226413:0.242152:0.000000
cm:@0.310222:0.258514:0.332132:0.258514:0.332132:0.242152:0.310222:0.242152:0.000000:0.000000
P:@0.226413:0.279259:0.235184:0.279259:0.235184:0.262898:0.226413:0.262898:0.000000
cm:@0.286819:0.279259:0.308352:0.279259:0.308352:0.262898:0.286819:0.262898:0.000000:0.000000
2:@0.252851:0.258514:0.261844:0.258514:0.261844:0.242125:0.252851:0.242125:0.000000
10:@0.288140:0.258514:0.305923:0.258514:0.305923:0.242125:0.288140:0.242125:0.000000:0.000000
20:@0.252851:0.279259:0.270634:0.279259:0.270634:0.262870:0.252851:0.262870:0.000000:0.000000
Rueda grande :@0.475285:0.235225:0.582292:0.235225:0.582292:0.218836:0.475285:0.218836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
P:@0.468832:0.258808:0.478082:0.258808:0.482887:0.242419:0.473636:0.242419:0.000000
cm:@0.550300:0.258808:0.573445:0.258808:0.578250:0.242419:0.555104:0.242419:0.000000:0.000000
P:@0.468832:0.279553:0.478082:0.279553:0.482887:0.263164:0.473636:0.263164:0.000000
cm:@0.528924:0.279553:0.552977:0.279557:0.557781:0.263168:0.533728:0.263164:0.000000:0.000000
2:@0.496719:0.258810:0.505712:0.258810:0.505712:0.242421:0.496719:0.242421:0.000000
12:@0.530755:0.258810:0.548520:0.258810:0.548520:0.242421:0.530755:0.242421:0.000000:0.000000
24:@0.496719:0.279556:0.514502:0.279556:0.514502:0.263167:0.496719:0.263167:0.000000:0.000000
π:@0.504664:0.259486:0.514781:0.259486:0.519346:0.243913:0.509229:0.243913:0.000000
π:@0.514181:0.280235:0.524298:0.280235:0.528863:0.264662:0.518746:0.264662:0.000000
=:@0.484036:0.259488:0.494153:0.259488:0.494153:0.243915:0.484036:0.243915:0.000000
×:@0.520007:0.259488:0.530124:0.259488:0.530124:0.243915:0.520007:0.243915:0.000000
=:@0.484036:0.280234:0.494153:0.280234:0.494153:0.264661:0.484036:0.264661:0.000000
Luego sumamos el perímetro de las cuatro ruedas::@0.216405:0.313937:0.586998:0.313937:0.586998:0.297548:0.216405:0.297548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
π:@0.287463:0.336679:0.297579:0.336679:0.302144:0.321106:0.292027:0.321106:0.000000
π:@0.365835:0.336679:0.375952:0.336679:0.380517:0.321106:0.370400:0.321106:0.000000
π:@0.444577:0.336679:0.454693:0.336679:0.459258:0.321106:0.449141:0.321106:0.000000
π:@0.523318:0.336679:0.533435:0.336679:0.538000:0.321106:0.527883:0.321106:0.000000
π:@0.287463:0.357437:0.297579:0.357437:0.302144:0.341864:0.292027:0.341864:0.000000
=:@0.257735:0.336685:0.267852:0.336685:0.267852:0.321112:0.257735:0.321112:0.000000
+:@0.336624:0.336685:0.346740:0.336685:0.346740:0.321112:0.336624:0.321112:0.000000
+:@0.415015:0.336685:0.425131:0.336685:0.425131:0.321112:0.415015:0.321112:0.000000
+:@0.493756:0.336685:0.503873:0.336685:0.503873:0.321112:0.493756:0.321112:0.000000
=:@0.257735:0.357432:0.267852:0.357432:0.267852:0.341859:0.257735:0.341859:0.000000
L:@0.226639:0.336007:0.234268:0.336007:0.234268:0.319646:0.226639:0.319646:0.000000
cm:@0.306947:0.336007:0.328876:0.336007:0.328876:0.319646:0.306947:0.319646:0.000000:0.000000
cm:@0.385338:0.336007:0.407230:0.336007:0.407230:0.319646:0.385338:0.319646:0.000000:0.000000
cm:@0.464061:0.336007:0.485971:0.336007:0.485971:0.319646:0.464061:0.319646:0.000000:0.000000
cm:@0.542802:0.336007:0.564712:0.336007:0.564712:0.319646:0.542802:0.319646:0.000000:0.000000
L:@0.226639:0.356753:0.234268:0.356753:0.234268:0.340392:0.226639:0.340392:0.000000
cm:@0.304367:0.356753:0.326453:0.356754:0.326453:0.340393:0.304367:0.340392:0.000000:0.000000
20 (:@0.271137:0.336007:0.305762:0.336007:0.305762:0.319618:0.271137:0.319618:0.000000:0.000000:0.000000:0.000000
) 20 (:@0.329515:0.336007:0.384117:0.336007:0.384117:0.319618:0.329515:0.319618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 24 (:@0.407870:0.336007:0.462858:0.336007:0.462858:0.319618:0.407870:0.319618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
) 24 (:@0.486611:0.336007:0.541618:0.336007:0.541618:0.319618:0.486611:0.319618:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
):@0.565371:0.336007:0.570254:0.336007:0.570254:0.319618:0.565371:0.319618:0.000000
88:@0.271137:0.356754:0.288919:0.356754:0.288919:0.340365:0.271137:0.340365:0.000000:0.000000
total:@0.233079:0.338011:0.252131:0.338011:0.252131:0.328529:0.233079:0.328529:0.000000:0.000000:0.000000:0.000000:0.000000
total:@0.233079:0.358755:0.252131:0.358755:0.252131:0.349273:0.233079:0.349273:0.000000:0.000000:0.000000:0.000000:0.000000
Sin embargo, esta respuesta para los fines indicados no resulta práctica. Por ello, se :@0.096359:0.395539:0.716525:0.395539:0.716525:0.379150:0.096359:0.379150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
debe redondear el número irracional y obtener un valor que sea comprensible :@0.096359:0.412136:0.716593:0.412136:0.716593:0.395747:0.096359:0.395747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comercialmente.:@0.096359:0.428732:0.219435:0.428732:0.219435:0.412343:0.096359:0.412343:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Cuando los números irracionales que se suman o restan están expresados :@0.105857:0.479542:0.707020:0.479542:0.707020:0.463153:0.105857:0.463153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
en radicales, es necesario observar si son semejantes.:@0.105857:0.496139:0.493751:0.496139:0.493751:0.479750:0.105857:0.479750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un radical es semejante a otro cuando el índice de la raíz y su radicando son igua-:@0.105857:0.519857:0.702892:0.519857:0.702892:0.503469:0.105857:0.503469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
les. A fin de conseguir radicales semejantes, se descomponen los radicandos en :@0.105857:0.536454:0.706983:0.536454:0.706983:0.520065:0.105857:0.520065:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sus factores primos para extraer factores de la raíz, de acuerdo con las propieda-:@0.105857:0.553050:0.703004:0.553050:0.703004:0.536661:0.105857:0.536661:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
des de la radicación. Para sumar o restar radicales semejantes, se suman o restan :@0.105857:0.569647:0.706948:0.569647:0.706948:0.553258:0.105857:0.553258:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
los coeficientes.:@0.105857:0.586243:0.221396:0.586243:0.221396:0.569854:0.105857:0.569854:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.096366:0.622644:0.163203:0.622644:0.163203:0.606007:0.096366:0.606007:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Suma los números reales. ::@0.096366:0.661867:0.288950:0.661867:0.288950:0.645478:0.096366:0.645478:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
−:@0.295962:0.663817:0.306079:0.663817:0.306079:0.648244:0.295962:0.648244:0.000000
+ +:@0.340778:0.663817:0.378057:0.663817:0.378057:0.648244:0.340778:0.648244:0.000000:0.000000:0.000000
−:@0.415318:0.663817:0.425435:0.663817:0.425435:0.648244:0.415318:0.648244:0.000000
+:@0.461601:0.663817:0.471718:0.663817:0.471718:0.648244:0.461601:0.648244:0.000000
=:@0.508721:0.663817:0.518838:0.663817:0.518838:0.648244:0.508721:0.648244:0.000000
32:@0.319154:0.663140:0.336937:0.663140:0.336937:0.646751:0.319154:0.646751:0.000000:0.000000
1:@0.355899:0.654177:0.364891:0.654177:0.364891:0.637789:0.355899:0.637789:0.000000
2:@0.355120:0.673629:0.364113:0.673629:0.364113:0.657240:0.355120:0.657240:0.000000
50 0,75:@0.393335:0.663140:0.459638:0.663140:0.459638:0.646751:0.393335:0.646751:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
72:@0.486561:0.663140:0.504343:0.663140:0.504343:0.646751:0.486561:0.646751:0.000000:0.000000
Solución:@0.096356:0.692736:0.160134:0.692736:0.160134:0.676099:0.096356:0.676099:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
− =:@0.128488:0.730532:0.122536:0.730532:0.122536:0.714959:0.128488:0.714959:0.000000:0.000000:0.000000
×:@0.171148:0.730532:0.138605:0.730532:0.138605:0.714959:0.171148:0.714959:0.000000
+:@0.196855:0.730532:0.169066:0.730532:0.169066:0.714959:0.196855:0.714959:0.000000
+:@0.234761:0.730532:0.206972:0.730532:0.206972:0.714959:0.234761:0.714959:0.000000
×−:@0.278360:0.730532:0.314184:0.730532:0.314184:0.714959:0.278360:0.714959:0.000000:0.000000
+:@0.350339:0.730532:0.315695:0.730532:0.315695:0.714959:0.350339:0.714959:0.000000
×:@0.395099:0.730532:0.360455:0.730532:0.360455:0.714959:0.395099:0.714959:0.000000
=:@0.421322:0.730532:0.431439:0.730532:0.431439:0.714959:0.421322:0.714959:0.000000
2:@0.151670:0.729854:0.160662:0.729854:0.160662:0.713466:0.151670:0.713466:0.000000
2 0,5:@0.184029:0.729854:0.232807:0.729854:0.232807:0.713466:0.184029:0.713466:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.260153:0.729854:0.269146:0.729854:0.269146:0.713466:0.260153:0.713466:0.000000
20,75:@0.291241:0.729854:0.348403:0.729854:0.348403:0.713466:0.291241:0.713466:0.000000:0.000000:0.000000:0.000000:0.000000
6:@0.376118:0.729854:0.385111:0.729854:0.385111:0.713466:0.376118:0.713466:0.000000
2:@0.407998:0.729854:0.416991:0.729854:0.416991:0.713466:0.407998:0.713466:0.000000
4:@0.161207:0.722193:0.166419:0.722193:0.166419:0.712695:0.161207:0.712695:0.000000
2:@0.268837:0.722193:0.274049:0.722193:0.274049:0.712695:0.268837:0.712695:0.000000
2:@0.385587:0.722193:0.390799:0.722193:0.390799:0.712695:0.385587:0.712695:0.000000
−:@0.129241:0.776542:0.088000:0.776542:0.088000:0.760969:0.129241:0.760969:0.000000
+:@0.180598:0.776542:0.139357:0.776542:0.139357:0.760969:0.180598:0.760969:0.000000
+:@0.218504:0.776542:0.182036:0.776542:0.182036:0.760969:0.218504:0.760969:0.000000
−:@0.265089:0.776542:0.228621:0.776542:0.228621:0.760969:0.265089:0.760969:0.000000
+:@0.311379:0.776542:0.273234:0.776542:0.273234:0.760969:0.311379:0.760969:0.000000
=:@0.359641:0.776542:0.321496:0.776542:0.321496:0.760969:0.359641:0.760969:0.000000
2:@0.139191:0.775864:0.148184:0.775864:0.148184:0.759475:0.139191:0.759475:0.000000
2 0,55 20,756 2:@0.167773:0.775864:0.355292:0.775864:0.355292:0.759475:0.167773:0.759475:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.148296:0.768202:0.153508:0.768202:0.153508:0.758704:0.148296:0.758704:0.000000
=:@0.112419:0.776773:0.122536:0.776773:0.122536:0.761200:0.112419:0.761200:0.000000
42 52 62:@0.145492:0.821752:0.266783:0.821752:0.266783:0.805363:0.145492:0.805363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(0,5 0,75):@0.287477:0.821752:0.365923:0.821752:0.365923:0.805363:0.287477:0.805363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.129107:0.828587:-0.004070:0.828587:-0.004070:0.801179:0.129107:0.801179:0.000000
):@0.268419:0.828587:0.135243:0.828587:0.135243:0.801179:0.268419:0.801179:0.000000
− =:@0.135546:0.822429:0.122536:0.822886:0.122536:0.807313:0.135546:0.806857:0.000000:0.000000:0.000000
+:@0.179312:0.822429:0.145663:0.822429:0.145663:0.806857:0.179312:0.806857:0.000000
+:@0.223870:0.822429:0.181836:0.822429:0.181836:0.806857:0.223870:0.806857:0.000000
+:@0.276020:0.822429:0.233987:0.822429:0.233987:0.806857:0.276020:0.806857:0.000000
−:@0.317574:0.822429:0.276960:0.822429:0.276960:0.806857:0.317574:0.806857:0.000000
=:@0.368306:0.822429:0.327691:0.822429:0.327691:0.806857:0.368306:0.806857:0.000000
−:@0.164570:0.874582:0.174686:0.874582:0.174686:0.859009:0.164570:0.859009:0.000000
72 0,25 (valor exacto):@0.130073:0.873905:0.315638:0.876118:0.315638:0.859729:0.130073:0.857516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
=:@0.112419:0.874582:0.122536:0.874582:0.122536:0.859009:0.112419:0.859009:0.000000
 = 9,65 (valor redondeado a las centésimas):@0.105859:0.906973:0.422037:0.906973:0.422037:0.890584:0.105859:0.890584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©:@0.741551:0.851477:0.741551:0.846370:0.729469:0.846370:0.729469:0.851477:0.000000
Freepick:@0.741551:0.846370:0.741551:0.821355:0.729640:0.821355:0.729640:0.846370:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedades :@0.755005:0.163301:0.845551:0.163301:0.845551:0.148188:0.755005:0.148188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la adición :@0.755005:0.178388:0.846891:0.178388:0.846891:0.163276:0.755005:0.163276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de números reales :@0.755005:0.193476:0.886291:0.193476:0.886291:0.178363:0.755005:0.178363:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa:@0.792170:0.221472:0.877940:0.221472:0.877940:0.206360:0.792170:0.206360:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a b c:@0.766081:0.239373:0.802729:0.239373:0.802729:0.228773:0.766081:0.228773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.784392:0.239373:0.796409:0.239373:0.796409:0.228583:0.784392:0.228583:0.000000:0.000000:0.000000
∈:@0.805267:0.239840:0.814314:0.239840:0.814314:0.229116:0.805267:0.229116:0.000000
!:@0.816548:0.239973:0.825710:0.239973:0.825710:0.228440:0.816548:0.228440:0.000000
⇒:@0.827829:0.239840:0.840354:0.239840:0.840354:0.229116:0.827829:0.229116:0.000000
a b c:@0.842536:0.239373:0.880808:0.239373:0.880808:0.228773:0.842536:0.228773:0.000000:0.000000:0.000000:0.000000:0.000000
+ =:@0.850112:0.239840:0.873588:0.239840:0.873588:0.229116:0.850112:0.229116:0.000000:0.000000:0.000000
∈:@0.883346:0.239840:0.892394:0.239840:0.892394:0.229116:0.883346:0.229116:0.000000
!:@0.894627:0.239973:0.903789:0.239973:0.903789:0.228440:0.894627:0.228440:0.000000
Conmutativa:@0.789900:0.264239:0.880210:0.264239:0.880210:0.249127:0.789900:0.249127:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si a b:@0.771997:0.282426:0.800399:0.282426:0.800399:0.271552:0.771997:0.271552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
,:@0.790779:0.282426:0.793044:0.282426:0.793044:0.271357:0.790779:0.271357:0.000000
∈ ⇒:@0.802429:0.282846:0.835986:0.282846:0.835986:0.270116:0.802429:0.270116:0.000000:0.000000:0.000000
!:@0.811567:0.283041:0.820965:0.283041:0.820965:0.271211:0.811567:0.271211:0.000000
a b b a:@0.837965:0.282426:0.897399:0.282426:0.897399:0.271552:0.837965:0.271552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
+ = +:@0.846282:0.282846:0.888860:0.282846:0.888860:0.270116:0.846282:0.270116:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.800337:0.307008:0.869775:0.307008:0.869775:0.291895:0.800337:0.291895:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Modulativa:@0.796349:0.362367:0.873779:0.362367:0.873779:0.347254:0.796349:0.347254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.791913:0.381326:0.798402:0.381326:0.798402:0.370550:0.791913:0.370550:0.000000
,0:@0.798840:0.381326:0.808180:0.381326:0.808180:0.370357:0.798840:0.370357:0.000000:0.000000
∈:@0.810385:0.381800:0.819583:0.381800:0.819583:0.370899:0.810385:0.370899:0.000000
!:@0.821853:0.381935:0.831166:0.381935:0.831166:0.370212:0.821853:0.370212:0.000000
⇒:@0.833320:0.381800:0.846052:0.381800:0.846052:0.370899:0.833320:0.370899:0.000000
a:@0.848271:0.381326:0.854759:0.381326:0.854759:0.370550:0.848271:0.370550:0.000000
+ =:@0.855972:0.381800:0.879577:0.381800:0.879577:0.370899:0.855972:0.370899:0.000000:0.000000:0.000000
0:@0.864253:0.381326:0.870548:0.381326:0.870548:0.370357:0.864253:0.370357:0.000000
a:@0.881551:0.381326:0.888039:0.381326:0.888039:0.370550:0.881551:0.370550:0.000000
Cancelativa:@0.794926:0.405130:0.875185:0.405130:0.875185:0.390017:0.794926:0.390017:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a a:@0.774930:0.423760:0.799607:0.423760:0.799607:0.412882:0.774930:0.412882:0.000000:0.000000:0.000000
,:@0.781923:0.423760:0.784189:0.423760:0.784189:0.412687:0.781923:0.412687:0.000000
− ∈ ⇒:@0.785256:0.424180:0.835209:0.424180:0.835209:0.411445:0.785256:0.411445:0.000000:0.000000:0.000000:0.000000:0.000000
!:@0.810780:0.424376:0.820182:0.424376:0.820182:0.412540:0.810780:0.412540:0.000000
a:@0.837189:0.423760:0.843739:0.423760:0.843739:0.412882:0.837189:0.412882:0.000000
+:@0.845510:0.424180:0.852659:0.424180:0.852659:0.411445:0.845510:0.411445:0.000000
(:@0.854091:0.423760:0.857542:0.423760:0.857542:0.412687:0.854091:0.412687:0.000000
−:@0.858389:0.424180:0.865538:0.424180:0.865538:0.411445:0.858389:0.411445:0.000000
a:@0.866189:0.423760:0.872739:0.423760:0.872739:0.412882:0.866189:0.412882:0.000000
) 0:@0.873442:0.423760:0.894525:0.423760:0.894525:0.412687:0.873442:0.412687:0.000000:0.000000:0.000000
=:@0.878768:0.424180:0.885918:0.424180:0.885918:0.411445:0.878768:0.411445:0.000000
Si a b c:@0.782535:0.326315:0.820483:0.326315:0.820483:0.315339:0.782535:0.315339:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, ,:@0.801496:0.326315:0.813940:0.326315:0.813940:0.315141:0.801496:0.315141:0.000000:0.000000:0.000000
∈ ⇒:@0.822862:0.326739:0.856736:0.326739:0.856736:0.313889:0.822862:0.313889:0.000000:0.000000:0.000000
!:@0.832086:0.326936:0.841573:0.326936:0.841573:0.314994:0.832086:0.314994:0.000000
a b:@0.863332:0.326315:0.887299:0.326315:0.887299:0.315339:0.863332:0.315339:0.000000:0.000000:0.000000
+:@0.871729:0.326739:0.878942:0.326739:0.878942:0.313889:0.871729:0.313889:0.000000
(:@0.858164:0.328054:0.862540:0.328054:0.862540:0.311221:0.858164:0.311221:0.000000
):@0.887991:0.328054:0.892367:0.328054:0.892367:0.311221:0.887991:0.311221:0.000000
+ = +:@0.893662:0.326739:0.936327:0.326739:0.936327:0.313889:0.893662:0.313889:0.000000:0.000000:0.000000:0.000000:0.000000
c a:@0.902887:0.326315:0.927326:0.326315:0.927326:0.315339:0.902887:0.315339:0.000000:0.000000:0.000000
b c:@0.942661:0.326315:0.965747:0.326315:0.965747:0.315339:0.942661:0.315339:0.000000:0.000000:0.000000
+:@0.951057:0.326739:0.958271:0.326739:0.958271:0.313889:0.951057:0.313889:0.000000
(:@0.937785:0.328054:0.942161:0.328054:0.942161:0.311221:0.937785:0.311221:0.000000
):@0.966784:0.328054:0.971160:0.328054:0.971160:0.311221:0.966784:0.311221:0.000000
:@0.755180:0.341296:0.764494:0.341296:0.764494:0.329572:0.755180:0.329572:0.000000
(:@0.780942:0.342470:0.785238:0.342470:0.785238:0.328190:0.780942:0.328190:0.000000
):@0.810662:0.342470:0.814958:0.342470:0.814958:0.328190:0.810662:0.328190:0.000000
(:@0.860570:0.342470:0.864865:0.342470:0.864865:0.328190:0.860570:0.328190:0.000000
):@0.889490:0.342470:0.893786:0.342470:0.893786:0.328190:0.889490:0.328190:0.000000
∈:@0.746055:0.341160:0.755253:0.341160:0.755253:0.330259:0.746055:0.330259:0.000000
+:@0.794467:0.341160:0.801548:0.341160:0.801548:0.330259:0.794467:0.330259:0.000000
+= +:@0.816452:0.341160:0.858930:0.341160:0.858930:0.330259:0.816452:0.330259:0.000000:0.000000:0.000000:0.000000
+:@0.873842:0.341160:0.880923:0.341160:0.880923:0.330259:0.873842:0.330259:0.000000
Si ab c:@0.705818:0.340686:0.743652:0.340686:0.743652:0.329233:0.705818:0.329233:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a b:@0.786000:0.340686:0.809968:0.340686:0.809968:0.329233:0.786000:0.329233:0.000000:0.000000:0.000000
c a:@0.825718:0.340686:0.849878:0.340686:0.849878:0.329233:0.825718:0.329233:0.000000:0.000000:0.000000
b c:@0.865383:0.340686:0.888486:0.340686:0.888486:0.329233:0.865383:0.329233:0.000000:0.000000:0.000000
,,:@0.724728:0.340686:0.737086:0.340686:0.737086:0.329214:0.724728:0.329214:0.000000:0.000000
     Matemática:@0.775870:0.130859:0.883411:0.130859:0.883411:0.113958:0.775870:0.113958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de dos números :@0.755005:0.634487:0.926077:0.634487:0.926077:0.619588:0.755005:0.619588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracionales no siempre es :@0.755005:0.649574:0.931171:0.649574:0.931171:0.634675:0.755005:0.634675:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
un número irracional; por :@0.755005:0.664662:0.928089:0.664662:0.928089:0.649763:0.755005:0.649763:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ejemplo::@0.755005:0.679750:0.813186:0.679750:0.813186:0.664851:0.755005:0.664851:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.798670:0.709835:0.804806:0.709835:0.804806:0.681647:0.798670:0.681647:0.000000
):@0.839653:0.709835:0.845789:0.709835:0.845789:0.681647:0.839653:0.681647:0.000000
+−:@0.786211:0.704167:0.816008:0.704167:0.816008:0.688594:0.786211:0.688594:0.000000:0.000000
=:@0.848459:0.704167:0.858576:0.704167:0.858576:0.688594:0.848459:0.688594:0.000000
3:@0.773804:0.703489:0.782797:0.703489:0.782797:0.687100:0.773804:0.687100:0.000000
3:@0.829087:0.703489:0.838080:0.703489:0.838080:0.687100:0.829087:0.687100:0.000000
0:@0.861858:0.703489:0.870851:0.703489:0.870851:0.687100:0.861858:0.687100:0.000000
.:@0.874265:0.705529:0.877180:0.705529:0.877180:0.690630:0.874265:0.690630:0.000000
La suma de un número :@0.755005:0.734875:0.913430:0.734875:0.913430:0.719976:0.755005:0.719976:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
racional y un irracional :@0.755005:0.749962:0.908622:0.749962:0.908622:0.735063:0.755005:0.735063:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
siempre es un número :@0.755005:0.765050:0.909040:0.765050:0.909040:0.750151:0.755005:0.750151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
irracional.:@0.755005:0.780138:0.818865:0.780138:0.818865:0.765239:0.755005:0.765239:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
     Matemática:@0.775870:0.602045:0.883411:0.602045:0.883411:0.585144:0.775870:0.585144:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000