ࡱ> RTQ`#` ӌbjbjmm 4'%tt ///8/0L@T1F:"h:h:h:C;C;C;-@/@/@/@/@/@/@$AhXDPS@]/=C;C;/=/=S@h:h:@???/=h:h:-@?/=-@???h:H1 P,C/>0?-@@0@?DA?D?D?0C;h;J?;<1<C;C;C;S@S@?C;C;C;@/=/=/=/=l/Dl/T:6p I.E.S. Mar de Alborn Departamento de Matemticas 4 E.S.O. Opcin A PROPUESTA DE ACTIVIDADES 1 EVALUACIN 1. Indica si los siguientes nmeros son naturales, enteros, racionales o irracionales (si pertenecen a varios conjuntos, indica el menor: -4 ; 1254 ; 7123123 ;123... ; 0 ; 4301300130001... ; 173 ; 4222... ;418333...;  EMBED Equation.3  ;  EMBED Equation.3  ;  EMBED Equation.3  ; EMBED Equation.3  ;  EMBED Equation.3  ;  EMBED Equation.3  ;  EMBED Equation.3  ; -3 ;  EMBED Equation.3  ; 3010010001...; 34349287648... ;;  2. Redondea y trunca las siguientes expresiones decimales al entero ms prximo, a las dcimas, a las centsimas, a las milsimas y a las diezmilsimas: 34574139.....; 1365476278...:  EMBED Equation.3  3. Redondea a las decenas, centenas, unidades de mil y unidades de milln al nmero 901259628. 4. Redondea y trunca: a) 12658742 a las milsimas. b) 59067 a las dcimas. c) 13642 a las centsimas. Calcula el error absoluto que has cometido en cada caso y determina en cul de estas aproximaciones es mayor el error relativo. 5. Escribe en notacin cientfica estos nmeros: a) 5 ; b) 67 ; c) 221 ; d) 72000 ; e) 37500000 ; f) 08 ; g) 056 ; h) 000054; i) un milln doscientos mil ; j) 530 milln ; k) 000000000272 ; l) tres diezmilsimas ; m) mil millones ; n) mil decenas ; o) 5854 millones p) 1350000000000000000000 ; q) 8600000 ; r) una millonsima ; s) mil centenas; t) un trilln ; u) un billn. 6. Escribe con todas sus cifras los siguientes nmeros dados en notacin cientfica: a) 21510-4 ; b) 321101 ; c) 314161011 ; d) 20510-1 ; e) -23109 ; f) 123410-2 ; g) 5100 ; h) -1310-2 ; i) 1210-11 ; j) 72310-3 ; k) 15810-4 ; l) 31310-12 ; m) 6051012 7. Efecta las siguientes operaciones, dando el resultado en notacin cientfica : a) 324102 + 4104 - 11106 b) 32410-2 + 410-4 - 1110-6 c) 523108 + 303109 - 251107 d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  8. Halla, dando el resultado en notacin cientfica con tres cifras significativas: a) b)   9. Efecta, sin desarrollar, utilizando sus propiedades, las siguientes operaciones con potencias: a) 22325 ; b) 74537254 ; c) 35:33 = ; d) (7425): ( 7224) = ; e) (25)4 = f) (35)2 ; g)  EMBED Equation.3  ; h)  EMBED Equation.3  ; i) EMBED Equation.3  ; j) EMBED Equation.3  k)  EMBED Equation.3  l)  EMBED Equation.3  m) EMBED Equation.3  10. Calcula las siguientes expresiones: a) (-2)4 b) (-2)5 c) (-2)3(-2)1(-2)0 d) (-4)4(-4)3 e) (-4)-3 f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  i) EMBED Equation.3  11. a) Expresa como potencia las siguientes races:  EMBED Equation.3 =  EMBED Equation.3 =  EMBED Equation.3 = b) Expresa como raz las siguientes potencias:  EMBED Equation.3 =  EMBED Equation.3 =  EMBED Equation.3 = 12. Extrae factores en las siguientes races: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  13. Introduce los factores en la raz: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  14. Efecta las siguientes operaciones: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  15. Calcula estas races:  EMBED Equation.3 =  EMBED Equation.3 =  EMBED Equation.3  =  EMBED Equation.3 = 16. Racionaliza: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e) EMBED Equation.3  17. Realiza las operaciones con valores absolutos indicados a continuacin: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  18. a) Escribe en forma de intervalo y representa: i) EMBED Equation.3  ii) EMBED Equation.3  iii) EMBED Equation.3  iv) EMBED Equation.3  v)  EMBED Equation.3  vi) EMBED Equation.3  vii) EMBED Equation.3  b) Escribe en forma de desigualdad y representa: i)  EMBED Equation.3  ii) EMBED Equation.3  iii)  EMBED Equation.3  iv) EMBED Equation.3  v)  EMBED Equation.3  19. Escribe el intervalo correspondiente a: a) Los nmeros reales comprendidos entre 3 y 7, ambos incluidos. b) Los nmeros reales mayores que -2 y menores o iguales que 5. c) Los nmeros reales menores que -7. d) Los nmeros reales menores que 7 y mayores que 2. e) Los nmeros reales menores o iguales que -7. 20. Representa en la recta real : -2,  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3 ,  EMBED Equation.3  21. Expresa en forma fraccionaria los siguientes decimales: a) 605 b) 144111... c) 9666... d) 1287 e) 00133... f) 477..... g) 81013 h) 00101. i) 00111 j) 16777. K)179 l) 3025025 m) 3025 n) 302525 o)302555 p)509999 22. Opera y expresa como una fraccin: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  c)  EMBED Equation.3  23. Calcula: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  i)  EMBED Equation.3  j)  EMBED Equation.3  24. Calcula: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  25. Expresa en notacin cientfica: a) 1.555.000= b) 00001555= c) 32 milsimas = d) 32 billones = e) 44.430.000.000.000.000 = f) 000000000000025 = g) 578.270.000.000.000.000.000.000= h) 00000025 = i) 18 cienmilsimas = j) 1.23467 = 26. Escribe con todas sus cifras: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  i)  EMBED Equation.3  j)  EMBED Equation.3  27. Calcula y expresa el resultado en notacin cientfica: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  i)  EMBED Equation.3  28. Expresa como un solo radical: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  e)  EMBED Equation.3  f)  EMBED Equation.3  g)  EMBED Equation.3  h)  EMBED Equation.3  29.- Un taller con 5 mquinas laminadoras fabrica 650 m2 de chapa al da. Cuntos metros cuadrados fabricar cada da si adquiere dos mquinas ms? 30.- En una antigua ferretera se vendan chinchetas a razn de 150 la docena. Cuntas chinchetas se podrn adquirir con 1 ? 31.- En una granja, 120 vacas consumen un vagn de pienso en 120 das. Cunto durar el vagn si la poblacin de la granja se reduce a 90 vacas? 32.- Mientras un listn de 099 m de longitud proyecta una sombra de 065 m, la torre de la iglesia proyecta una sombra de 585 m. Cul es la altura de la torre? 33.- Calcula los siguientes porcentajes. a) El 5% de 5800 b) El 120% de 800 c) El 16% de 3540 d) El 250% de 840000 e) El 70% de 340000 f) El 2% de 1500000 34.- En un encuentro deportivo se rene a 750 atletas, el 30% de los participantes son americanos, el 18% asiticos, el 16% africanos, y el resto europeos. Cuntos atletas europeos participan en el encuentro? 35.- Cul es el nmero de invitados que asisten a un banquete de boda, sabiendo que hay 33 varones y que el 45% de los asistentes son mujeres? 36.- En las elecciones municipales de cierta aldea ha votado el 62% de los vecinos. Si el nmero de votos emitidos ha sido 217, cul era el nmero de ciudadanos con derecho a voto? 37.- Calcula en cuanto se transforman las siguientes cantidades si se varan segn el porcentaje indicado. a) 250 , si aumentan el 8%. b) 360000 personas, si aumentan el 3% c) 850 alumnas, si aumentan el 4% d) 350 si disminuyen el 8% e) 2300 , si disminuyen el 150% f) 1600 si disminuyen el 16% 38.- Con las ltimas lluvias, el contenido del pantano ha aumentado el 27% t tiene 4318 hl de agua. Cunta agua tena antes de las lluvias? 39.- He conseguido que me rebajen la nevera un 18%. Si inicialmente costaba 500 . Cunto pagar por la nevera? 40.-UU ` l m ĸsgXjF hQCJUVaJjShQCJEHUjF hQCJUVaJj hQCJEHUj F hQCJUVaJjhQCJEHUjF hQCJUVaJjhQCJEHUjF hQCJUVaJjhQCJUhQCJaJhQ5CJ\ hQCJhQ56CJ\]!STUo}~m s t I J  =>gdQ $`a$gdQ$a$gdQgdQgdQҌ      ! 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A cmo sale el litro de la mezcla si el litro de oliva cuesta 32 y el de orujo 16 ? 42.- Se han pagado 3750000 por tres parcelas de terreno de 75 ha, 4 ha y 36 ha respectivamente. Cunto ha costado cada parcela? 43.- Dos ciudades A y B, distan entre sŒÌČόЌьҌӌh]hgdr &`#$gdr ]^gdq;, ]`gdq;, 283 km. Un coche sale de A hacia B a 85 km/h y al mismo tiempo, sale otro de B hacia A a 95 km/h. Cunto tardarn en encontrarse? A que distancia de A se encuentran?     PAGE  PAGE 4 ̌͌ΌόҌӌ hQhQhr hr0Jjhr0JUhr0JmHnHu21h:pr. A!"#$% Dd hhJ  C A? "2uqȫF?zQD0`!IqȫF?z@@||x]JAƿrw#IqZS$`B-@X $9§*o rtof6ڒSb"RuF.l{:{8Be`D^L$췘 q=|=JvR>_Qa?,96²s*![+!3_~XZgRFe$Igq aђ7 a}[/s}[_'v="h3$|2M38ƣ¦髉2(lO{}J/OWS@Dd lxlJ  C A? "2[_E|1c fzŚ[7W0`!/_E|1c fzŚ[vRxcdd``$d@9`,&FF(`Ts A?dmbAәzjx|K2B* Rj8 :@u!f0109Y@#ȝATN`gbM-VK-WMN.10@dejT 3\Pr}6b;oF&&\A g!u;v :\GDd hJ  C A? "2vS=t^?P0`!}vS=t^?r`@:|KxڝJQ̍?لd "Eh# HFX!f>`eFsBֹ?Y0h]=3{' U5#b"45j]\3UU-c6×|(Q"P SIi!PǼT?v蕓e/rZc3oKh8ы@lmtS|qZ=>o]Da/8 oF7j_}ɒDZJ-m{ ݺ[ 1㮃b0@}DDd @lJ  C A? 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