﻿19:@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
8.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
Opuesto aditivo de un número entero:@0.096359:0.098100:0.423188:0.098100:0.423188:0.079663:0.096359:0.079663:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.096359:0.249069:0.163196:0.249069:0.163196:0.232431:0.096359:0.232431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Resolvamos las siguientes adiciones::@0.163196:0.249069:0.429435:0.249069:0.429435:0.232680:0.163196:0.232680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.272788:0.110475:0.272788:0.110475:0.256164:0.096359:0.256164:0.000000:0.000000
  (+2) + (–2) =:@0.110475:0.272788:0.211891:0.272788:0.211891:0.256399:0.110475:0.256399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.305089:0.272788:0.320752:0.272788:0.320752:0.256164:0.305089:0.256164:0.000000:0.000000
  (+8) + (–8) =:@0.320752:0.272788:0.420621:0.272788:0.420621:0.256399:0.320752:0.256399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.513819:0.272788:0.527308:0.272788:0.527308:0.256164:0.513819:0.256164:0.000000:0.000000
  (+12) + (–12) =:@0.527308:0.272788:0.647336:0.272788:0.647336:0.256399:0.527308:0.256399:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.303643:0.160137:0.303643:0.160137:0.287005:0.096359:0.287005:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.096359:0.327362:0.110475:0.327362:0.110475:0.310738:0.096359:0.310738:0.000000:0.000000
  2 – 2 = 0:@0.110475:0.327362:0.183420:0.327362:0.183420:0.310973:0.110475:0.310973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.305089:0.327362:0.320752:0.327362:0.320752:0.310738:0.305089:0.310738:0.000000:0.000000
  8 – 8 = 0:@0.320752:0.327362:0.392150:0.327362:0.392150:0.310973:0.320752:0.310973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.513819:0.327362:0.527308:0.327362:0.527308:0.310738:0.513819:0.310738:0.000000:0.000000
  12 – 12 = 0:@0.527308:0.327362:0.618866:0.327362:0.618866:0.310973:0.527308:0.310973:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Todas las adiciones dan como resultados cero. Se puede observar que dos números :@0.096359:0.351081:0.716504:0.351081:0.716504:0.334692:0.096359:0.334692:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
son opuestos si tienen el mismo valor absoluto.:@0.096359:0.367678:0.443457:0.367678:0.443457:0.351289:0.096359:0.351289:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo: :@0.096359:0.431186:0.163196:0.431186:0.163196:0.414548:0.096359:0.414548:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Hallamos el opuesto del opuesto de –8.:@0.163196:0.431186:0.453336:0.431186:0.453336:0.414797:0.163196:0.414797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.454905:0.160137:0.454905:0.160137:0.438267:0.096359:0.438267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Primero se halla el opuesto de – –(–8) .:@0.096359:0.478624:0.390054:0.478652:0.390054:0.462263:0.096359:0.462235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{[:@0.330127:0.480145:0.339894:0.480145:0.339894:0.459659:0.330127:0.459659:0.000000:0.000000
]}:@0.377081:0.480145:0.386847:0.480145:0.386847:0.459659:0.377081:0.459659:0.000000:0.000000
–(–8) = +8. Después se obtiene el opuesto de este: –(+8) = –8 :@0.096354:0.502371:0.551306:0.502371:0.551306:0.485982:0.096354:0.485982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
– – (–8)  = –8:@0.604468:0.502371:0.711701:0.502377:0.711701:0.485988:0.604468:0.485982:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
{[:@0.613685:0.503870:0.623451:0.503870:0.623451:0.483384:0.613685:0.483384:0.000000:0.000000
]}:@0.664674:0.503870:0.674441:0.503870:0.674441:0.483384:0.664674:0.483384:0.000000:0.000000
Propiedades de la adición:@0.096359:0.542263:0.356386:0.542263:0.356386:0.520753:0.096359:0.520753:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La adición de números enteros cumple con las siguientes propiedades::@0.096359:0.572171:0.616453:0.572171:0.616453:0.555782:0.096359:0.555782:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento neutro.:@0.799995:0.506028:0.920560:0.506028:0.920560:0.490916:0.799995:0.490916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Número que, :@0.799995:0.521116:0.891277:0.521116:0.891277:0.506217:0.799995:0.506217:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
operado con :@0.799995:0.536204:0.889553:0.536204:0.889553:0.521305:0.799995:0.521305:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cualquier otro, no altera el :@0.740993:0.551291:0.918248:0.551291:0.918248:0.536392:0.740993:0.536392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resultado.:@0.740993:0.566379:0.805990:0.566379:0.805990:0.551480:0.740993:0.551480:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El opuesto aditivo de un número entero es el número que al ser sumado con él da :@0.105857:0.129542:0.707058:0.129542:0.707058:0.113153:0.105857:0.113153:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
como resultado el número cero (0).:@0.105857:0.146139:0.363305:0.146139:0.363305:0.129750:0.105857:0.129750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
A cada número entero le corresponde un único número opuesto.:@0.105857:0.169858:0.585078:0.169858:0.585078:0.153469:0.105857:0.153469:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El opuesto de un número tiene el mismo valor absoluto, pero de signo contrario.:@0.105857:0.193577:0.695810:0.193577:0.695810:0.177188:0.105857:0.177188:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El opuesto del número 0 es 0.:@0.105857:0.217296:0.322064:0.217296:0.322064:0.200907:0.105857:0.200907:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El opuesto del opuesto de un número es igual al mismo número.:@0.105857:0.400704:0.581155:0.400704:0.581155:0.384315:0.105857:0.384315:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Propiedad:@0.109897:0.620626:0.192545:0.620626:0.192545:0.603726:0.109897:0.603726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Enunciado:@0.282288:0.620626:0.366797:0.620626:0.366797:0.603726:0.282288:0.603726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Expresión algebraica:@0.454254:0.620626:0.612732:0.620626:0.612732:0.603726:0.454254:0.603726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplos:@0.739109:0.620626:0.812248:0.620626:0.812248:0.603726:0.739109:0.603726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Conmutativa:@0.103595:0.663500:0.198847:0.663500:0.198847:0.647111:0.103595:0.647111:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El orden de los sumandos no :@0.212944:0.655202:0.429395:0.655202:0.429395:0.638813:0.212944:0.638813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
altera el resultado.:@0.212944:0.671799:0.345953:0.671799:0.345953:0.655410:0.212944:0.655410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.494979:0.657374:0.507271:0.657374:0.507271:0.639768:0.494979:0.639768:0.000000
a b:@0.507271:0.656793:0.533051:0.656793:0.533051:0.640431:0.507271:0.640431:0.000000:0.000000:0.000000
, :@0.516540:0.656793:0.523782:0.656793:0.523782:0.640404:0.516540:0.640404:0.000000:0.000000
∈ :@0.537087:0.657374:0.568764:0.657374:0.568764:0.639768:0.537087:0.639768:0.000000:0.000000:0.000000
;:@0.568764:0.656793:0.571970:0.656793:0.571970:0.640404:0.568764:0.640404:0.000000
a:@0.486355:0.673389:0.495624:0.673389:0.495624:0.657028:0.486355:0.657028:0.000000
 +   =   + :@0.495624:0.673389:0.571325:0.673389:0.571325:0.657000:0.495624:0.657000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.514679:0.673389:0.523948:0.673389:0.523948:0.657028:0.514679:0.657028:0.000000
b:@0.543002:0.673389:0.552271:0.673389:0.552271:0.657028:0.543002:0.657028:0.000000
a:@0.571325:0.673389:0.580594:0.673389:0.580594:0.657028:0.571325:0.657028:0.000000
(–7) + (+4) = (+4) + (–7):@0.689354:0.655202:0.861947:0.655202:0.861947:0.638813:0.689354:0.638813:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–3 = –3:@0.747917:0.671799:0.803384:0.671799:0.803384:0.655410:0.747917:0.655410:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Asociativa:@0.114209:0.721062:0.188196:0.721062:0.188196:0.704673:0.114209:0.704673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si se agrupan tres o más :@0.212944:0.704466:0.394123:0.704466:0.394123:0.688077:0.212944:0.688077:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumandos de distintas formas, :@0.212944:0.721062:0.439103:0.721062:0.439103:0.704673:0.212944:0.704673:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
su resultado no cambia.:@0.212944:0.737658:0.387288:0.737658:0.387288:0.721270:0.212944:0.721270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.487535:0.714935:0.499826:0.714935:0.499826:0.697329:0.487535:0.697329:0.000000
a b c:@0.499826:0.714354:0.540514:0.714354:0.540514:0.697993:0.499826:0.697993:0.000000:0.000000:0.000000:0.000000:0.000000
,  , :@0.509095:0.714354:0.532848:0.714354:0.532848:0.697965:0.509095:0.697965:0.000000:0.000000:0.000000:0.000000:0.000000
∈ :@0.544550:0.714935:0.576227:0.714935:0.576227:0.697329:0.544550:0.697329:0.000000:0.000000:0.000000
;:@0.576227:0.714354:0.579433:0.714354:0.579433:0.697965:0.576227:0.697965:0.000000
(  +  ) +   =   + (  +  ):@0.449887:0.730951:0.617099:0.730951:0.617099:0.714562:0.449887:0.714562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.454770:0.730951:0.464039:0.730951:0.464039:0.714590:0.454770:0.714590:0.000000
b:@0.483094:0.730951:0.492363:0.730951:0.492363:0.714590:0.483094:0.714590:0.000000
c:@0.516300:0.730951:0.523966:0.730951:0.523966:0.714590:0.516300:0.714590:0.000000
a:@0.543020:0.730951:0.552289:0.730951:0.552289:0.714590:0.543020:0.714590:0.000000
b:@0.576227:0.730951:0.585496:0.730951:0.585496:0.714590:0.576227:0.714590:0.000000
c:@0.604550:0.730951:0.612216:0.730951:0.612216:0.714590:0.604550:0.714590:0.000000
[:@0.628755:0.714249:0.633638:0.714249:0.633638:0.693763:0.628755:0.693763:0.000000
 (+4) + (–2)   + (–3) = (+4) +   (–2) + (–3) :@0.633453:0.712756:0.917900:0.712756:0.917900:0.696367:0.633453:0.696367:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
]:@0.715898:0.714249:0.720781:0.714249:0.720781:0.693763:0.715898:0.693763:0.000000
[:@0.832340:0.714249:0.837224:0.714249:0.837224:0.693763:0.832340:0.693763:0.000000
]:@0.917714:0.714249:0.922597:0.714249:0.922597:0.693763:0.917714:0.693763:0.000000
–1 = –1:@0.747943:0.729353:0.803411:0.729353:0.803411:0.712964:0.747943:0.712964:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Clausurativa enteros es otro número :@0.106588:0.778616:0.389413:0.778616:0.389413:0.762227:0.106588:0.762227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de dos números :@0.212952:0.762020:0.401132:0.762020:0.401132:0.745631:0.212952:0.745631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
entero.:@0.212952:0.795213:0.264200:0.795213:0.264200:0.778824:0.212952:0.778824:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.494987:0.772489:0.507278:0.772489:0.507278:0.754884:0.494987:0.754884:0.000000
a b:@0.507278:0.771909:0.533059:0.771909:0.533059:0.755547:0.507278:0.755547:0.000000:0.000000:0.000000
, :@0.516548:0.771909:0.523790:0.771909:0.523790:0.755520:0.516548:0.755520:0.000000:0.000000
∈ :@0.537094:0.772489:0.568772:0.772489:0.568772:0.754884:0.537094:0.754884:0.000000:0.000000:0.000000
;:@0.568772:0.771909:0.571978:0.771909:0.571978:0.755520:0.568772:0.755520:0.000000
a:@0.477205:0.788505:0.486474:0.788505:0.486474:0.772144:0.477205:0.772144:0.000000
 +   =  ; :@0.486474:0.788505:0.548759:0.788505:0.548759:0.772116:0.486474:0.772116:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.505528:0.788505:0.514797:0.788505:0.514797:0.772144:0.505528:0.772144:0.000000
c c:@0.533851:0.788505:0.556425:0.788505:0.556425:0.772144:0.533851:0.772144:0.000000:0.000000:0.000000
∈:@0.560461:0.789086:0.575811:0.789086:0.575811:0.771480:0.560461:0.771480:0.000000
 Z:@0.575811:0.788505:0.589779:0.788505:0.589779:0.772116:0.575811:0.772116:0.000000:0.000000
(–5) + (+4) = –1:@0.718662:0.778616:0.832692:0.778616:0.832692:0.762227:0.718662:0.762227:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Del :@0.138965:0.823606:0.167508:0.823606:0.167508:0.807217:0.138965:0.807217:0.000000:0.000000:0.000000:0.000000
elemento :@0.115028:0.836178:0.191318:0.836178:0.191318:0.819554:0.115028:0.819554:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
neutro:@0.125845:0.848750:0.176595:0.848750:0.176595:0.832126:0.125845:0.832126:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un número entero :@0.212952:0.819582:0.439627:0.819582:0.439627:0.803193:0.212952:0.803193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y cero da como resultado:@0.212952:0.836178:0.399328:0.836178:0.399328:0.819789:0.212952:0.819789:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el mismo número entero.:@0.212952:0.852774:0.398590:0.852774:0.398590:0.836386:0.212952:0.836386:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈ :@0.477278:0.830051:0.534551:0.830051:0.534551:0.812445:0.477278:0.812445:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.489570:0.829470:0.498839:0.829470:0.498839:0.813109:0.489570:0.813109:0.000000
, 0 :@0.534551:0.829470:0.554822:0.829470:0.554822:0.813081:0.534551:0.813081:0.000000:0.000000:0.000000:0.000000
∈ :@0.554822:0.830051:0.586499:0.830051:0.586499:0.812445:0.554822:0.812445:0.000000:0.000000:0.000000
;:@0.586499:0.829470:0.589705:0.829470:0.589705:0.813081:0.586499:0.813081:0.000000
a:@0.472487:0.846067:0.481756:0.846067:0.481756:0.829705:0.472487:0.829705:0.000000
 + 0 = 0 +   = :@0.481756:0.846067:0.585227:0.846067:0.585227:0.829678:0.481756:0.829678:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.556904:0.846067:0.566173:0.846067:0.566173:0.829705:0.556904:0.829705:0.000000
a:@0.585227:0.846067:0.594497:0.846067:0.594497:0.829705:0.585227:0.829705:0.000000
(–2) + 0 = 0 + (–2) = –2:@0.691500:0.836164:0.859854:0.836164:0.859854:0.819775:0.691500:0.819775:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Del opuesto :@0.106293:0.887433:0.200199:0.887433:0.200199:0.871044:0.106293:0.871044:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aditivo:@0.126324:0.900005:0.176115:0.900005:0.176115:0.883616:0.126324:0.883616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La suma de un número :@0.212952:0.877116:0.387219:0.877116:0.387219:0.860727:0.212952:0.860727:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con su opuesto aditivo es :@0.212952:0.893712:0.404248:0.893712:0.404248:0.877323:0.212952:0.877323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
igual a cero.:@0.212952:0.910309:0.300391:0.910309:0.300391:0.893920:0.212952:0.893920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀ ∈ :@0.467641:0.884031:0.524914:0.884031:0.524914:0.866425:0.467641:0.866425:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.479932:0.883450:0.489201:0.883450:0.489201:0.867089:0.479932:0.867089:0.000000
, (– ) :@0.524914:0.883450:0.564441:0.883450:0.564441:0.867061:0.524914:0.867061:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.546253:0.883450:0.555522:0.883450:0.555522:0.867089:0.546253:0.867089:0.000000
∈ :@0.564441:0.884031:0.596118:0.884031:0.596118:0.866425:0.564441:0.866425:0.000000:0.000000:0.000000
;:@0.596118:0.883450:0.599325:0.883450:0.599325:0.867061:0.596118:0.867061:0.000000
a:@0.493200:0.907169:0.502469:0.907169:0.502469:0.890808:0.493200:0.890808:0.000000
 + (– )= 0:@0.502469:0.907169:0.573784:0.907169:0.573784:0.890780:0.502469:0.890780:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.535620:0.907169:0.544889:0.907169:0.544889:0.890808:0.535620:0.890808:0.000000
(+3) + (–3) = 3 – 3 = 0:@0.696106:0.893712:0.855248:0.893712:0.855248:0.877323:0.696106:0.877323:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.755361:0.160687:0.765882:0.160687:0.765882:0.143415:0.755361:0.143415:0.000000
: para todo:@0.765882:0.153582:0.837549:0.153582:0.837549:0.138683:0.765882:0.138683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.755361:0.179333:0.765798:0.179333:0.765798:0.162061:0.755361:0.162061:0.000000
: pertenece a, o es :@0.765798:0.172228:0.889515:0.172228:0.889515:0.157329:0.765798:0.157329:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
elemento de:@0.755361:0.187315:0.840881:0.187315:0.840881:0.172416:0.755361:0.172416:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Qué otro símbolo :@0.755361:0.205961:0.874285:0.205961:0.874285:0.191087:0.755361:0.191087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
conoces?:@0.755361:0.221049:0.813157:0.221049:0.813157:0.206175:0.755361:0.206175:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.761969:0.120791:0.898029:0.120791:0.898029:0.103891:0.761969:0.103891:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una buena práctica de :@0.754768:0.332409:0.909810:0.332409:0.909810:0.317510:0.754768:0.317510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
movilidad sostenible es el :@0.754768:0.347497:0.930014:0.347497:0.930014:0.332598:0.754768:0.332598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
uso del transporte :@0.754768:0.362584:0.880309:0.362584:0.880309:0.347685:0.754768:0.347685:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
público como una :@0.754768:0.377672:0.881098:0.377672:0.881098:0.362773:0.754768:0.362773:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
alternativa eficaz y :@0.754768:0.392759:0.880845:0.392759:0.880845:0.377860:0.754768:0.377860:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
económica. Este modo de :@0.754768:0.407847:0.932208:0.407847:0.932208:0.392948:0.754768:0.392948:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
transporte es seguro y :@0.754768:0.422935:0.906927:0.422935:0.906927:0.408036:0.754768:0.408036:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contribuye al cuidado del :@0.754768:0.438022:0.928625:0.438022:0.928625:0.423123:0.754768:0.423123:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
medio ambiente.:@0.754768:0.453110:0.868934:0.453110:0.868934:0.438211:0.754768:0.438211:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Seguridad vial:@0.789370:0.299967:0.897927:0.299967:0.897927:0.283066:0.789370:0.283066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000