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Races''$ ?Nmero de races( @#Exponentes enteros y fraccionarios $$( A#Potencias de exponente fraccionario$$( Redondeo 4-Aproximaciones y errores. Notacin cientfica..$ /0$%IJKLMN O P Q R STUVWXYZ(  0` ̙33` ` ff3333f` 333MMM` f` f` 3>?" dd@,|?" dd@   " @ ` n?" dd@   @@``PR    @ ` ` p>> TL(    6T P  k7Haga clic para modificar el estilo de ttulo del patrn8 8/  0x   kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  0 `  X*  0 `T    Z*  0l `x  Z*H  0@޽h ? ̙33 *Diseo predeterminado0 `#( X h    04      P*    0l@  K  R*  d  c $ ?D /  0D =  kHaga clic para modificar el estilo de texto del patrn Segundo nivel Tercer nivel Cuarto nivel Quinto nivel7    l  6DJ     P*    6  K  R*  H  0彖޽h ? ̙3380___PPT10.n`M] 0(p(    04*B    B `*     0PA  ` B b*     6?    B `*     6<  ` @ b*   H  0彖޽h ? ̙3380___PPT10.nA]m 0N0 ^V0bt(  I tpz @P bt  ,$D 0Z2 `t s *3@P at TW?RBatangBjz @p@ _t P,$D 0Z2 ]t s *|@p@~ ^t NW?QBatangP@p  t s *,$D 0 N Los nmeros reales 2(vz 0  \t p,$D 0`2 Zt 00  [t TW?ZBatang  @ pz ` P  Yt  ,$D 0Z2 Wt s *` P  Xt TWf?NBatang B t s *@޽h ? ̙33___PPT10w+BmiD#' = @B D' = @BA?%,( < +O%,( < +D' =%(%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*Yt%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*YtD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*YtD' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\t%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\tD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\tD' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*_t%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*_tD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*_tD' =%( D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*bt%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*btD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*btD%' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*t%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*tD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*tD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*tD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*t+8+0+t0 +0#0   @ K (   x  c $_ Tp  Q  H`_ж_ж33?D=,$D0 AConjunto de los nmeros naturales: N = {0, 1, 2, 3, 4, ........} HBZ" I0  # I`,$D 02    `_ж_ж33djJ?= B 0r   Nli_ж_ж?yI rAl considerar para cada a N un nuevo nmero,  a, al que llamamos opuesto de a, ampliamos N a Z. Esto equivale a exigir que la ecuacin x + a = b, con a, b N tenga siempre solucin.^ZBY  Hr_ж_жff?\ ,$D0 Conjunto de los nmeros enteros: Z = {...,  3,  2,  1, 0, 1, 2, 3, 4, ........} HQZ -,  aH  #  kR,$D 02    `_ж_жfdjJ?U Z H   Nz_ж_ж? a  ~ Al exigir que la ecuacin q . x = s, con q, s Z tenga siempre solucin, ampliamos el conjunto de los nmeros enteros a los nmeros racionales.BZ-`  H_ж_жf?pdW,$D0 Conjunto de los nmeros racionales: Q = {a/b : a, b Z, b 0} dAZ#H  0@޽h ? ^WNff3___PPT10+#8D1' = @B D' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(++0+ 0 ++0+ 0 ++0+ 0 +>0 pb(  x  c $(    H_ж_ж? M,$D0 La expresin decimal de un nmero racional o es finita o es peridica Cualquier nmero cuya expresin decimal sea finita o peridica es una nmero racionalZx @xl  # x ,$D  0  s *3f3f0xP,$D 0N @l   @l ~B  ND3f>t    <3fo@` l  KPerodo: cuarto bloque.   s *3f3fYXL,$D  0   s *3333 D,$D 0   s * P,$D 0  <  # @ ,$D 0~B B NU]D> <  <To` ll  B Parte entera    0tP >,$D 0 p@q = 2 4 78 78 78 78 & & .!! 8X  # @ ,$D 0~B B NU]D33>X   <L33o8a m  [ Anteperodo     38h  #   ,$D  0~B  ND3f>p 38   <83fo a h  KPerodo: primer bloque.  Bo?8B ,$D 0 LUn nmero decimal peridico:H  0@޽h ? ^WNff3[/S/___PPT103/+qDo.' ˾= @B D*.' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B#strips(downLeft)*<3<* D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =%(D' =%(DC' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B#strips(downLeft)*<3<*D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*++0+0 ++0+0 ++0+0 +)0 $p( 5P $x $ c $ʾPn   $ 0D@@{,$D 0 lPasos: Primero. 1000q = 2478,787878& . Segundo. 10q = 24,78787878.& Tercero. 990q = 2478  24 Cuarto.m x38-3373 $ c $A ?? 8 $D 0 $ 0Hd,$D 0 tPara convertir el nmero q = 2 4787878& & . en fraccionarioH $ 0@޽h ? ^WNff3""___PPT10"+SD3"' = @B D!' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =-6B%strips(downRight)*<3<*$D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*$D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*$D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$G%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*$GD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*$GD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$G%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*$GD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*$GD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*$D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*$D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*$D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*$D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*$%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*$Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*$D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*$Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*$+p+0+$0 ++0+$0 +zU0 (B(  (x ( c $`  A ( Z|_ж_ж??0l$,$D0 AEntre dos nmeros racionales existen infinitos nmeros racionalesBZBxB ( Z_ж_жD3)?HI,$D 0 y (# y,$D 0B ( Z_ж_жDffԔ? ( T_ж_жz ff?y lqo4Z  y  (# ,$D 0B  ( Z_ж_жDfԔ?  ( T_ж_жz f?y Rq14Z E   y  (#  y,$D 0B  ( Z_ж_жDԔ?  # ( T_ж_жz ?  y  (qo + q1)/2N Z    ( ZZ$_ж_жz ? n ,$0 7=Z  ( T)_ж_жz ? ,$0 Rq24Z E   y (# y,$D  0B ( Z_ж_жDԔ?  # ( T0_ж_жz ?  y  (qo + q2)/2N Z    ( ZZ47_ж_жz ?r> ,$ 0 7=Z  ( T<_ж_жz ? ,$ 0 Rq34Z ?   (# @A ,$D  0B ( T_ж_жDfԔ?UU # ( TB_ж_жz f?    (qo + q3)/2N Z    ( ZZI_ж_жz ?j 6 ,$ 0 7=Z  ( TN_ж_жz ?  ,$0 Rq44Z  ( ZS_ж_ж?? yp ,$D 0 Aunque qo y q1 estn muy prximos este procedimiento se puede seguir indefinidamente. Por ello se dice que los nmeros racionales son densos NZ  l ( H\_ж_ж? t,$D 0  Los nmeros decimales que no son racionales se llaman irracionales: son nmeros decimales que no se pueden expresar en forma de fraccin ZH ( 0@޽h ? ^WNff3p=h=___PPT10H=+S}D4;' = @B D:' = @BA?%,( < +O%,( < +DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-s6Bwipe(left)*<3<*(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*(D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*(D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*(D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* (%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* (D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* (D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* (D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* (D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* (%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<* (D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* (D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<* (D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<* (DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*(D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*(D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*(D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*(D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*(D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*(D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-s6Bwipe(left)*<3<*(D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*(%(D' =-s6Bwipe(left)*<3<*(++0+(0 ++0+(0 ++0+(0 ++0+(0 ++0+(0 ++0+(0 ++0+(0 ++0+(0 ++0+(0 +Ձ0 &..IJ,-(  ,x , c $gJ;  d  N ,# 0h,$D0f , 6?NSNf , 633? ` , c $A ??H ( M ,# 9 ,$D 0N H~   , M2N  N  , Hf  , 6?NSNf  , 633? h  , c $A ?? ~  B ,  `Do??` 0G  ,# $ ,$D 08T  N ,# g0G f , 6?NSNf , 633? B ,  `Do??dB , TDo? ,$D 0 0  ,#  ,$D 0 , c 0e0e    BCPDE F @  o 8c8c     ?A)BCD|E||P@0 ~B , NDo?p   , H o?V+>  p2b2 = a2L   G  0  ,# x 0a ,$D  02N  N , ) 0 f , 6?NSNf , 633? B , TDo? @  , H o? p J  q 2b2 = 4k2L    , (L  ,# , L` ,$D0VN P ppP   , , (L x !, Ho? pP x ", H3fo?P p  #, H| o?@    a 2 divide a a 8  P pH  $,#  P p ,$D  0t P pH  %, P pH ,$D 0VN P ppP  &, P h pH x ', Ho? pP x (, H3fo?P p B ), TDo?0 0  *, H o?I N  Da = 2k" P p` +,# l P pL,$D0VN P ppP  ,, P p`x -, Ho? pP x ., H3fo?P p  /, H  o?  V 2 divide a b.   0 0,# ,$D0 0 1,# 0,$D0x 2, Hfo?`x 3, Ho?0Qh 4, c $A ??4x|     5,#   ,$D 0    6,   ,$D 0x 7, Ho?TX B 8, TD)?@@x 9, H1?  B :,  `D)?L L  ;, N)?  I Imposible$  \  <,#  ,$D0\T 0 =,# x >, Hfo?`x ?, Ho?0Qh @, c $A ??hh  A, s 0e0e    BCDEF @  o 8c8c     ?A)BCD|E|| @ P ,$D  0  0 B,#  0,$D  0N  0s C,  02N  N D,  0sf E, 6?NSNf F, 633?  G, H| o? 2 ob2 =2k2L  B H, TDo?   I, c $A ??  8 $D 0 J, s 0e0e    BCDEF @  o 8c8c     ?A)BCD|E|| @\  (,$D  0H , 0@޽h ? ^WNff3WSOS___PPT10/S+9DS' = @B DR' = @BA?%,( < +O%,( < +D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*I,%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*I,D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*I,D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*I,D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*I,D' =%(D' =%(DM' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-6B-randombar(horizontal)*<3<*,D' =%(D' =%(DM' =4@BBB B%(D' =1:Bvisible*o3>+B#style.visibility<*0,%(D' =-6B-randombar(horizontal)*<3<*0,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*,D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =-s6Bwipe(down)*<3<*,D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*$,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*$,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*$,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*$,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*$,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*A,%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*A,D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*A,D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*A,D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*A,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*B,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*B,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*B,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*B,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*B,D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*J,%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*J,D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*J,D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*J,D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*J,D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*+,%(D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*,%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*,D#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*,D' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*,D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*<,%(Dp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*5,%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*5,D' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*5,D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*5,D' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*5,+q?0 0 (  0x 0 c $\  ~ 0 Zl_ж_ж??lQ,$D 0 b Los nmeros irracionales tienen una expresin decimal no peridica e infinita Los nmeros irracionales junto a los racionales forman los nmeros reales: se escribe R = Q I 4Zxn  0 c $\  `,$D 0  Ejemplos El nmero p con 1000 cifras decimales 3,14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651328230664709384460955058223172535940812848111745028410270193852110555964462294895493038196442881097566593344612847564823378678316527120190914564856692346034861045432664821339360726024914127372458700660631558817488152092096282925409171536436789259036001133053054882046652138414695194151160943305727036575959195309218611738193261179310511854807446237996274956735188575272489122793818301194912983367336244065664308602139494639522473719070217986094370277053921717629317675238467481846766940513200056812714526356082778577134275778960917363717872146844090122495343014654958537105079227968925892354201995611212902196086403441815981362977477130996051870721134999999837297804995105973173281609631859502445945534690830264252230825334468503526193118817101000313783875288658753320838142061717766914730359825349042875546873115956286388235378759375195778185778053217122680661300192787661119590921642. Un nmero decimal de expresin no peridica. 2,020020002000020000020000002000000020000000020000000002& ... 'nP.P=P 3 /< ,,H 0 0@޽h ? ^WNff300___PPT100+#DI0' = @B D0' = @BA?%,( < +O%,( < +D' =%(D' =%(DR' =A@BBB%B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0%(D' =-6B%barn(outVertical)*<3<*0D' =%(D' =%(DR' =A@BBB%B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0O%(D' =-6B%barn(outVertical)*<3<*0OD' =%(D' =%(DR' =A@BBB%B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0O%(D' =-6B%barn(outVertical)*<3<*0OD' =%(DA' =%(D' =A@BBB$B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0 %(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*0 Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*0 D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*0 Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*0 D' =%(DA' =%(D' =A@BBB$B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0 0%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*0 0Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*0 0D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*0 0Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*0 0D' =%(DA' =%(D' =A@BBB$B0B%(D' =1:Bvisible*o3>+B#style.visibility<*00%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*00Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*00D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*00Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*00D' =%(DA' =%(D' =A@BBB$B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0F%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*0FDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*0FD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*0FDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*0FD' =%(DA' =%(D' =A@BBB$B0B%(D' =1:Bvisible*o3>+B#style.visibility<*0F%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*0FDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*0FD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*0FDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*0F+p+0+00 ++0+00 +Z 0 {-.L(  L~ L s *   04 L#  \ ,$D 0B L ZD)?0   L T)?V4 :1 u.3   L#  Y,$D 0B L ZD)?ppB  L ZD)?  0   L Th)?n M R  A0$f 04  L#  5 ,$D 0B  L ZD)?0    L T )?V4 :1 u.3 04 L#   3 ,$D 0B L ZD)?0   L T\)?V4 :1 u.3 04 L#  |1 ,$D  0B L ZD)?0   L T)?V4 :1 u.3 04 L#  d1 ,$D  0B L ZD)?0   L T4)?W4 :1 u.3 Qd  L#  Q),$D  0B L ZD)?0  L T)? Qd  D 3$fB L ZD)?  ,$D  0B L ZD)? jj ,$D  0 04 L#  23 ,$D 0B L ZD)?0   L Tx")?V4 :1 u.3 2   L#  2 Y,$D 0B  L ZD)?  0  !L T')?2 M   A1$f 04 "L#  P9 ,$D 0B #L ZD)?0   $L T4-)?V4 :1 u.3B %L ZD)? @@ ,$D 0 04 &L#  9 ,$D 0B 'L ZD)?0   (L T2)?V4 :1 u.3B )L ZD)?  ,$D 0# < p  *L#  < 5,$D 0B +L ZD)?0 ,$D 0 ,L Td7)?<) p  A4$f -L 0ƳA ??4 r8 $D 0 .L 0ƳA ??a 8 $f3D 0H L 0@޽h ? ^WNff3www___PPT10Ww+D;w' = @B Dv' = @BA?%,( < +O%,( < +D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*L%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*LDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*LDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD' =%(Dl' =%(D' =4@BBBB%(E' =1B B`BPB1:Bhidden*3>+B#style.visibility= `B<*.LD' =1:Bvisible*o3>+B#style.visibility<*.L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*.LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*.LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*.LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*.LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*-L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*-LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*-LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*-LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*-LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* L%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* LD' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =-6B%strips(downRight)*<3<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*L%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*%LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*%LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*%LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*%LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*"L%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*"LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*"LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*"LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*"LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*)L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*)LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*)LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<*)LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*)LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*&L%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*&LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*&LD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*&LD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*&LD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<**L%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<**LD#' =+4 8?nCB!#ppt_y-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<**LD' =+4 8?\CB#ppt_wBCB#ppt_wB*Y3>B ppt_w<**LD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<**L+J 0 vn)*P(  P  ~ P#  ~,$D 0B P ZD)? 0 P T[)?M~ D1 u.$f P Z_)?^,$D 0 95/5f~ P s *a )  B P  `DԔ?  (,$D 0B  P  `DԔ? ,$D 0B  P  `DԔ?(| 4,$D 0B  P  `DԔ? 0 (,$D 0B  P  `DԔ? H,$D 0 04  P# M ,$D 0B P ZD)?0   P Tf)?\4 X1 l.8333B P ZD)?@p,$D 0B P ZD)? @ ,$D 0 P Tm)?i,$D 0 AO$f 04 P# O& m ,$D 0B P ZDD[?0   P TrD[?[4 X1 l.8333B P ZD)? D\ ,$D 0 04 P# O  ,$D  0B P ZDD[?0   P T yD[?[4 X1 l.8333B P ZD)?h D ,$D  0 04 P# O: h ,$D  0B P ZDD[?0   P TD[?[4 X1 l.8333B P ZD)? r ,$D  0 04 P# OD ,$D  0B  P ZDD[?0   !P T\D[?[4 X1 l.8333B "P ZD)?t ,$D 0 04 #P# O< ,$D 0B $P ZDD[?0   %P T،D[?[4 X1 l.8333B &P ZD)?P t,$D 0 'P Z)?|,$D 0 91/5f (P Z,)?| ,$D 0 92/5f )P ZЎ)?| R,$D 0 93/5f *P Z)?|r,$D 0 94/5fH P 0@޽h ? ^WNff3|t___PPT10T+/kbD' = @B D' = @BA?%,( < +O%,( < +D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<* P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<* PDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<* PD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<* PDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* PD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*PD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*PD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*PD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-6B%strips(downRight)*<3<*PD' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-6B%strips(downRight)*<3<*PD' =%(D' =%(DA' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D' =-}6B!strips(upRight)*<3<*PD' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*PDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*PDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*PD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*PD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*PD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*PD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*PDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*PDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*PD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*PD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*PD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*PD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*PDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*PDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*PD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*P%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*PD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*PD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*PD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*PDc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*PD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*PDk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*PD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*"P%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*"PD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*"PD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*"PD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*"PD' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*#P%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*#PDc' =++4 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X TD o? + 6 1  LP X LP,$D 0  P  X  P,$D 02  X T̙o? P  X T o?^ 5R(   4  X ) Lk,$D 0B  X ZD>?t  4  X T! o?  5RN >  X > B X ZDo?   X T& o?>  30N  r X  rB X ZDo?   X T+ o? r 31N *  X * B X ZDo?t t  X T1 o?*  32T  @ X# DkB X ZDo?   X TP6 o? @ 51/2T  + X# ? SB X ZDo?   X T; o? + 6 2  3  X#   3 ,$D 0T  + X#  3 B  X ZDo?   !X TXA o? + 6 1T  + "X#  / B #X ZDo?   $X T= o? + 6 2[  P@ %X# P@,$D 09 P  &X# P ,$D 02 'X ZJo?P  @  (X Z|No?   5Q(   4 )X  @_,$D 0B *X ZD>?t  4  +X TI o?  5QN >  ,X > B -X ZDo?   .X TV o?>  30N  r /X  rB 0X ZDo?   1X TZ o? r 31N *  2X * B 3X ZDo?t t  4X TY o?*  32T  * 5X# BV_B 6X ZDo?   7X Thc o? * 6 1T  + 8X# K __B 9X ZDo?   :X T,^ o? + 6 2  @ ;X# |XW,$D 0B X# k,$D 0T >  ?X# kB @X ZDo?   AX Tp o?>  32 BX c R0e0e    BCDEF @  jJ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||\,T @L  44 CX# 44,$D 0$  44 DX 44,$D 0 44 EX 44,$D 02 FX Z?t  4 ,$D  0 >  IX# >  ,$D  0B JX ZDo?   KX T{ o?>  30  r LX#  r ,$D  0B MX ZDo?   NX T o? r 31 *  OX# *  ,$D  0B PX ZDo?t t  QX T< o?*  32 RX T$ o?X6  ,$D 0 5Z( SX TT o?  ,$D  0 5Z  @h 4 TX# h @4,$D 0- @h | UX @h |,$D 02 VX Z̙o?@h | @  WX T0 o? jd  5N(   4 XX  4,$D 0B YX ZD>?t  4  ZX T o?  5NN >  [X > B \X ZDo?   ]X T o?>  30N  r ^X  rB _X ZDo?   `X T o? r 31N *  aX * B bX ZDo?t t  cX TD o?*  32H X 0@޽h ? ^WNff3..___PPT10j.+r*AlDN.' = @B D .' = @BA?%,( < +O%,( < +Dp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*TX%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*TXD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*TXD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*TXD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*TXDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*CX%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*CXD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*CXD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*CXD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*CXDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*XD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*XD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*XD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*XDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%X%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*%XD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*%XD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*%XD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*%XDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*;X%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*;XD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*;XD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*;XD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*;XDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*X%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*XD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*XD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*XD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*XDp' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*>X%(D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*>XD' =+4 8?RCBBCB#ppt_hB*Y3>B ppt_h<*>XD' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*>XD' =+4 8?RCB?BCB#ppt_yB*Y3>B ppt_y<*>X+E 0 \T \(  \~ \ s *S   z \  fo?bV,$ 0 ` Intervalo abierto: (a, b) = {r R / a < x < b}41 2 B \ # lDo?,$D 0* W \# W,$D 0 \  fho?  3a(2 \  fo?W 3b(2  -  \#  -,$D 02  \ T33o?  ,$D 02  \ T33o?-,$D 0B  \ # lD33)? ,$D 0n }  \# },$D 0* \  f o?},$ 0 X&Los extremos no pertenecen al conjunto'(2' \  0e0e    BpCDE F3 o 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||hp@  \  0e0e    B(C(DE F3 o 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||((p@(Pp \  f0o?1 aZQ ,$ 0 ` Intervalo cerrado: [a, b] = {r R / a x b}*1 2 B \ # lDo?  ,$D 0 X O  \# X P ,$D  02 \  `33o?8 X  \  fTo?  3a(22 \  `33o?\   \  fo?{ O  3b(2B \ # lD33)?     \#  V,$D  0* \  f|o?x,$  0 X&Los extremos s pertenecen al conjunto'(2' \  0e0e    BpCDE F3 o 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||hp@  ,$D  0 \  0e0e    B(C(DE F3 o 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||((p@  ,$D  0H \ 0@޽h ? ^WNff3&&___PPT10&+UD&' = @B D%' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*\1%(D' =-o6Bbox(out)*<3<*\1Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*\D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*\Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* \%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* \D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* \D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*\1%(D' =-o6Bbox(out)*<3<*\1Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*\D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*\Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*\%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*\D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*\+p+0+\0 ++0+\0 +A0 0`}(  `~ ` s * S    `  fDo?b",$ 0 ~ Intervalo abierto por la derecha: [a, b) = {r R / a x < b}*@ 2" B ` # lDo?,$D 0 W `# W,$D 0 `  fo?  3a(2 `  f o?W 3b(22  `  `o?  ,$D 02  ` To?-,$D 0B  ` # lD)? ,$D 0  `  fo?1 awQ ,$ 0  Intervalo abierto por la izquierda: (a, b] = {r R / a < x b}*B 2$ B  ` # lDo?  ,$D 0 \ O  `# \ P ,$D 0 `  f(o?  3a(2 `  fXo?{ O  3b(2 G \   ` G \  ,$D 02 `  `o?\  B `  fD)?  ,$D 02 `  `o?G a   `# ,$D 0> `  fo?,$ 0 l:El extremo izquierdo pertenece al conjunto; el derecho no.;(2; `  0e0e    BCDE F Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||@@*  `  0e0e    BCDE F Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'p?A)BCD|E||@a_  A `#  A,$D  0? `  f$o?xA,$ 0 m=El extremo izquierdo no pertenece al conjunto: el derecho s.> 2> `  0e0e    B|CDE F Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||,|@  `  0e0e    BCDE F Ԕ 8c8c     ?1 d0u0@Ty2 NP'p<'pA)BCD|E||@O H ` 0@޽h ? ^WNff3v"n"___PPT10N"+:kD!' 0= @B D}!' = @BA?%,( < +O%,( < +D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<*`@%(D' =-o6Bbox(out)*<3<*`@Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*`D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*`Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*`D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*`Dv' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =+4 8?dCB1+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*`D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*`D' =%(D' =%(D@' =A@BBB B0B%(D' =1:Bvisible*o3>+B#style.visibility<* `B%(D' =-o6Bbox(out)*<3<* `BDn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* `%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* `D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* `Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*`D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*`Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*`%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*`D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*`+p+0+`0 ++0+ `0 +]0 `l|(  l~ l s *Pl#Y   l c $A ??LX8 $D0E l T f ? z ,$D 0 ISignificado geomtrico del valor absoluto de la diferencia de dos nmerosJJ dd l TP ?0,$D  0 Longitud del segmento AB =distancia entre los puntos A y B = |b  a| = |a  b|PP    l# | ,$D 0B l ZD ?,$D0N -   l - B  l Z_ж_жDo?  l T_ж_жz ?-  7OZB  l Z_ж_жD33)?  ,$D0 75   l# # 5,$D 0~N 75  l 75 B l ZD ?] l Th ?75~ 7Af l T ?E  7afB l Z_ж_жDԔ? 79  l# # 9,$D 0~N 79  l 79 B l ZD ?] l T' ?7~ 7Bf l T, ?U9  7bfB l Z_ж_жDԔ?|}0 l <x0 o? ob ,$D 0 Propiedades del valor absoluto | a | 0 | a | = |  a | | a .b | = | a | . | b | | a + b | | a | + | b |nSn33H l 0@޽h ? ^WNff3KK___PPT10~K+&DJ' 3= @B DuJ' = @BA?%,( < +O%,( < +D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*lD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*lD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*l*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*l*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*l*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*l*D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l*;%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*l*;D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*l*;D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*l*;D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*l*;D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l;V%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*l;VD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*l;VD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*l;VD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*l;VD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*lVr%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lVrD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lVrD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*lVrD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*lVrD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*lJ%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lJD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lJD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*lD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*lD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* l%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* lD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* lD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* lD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*lD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*lD4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* l%(D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*l%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*lD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*lD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*l++0+l0 ++0+l0 ++0+l0 +[50 0 ( p |x ( P |x | c $Q T)  G | H 0, se llama a elevado a la n-sima potencia al producto de a consigo mismo n veces.hZh  P |#  ,$D 0r | Z_ж_жHS+z o?  | TY_ж_жz ?y i\P @ n factores Z  | TQ_ж_жz ?=H,$0 an = a . a . ..... . aZf      | S ~h_ж_жGHIh[JfKLM`Nz jJ? ,$D 0 >baseZ0  | S ~]_ж_жGqHIJfK0L MNz fjJ?p,$D 0 Npotencia o exponenteZf  | s *A 2?? 8\ 8 2$D 0  | s *A 3??X [P 8 3$D 0#  | S ~|p_ж_жGHRzI[JKiLYM;NUz jJ?L,$D  0 AradicalZ% | S ~ u_ж_жGH9I1JK!LM{&Nz fjJ?,$D 0 C radicando Z fH | 0@޽h ?O@ | | || ^WNff3((___PPT10(+IgD?'' = @B D&' = @BA?%,( < +O%,( < +D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*|D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*|D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*|D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*|DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =%(D' =%(D7' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-s6Bwipe(left)*<3<*|D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-s6Bwipe(left)*<3<* |D' =%(D' =%(DF' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-u6Bwipe(right)*<3<* |D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* |D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* |D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* |D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* |D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<* |%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<* |Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<* |D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<* |Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<* |D' =%(D' =%(DT' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*|%(D' =-6B'checkerboard(down)*<3<*|D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* |%(D' =-6B%strips(downRight)*<3<* |+P+0+|0 ++0+|0 ++0+ |0 ++0+ |0 ++0+ |0 ++0+|0 +.0    ( bP x  c $}n    s *A 4??At8 4$D 0   # hM ,$D 0B   `_ж_жDfԔ? B   `_ж_жDfԔ?    T_ж_жf?  - ,$D 0 8 parZ  T8_ж_жf? t ,$D 0 : imparZ    #   ,$D 0B   `_ж_жD|Ԕ? B    `_ж_жD|Ԕ?    H_ж_ж3?PH~7,$D  0 Ea > 0: dos racesZ  Hd_ж_ж3?` |~G ,$D  0 Ea < 0: sin racesZ  T_ж_ж? 9 ,$D 0 Mn: ndice del radicandoZ  H_ж_ж3? t`4 ,$D  0 b.cualquiera que sea a, hay exactamente una raz/Z/B   `_ж_жD|Ԕ?x x ,$D 0H  0@޽h ? ^WNff3C";"___PPT10"+D ' = @B Dj ' = @BA?%,( < +O%,( < +Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =+4 8?\CB#ppt_xBCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?dCB0-#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B%strips(downRight)*<3<* D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DE' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B%strips(downRight)*<3<* D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-6B%strips(downRight)*<3<* D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*D' =%(D' =%(DR' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B%strips(downRight)*<3<*+P+0+0 ++0+ 0 ++0+ 0 ++0+0 ++0+0 ++0+0 +XN0 (  x  c $J    0?z,$D 0 V&Producto de potencias de la misma base''  0h?c ] ,$D 0 V&Cociente de potencias de la misma base''  0?F @ ,$D 0 DPotencia de potencia  0?) #,$D  0 Y)Producto de potencias del mismo exponente**  0? ,$D  0 Y)Cociente de potencias del mismo exponente**  H o?q4k,$D 0 am . an = am+nt6  H$ o?B !< ,$D 0 am / an = am-nt6|  H o?9 3 ,$D  0  (am)n = am.nt ,x  H,  o?8 |2,$D  0 am . bm = (a.b)mt$ l  H8 o?x,$D  0 am / bm = (a / b)mf $   H_ж_ж?,$D 0 c-Se mantienen las propiedades de las potencias.Z.  s *A 5??8 5$D 0H  0@޽h ? ^WNff3>>___PPT10>+jQD=<' %= @B D;' = @BA?%,( < +O%,( < +D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-s6Bwipe(left)*<3<*D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DN' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-}6B!strips(upRight)*<3<* D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DN' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-}6B!strips(upRight)*<3<* D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DN' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-}6B!strips(upRight)*<3<* D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DN' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-}6B!strips(upRight)*<3<* D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =%(D' =%(DN' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-}6B!strips(upRight)*<3<* +h+0+0 ++0+0 ++0+0 ++0+0 ++0+0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+ 0 ++0+0 +R0 ,(   x  c $$%    s *A 6??<8 6$D 0F  TJ_ж_жz ?M,$0 XLas propiedades de las races son un caso particular de las propiedades de las potenciasYZY  c $A 7?D48 7$D 0H  0@޽h ? ^WNff3^V___PPT106+D ' T= @B D ' = @BA?%,( < +O%,( < +D' =%(D4' =%(D' =4@BBB$B%(D' =1:Bvisible*o3>+B#style.visibility<*%(Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_wBCB#ppt_wB*Y3>B ppt_w<*Dc' =++4 8?CBa(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_hBCB#ppt_hB*Y3>B ppt_h<*D' =+4 8?RCB?BCB#ppt_xB*Y3>B ppt_x<*Dk' =+34 8?CBi1+(6*min(max(#ppt_w*#ppt_h,.3),1)-7.4)/-.7*#ppt_h/2BCB#ppt_yB*Y3>B ppt_y<*DA' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*Y%(D' =%(D' =%(DG' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-6B'barn(inHorizontal)*<3<*+8+0+0 +G0 aY4(  4x 4 c $VP_Y  F 4 Zz_ж_ж?f?=; $,$D 0 ,Para redondear 2 + p a tres cifras decimales2-Zx  4 H_ж_жf?,$D 0 `2 + p = 5,14......2Z  4 HD_ж_ж?Z (A ,$D 0 _2 + p = 5,1415...2Z ! 4 H4_ж_ж? ,$D  0 u'2 + p = 5,142 con tres cifras decimales2(Z#$  [ 4#  [,$D 0  4 N_ж_жf?`[ vB1. Se escriben la parte entera y las dos primeras cifras decimalesCZCB  4  `_ж_жDԔ?Xt tE    4#  ,$D 0  4 HH_ж_жff?`  [2. Antes de escribir la tercera cifra decimal del redondea, se mira la cuarta cifra decimal\Z\xB  4  `_ж_жDԔ?d  L    4#   ,$D 0$ 4 HD_ж_ж? `  b3. Si la cuarta cifra decimal es menor o igual que 4, se toma como tercera cifra decimal la actualcZcxB 4  `_ж_жDԔ?X  n 2 o 4# 2 o,$D  0F 4 H_ж_ж?2 `o j Si la cuarta cifra decimal es mayor o igual que 5, se toma como tercera cifra decimal la actual ms unokZkixB 4  `_ж_жDԔ?d44X 4 Hl_ж_ж? +|,$D 0 vCuando se toma la aproximacin ms cercana a un nmero irracional, con un nmero decimal, se dice que se ha redondeadowZwH 4 0@޽h ? ^WNff3'77___PPT106+D5' = @B D5' = @BA?%,( < +O%,( < +D' =%(D' =%(DD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-s6Bwipe(left)*<3<*4D' =%(D' =%(DR' =A@BBB%B0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D' =-6B%barn(outVertical)*<3<*4D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* 4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* 4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* 4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* 4D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4D' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*4%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*4D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*4D' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*4D' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*4++0+40 ++0+40 ++0+40 ++0+40 ++0+40 +M0 aY  p(  pj p H_ж_жz ?@ ,$D 0 Notacin cientfica Todo nmero decimal se puede expresar en la forma a . 10 k, donde  10 < a < 10 y k Z. k es el orden de magnitud del nmero Las cifras de a se llaman cifras significativas El nmero de cifras significativas con que se expresa un nmero indican el grado de precisin con que se conoce, es decir, el error absoluto que se puede cometer ZXZZ5   l8x~ p s *t   c p# 4,$D 0 p Hȷ_ж_ж?c qSe llama error absoluto al valor absoluto de la diferencia entre el valor real x de un nmero y su valor estimado x. Se designa por D = | x - x | Casi nunca se conoce exactamente el error: slo se debe aspirar a acotarlojZ mQv p T_ж_ж ?U 7^Z p Th_ж_ж ?   7^Zm !   p# pP ,$D 0  p T_ж_жz ?9!  (Se escribe x = x DBZ  p T8_ж_жz ?R 7^Zn  p Hp_ж_жz ?tl,$D 0 De aqu se puede deducir que el error absoluto de una suma o diferencia es menor o igual que la suma de los errores absolutos de los trminos Z  p H\_ж_ж?no ,$D 0  El error relativo es d = D / | x | No se puede conocer su valor: como antes slo se debe aspirar a acotarlo Se suele expresar en %jZjH p 0@޽h ? ^WNff35>->___PPT10 >+DDI=' = @B D=' = @BA?%,( < +O%,( < +D' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*pD' =%(DH' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* pD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* pD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<* p%(D#' =+4 8?nCB!#ppt_x+#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<* pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<* pD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*pD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pl%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*plD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*plD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*plD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*plD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*pl%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*plD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*plD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*plD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*plD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*p%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*pD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*pD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*pD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*pD' =%(DU' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*ph%(D#' =+4 8?nCB!#ppt_x-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*phD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*phD' =+4 8?RCBBCB#ppt_wB*Y3>B ppt_w<*phD' =+4 8?\CB#ppt_hBCB#ppt_hB*Y3>B ppt_h<*ph++0+p0 ++0+ p0 ++0+ p0 +@0 P(  X  C g  H  0彖޽h ? ̙330 P (  X  C D    S ܾ=   " H  0彖޽h ? ̙33 0 (  X  C D    S h[=    H  0彖޽h ? ̙3380___PPT10.nN] 0 (  X  C D    S =    H  0彖޽h ? ̙3380___PPT10.n``] 0 (  X  C D    S L=    H  0彖޽h ? ̙3380___PPT10.na] 0 (  X  C D    S =    H  0彖޽h ? ̙3380___PPT10.n i] 0 (  X  C D    S #=    H  0彖޽h ? ̙3380___PPT10.no]  0 (  X  C D    S ,W=    H  0彖޽h ? ̙3380___PPT10.nN] 0 (  X  C D    S =    H  0彖޽h ? ̙3380___PPT10.n] 0 (  X  C D    S l=    H  0彖޽h ? ̙3380___PPT10.n`] 0  (  X  C D    S =    H  0彖޽h ? ̙3380___PPT10.n:] 0 0(  X  C D    S 4=    H  0彖޽h ? ̙3380___PPT10.n`$] 0 @(  X  C D    S :=    H  0彖޽h ? ̙3380___PPT10.n\] 0 p(  X  C D    S $%=    H  0彖޽h ? ̙3380___PPT10.n] 0 (  X  C D    S P=    H  0彖޽h ? ̙3380___PPT10.nP] 0 (  X  C D    S x=    H  0彖޽h ? ̙3380___PPT10.n] 0 (  X  C D    S TF=    H  0彖޽h ? ̙3380___PPT10.n`Y] 0 (  X  C D    S ]=    H  0彖޽h ? ̙3380___PPT10.n@|] 0  (   X   C D     S `=    H   0彖޽h ? ̙3380___PPT10.n] 0 @(  X  C D  -  S  -=  -  H  0彖޽h ? ̙3380___PPT10.n] Tx\klT>skc صImkyLLTxM0JC VJ$%mUCGUGD[*5jV H͏"G4~gf]k[P7Vܹ3gΜ9ʯ^y5r!2i&4I"HdT*e'<|Xa B-tRP/GXUA+րjAu/As׀AkAMu:{oBO1 : D5,e,3dz?J#t|W,, ek&㣉щp<FGE[-tسH5 꺟(#~`o ι\>ekma52gJ)SRE%NJQiBc!Ը[MCѱ3=cOǣ#1S%el}UFn] hk/T)r,):Hv4ԫ..*+s!2F Aif̑X,(,龙('Z\'12%"x%(}s%%!)t!A}G٘:8'e<,97l~ha$^wٕaz> J؁ jRup0 -%"ݚ0>0[f̀я~NO~uuFWSk_*SE,%Ex%bKbBB3ڦ55ƊwV&&jS% V^u~1"mw<7݆80#jQimrv,yʓT|Dʜ$JnAIelt hv~&`,FyZ@1VYcoǤ{[aR'!ͩ"r0Yjlo17˝<$0F?(WEv@ jw4f-'cu-"e?&6&iLcvD߮:e j^{b{M筐 i6 Xj?f-GܧgZR!MRٶ&.CJ?7t:y׭6Q۫:kM3LtM6!\T*)c' Q7|Xi&>n){So46)i \e*g˜Ff8)-'qD[eϘ>[HL9%6)0ʨe%yy`]=ڴQYsC%"l sDŽv &^<)ysU3yC qG[8RJ̠JSaјO\谊ֻϝ{g.Lۡ9ng N 4p\LpS7]y)Nmn6m>bӯ#V~>p'~ԯQUZ?r첅T/md *y}Y \aVW#0Rۖ:Pw |^'/.q dvbwGU&vOAN~rށ)ܗ-7:n~Fv.M.}~kn{%҂VB`;X-w>ٜem+%,u+<,}jAuz*P+  o!'*MyH~`@Ju+uK4o9R {oto2͏ mX˿_>"?C <)R䟐M1R"ufM1$ԛWNB3u u> gcX"z-=x:9ё-]NˑyN4u;t( ۠3njl;) ^#Syߏ_& zKe|8-:})n`@A;A5)Ԅ+`ɓ:~ijYgv~pgxV_G, r?m .} fܵ&zUP~|.3͹:փsG#&[u1 !8Ir*Lu7llAxH ڢE!G%ZK *?TP%$**U!H,hT^sf־^gǤΝsgΜ93sܻ?F9KZߕ D_d2>1d!cABP+OT @&O%M*P5h3<߂p+( T 3-PIEM Lљܥ$_H~ߝ E6'@KHkl[IF[v`^=\YyJze8ԋ>GS:%2(4Wh8(k 9A/1-=pϲ>S3Fo/@PWG~^[Gd"Ye}"/3~7؇̖ ؅qfy_݊vS٥P9E,kJrۏ%ʚO;b.aBۨ)GDo-JWJt8T>.2T\f8J>ZcYGc'P+gRzbN7@jZgogDs6xtW$j8EW H?!gG1OCͳ\xv(b++zPRO-jQdgo+K}.~eSS4*X`-9yFk%3g7CZa"AWL SBWve<\aS~.aWϱlYꮼ>,Y&PtFC8J_FxD!]ϧ;)vz/OXO`x4?R/#o1w2!xA2eeeqHAݦD>Yd8vȓz"L2ѽVXqrFzQGykC"1ޏkl#qQ<M~~+Ga@$9.9mAxŎc\o]q9X.'VS,֊il`f0`ϝRa -s&gBnHfn>udl~ҘG% 6؜afyl@NC8LjlՔc`Ds ~ }=kȏ(6p^mmӶӿINs"o$K!>9|r~`~`%Jڂ(+,C&Srxk8} =,^^ii0lWT3l+> x7'qb~i~#YgIѫ'oFJ{Q='~ǞGҞ_LL{MJ4-o N3TDo(597Aɥi}}SNې4#H|f%>!}+wx~ۗORnn \lERw񏚴OY{ƳĞ~'(uBh5: .Ě#u>j6ׄkqp?ÊLx[olGg|>;&q8nIc;r%s;iSWNEh}N [H :PA*ѢFQ?DE%!$#JrmX̛73ofޛ{_i *~i1[F~OrI!l6KOP;L>y {*@ՠ(TCF&P=h3}VP  >78F)f0}40M ;|Ks%W޼.ȶ?qhbUuz"Ky۳rnN4Jck!y tH}+)ye1:kh?_t̻O( c}^L*649NK T(lxk.kzgoD3XؙCObG)w*~#XXFFjeq(9(uzof_E3XSyOY^i: |F:?\ij]8-V)^w9'QvZlgTd7Q8SAo J6ў v{omzΖaݝ@ b0Lμ(QY9`%h80NAC b='zI2a>: 2΍9C/b[0zc}~Ӯ8a a)Pҷ>8AG@56L3c4kMY-; ]a:Oq}u+s)W˵YcoxEo6y`QH}5%Pm;PiCUTd"sZ%dVM(5|N?vQufL ĜVGLMjyZjzZ4nAwOb.hڿ3l?jīӅ/3+\kR-lBxJal8 /lZC˿HNs$4vfH1PEmA),ːV5çv%K^ rr↹C0,[ V}0+ mN'ʈS\"eeuz+7wY^0|){Nnxq/WPkE?qUk}QuN|xcXG7TLN+ո{{ ޢ!9on?󛓄^1?{֗Hk!WI뤿'ҞbLiω_ѥW;Aa_Hp?Zzo rřGD:yc:64T>9ߵIS ߩ׹t9cMVtP7Num;' J7N!n2^U6Jb]{K#/~?#W>;wiOϒ>"oC2+zCM3_%SF[9gty/҅>HP ۅ["5Wj bx~fv*_ï8N4:N+"Ʈ66*(EJH<*?ԀPPH8RD|]n6MS u3w̙33gfΙ{ڟ_E5Ah)SB>WrH"8KL&1{rg AP TDRUA5Z'O6A[A w FPyn%XQa/Dy<_яk銲rϱ~)N7JɣYmZ'ae~^mkjp^t<1 Ng3d*&CE oo3h@5vR'gpXx?֧V(H,6M)-/uzg^E+XSyOcw ]x+ߧ8WV;IK#uWE MHJf ˩yi-?p@{|6c=6uDZӇu7bnU~cI%DJz2VC?8 4h#6+_d\t2p^d<%)b+Ls>^8*ܷc=ܖ=z>]t SW H?&`0fkVmlf$5}ll8't>=3;8ռy{eͲCIn "DYX ZDHh&涵yaSgs [үO%%׏E#pPBꫨ)Do;-:W*t(+S*&j %CIctR'gFzrOB9jZڥGGEsv"ݕ> ;cWH?A}VkͳVx)b~? 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