' ( ) * + , - . / 0 D ; < 2 = 7 * + * 7 * . 3 * 8 - , - + 43 4B - > = + , * ? 2 * @ - C E ; < 2 = 7 * + * 7 * . 3 * 8 - , - + 43 4B - > = + A 8 0 . / * C F ; < 2 = 7 * + * 7 * . 3 * 8 - . * A 0 3 4B - > = + , * ? 2 * @ - C G ; < 2 = 7 * + * 7 * . 3 * 8 - . * A 0 3 4B - > = + A 8 0 . / * C + 4 N . 46 0 > * . 3 * ( 6 0 / 0 70 + ) ( 2 . 0 ) D ; (− 3)2 × (− 3)3 × (− 3)1001 E ; (− 3)5 × (− 3)0 × (− 3)23 × (− 1)1 F ; (2 G ; O 7 6 - . 1 2 . 3 - ) −1 . N > * 8 - T ; U - / - ; W Z ; O 7 - , 2 * + 3 - [ ; O 7 8 * 6 4, 8 - 6 - : \ ; H H H 7A 2 . - + U - / - * + / * * + * . 3 * 8 - 70 ; c 0 / 4 5 * 8 * . 6 40 G ; c 0 + 2 > 0 > 0 Q - 8 V ; c 0 8 0 S g 0 5 48 > 0 6 4- . * + 7- + d Q / * / * X 4Y . / * * 8 - * + * + * + ; O 7 7- A 0 8 43 > 7- A 0 8 43 > H i : ; ; - J 0 7+ 0 > + 2 > 0 a Q / * ? 2 * - K * 8 / 0 / * 8 0 L - * . * . X 0 + * O . 6 2 * . 3 8 * Q X 0 + * ` R / * * 7 B 0 7- 8 / * P e * 6 0 / 0 70 + 2 . - / * ; O 7 - , 2 * + 3 - F ; c 0 / 4 5 * 8 * . 6 40 T ; c 0 6 2 0 8 3 0 Z ; O 7 7- A 0 8 43 > : \ 7 ; Q O 7 + 4A 2 4* . 3 * + / * 7- + 70 + 2 > 0 / * d Q , - 3 * . 6 40 - * . X 0 + * 6 - 6 4* . 3 * 6 N X 46 0 / * / * 70 > : ;n < 2 = 7 * + * 7 B 0 7- 8 / * 7 , 2 . 3 - ? 2 * * + 3 = - 6 o - : ;p < 2 = 7 * + * 7 B 0 7- 8 / * 7 , 2 . 3 - ? 2 * * + 3 = 0 7 > E ; O 7 - , 2 * + 3 - / * 7 - , 2 * + 3 - G ; O 7 - , 2 * + 3 - / * 7 8 * 6 4, 8 - 6 - D ; O 7 - , 2 * + 3 - / * F ; O 7 - , 2 * + 3 - / * 7 - , 2 * + 3 - ! −5 / * −7 * + 3 = * . −4 * / 40 2 . 4/ 0 / * + - / * b L * . 3 8 * 6 N X 46 0 / * _ f Q 70 9 2 . 4/ 0 / 4+ > _ b L , 8 - , - + 46 4- . * + 9 * + 3 = l Q / * 7 6 - 6 4* . 3 * 8 0 S g ? 2 * * 7 , 2 . 3 - a * . 2 . 6 40 / - + 9 f L / * 7 , 2 . 3 - Q . N > * 8 - - f L b * 7 B 0 7- 8 −1 4+ > 7 - , 2 * + 3 - / * < 2 = 7 * + * . / * * ;m * + 3 = > + 4A 2 4* . 3 * + : k / * 7 b L 8 0 S g , 0 8 0 / * 7 8 * 6 4, 8 - 6 - . 0 3 2 8 0 7L P R ` L . 2 > Y 8 46 - . N > * 8 - L * 7 D h L > 0 + ? 2 * 4 * 7 , 2 . 3 - 2 + 3 4 5 4? 2 * . * A 0 3 4B - + j M B 0 6 S- L 8 * , 8 * + * . 3 0 e L P e * + 0 Q - 8 . N > * 8 - 2 . _ ` L / * R 4A 2 0 7 0 7 - , 2 * + 3 - ` L 70 Q * . 3 * 8 - + . * A 0 3 4B . N > 2 . P h [ * + - , 2 * + 3 - 0 8 43 > Y 3 46 0 6 2 0 / 8 0 / - + 6 2 0 / 8 0 / 0 + 2 * . 3 8 * 3 0 > . * A 0 3 4B - * ] , 8 * + 4^ . / * ? 2 * + - . . N > * 8 - . - / * 7 - , 2 * + 3 - / * . * A 0 3 4B - + C , - + 43 4 B - * . 3 * 8 - + . 0 3 2 8 0 7* + 6 2 0 7? 2 4* 8 . N > * 8 - E . * A 0 3 4B - L / * 7 - , 2 * + 3 - O 7 - , 2 * + 3 - . * A 0 3 4B - L 8 * 0 7 * + : ; . - + 4A 2 4* . 3 * + * + . N > * 8 - + 7- + . N > * 8 - + O + 6 8 4X 0 ; =4 / * V * . 3 * 8 - + 70 + ÷ 3 −9 5 2 − 2 3 ( − 1)15 − 32 + 2− 1 7- + / * J 0 7+ 0 + L : ; −1 / * 8 * + , 2 * + 3 0 9 * 7 I . / 4? 2 * , * ? 2 * @ - < 2 = 7 * + ; = + 70 : ; H H > 1 2 + 3 45 46 0 . / - 0 70 0 . N > * 8 - " # $ C:\Precalculo 2003-2\Material Adicional -Talleres\PRIMER TERCIO\Taller reales_recta numérica.doc 4g ? 2 4* 8 / 0 / * k C / * 8 * 6 o 0 / * l C / * k 70 / * 2 . 4/ 0 / * + / * ? 2 * / * l C q L / * R % & # % ' ( : 7 ) * + , - ./ + 0 - 0 ) ; / + , 3 , C 7 D , .3 J 7 K O 7 ) * 0 / 2 , 3 4 0 : P 1 , * 0 / 2 , 3 4 0 < , 3 > , < @ E 0 + 0 - 4 @ G 0 , 3 ) * - 0 < S 2 < 4 0 > 1 , H 7 K < @ V W X Y Y Z[ \ 7 K < @ V W X Y Y Z[ \ M 7 ) * 3 .B < 0 O 7 b @ g 7 h 0 1 0 \ i _ 6 7 h 0 1 0 ] ^ Y Z_ j 7 K < @ W X k [ \ l 7 K < @ e W f e 7 o @ + @ / 0 + *@ 3 , 3 ^ W f , 3 6 *@ 3 3 L / 4 .> , 3 F 2 , 7 ) * + , - ./ + 0 - 0 3 .B 2 ., < 4 , 3 0 9 > @ E 0 + H 7 I M 7 N 0 3 1 , * 0 / 2 , 3 4 0 1 , 8 9 / + 0 / 0 3 .- .0 < , 3 9 , < 0 3 , * 0 / 2 , 3 4 0 1 , * + , - ./ + 0 - 0 4 + , - , , 3 1 , , 3 > @ E 0 + > , < 0 3 > , < 0 + 0 F 2 , .B 2 @ * F 2 , - , + 0 9 - , + 0 2 < 0 9 @ R .+ > @ - .0 < , 3 9 , < 4 , + 0 3 , 3 2 < 3 2 ? - 0 < S 2 < 4 0 1 , U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U X ` Y ^ W f , 3 @ F 2 , * *@ 1 , 2 < @ , < W X Y Zf \ X ` X ` 2 < 1 0 3 @ < 4 , 3 f W < 2 , G , 9 < T > , + 0 3 ] ^ Y Z _ e 5 3 .B 2 . , < 4 , 3 *0 3 > , < 0 3 ] Z c Zd Z [ \ F 2 , > , < 0 3 > @ 4 , > A 4 .- 0 3 > , < 0 3 , < 0 + 1 , J ? 0 *0 3 F 2 , Q 0 > / *, 4 @ + 7 C 7 C n 3 = > 1 , *0 3 , 3 - 2 E 0 R + @ - - .a < + , @ *, 3 4 @ > .< @ 1 0 + @ R , - 4 @ , 3 2 < U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U ? .L < 9 U U U U U U U U U U U U / , + 4 , < , - , e ^ W Z [ ] ZY f 1 , < 0 > @ * - 0 < S 2 < 4 0 1 , *0 3 U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U f W Y Z [ \ , 3 , < - 0 < 4 + @ + , * U U U U U U U U U U U U U U U U U U U , < 4 + , 8 p q 1 , 2 < < T > , + 0 3 , 1 , ? , > 1 0 3 + @ m 0 < , 3 9 2 *4 ./ * . - @ + , * < T > , + 0 / 0 + *@ R + @ - - .a < U U U U a , * 1 , - .> @ * U U U U U U ) * / 0 + - , < 4 @ S , C C 7 C H 7 b @ 3 C J 7 o @ + @ C M 7 ) * C O 7 b 0 3 < T > , + 0 3 C g 7 b 0 3 < T > , + 0 3 C 6 7 t X Y Z f \ X `Zk X W C j 7 C l 7 G @ + .@ - .a < , 3 2 < @ - @ 3 0 / @ + 4 . - 2 *@ + 1 , *@ 3 U U U U U U U U U U U U U U E - 0 + + , 3 / 0 < 1 , @ 2 < @ U U U U U U U U U W X rY ^ d ] ^ 3 2 > @ + < T > , + 0 r\ ] ZY ^ 0 + , 3 4 @ + e X W 1 0 3 0 + , / + , 3 , < 4 @ π 3 0 *0 , 3 4 A > A 3 *@ 1 , R .< .1 @ + @ = - , 3 + , *@ - . a < *@ / @ + @ - @ < 4 .1 @ 1 , < 4 + , U U U U U U U U U U U U U 3 2 ? + @ 1 .- @ * 1 , ? , , * U U U U U U U U U U E 3 , + U U U U U U U U U U U U U U U U U U U U , < 2 < @ - . + - 2 < R , + , < - .@ 9 2 < @ ) * c^ W d f D 0 ? + , *@ _ H n 7 K H C 7 ) * Y f \ { u \ 7 `f d . + + @ - . 0 < @ *, 3 , 3 2 < Z\ u ` v Ze + , - 4 @ , ; / + , 3 @ 1 0 : P P s 3 0 < / + 0 - , 3 0 ZW W X Y Z f \ X `^ d 1 , - . > @ *, 3 / @ + @ , *.> U U U U U U U U U , *, > , < 4 0 3 , < - 0 > T < 9 U U U U U U U U U .< @ + *0 3 + @ 1 . - @ *, 3 1 , * U U U U U U U U U U U U a U U U U U U U 1 , R + @ - - .a < 9 Z\ < W X Y Z f \ X `^ d , < b @ 3 < 2 > 4 L + > 4 ., < , v^ W cX `f v f ` ZY X ] ^ ` f d 3 .B 2 ., < 4 , 3 - 0 *2 > < @ } 9 - 0 *2 > < @ 3 , B T < v Z c f 1 , L + .- @ 3 . .< 0 3 1 , 2 < X < T > , + 0 , 3 > , < 0 + + , 3 4 @ U U U U U U U U U U \ i _ ^ W f d K 3 4 , 1 *0 1 , ? , 3 , F 2 , 1 .- , w x F 2 , X w z X , < - 2 , < 4 + @ , 3 U U U U U U U U - 0 < 4 ., < , + , *@ - . 0 < @ < - 0 > / @ + @ + 1 0 3 *@ 3 @ - @ < 4 .1 @ 1 , 3 x - @ < 4 .1 @ 1 , 3 E *@ - @ < 4 .1 @ 1 1 , *@ - 0 *2 > < @ | , 3 *@ > - @ < 4 .1 @ 1 1 , *@ - 0 *2 > < @ } , 3 *@ > @ E 0 + 9 . *@ D . *@ 3 N D . *@ " # $ ! 1 0 3 + , @ * *@ > @ 1 0 *@ 4 @ > ? .L < y y y y y y y y y y U U U U U U 1 , w 9 E 2 < @ , < - 0 *0 - @ + *@ *@ - 0 *2 > < @ + , 3 / 2 , 3 4 @ | E , < 0 4 + @ *@ , < *@ 4 , + - , + @ 3 .B 2 ., < 4 , ~ . D , 3 U U U U U U U U U U U U U U U U U U U U U U U U U U U U U D } - , + 0 3 , | Q 1 , , *, > , < 4 0 3 9 W ^ X `^ d / + , B 2 < 4 @ 3 + , @ * 1 .R , + , < 4 , - @ < 4 .1 @ 1 , 3 *@ - . a < < 0 / 2 , 1 , 3 0 < 3 , + @ E 0 + 9 .B 2 @ *, 3 9 1 , 4 , + > .< @ 1 @ - 0 < C:\Precalculo 2003-2\Material Adicional -Talleres\PRIMER TERCIO\Taller reales_recta numérica.doc *@ .< R 0 + > @ - .a < 3 2 > .< .3 4 + @ 1 @ 9 % & # % ' ( 4 5 F 5 J 5 K 5 6 7 8 9 : 7 ; < ) * + , - 8 9 21 2 - ' ( ) * > < ? @A > B ? B 10 − 10 0 ,1 G 5 L - I 50% de 1000 A B > ? < Q R 7 S < O P 5 P B T 9 < ; < 7 9 : < Q R B A 7 8 7 ; < P 5 A B > ? < Q R 7 S < O P 7 < Q R < > B 8 ; < 7 > R @ ? 9 U V G E 7 E D E D B > < Q R < > B : < Q B > = T 9 < 15 7 4 F 5 0,1 0,03 10 2 4 J 5 5 15% ; < P ; < 25 % C I I I 8, 54 − 0, 54 0,02 5 4 W 5 B > P V < Z 7 ; B 7 P 7 ? 9 7 R > B : 7 < 9 P < Q R < > B 8 < Q R < > B ; < E 7 : < Q B > T 9 < 41 14 P R YA P P 7 ? 9 7 R > B A B > L I < P < Z 7 ; B 7 G ^ 4 × 9 × 624 5×4×3 7 Y? 7 ; B 624 × 9 × 8 4×3× 2 I I < Z 7 ; B 170 4 ! ; < 9 8 YZ < 128 3 7 8, 54 − 0,5454 P 4 N P ; < 8% C < ; < A 7 8 7 0,17 2,5 4 M < Q R B U V 3 1,5 0,6 5 7 9 : ; < = 4 4 5 4 K YQ ? : 7 O P 0,1× π O P ; < T 9 < Q X : < > B O P L : 7 P B H 9 8 YZ < 7+7+7 7−7−7 5 9 Q 9 Q U E ; < ; < U Q X : < > B O P 5 4 ] 0 1 3 5 O P \ / 0 1 2 * C C YQ ? [ . H I 1− 3 4 16 1 8 7 > R @ ? 9 W - C DE 105% de 500 N , = 1440 M + " # $ C:\Precalculo 2003-2\Material Adicional -Talleres\PRIMER TERCIO\Taller reales_recta numérica.doc % & # % ' ( ( ( ) > ? B ? D ? F H * + , - ./ 0 3+0 = 3 ? ? K 6 1 20 7 - 4 7 .1 6 0 6 8 9 1 1 + : ; 4 ×1 = 4 A @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ ? ? .< 0 + . 20 + 20 + 6×8 = 8×6 G + .< 9 .1 3 : 1 + .< 9 0 26 0 6 1 + = @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ 4(3 + 5 ) = 4(3 ) + 4(5 ) E @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ 1 3 4 + (6 + 2 ) = (4 + 6 ) + 2 C @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ - 1 7 - 1 + 1 3 : 0 6 0 ? (2 × 6 ) × 3 = 2 × (6 × 3 ) @ I J / - 1 ? 3 + (−3 ) = 0 7× 1 = 1 7 3 4 5 @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ 3+6 = 6+3 ? 1 2 @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ + .< 9 .1 3 : 1 + 7 - 4 7 4 + ., .4 3 1 + + 4 3 L 1 - 6 0 6 1 - 0 + 4 M 0 2+ 0 + N * + , - ./ 0 L 4 M 1 3 20 , 0 + . 2 20 N O P Q R Q S TU TV W Z 4 6 4 3 [ 5 1 - 4 1 + - 0 , .4 3 0 2 ^ 9 3 . + 4 / - 1 3 [ 5 1 - 4 6 1 2 20 ` - 1 , : 0 1 + : ; 3 [ 5 1 - 4 b { − 1 , 1 = x 4 2 X V Y O P Q R Q S TU TV W 6 1 , .5 0 2 7 1 - .\ 6 ., 4 0 3 9 5 _ - ., 0 20 c ` ] 4 + 1 2 3 a .a 8 9 .1 - 6 0 1 + 5 1 3 4 - −1≤x ≤ 1 4 2 3 [ 5 8 9 1 −2 1 - 4 + = a b } 4 22 10 - 1 0 21 + 1 + : ; 3 X V Y 4 - 6 1 3 0 6 4 + 1 −6 =1 5 2 a ÷ c = a × c con b y d ≠ 0 b d b×d 8 3 3 4 2 a = a 9 + 25 = 9 + 25 J ? K 1 : 1 - 5 .3 1 24 + d 0 24 - 1 + 8 9 1 : 4 5 0 3 A -3 2 J I ? k 1 7 - 1 + 1 3 : 0 - + 4 / - 1 20 B -1 2 - 1 , : 0 > ? ] 4 + 7 9 3 : 4 + ? ] 4 + 1 3 : 1 - 4 + ? ] 4 + - 1 0 21 + 5 0 i 4 - 1 + 4 ? ] 4 + - 1 0 21 + 5 1 3 4 - 1 + 8 9 1 l m ? ] 4 + - 1 0 21 + 5 1 3 4 - 1 + 8 9 1 q ? ] 4 + 3 [ 5 1 - 4 + 3 0 : 9 - 0 21 + ? ] 4 + 3 [ 5 1 - 4 + - 1 0 21 + ? ] 4 + 3 [ 5 1 - 4 + - 0 , . 4 3 0 21 + 4 .< 9 0 21 + 7 9 3 : 4 + 0 C e 1 f D g c h i j 1 3 20 - 1 , : 0 3 9 5 _ - ., 0 N 2 3 9 5 _ - ., 0 = 1 A = el recíproco de 5 0 i 4 - 1 + 24 + c c B = el opuesto de − 3 C = el inverso aditivo de 6 5 0 l m i 5 1 3 4 - 1 + 8 9 1 N n A B C D E F G H ? > A > D ? 0 \ i n 5 1 3 4 - 1 + 8 9 1 1 3 4 - 1 + ? {x 4 > x ≥ 0, x ∈ Z } > B ? {x > ? x ≥ −3, x ∈ Z } x<4 x > −3, x ∈ Z} ∨ ! 1 o 7 - _ + 1 24 5 0 i 4 - 1 + 5 1 3 4 - 1 + 5 i 5 0 i 4 - 1 + > r {x ? .< 9 0 21 + E 8 9 1 1 1 3 .< 9 0 21 + 8 9 1 l p 3 4 : 0 , .\ 3 8 9 1 6 1 . 3 : 1 - d 0 24 N p i 1 o 7 - _ + 1 24 1 3 3 4 : 0 , .\ 3 6 1 . 3 : 1 - d 0 24 .3 , 29 + .d 1 i 1 o 7 - _ + 1 24 1 3 3 4 : 0 , .\ 3 6 1 . 3 : 1 - d 0 24 q q 8 9 1 {x {x {x q x < 5, x ∈ Z } x<4 x < −3 x > −3, x ∈ Z} ∧ ∨ x ≥ 0, x ∈ Z } " # $ C:\Precalculo 2003-2\Material Adicional -Talleres\PRIMER TERCIO\Taller reales_recta numérica.doc > > ? {x − 3 ≤ x ≤ 7, x ∈ Z} > ? {x x < −3 ? {x x ≤ −1 ∨ C > F ∧ x ≥ 0, x ∈ Z} x ≥ 1, x ∈ Z} % & # % ' ( ) {x 1 7 − ; 5 5 , [ −5; 1) - 0 4 x ∈ R y 2 ≤ x < 9} , - . * + * , - 1 , {x , x ∈ Z y − 1 < x ≤ 6} [−8 ; 10] - - 5 5 − 3 ; 4 - 2 , (− 2 : 3] , ( 0, 2; 1,7 ) , 3 −∞ ; − 2 , 17 1,5; 3 - / - 3 * , [7 ; 7 ] , ( 13; −2 ] - 5 5 6 7 8 9 : ; : , : < ; AJ G A: < > : ; * , < = > ? @ AB < 9 : @ > ? ; C : A < > : 9 D ? E= ; : E @ = < F G < > = H G : : ; > I 9 : 8 9 : ; : < > ? C = : < @ ? C ? G < ? C : E? ; < G K L 9 A@ ? ; M Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q -6 -4 - -2 0 2 4 6 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O , O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O -6 -4 -2 0 2 4 6 P P P P P P P P P P P P P P P P P P -3 -2 / -1 0 1 2 3 4 6 O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O , -6 -4 -2 0 2 0 , O O O O O O O O O O O O O -3 -2 1 P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P P -1 Q Q Q Q Q Q Q Q Q Q Q Q 0 1 2 R R R R R R R R R R R R R 3 O O O O O O O O O O O O O O O O O O O , -3 -2 -1 0 1 2 3 2 , Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q -6 -4 -2 0 2 4 6 3 , S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S S −5 −4 −3 −2 −1 0 1 0 1 2 3 4 5 N , T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T T −5 −4 −3 −2 −1 ! U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U 2 3 4 5 U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U " # $ C:\Precalculo 2003-2\Material Adicional -Talleres\PRIMER TERCIO\Taller reales_recta numérica.doc % & # %