ZXTape! 2p$CURSOS EDUCATIVOS. MATEMATICAS (2/4)MONSERGAME (EDUCATIONAL)+D.L. M-41231-1985. TZXed by johnny farragutMATEMATICAP PBR L1:1::"":7;7;20,31;:"MODULO A"  @ _3!1 ! !<<!!?! ! <"$$$$D$$!$$3!1 ! !<<!!?! ! <"$$$$D$$!$$-!)>!!"" "" $$$$D$$!$$-!)>!!"" "" $##$$!$#!!% >?"<<"$##$$!$#!!% >?"<<"'##$##$$!$#!!?>!!#! "! ! <  ""'##'$ $$$ !!?>!!#! "! ! <  ""'##'$ $$$ '$ $$$ d&$ $$d$@$$D$$ D$$!D$ %# $$d$@$$D$$ D$$!D$ %# ## $$D$$ D$$!D$ ##%# ## 00 #!##$$$## 00 #!##$$$00 #!d&$ $$$00 d&$ $$d$@<0<0 <0<0 00 <<0<0 00 BBB00 00BBFB@DBBBB00 00BB<<<00 <999999999999999999999999999999999:::::9999999999999999999999:::99:::::9999999999999999999999:::99:::::9999999999999999999999:::9999999999999999999999999999999999::::::::::::::::::::::::::::::99::::::<<<<<<<<<<<<<<<<<<::::::99::::::<<<<<<<<<<<<<<<<<<::::::99::::::<<<<<<<<<<<<<<<<<<::::::99::::::<<<<<<<<<<<<<<<<<<::::::99:::::::::::<<<<<<<::::::::::::99:::::::::::<<<<<<<::::::::::::99:::::::::::<<<<<<<::::::::::::99::::::::::::::::::::::::::::::99::::::::::::::::::::::::::::::99::::::::::::::::::::::::::::::99::::::::::::::::::::::::::::::99::::::::::::::::::::::::::::::99::::::::::::::::::::::::::::::99::::88888888888888888888::::::99::::::::::::::::::::::::::::::9999999999999999999999999999999998888888888888888888888888888888888888888888888888888888888888888MODULO A +"Programmed by Tony Topliss." 7:0::100d i1:1:64999:6,5;"MODULO A CASI LISTO":"mat code 1":1 Z :6;1,1;"MODULO APRENDIZAJE MATEMATICAS";2,14;"1-6";7;''"1. Multiplicacion de decimales"''"2. Division de decimales"''"3. Forma standard"''"4. Usando forma standard'"''"5. Cifras significativas"''"6. Lugares decimales": dp90Z:18,0;"Cuando veas el mensaje inferior,pulsa @ para dejar el modulo. ":8990# u7:0:b$=" ":4:d$(7,16):k$(7,16):qu=0:8 ٳ90Z:.1}L,35#:16,0;;" Entra el numero del modulo con el que deseas trabajar:- (0 para finalizar.) ":q$=" ":n=0 ""986 /0:i$=:=480q$=" "8999'# @i$480Ưi$579ůi$=12 ůi$=13 990 ;.1}L,-5:2:.4L,-20:984 i$=12 984 Si$=13 n=0.1}L,-5:2:.4L,-20:984 )i$=13 qu=q$-1:998 _n=n+1:q$=q$+i$:q$>6.1}L,-5:2:.4L,-20:984 P.1}L,35#:17,27;8;1;7;q$:986 Hq$<1.1}L,-5:2:.4L,-20:984 qu=qu+1 r=0::.1}L,35#:6;0,10 ;"MATEMATICAS";2;7;0,0;"Modulo ";qu:6000p+qu:a,qi1,qi2,qi3,qi4,qi5,qi6,qi7,qi8,qi9,qi10,qi11,qi12,qi13,qi14,qi15,qi16,qi17,qi18,qi19:20:.1}L,35#:17,0;3;7;1;" Deseas repasar antes de respon-der las preguntas? Pulsa S/N. ":6100+20*qu:20 E.1}L,35#:65001,11 :65000:65040 ^n=1a:n=qi1n=qi2n=qi3n=qi4n=qi5n=qi6n=qi7n=qi8n=qi96100+n+20*qu .1}L,35#:65001,12 :65000:65040:12 ,0;"PREGUNTAS";12 ,16;"AYUDAS" 7000X+20*qu+n:vval,g$,u$,x,y,nlsq:l=1nlsq:d$(l):12 +l,0;d$(l):l::l=1(g$+u$+*2):y,x+l-1;"*";:l:1100L an=qi10n=qi11n=qi12n=qi13n=qi14n=qi15n=qi16n=qi17n=qi18n=qi196101+n+20*qu Jn:2000:8990#:65001,22:65000:984  1000 L5ph=0:hh=0:bb=0:hint=0:i Q:hint120,0;"PRUEBA DE NUEVO " Sn0,9 ;"da la respuesta: ";h$:v$="":u$""1,0;"entra unidades de respuesta: ";v$ V<a$=h$:h$>g$Ʊh$>(16-x)a$=h$(116-x) X20,0;" ";y,x;5;b$(1̱g$+u$+1);1;7;y,x;a$;v$:h$+v$=g$+u$1138r Zvval=01160 \&vct=0:h$=01180 ^1l=1̱h$:h$(l)=46.vct=vct+1 `]h$(l)<480Ưh$(l)46.Ưh$(l)43+Ưh$(l)45-ůh$(l)>5791180 b=h$(l)43+Ưh$(l)45-Ưh$(l)46.1130j dl=h$1180 e=h$(l+1)>47/Ưh$(l+1)<58:1130j gl=h$-11180 h=h$(l+2)=43+ůh$(l+2)=45-1180 jl:vct>11180 kh$=g$v$=u$1138r lh$ɰg$1180 m 1165 r20,1;2;6;1;1;"CORRECTO";:" ":l=14:.1}L,34":.1}L,30:l:20:8990#:1150~ t 1160 ~hh=0r=r+1  1195 h$g$1180 8v$u$20,1;0;7;1;"UNIDADES!":.1}L,-5:2:.4L,-20:hint=hint+1:8990#::l=1nlsq:5;0;12 +l,0;d$(l):l:l=1(g$+u$+(*2)):y,x+l-1;"*":l:hint=2hh=hh+1:1200  hint=1:hh6ph=0 il=120:.01z# =,35#:.01z# =,25:l:m=1j:k$(m):hh=im=jbb=1 &bb;12 +ph+m,16;k$(m):m  ph=ph+j *20,7;5;" ": 65001,22:65000:5,0;" En este modulo conseguiste:- respuestas correctas sin ayudas.";9 ,0;" Si necesitas consejo, trabaja con las siguientes secciones de CURSOS EDUCATIVOS MONSER. " "a=0r=1:a=12 ұ9 ;6,10 ;r;" sobre ";a:r/a.8L3,11 ;"MUY BIEN":j=15:.1}L,16:.1}L,24:.1}L,20:j 2000+10 *qu: ;13 ,0;"Ejemplos 1.9(a),(b),(c), pagina 14.": 613 ,0;"Ejemplos 1.9(d),(e),pagina 14.": /13 ,0;"Forma standard pag. 18.": :13 ,0;"Ejercicio forma standard 1c,pag.19": 615,0;"Cifras significativas pag. 25.":  315,0;"Pag. 26 y ejercicio 2b (2).":  q 5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 r 5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 s 5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 t 10 ,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 u 15,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 v10 ,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 Z1,3;6;"MULTIPLICACION DE DECIMALES":.1}L,35#:85015!: T1,5;6;"DIVISION DE DECIMALES":.1}L,35#:8521I!: M1,9 ;6;"FORMA STANDARD":.1}L,35#:8541]!: %_1,0;6;"USANDO NUMEROS EN FORMA STANDARD":.1}L,35#:8581!: 9T1,5;6;"CIFRAS SIGNIFICATIVAS":.1}L,35#:8561q!: MP1,9 ;6;"LUGARES DECIMALES":.1}L,35#:8601!: m1,"0.28","",10 ,14,2,"a. 0,4X0,7=","",2,5,"0,4X0,7="," (4X7=28)","Cuenta los digi-","tos luego de la","coma (usa punto).",1," =0,28" n1,"0.048","",10 ,14,2,"b.0,4X0,12=","",2,5,"0,4X0,12="," (4X12=48)","Cuenta los digi-","tos luego de la","coma (usa punto).",1," =0,048" o1,"0.036","",10 ,14,2,"c.0,4X0,09=","",2,5,"0,4X0,09="," (4X9=36)","Cuenta los digi-","tos luego de la","coma (usa punto).",1," =0,036" p1,"0.06","",10 ,14,2,"d.0,4X0,15=","",3,5,"0,4X0,15="," (4X15=60)","Cuenta los digi-","tos luego de la","coma (usa punto).",5," 0,4X0,15=0,060","Cuenta el ultimo","digito pero no","lo escribas.","",1," =0,06" q1,"0.036","",10 ,15,3,"e."," 0,45X0,08=","",3,5,"0,45X0,08="," (45X8=360)","Cuenta los digi-","tos luego de la","coma (usa punto).",5,"0,45X0,08=0.0360","Cuenta el ultimo","digito pero no","lo escribas.","",1," =0,036" w1,"1.75","",8,13 ,2,"a. ="," 0.4",2,2," ="," 0.4 4",1," =1,75" 1,"144","",10 ,13 ,2,"b. _="," 0.005",2,2," _="," 0.005 5",1," =144" 1,"32.8","",9 ,13 ,2,"c. ="," 0.025",2,2," _="," 0.025 25",1," =32.8" |1,"40","",9 ,13 ,2,"d. _="," 0.03",2,2," _="," 0.03 3",1," =40" 1,"0.035","",10 ,13 ,2,"e. ="," 0.7",2,2," ="," 0.7 7",1," =0.035" 0,"5","",14,13 ,2,"a.","123000=1.23X10",3,4," 1","123000=12300X10"," 2"," =1230X10",4," 3","123000=123X10"," 4"," =12.3X10",4," 5"," =1.23X10",""," Resp= 5" 0,"7","",10 ,14,3,"b. 45000000",""," =4.5X10",2,5,"La coma ","se mueve 7","lugares a la","izqda","45000000 a 4.5",5,"","Luego:-"," 7","45000000=4.5X10"," Resp= 7" 0,"-6","",9 ,14,3,"c. 0.0000067",""," =6.7X10",2,5,"La coma se","mueve 6","lugares a la","derecha","0.0000067 a 6.7",5,"","Luego:-","0.0000067 -6"," =6.7X10"," Res.= -6" 0,"-3","",10 ,14,3,"d. 0.00809",""," =8.09X10",2,5,"La coma se","mueve 3","lugares a la","derecha","0.00809 a 8.09",5,"","Luego:-","0.00809 -3"," =8.09X10"," Res= -3" 0,"-5","",9 ,14,3,"e. 0.0000102",""," =1.02X10",2,6,"La coma se","mueve 5","lugares a la","derecha","0.0000102"," a 1.02",6,"","Luego:-","0.0000102 -5"," =1.02X10",""," Res= -5" 0,"3.5","",2,16,5,"a. 3 -5","(5X10 )X(7X10 )"," *"," = X10"," ^^^ 1 respuesta",2,4,"5X7=35 Esta tu","punto decimal en","el lugar correc","to?",1," Resp= 3.5" 0,"-1","",8,15,4,"a. 3 -5","(5X10 )X(7X10 )",""," =3.5X10",1,5," 3 -5","(5X10 )X(7X10 )"," -2 -1","=35X10 =3.5X10"," Resp= -1" 0,"8","",8,15,4,"b. 5 2","(6X10 )X(8X10 )",""," =4.8X10",1,5," 5 2","(6X10 )X(8X10 )"," 7 8","=48X10 =4.8X10"," Resp= 8" 0,"8","",8,15,4,"b. 5 2","(6X10 )X(8X10 )",""," =4.8X10",1,5," 5 2","(6X10 )X(8X10 )"," 7 8","=48X10 =4.8X10"," Resp= 8" 0,"1.2","",2,16,4,"c. 3 -1","(4X10 )X(3X10 )"," *"," = X10",2,4,"3X4=12 Esta tu","punto decimal en","el lugar","correcto?",1," Resp= 1.2" 0,"3","",8,15,4,"c. 3 -1","(4X10 )X(3X10 )",""," =1.2X10",1,5," 3 -1","(4X10 )X(3X10 )"," 2 3","=12X10 =1.2X10"," Resp= 3" 0,"7.5","",2,16,4,"d. 2 5","(3X10 )(4X10 )"," *"," = X10",2,4,"34=0.75 Esta tu","punto decimal en","el lugar","correcto?",1," Resp= 7.5" 0,"-4","",8,15,4,"d. 2 5","(3X10 )(4X10 )",""," =7.5X10",1,6," 2 5","(3X10 )(4X10 )"," -3","=0.75X10 -4"," =7.5X10"," Resp= -4" 0,"3.75","",2,16,4,"e. -3 -7","(3X10 )(8X10 )"," *"," = X10",2,4,"38=0.375","Esta tu punto","decimal en el","lugar correcto?",1," Resp= 3.75" 0,"3","",9 ,15,4,"e. -3 -7","(3X10 )(8X10 )",""," =3.75X10",1,6," -3 -7","(3X10 )(8X10 )"," 4","=0.375X10 3"," =3.75X10"," Resp= 3" 0,"1360","",5,14,2,"a.","1357= con 3cf",2,1,"Examina 4 cf.",2,"1357"," =1360 " 0,"1400","",5,14,2,"b.","1357= con 2cf",2,1,"Examina el 3cf.",2,"1357"," =1400" 0,"1000","",5,14,2,"c.","1357= con 1cf",2,1,"Examina 2 cf.",2,"1357"," =1000 " 1,"0.0975","",3,15,3,"d.","0.09753"," = con 3cf",2,2,"Examina 4cf.","ej. 3",2,"0.09753"," =0.0975 " 1,"0.098","",3,15,3,"e.","0.09753"," = con 2cf",2,2,"Examina 3cf.","dec.Ej. 5",2,"0.09753"," =0.098 " ‘1,"0.1","",3,15,3,"f.","0.09753"," = con 1cf",2,2,"Examina 2cf.","ej. 7",2,"0.09753"," =0.1 " Ç0,"10310","",3,15,3,"g.","10305"," = con 4cf",2,1,"El 5 es 5.",2,"10305"," =10310 " q0,"10300","",3,15,3,"h.","10305"," = con 3cf",1,2,"10305"," =10300 " r0,"10000","",3,15,3,"i.","10305"," = con 2cf",1,2," 10305"," =10000 " {1,"0.02041","",2,15,3,"j.","0.020406"," = con 4cf",1,2," 0.020406"," =0.02041" z1,"0.0204","",3,15,3,"k.","0.020406"," = con 3cf",1,2," 0.020406"," =0.0204 " x1,"0.020","",3,15,3,"l.","0.020406"," = con 2cf",1,2," 0.020406"," =0.020 " v1,"0.02","",3,15,3,"m.","0.020406"," = con 1cf",1,2," 0.020406"," =0.02 " v0,"901000","",3,15,3,"n.","900705"," = con 3cf",1,2," 900705"," =901000 " x1,"0.010","",3,15,3,"o.","0.010203"," = con 2cf",1,2," 0.010203"," =0.010 " Ѫ0,"1.358","",9 ,14,3,"a."," 1.3579="," con 3 dec.",2,3,"El digito en el","4 lugar es 9.","1.3579",1,"=1.358 con 3 dec" ҩ0,"1.36","",9 ,14,3,"b."," 1.3579="," con 2 dec.",2,3,"El digito en el","lugar 3 es 7.","1.3579",1,"=1.36 con 2 dec." Ө0,"1.4","",9 ,14,3,"c."," 1.3579="," con 1 dec.",2,3,"El digito en el ","2 lugar es 5.","1.3579",1,"=1.4 con 1 dec." Ԭ1,"0.0247","",9 ,14,3,"d."," 0.02468="," con 4 dec.",2,3,"El digito en el","5 lugar es 8.","0.02468",1,"=0.0247 con 4dec" ը1,"0.025","",9 ,14,3,"e."," 0.02468="," con 3 dec.",2,3,"El digito en 4","lugar es 6.","0.02468",1,"=0.025 con 3 dec" ֪1,"0.02","",9 ,14,3,"f."," 0.02468="," con 2 dec.",2,3,"El digito en el","3 lugar es 4.","0.02468",1,"=0.02 con 2 dec." ׃0,"5.432","",9 ,14,3,"g."," 5.4321="," con 3 dec.",1,3,"","5.4321","=5.432 con 3 dec." ؁0,"5.43","",9 ,14,3,"h."," 5.4321="," con 2 dec.",1,3,"","5.4321","=5.43 con 2 dec." 0,"5.4","",9 ,14,3,"i."," 5.4321="," con 1 dec.",1,3,"","5.4321","=5.4 con 1 dec." 0,"0.0","",9 ,14,3,"j."," 0.0499="," con 1 dec.",1,3,"","0.0499","=0.0 con 1 dec." !5""85015! !6!5:0:="N"Ŧ="n" !7"S"Ʀ"s"85015! !8D65001,22:65000:30:.5,35#:2,0;"ej.1":502:.1}L,35#:3,4;"0,4X0,06=":8990#:3,13 ;"_X__=";4,13 ;"10 100":8990#:3,20;"__=";4,20;"1000":8990#:3,25;"0,024" !98990#:3,6;"4";3,10 ;"06":5,0;" Hay 1 + 2 digitos detras de la coma en la pregunta.":8990#:8,0;" Por tanto, debe haber 3 digitosdetras de la coma en la respues-ta.":3,27;"024":8990# !:A12 ,0;"ej.2";12 ,6;"0,4X0,03=":8990#:12 ,19;"12":8990#:12 ,8;"4";12 ,12 ;"03":8990#:12 ,20;"2":8990#:12 ,19;"1":8990#:12 ,18;"0":8990#:12 ,16;"0," !;M8990#:13 ,0;"ej.3";13 ,6;"0,7X0,05=":8990#:13 ,19;"35":8990#:13 ,8;"7";13 ,12 ;"05":8990#:13 ,20;"5":8990#:13 ,19;"3":8990#:13 ,18;"0":8990#:13 ,16;"0," !<14,0;"ej.4";14,6;"0,07X0,005=":8990#:14,23;"35":8990#:14,8;"07";14,13 ;"005":8990#:14,24;"5":8990#:14,23;"3":8990#:14,22;"0":8990#:14,21;"0":8990#:14,20;"0":8990#:14,18;"0," !=M8990#:15,0;"ej.5";15,6;"0,4X0,05=":8990#:15,19;"20":8990#:15,8;"4";15,12 ;"05":8990#:15,20;"0":8990#:15,19;"2":8990#:15,18;"0":8990#:15,16;"0," !>8990#:16,20;"^"'"AVISO! Debe contar este cero fi-nal aunque generalmente no se pone.":200:i=120:15,20;" ":.05|L,10 :15,20;"0":i:15,20;" ";16,20;" " !?8990#:8995## !@""8512@! !A+5:0:="S"Ŧ="s"85048! !B"N"Ʀ"n"8512@! !FO65001,13 :65000:11 ,0;" NO USE CALCULADORA": !I""8521I! !J!5:0:="N"Ŧ="n" !K"S"Ʀ"s"8521I! !M65001,22:65000:30:.5,35#:2,0;"ej.1":502:.1}L,35#:3,4;"0.040.008=":8990#:3,15;"_=";4,15;"0.008" !NW8990#:3,21;"_X";4,21;"0.008X1000":8990# !O5,0;"eligiendo 1000 de forma que el denominador se convierta en un numero entero.":8990#:65001,19:65000 !P?5,0;"=_X";6,1;"0.008X1000":8990#:5,1;" _X ";6,1;" 0.08X100 ":8990#:5,2;" _X ";6,2;" 0.8X10 ":8990#:5,4;"= ";6,3;" 8 ":8990#:5,8;"5":8990# !QR7,0;"ej.2";7,8;"_=";8,8;"0.05":8990#:7,13 ;"_X";8,13 ;"0.05X100":8990#:7,13 ;" _X ";8,13 ;" 0.5X10 ":8990#:7,14;" = ";8,14;" 5 ":8990#:7,19;"4":8990# !RE9 ,0;"ej.3";9 ,8;"=";10 ,8;"0.07":8990#:9 ,13 ;"";10 ,13 ;"0.07":8990#:9 ,13 ;" ";10 ,13 ;" 0.7":8990#:9 ,14;" =";10 ,14;" 7":8990#:9 ,19;"0.429":8990# !S11 ,0;"ej.4";11 ,8;"=";12 ,8;"0.3":8990#:11 ,13 ;"";12 ,13 ;"0.3":8990#:11 ,13 ;" =";12 ,13 ;" 3":8990#::11 ,19;"0.233":8990#:8995## !T""8532T! !U+5:0:="S"Ŧ="s"8525M! !V"N"Ʀ"n"8532T! !XO65001,13 :65000:11 ,0;" NO USE CALCULADORA": !]""8541]! !^!5:0:="N"Ŧ="n" !_"S"Ʀ"s"8541]! !a65001,22:65000:30:.1}L,35#:3,0;" 5X10 significa 5X10X10=500";5,0;" Esto se presentara como 5X10";4,29;"2":8990# !b65001,20:65000:3,0;" Numeros grandes como 5000000 (cinco millones) o numeros pequenos como 0.000005 (cinco millo- nesimas) se representan facilmente como el producto de una potencia de 10 y un numero del 1 al 10.":8990#:11 ,2;"ej. 5000000=5X10";10 ,18;"6";13 ,2;"y 0.000005=5X10";12 ,17;"-6":8990# !c15,0;" Para escribir un numero en FOR-MA STANDARD pon la coma decimal detras del primer digito NO-CERO";19,2;"ej. 5.76 o 1.05":8990# !dp65001,22:65000:3,0;"ej.1 57600=":8990#:3,11 ;"57600":8990#:3,11 ;"5760.0X10":8990#:3,11 ;"576.0X100":8990#:3,11 ;"57.6X1000":8990#:3,11 ;"5.76X10000":8990#:3,21;"=5.76X10";2,29;"4":8990# !eX5,0;" Observe, que la coma decimal seha movido 4 lugares a la IZQUIERDA." !f48990#:8,0;"ej.2 0.00675=":8990#:8,13 ;"0.00675":8990#:8,13 ;"0.0675X0.1":8990#:8,13 ;"0.675X0.01":8990#:8,13 ;"6.75X0.001":8990#:8,23;"=6.75X10";7,30;"-3":8990# !gT10 ,0;" Esta vez la coma decimal se ha movido 3 lugares a la DERECHA." !h8990#:14,0;"ej.3 2350=":8990#:14,11 ;"2350":8990#:14,11 ;"235.0X10":8990#:14,11 ;"23.5 X10";13 ,19;2:8990#:14,11 ;"2.35 X10";13 ,19;"3":8990# !i$16,0;"ej.4 0.0381=":8990#:16,12 ;"0.0381":8990#:16,12 ;"0.381 X10";15,20;"-1":8990#:16,20;" ";15,21;" ";16,12 ;"3.81 X10";15,19;"-2":8990#:8995## !j""8554j! !k+5:0:="S"Ŧ="s"8545a! !l"N"Ʀ"n"8554j! !n !q""8561q! !r!5:0:="N"Ŧ="n" !s"S"Ʀ"s"8561q! !u65001,22:65000:30:.1}L,35#:3,0;" No hay mucha diferencia entre una factura de 12345.67 u.m. pa-ra un coche y 12345.70. u.m.":8990#:6,0;" La diferencia se puede descri- bir como NO SIGNIFICATIVA.":8990# !v 65001,19:65000:3,0;" Para CIFRAS SIGNIFICATIVAS, em-pezar a contar en el primer digito NO-CERO;":8990#:5,11 ;"si despues del numeropedido de cifras, el siguiente digito es menor de 5, ignorelo;":8990# !w 8,0;"si es 5 o mas, aumenta 1 unidad el siguiente.(cifra sign.=cf)":8990#:10 ,0;" Asi, hasta 3 cifras significativas; 12345=":8990#:11 ,14;"12345":100d:.1}L,35#:11 ,14;"1":502:.1}L,35#:11 ,15;"2":502:.1}L,35#:11 ,16;"3":502:j=130:11 ,17;" ":.05|L,10 :11 ,17;"4":j:11 ,17;"00":8990# !x12 ,0;"y 0.012345=":8990#:12 ,17;"0.012345":1:100d:.1}L,35#:12 ,20;1:502:.1}L,35#:12 ,21;2:502:.1}L,35#:12 ,22;3:502:0:j=130:12 ,23;" ":.05|L,10 :12 ,23;"4":j:20:12 ,23;" ":8990# !y65001,14:65000:10 ,0;"ej.1 con 3 cf. 3456=":8990#:10 ,20;"3456":502:10 ,20;"3":.1}L,35#:502:10 ,21;"4":.1}L,35#:502:10 ,22;"5":.1}L,35#:502:j=130:10 ,23;" ":.05|L,10 :10 ,23;6:j:20:10 ,20;"3460":8990# !ze11 ,0;"ej.2 con 2 cf. 3456=":8990#:11 ,20;"3456":502:11 ,20;"3":.1}L,35#:502:11 ,21;"4":.1}L,35#:502:j=130:11 ,21;" ":.05|L,10 :11 ,21;5:j:20:11 ,20;"3500":8990# !{,12 ,0;"ej.3 con 1 cf. 3456=":8990#:12 ,20;"3456":502:12 ,20;"3":.1}L,35#:502:j=130:12 ,21;" ":.05|L,10 :12 ,21;4:j:20:12 ,20;"3000":8990# !|13 ,0;"ej.4 con 3 cf. 0.07654=":8990#:13 ,23;"0.07654":502:13 ,26;"7":.1}L,35#:502:13 ,27;"6":.1}L,35#:502:13 ,28;"5":.1}L,35#:502:j=130:13 ,29;" ":.05|L,10 :13 ,29;4:j:20:13 ,23;"0.0765";13 ,29;" ":8990# !}14,0;"ej.5 con 2 cf. 0.07654=":8990#:14,23;"0.07654":502:14,26;"7":.1}L,35#:502:14,27;"6":.1}L,35#:502:j=130:14,28;" ":.05|L,10 :14,28;5:j:20:14,23;"0.077";14,28;" ":8990# !~W15,0;"ej.6 con 1 cf. 0.07654=":8990#:15,23;"0.07654":502:15,26;"7":.1}L,35#:502:j=130:15,27;" ":.05|L,10 :15,27;6:j:20:15,23;"0.08";15,27;" ":8990#:8995## !""8575! !+5:0:="S"Ŧ="s"8565u! !"N"Ʀ"n"8575! !&65001,14:65000: !""8581! !!5:0:="N"Ŧ="n" !"S"Ʀ"s"8581! !65001,22:65000:30:.1}L,35#:3,0;"(6X10 )X(9X10 )=";2,5;4;2,13 ;5:8990# !R3,16;"54X10 =54X10";2,21;"5+4";2,30;9 ;2,22;"+":8990#:4,0;" Pero, 54 no esta entre 1 y 10. Por tanto,":8990#:6,11 ;"=5.4X10 X10 =";"5.4X10";5,18;1;5,22;9 ;5,29;"10":8990# ! 0,119w:255,0:1;7,0;"Tambien,";0;9 ,0;"(2X10 )(5X10 )=0.4X10 =0.4X10";8,5;6;8,13 ;2;8,21;"6-2";8,31;4;8,22;"-":8990#:10 ,0;" Pero 0.4 no esta entre 1 y 10. Por tanto,":8990#:12 ,6;"=(4X10 )X10 =4X10 =";"4X10";11 ,11 ;"-1";11 ,17;4;11 ,22;"-1+4";11 ,31;"3":8990# !0,68D:255,0:14,0;"Visto que,";15,5;"(2X10 )X(3X10 )=";"6X10";14,10 ;3;14,18;5;14,25;"8":8990# !0,44,:255,0:17,0;"y,";18,5;"(3X10 )(2X10 )=";"1.5X10";17,10 ;2;17,18;5;17,26;"-3":8990# !65001,22:65000:3,0;"ej.1 (4X10 )X(9X10 )=36X10";2,10 ;3;2,18;7;2,26;10 ;5,20;"=3.6X10";4,27;11 :8990# !8,0;"ej.2 (9X10 )(4X10 )=2.25X10";7,10 ;3;7,18;7;7,27;"-4":8990# !11 ,0;"ej.3 (1.2X10 )(4X10 )=0.3X10";10 ,12 ;3;10 ,20;7;10 ,28;"-4";13 ,22;"=3X10";12 ,26;"-5":8990# !16,0;"ej.4 (3.5X10 )X(4X10 )=14X10";15,11 ;"-4";15,19;"-3";15,27;"-7";18,22;"=1.4X10";17,28;"-6":8990#:8995## !""8594! !+5:0:="S"Ŧ="s"8585! !"N"Ʀ"n"8594! ! !""8601! !!5:0:="N"Ŧ="n" !"S"Ʀ"s"8601! !65001,22:65000:30:.1}L,35#:2,0;" Todos los numeros se remiten a la coma decimal.":8990#:4,0;" Empiece a contar en la coma de-cimal y examine el digito de la posicion siguiente para ver si es 5 o mas.":8990# ! 8,0;"ej.1 con 3 dec 0.0163=":8990#:8,24;"0.0163":502:8,26;"0":.1}L,35#:502:8,27;"1":.1}L,35#:502:8,28;"6":.1}L,35#:502 !|j=130:8,29;" ":.05|L,10 :8,29;"3":j:8,29;" ":8990# !10 ,0;"ej.2 con 2 dec 0.0163=":8990#:10 ,24;"0.0163":502::10 ,26;"0":.1}L,35#:502::10 ,27;"1":.1}L,35#:502 !j=130:10 ,28;" ":.05|L,10 :10 ,28;"6":j:10 ,27;"2";10 ,28;" ":8990# !12 ,0;"ej.3 con 1 dec 0.0163=":8990#:12 ,24;"0.0163":502:12 ,26;"0":.1}L,35#:502 !j=130:12 ,27;" ":.05|L,10 :12 ,27;"1":j:12 ,27;" ":8990# !14,0;"ej.4 con 3 dec 12.3456=":8990#:14,24;"12.3456":502:14,27;"3":.1}L,35#:502:14,28;"4":.1}L,35#:502::14,29;"5":.1}L,35#:502 !j=130:14,30;" ":.05|L,10 :14,30;"6":j:14,29;"6";14,30;" ":8990# !16,0;"ej.5 con 2 dec 12.3456=":8990#:16,24;"12.3456":502:16,27;"3":.1}L,35#:502:16,28;"4":.1}L,35#:502 !j=130:16,29;" ":.05|L,10 :16,29;"5":j:16,28;"5";16,29;" ":8990# !18,0;"ej.6 con 1 dec 12.3456=":8990#:18,24;"12.3456":502:18,27;"3":.1}L,35#:502 !j=130:18,28;" ":.05|L,10 :18,28;"4":j:18,27;"3";18,28;" ":8990#:8995## !""8618! !+5:0:="S"Ŧ="s"8605! !"N"Ʀ"n"8618! ! #""8990# #p30:21,0;" Pulsa ENTER para continuar. ":2:0:="@"900 # T.1}L,35#:9 ;21,0;" ": ##17,0;" Deseas repasar otra vez antes de responder las preguntas? Pulse S/N ": #':.1}L,35#:7,0;" Para trabajar con el modulo de nuevo, pulse R. Pulse S para STOP. ":9100# #("MODULO A"2 #)$"mat code 1"65000,600X # #""9100# #21:0:i$=:i$="R"i$="r"900 #$i$="S"i$="s".5,20: # 9100# B uj. 0.0499= con 1 dec. u 0.0499 =0.0 con 1 dec.  I ra iiiiiiiiii1i1i1i1i1i1i1i1i1i1vax ylsinijcG0.0UHVAQ mat code 1X2 ZD!X6(#!Y6(#!Y6(#!Z6(#!Y60#!Y60#!Y60#!Y60#!Z60#!0Z60#!PZ60#!pZ60#!Z60#!Z60#!Z60#!Z60# P P P 88 MMbXaXL8Wq !v>pPp8A8y9BBB9PLB q #$RR| P pd<*]\"_\C*]\~}t[3*a\Þ*x\#"xMODULO B k_$m7:0::100d g1:1:64999:6,5;"MODULO B CASI LISTO":"mat code 2":1 Z:6;2,1;"MODULO APRENDIZAJE MATEMATICAS";3,14;"7-12";7;''"7. Porcentajes"''"8. Interes Simple"''"9. Ecuaciones Lineales"''"10. Desigualdades Lineales"''"11. Ecuaciones simultaneas"''"12. Variacion": dp90Z:18,0;" Cuando vea el mensaje inferior pulse @ para abandonar el modulo":8990# ab$=" ":4:d$(7,16):k$(7,16):qu=0:8 ٲ90Z:.1}L,35#:16,0;" Entra el numero del modulo con el que deseas trabajar:- (0 para finalizar.) ":q$=" ":n=0 ""986 /0:i$=:=480q$=" "8999'# @i$480Ưi$579ůi$=12 ůi$=13 990 ;.1}L,-5:2:.4L,-20:984 i$=12 984 Si$=13 n=0.1}L,-5:2:.4L,-20:984 )i$=13 qu=q$-7:998 `n=n+1:q$=q$+i$:q$>12 .1}L,-5:2:.4L,-20:984 P.1}L,35#:17,27;8;1;7;q$:986 Hq$<7.1}L,-5:2:.4L,-20:984 qu=qu+1 r=0::.1}L,35#:6;0,10 ;"MATEMATICAS";2;7;0,0;"Modulo ";qu+6:6000p+qu:a,qi1,qi2,qi3,qi4,qi5,qi6,qi7,qi8,qi9,qi10,qi11,qi12,qi13,qi14,qi15,qi16,qi17,qi18,qi19:20:.1}L,35#:17,0;3;7;1;" Deseas repasar antes de respon-der las preguntas? Pulsa S/N. ":6100+20*qu:20 E.1}L,35#:65001,11 :65000:65040 ^n=1a:n=qi1n=qi2n=qi3n=qi4n=qi5n=qi6n=qi7n=qi8n=qi96100+n+20*qu .01z# =,35#:65001,12 :65000:65040:12 ,0;"PREGUNTAS";12 ,16;"AYUDAS" 7000X+30*qu+n:vval,g$,u$,x,y,nlsq:l=1nlsq:d$(l):12 +l,0;d$(l):l::l=1(g$+u$+*2):y,x+l-1;"*";:l:1100L an=qi10n=qi11n=qi12n=qi13n=qi14n=qi15n=qi16n=qi17n=qi18n=qi196110+n+20*qu Jn:2000:8990#:65001,22:65000:984  1000 L5ph=0:hh=0:bb=0:hint=0:i Q:hint120,0;"PRUEBA DE NUEVO " Sj0,5;"escribe la respuesta: ";h$:v$="":u$""1,0;"entra las unidades: ";v$ V<a$=h$:h$>g$Ʊh$>(16-x)a$=h$(116-x) X20,0;" ";y,x;5;b$(1̱g$+u$+1);1;7;y,x;a$;v$:h$+v$=g$+u$1138r Zvval=01160 \&vct=0:h$=01180 ^1l=1̱h$:h$(l)=46.vct=vct+1 `]h$(l)<480Ưh$(l)46.Ưh$(l)43+Ưh$(l)45-ůh$(l)>5791180 b=h$(l)43+Ưh$(l)45-Ưh$(l)46.1130j dl=h$1180 e=h$(l+1)>47/Ưh$(l+1)<58:1130j gl=h$-11180 h=h$(l+2)=43+ůh$(l+2)=45-1180 jl:vct>11180 kh$=g$v$=u$1138r lh$ɰg$1180 m 1165 r20,1;2;6;1;1;"CORRECTO";:" ":l=14:.1}L,34":.1}L,30:l:20:8990#:1150~ t 1160 ~hh=0r=r+1  1195 h$g$1180 8v$u$20,1;0;7;1;"UNIDADES!":.1}L,-5:2:.4L,-20:hint=hint+1:8990#::l=1nlsq:5;0;12 +l,0;d$(l):l:l=1(g$+u$+(*2)):y,x+l-1;"*":l:hint=2hh=hh+1:1200  hint=1:hh8ph=0 il=120:.01z# =,35#:.01z# =,25:l:m=1j:k$(m):hh=im=jbb=1 &bb;12 +ph+m,16;k$(m):m  ph=ph+j *20,7;5;" ": 65001,22:65000:5,0;" En este modulo conseguiste:- respuestas correctas sin ayuda. ";9 ,0;" Si necesitas mas ayuda, trabajacon las siguientes secciones de AYUDA AL ESTUDIO MONSER. " "a=0r=1:a=12 ү9 ;6,10 ;r;" sobre ";a:r/a.8L3,11 ;"MUY BIEN":j=15:.1}L,16:.1}L,24:.1}L,20:j 2000+10 *qu: >13 ,0;"Porcentajes pag. 28 y 29, Ej 3b,pag. 31." +r<13 ''"Luego el modulo otra vez."  @13 ,0;" Interes simple, Ej 3c, pag. 34 (1 a 7).": /13 ,0;" Ejercicio 5b, pag. 44.": 13 ,0;"Desigualdades pag. 44."'"Recuerde que > se convierte en < si multiplica o divide por un numero negativo.": D15,0;" Ejemplos 5.6 y 5.7, pag. 46 y 5d, pag. 47.":  -15,0;" Ejercicio 6d, pag. 56." *r<4''"Luego el modulo otra vez."  q15,11 ,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 r5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 s17,4,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 t 14,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 u 12 ,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5,.5 v5,2,3,4,5,.5,.5,.5,.5,.5,1,2,3,4,5,.5,.5,.5,.5,.5 K1,10 ;6;"PORCENTAJES":.1}L,35#:8521I!: 65001,22:65000:2,0;" En la pregunta a. la longitud estaba aumentada un 6%, por tan-to la nueva longitud es un 106% de la antigua.":8990#:6,0;" Asimismo, en b. la longitud es-taba aumentada un 2%, por tanto la nueva longitud es un 102% de la antigua.":8990#:65001,22:65000:3,0;" Hallar el precio original Si el precio se ha aumentado un6%" 8,0;" Por tanto, el precio antiguo es";9 ,0;" del actual.";10 ,0;"106":8990#:12 ,0;"Si se reduce el precio un 6%,"'"el precio actual es 94%=_ del"''"antiguo.";14,24;"100":8990#:17,0;" Por tanto, el precio antiguo es";18,0;" del actual.";19,1;"94":8990#: M1,8;6;"INTERES SIMPLE":.1}L,35#:8541]!: R1,7;6;"ECUACIONES LINEALES":.1}L,35#:8561q!: 65001,22:65000:.1}L,35#:2,0;" Si hay un signo menos delante de un corchete, ese signo menos se aplica a cada termino dentro del corchete,":8990# 6,0;"ej.1 Si 3x-4(x+1)=5":8990#:7,10 ;"3x-4x-4 =5";6,12 ;"-";7,15;"-":8990# 19 ,0;"ej.2 si 2x-3(x-2)=5":8990#:10 ,10 ;"2x-3x+6 =5";9 ,12 ;"-";10 ,15;"+":8990#:12 ,0;" Cuando hayas eliminado las fracciones y corchetes reunelos comoterminos y resuelve la ecuacion.":8990#: %U1,6;6;"DESIGUALDADES LINEALES":.1}L,35#:8581!: 9y1,4;6;"ECUACIONES SIMULTANEAS":.1}L,35#:8601!:65001,22:65000: MI1,11 ;6;"VARIACION":.1}L,35#:8621!: N 65001,19:65000:5,0;" b. Bajo algunas condiciones, ladistancia, s metros,que se nece sita para detener un coche que viaja a x metros por segundo es proporcional al cuadrado de la velocidad y se escribe:-";11 ,13 ;"s=***": O65001,19:65000:5,0;" c. El coste,C(u.m),de enmoque tar una habitacion cuadrada es proporcional al cuadrado de la longitud, x metros, de un lado de la habitacion, y se escribe:-";11 ,13 ;"C=***": P'65001,19:65000:5,0;" d. El tiempo,T anos,en el que se duplica una suma de dinero invertida a un interes simple es inversamente proporcional al tanto por ciento,x,al que esta in- vertido el dinero, y se escribe:-";11 ,13 ;"T=***": Q65001,19:65000:5,0;" e. La altura,h metros,de un as-censionista es proporcional al cuadrado de la distancia, x me--tros,de su horizonte, y se escribe:-";11 ,13 ;"h=***": W,11 ,15;"kx":8990#: X,11 ,15;"kx":8990#: Y,11 ,15;"kx":8990#: Z,11 ,15;"k/x":8990#: [,11 ,15;"kx":8990#: w1,"6","",2,17,5,"a. Si una barra de","100cm de longitud se"," alarga en un 6%,","la extension","= cm.",2,2,"6%=__X100cm"," 100",1," =6cm." x1,"106","",6,19,7,"a. Si una barra","de 100cm de lon","gitud alarga un","6%,la extension","= 6cm."," Nueva longitud"," = cm.",2,1,"Nueva longitud=",2,"106% =100+6"," =106cm." y1,"8","",2,17,5,"b. Si una barra","de una longitud","de 400cm se alar","ga un 2%,la ext.","= cm.",2,2,"2%=__X400cm"," 100",1," =8cm." z1,"408","",6,19,7,"b. Si una barra","de una longitud","de 400cm se alar","ga un 2%,la ex","tension= 8cm."," Nueva longitud"," = cm.",2,1,"La nueva=102%",2," =400+8"," =408cm." {1,"35","",2,17,5,"c. Si una barra","de una longitud","de 700cm se alar","ga un 5% la ext.","= cm.",2,2,"5%=__X700cm"," 100",1," =35cm." |1,"735","",6,19,7,"c. Si una barra","de una longitud","de 700cm se alar","ga un 5%,la ex","tension= 35cm."," Nueva longitud"," = cm.",2,1,"Nueva longitud=",2,"105% =700+35"," =735cm." }1,"36","",2,17,5,"d. Si una barra","de una longitud","de 900cm se alar","ga un 4% la ext.","= cm.",2,2,"4%=__X900cm"," 100",1," =36cm." ~1,"936","",6,19,7,"d. Si una barra","de una longitud","de 900cm se alar","ga un 4% la ex","tension= 36cm."," Nueva longitud"," = cm.",2,1,"Nueva longitud=",2,"104% =900+36"," =936cm." 1,"84","",2,17,5,"e.Si una barra","de una longitud","de 1200cm se a","larga un 7% ext.","= cm.",2,2,"7%=__X1200cm"," 100",1," =84cm." 1,"1284","",6,19,7,"e. Si una barra","de una longitud ","de 1200cm se a","larga un 7%,la","extension= 84cm."," Nueva longitud"," = cm.",2,1,"Nueva longitud=",2,"107% =1200+84"," =1284cm." 1,"108","",12 ,18,7,"f. Despues de un","8% de incremento","el precio nuevo","es 108/100 anti","guo.Precio anti","guo=","del nuevo. ",1,1,"108" 1,"126","",12 ,18,7,"g. Despues de un","26% de incremen","to el precio nue","vo es 126/100","antiguo.Pre","cio antiguo=","del nuevo.",1,1,"126" 1,"90","",12 ,18,7,"h. Despues de un","10% de reduccion","el precio nuevo","es = 90/100 anti","guo.Precio anti","guo=","del nuevo.",1,1," 90" 1,"75","",12 ,18,7,"i. Despues de un","25% de reduccion","el precio nuevo","es=75/100 an","tiguo.Precio an","tiguo=","del nuevo.",1,1," 75" 1,"225","",12 ,18,7,"j. Despues de un 125%","de incremento,el precio","nuevo es= del","antiguo 100","Precio antiguo = ","","del nuevo.",1,1,"225" 1,"60","",2,16,4,"a. El interes","de 300 al 10%","durante 2 anos.","=",2,2,"I=XX"," 100",1," =60 de interes" 1,"30","",2,16,4,"b. El interes","de 200 al 3%","durante 5 anos.","=",2,2,"I=XX"," 100",1," =30 de interes" 1,"1200","",2,16,4,"c. El interes","de 2000 al 20%","durante 3 anos.","=",2,2,"I=XX"," 100",1," =1200 de interes" 1,"1400","",2,16,4,"d. El interes","de 8000 al 5%","durante 3.5 anos.","=",2,2,"I=XX"," 100",1," =1400 de interes" 1,"150","",2,16,4,"e. El interes","de 250 al 10%","durante 6 anos.","=",2,2,"I=XX"," 100",1," =150 de interes" 0,"12","",9 ,16,4,"a. -=1"," 3 4","Multiplica ambos","lados por",1,2,"mcm de 3 y 4"," =12" 0,"20","",9 ,16,4,"b. +="," 5 4 2","Multiplica ambos","lados por",1,2,"mcm de 2,4 y 5"," =20" 0,"15","",9 ,16,4,"c. -=0"," 3 5","Multiplica ambos","lados por",1,2,"mcm de 3 y 5"," =15" 0,"6","",9 ,17,5,"d. Halla x:-"," -=1"," 2 3","Multiplica ambos","lados por",1,2,"mcm de 2 y 3"," =6" 0,"1","",1,19,7,"d. Halla x:-"," -=1"," 2 3","Multiplica ambos","lados por 6 y","simplifica."," =x",3,4,"Multiplica ambos","lados por 6:-"," 6-6=6"," 2 3",2,"Simplifica:-"," 3x-2x=6",1," 1x= (1x=x)" g1,"6","",5,16,4,"d. Halla x:-"," -=1"," 2 3"," x=",1,1," x=6" 0,"30","",9 ,17,5,"e. Halla x:-"," -="," 2 3 5","Multiplica ambos","lados por",1,2,"lcm de 2,3 y 5"," =30" 0,"9","",1,19,7,"e. Halla x:-"," -="," 2 3 5","Multiplica ambos","lados por 30 y","simplifica."," =x",3,4,"Multiplica ambos","lados por 30:-"," 30-=30"," 2 3 5",3,"Simplifica:-"," 15x-10=6x"," 15x-6x=10",1," 9x=" l0,"10","",5,16,4,"e. Halla x:-"," -="," 2 3 5"," 9x=",1,1," 9x=10" 1,"1.11","",5,17,6,"e. Halla x:-"," -="," 2 3 5"," 9x=10"," =x"," (to 3 sf)",1,2," x=10/9"," =1.11 (con 3 cf)" 0,"3x+9-2x+8=7","",0,16,7,"f. Halla x:-","3(x+3)-2(x-4)=7","Quita corchetes:-","","Entra linea si","guiente exacta-","mente-no espacios.",1,1,"3x+9-2x+8=7" 1,"-10","",4,16,4,"f. Halla x:-","3(x+3)-2(x-4)=7","3x+9-2x+8=7"," x=",2,1,"3x-2x=7-9-8",1," x=-10" 0,"5x+5-6+3x=7","",0,16,7,"g. Halla x:-","5(x+1)-3(2-x)=7","Quita corchetes:-","","Entra linea si","guiente exactam.","(no espacios).",1,1,"5x+5-6+3x=7" 1,"1","",4,16,4,"g. Halla x:-","5(x+1)-3(2-x)=7","5x+5-6+3x=7"," x=",2,1,"5x+3x=7-5+6",2," 8x=8"," x=1" 1,"12","",9 ,17,5,"h. Galla x:-","-=2"," 4 3","Multiplica ambos","lados por",1,2,"lcm de 3 y 4","=12" µ0,"15-3x-4x-12=24","",0,17,7,"h. Halla x:-","-=2"," 4 3","3(5-x)-4(x+3)=24","","Entra linea si","guiente-(no esp)",1,1,"15-3x-4x-12=24" 1,"-3","",4,18,6,"h. Galla x:-","-=2"," 4 3","3(5-x)-4(x+3)=24","15-3x-4x-12=24"," x=",3,1,"-3x-4x=24-15+12",1," -7x=21",1," x=-3" {0,">3","",5,14,4,"a. 4x>12"," x","Entra la respuesta","(sin espacios)",1,1," x>3" }0,"<-2","",5,14,4,"b. 3x<-6"," x","Entra la respuesta","(sin espacios)",1,1," x<-2" ӂ0,"<-3","",6,14,4,"c. -3x>9"," x","Entra la respuesta","(sin espacios)",1,1," x<-3" [0,">4","",6,14,2,"d. -2x<-8"," x",1,1," x>4" Y0,">6","",4,15,3,"e. >3"," 2"," x",1,1," x>6" b0,">-6","",5,15,3,"f. -<2"," 3"," x",1,1," x>-6" Y0,">8","",7,14,2,"g. 4x-3>5"," 4x",1,1," 4x>8" f0,">2","",7,15,3,"g. 4x-3>5"," 4x>8"," x>2",1,1," x>2" Z0,"<4","",7,14,2,"h. 3-4x<7"," -4x",1,1," -4x<4" j0,">-1","",7,15,3,"h. 3-4x<7"," -4x<4"," x",1,1," x>-1" Z0,">6","",7,14,2,"i. 2-3x>8"," -3x",1,1," -3x>6" j0,"<-2","",7,15,3,"i. 2-3x>8"," -3x>6"," x",1,1," x<-2" \0,"<-6","",7,14,2,"j. 8-3x<2"," -3x",1,1," -3x<-6" i0,">2","",7,15,3,"j. 8-3x<2"," -3x<-6"," x",1,1," x>2" 1,"1","",6,18,6,"a. Elimina y","entre estas","ecuaciones:-","5x+ y=4 (1)","3x+2y=1 (2)"," x=",2,2,"10x+2y=8 (1)X2"," 3x+2y=1 (2)",2," 7x =7 (1)-(2)"," x=1" 1,"-1","",3,19,7,"a. 5x+ y=4 (1)"," 3x+2y=1 (2)"," x=1","Sustituye x en","(1) y resuelve","por y."," y= (comprueba)",1,2," 5+ y=4 (1)"," y=-1" 1,"3","",6,18,6,"b. Elimina y","entre estas","ecuaciones:-","3x-4y=1 (1)","5x+ y=17 (2)"," x=",2,2," 3x-4y=1 (1)","20x+4y=68(2)X4",2,"23x =69(1)+(2)"," x=3" 1,"2","",3,19,7,"b. 3x-4y=1 (1)"," 5x+ y=17 (2)"," x=3","Sustituye x en","(1) y resuelve","por y."," y= (comprueba)",1,2," 9-4y=1 (1)"," y=2" 1,"-1","",6,18,6,"c. Elimina y","entre estas","ecuaciones:-","5x+3y=1 (1)","7x-2y=-11 (2)"," x=",2,2,"10x+6y=2 (1)X2","21x-6y=-33 (2)X3",2,"31x =-31 (1)+(2)"," x=-1" 1,"2","",3,19,7,"c. 5x+3y=1 (1)"," 7x-2y=-11 (2)"," x=-1","Sustituye x en","(1) y resuelve","por y."," y= (comprueba)",1,2," -5+3y=1 (1)"," y=2" 1,"1","",6,18,6,"d. Elimina x","entre estas","ecuaciones:-"," x+5y=8 (1)","3x-2y=7 (2)"," y=",2,2," 3x+15y=24 (1)X3"," 3x -2y=7 (2)",2," 17y=17 (1)-(2)"," y=1" 1,"3","",3,19,7,"d. x+5y=8 (1)"," 3x-2y=7 (2)"," y=1","Sustituye y en","(1) y resuelve","por x."," x= (comprueba)",1,2," x+ 5=8 (1)"," x=3" 1,"-2","",6,18,6,"e. Elimina x","entre estas","ecuaciones:-","3x-5y=25 (1)","4x+7y=6 (2)"," y=",2,2,"12x-20y=100(1)X4","12x+21y= 18(2)X3",2," -41y=82 (1)-(2)"," y=-2" 1,"5","",3,19,7,"e. 3x-5y=25 (1)"," 4x+7y=6 (2)"," y=-2","Sustituye y en","(1) y resuelve","por x."," x= (comprueba)",1,2," 3x+10=25 (1)"," x=5" 1,"1","",6,18,6,"f. Elimina x","entre estas","ecuaciones:-","4y-3x=7 (1)","5y+2x=3 (2)"," y=",2,2," 8y-6x=14 (1)X2","15y+6x=9 (2)X3",2,"23y =23(1)+(2)"," y=1" 1,"-1","",3,19,7,"f. 4y-3x=7 (1)"," 5x+2y=3 (2)"," y=1","Sustituye y en","(1) y resuelve","por x."," x= (comprueba)",1,2," 4-3x=7 (1)"," x=-1"  n0,"3","",11 ,14,2,"a.","Entra 1-5.",2,1,"Nota:cubo",1,"3 V=kx" r0,"2","",11 ,14,2,"b.","Entra 1-5.",2,1,"Nota:cuadrado",1,"2 s=kx" r0,"2","",11 ,14,2,"c.","Entra 1-5.",2,1,"Nota:cuadrado",1,"2 C=kx" q0,"4","",11 ,14,2,"d.","Entra 1-5.",2,1,"a la inversa",1,"4 T=k/x" r0,"2","",11 ,14,2,"e.","Entra 1-5.",2,1,"Nota:cuadrado",1,"2 h=kx" !I""8521I! !J!5:0:="N"Ŧ="n" !K"S"Ʀ"s"8521I! !M$65001,22:65000 !N30:.1}L,35#:2,0;" Porcentajes son fracciones de denominador 100.":8990#:4,0;" Ej:- 10% de 50(u.m.)=_X50=5 (u.m.)";5,22;"100":8990#:6,6;"20% de 50(u.m.)=_X50=10 (u.m.)";7,22;"100":8990#:8,6;"35% de 50(u.m.)=_X50=17.50(u.m.)";9 ,22;"100":8990# !O710 ,0;" Si el precio de un articulo fue20(u.m.) y se incrementa un 6%, el incremento es __X20=1.20";13 ,17;"100":8990#:14,0;" Por tanto, el nuevo precio=20+ 1.20=21.20 o, nuevo precio=";17,0;"X20 =21.20";16,27;"100":8990# !P]65001,22:65000:4,156:247,0:0,-72H:-247,0:0,71G:246,0:0,-70F:-246,0:0,70F:1;3,6;"LIQUIDACION"'" Rebajas"''" 6% de descuento!!"''" Una radio costaba 20(u.m.)"''" Ahora  ":8990# !Q5,15;"Nuevo precio=94%";6,16;"=_X20=";7,17;"100":8990#:6,25;"18.80";10 ,9 ;"18.80(u.m.)":8990#:10 ,9 ;"18.80(u.m.)" !R :8995## !S""8531S! !T+5:0:="S"Ŧ="s"8524L! !U"N"Ʀ"n"8531S! !\ !]""8541]! !^!5:0:="N"Ŧ="n" !_"S"Ʀ"s"8541]! !a.1}L,35#:65001,22:65000:2,0;" Si una cantidad de dinero,cuyo capital es P(u.m.), se presta alR% de interes anual (por ano), PR = al interes durante 1 ano 100":0,128:24,0:8990# !b7,0;" PRx2 = al interes en 2 anos 100":8,112p:32 ,0:8990#:9 ,0;" PRx3 = al interes en 3 anos 100":8,96`:32 ,0:8990# !cw11 ,0;"y"'" PRXT = al interes en T anos 100":8,72H:32 ,0:8990# !d14,0;" Esto es INTERES SIMPLE, pagamos interes cuando esta previsto. ":8990#:65001,22:65000:2,0;" Por ejemplo, supongamos que nosprestan dinero para comprar un coche. El precio del"'"coche es 3000(u.m) y" !fx184,124|:47/,0:0,4:-8,12 :-18,0:-8,-8:-5,0:-8,-3,/8:0,-5:188,124|:7,0,:222,124|:7,0,:198,132:31,0:212,140:1,-16:200,124|:-2,8 !hC6,0;"necesitamos que nos lo"'"presten al 18% pa durante 2 anos":8990#:8,0;" Tendremos que pagar"'" PRT=3000X18X2";10 ,6;"100";10 ,13 ;"100";11 ,9 ;"=1080(u.m.) de interes":480,96`:24,0:88X,96`:72H,0 !i502:224,99c,10 :228,102f:228,101e:220,102f:220,101e:224,102f:-1,-4:2,0:220,94^:8,0,-/1.5@:8990# !j12 ,0;" Pero,si hemos ahorrado 1800, deforma que solo necesitamos que nos presten 1200, y si encontra mos a alguien que nos lo preste al 8% pa. durante 2 anos, solo tendremos que pagar:-";18,0;"PRT=1200X8X2";19,0;"100";19,7;"100";18,12 ;"=192 de interes":480,24:24,0:88X,24:64@,0 !k502:224,25,10 :228,28:229,28:220,28:219,28:224,28:-1,-4:2,0:220,22:8,0,/1.3&fff:8990#:65001,11 :65000:8995## !l""8556l! !m+5:0:="S"Ŧ="s"8545a! !n"N"Ʀ"n"8556l! !o !q""8561q! !r!5:0:="N"Ŧ="n" !s"S"Ʀ"s"8561q! !u.1}L,35#:65001,22:65000:2,0;" Si hay fracciones en una ecua cion lineal, multiplica ambos lados de la ecuacion por el mcm delos denominadores de estas frac-ciones.":8990# !v7,0;"ej.1";8,4;"Si +=1";9 ,8;"2";9 ,11 ;"3":8990#:9 ,8;"2";9 ,11 ;"3";10 ,0;"multiplicado por 6, mcm de 2 y 3":8990# !w<12 ,0;"ej.2";13 ,4;"Si +=";14,8;"2";14,11 ;"3";14,15;"5":8990#:14,8;"2";14,11 ;"3";14,15;"5";15,0;"multiplicado por 30, mcm de 2,3 y 5":8990#:8995## !""8576! !+5:0:="S"Ŧ="s"8565u! !"N"Ʀ"n"8576! ! !""8581! !!5:0:="N"Ŧ="n" !"S"Ʀ"s"8581! !65001,22:65000:.1}L,35#:2,0;" Si x>3, entonces 2x>6";3,18;"3x>9";4,18;"5x>15, etc,";5,0;"cualquiera que sea el multiplicador POSITIVO que usemos.":8990# !8,0;" Pero, cuando multiplicamos por un numero NEGATIVO:"'"si x>3, entonces -2x<-6";11 ,18;"-3x<-9";12 ,18;"-5x<-15, etc.":8990# !14,0;" Por tanto,";14,16;"4>3":8990#:15,0;" Multiplica por 5,es";16,14;"5X4>5X3";17,15;"20>15":8990# !65001,9 :65000:14,0;" Pero ";14,16;"4>3":8990#:15,0;" Multiplica por -5,es";16,13 ;"-5X4<-5X3";17,14;"-20<-15":8990# !&65001,22:65000:2,0;" Para resolver desigualdades, podemos necesitar dividir ambos lados por un n. negativo o positivo.":8990#:6,0;"ej.1";6,21;"2x>6":8990#:7,3;"divide por 2,entonces, x>3":8990# !9 ,0;"ej.2 Pero,";9 ,20;"-3x>6":8990#:10 ,3;"divide por -3,entonces, x<-2":8990#:;12 ,0;"ej.3";12 ,21;"5x>20":8990#:13 ,3;"divide por 5,entonces, x>4":8990# !15,0;"ej.4 Pero,";15,20;"-5x>30":8990#:16,3;"divide por -5,entonces, x<-6":8990#:8995## !""8592! !+5:0:="S"Ŧ="s"8585! !"N"Ʀ"n"8594! ! !""8601! !!5:0:="N"Ŧ="n" !"S"Ʀ"s"8601! !b.1}L,35#:65001,22:65000:2,0;" Para resolver estas ecuaciones simultaneas,";4,11 ;"3x+y=4";5,11 ;"2x-y=6"'"sumamos las dos ecuaciones de forma que los terminos y desapa-rezcan.":8990#:8,11 ;"5x =10":8990#:8,20;"x=2":8990# !-9 ,0;" Luego sustituimos x=2 en la primera ecuacion,";11 ,11 ;"3x+y=4":8990#:j=115:11 ,11 ;"3x":.05|L,10 :5:11 ,11 ;" 6":.05|L,10 :5:j:8990#:11 ,19;"y=-2":8990# !12 ,0;"y finalmente, probamos sustitu- yendo en la segunda ecuacion";14,11 ;"2x-y=2X2-(-2)=6":8990#:15,0;"de forma que sabemos que x=2 y y=-2 son las soluciones de las ecuaciones.":8990# !65001,22:65000:2,0;" Si no tenemos terminos con los mismos coeficientes, les hacemosiguales multiplicando una o las dos ecuaciones por numeros apro-piados,";7,11 ;"4x-3y=2 (1)";8,11 ;"2x+ y=1 (2)":8990# !9 ,0;"podriamos multiplicar (2) por 3 y luego sumar a (1),":8990#:11 ,11 ;"6x+3y=3 (2)X3":8990#:12 ,0;"sumando, 4x-3y=2"'"tenemos 10x =5";14,15;"x=0.5":8990# !65001,15:65000:9 ,0;"podriamos haber multiplicado (2) por 2 y luego restado,":8990#:11 ,11 ;"4x+2y=2 (2)X2":8990#:12 ,0;"restando,";13 ,11 ;"4x-3y=2 (1)"'"tenemos 5y=0";15,15;"y=0":8990#:17,0;" Hallando una incognita, obtene-mos la otra generalmente por sustitucion.":8990#:8995## !""8611! !+5:0:="S"Ŧ="s"8605! !"N"Ʀ"n"8611! ! !""8621! !-5:0:="N"Ŧ="n"8645!: !"S"Ʀ"s"8621! !.1}L,35#:65001,22:65000:3,0;" Paseando a una"'"velocidad CONS-"'"TANTE,la distan-"'"cia, s km es pro"'"porcional al"'"tiempo, t,"'" s=kt,"'"la constante"'"de proporcion,"'"k, es nuestra"'"velocidad." !8700!:8990#:132,28:120x,72H:133,28:119w,71G:12 ,28;"s=3t" !z8990#:132,28:120x,96`:133,28:119w,95_:8,28;"s=4t" !|8990#:132,28:120x,120x:133,28:119w,119w:4,26;"s=5t" !(8990#:65001,22:65000:3,0;" Si tenemos que"'"recorrer una dis-"'"tancia, fija,"'"s km cuanto mas"'"rapido caminemos"'"antes llegaremos"'"a nuestro"'"destino."'"El tiempo,t horas"'"es INVERSAMENTE"'"proporcional"'"a la velocidad,"'"v kmh."'" t=s/v" !8710":8990#:139,152:13 ,-84T,/10 :20,-20,/6:20,-10 ,/8:60<,-3,/12 :16,24;"t=2/v" !138,152:13 ,-84T,/10 :20,-20,/6:20,-10 ,/8:60<,-4,/10 :8990# !152,148:20,-60<,/8:20,-20,/6:60<,-20,/8:12 ,21;"t";13 ,22;"=";14,22;"6/v" !{153,148:20,-60<,/8:20,-20,/6:60<,-20,/8:8990# !165,152:7,-24,/10 :40(,-502,/4:20,-10 ,/10 :20,-7,/10 :6,22;"t=10/v" !164,152:7,-24,/10 :40(,-502,/4:20,-10 ,/10 :20,-7,/10 :8990# !65001,22:65000:3,0;" La superficie"'"AREA,A, de un"'"balon esferico"'"es proporcional"'"al"'"CUADRADO del"'"diametro,d,"'" A=kd,"'"el VOLUMEN,V,"'"es proporcional"'"al CUBO del"'"diametro,"'" V=kd":8720":8990# !132,28:40(,16,/5:40(,480,/6:10 ,27;"y=";11 ,29;"2":133,28:40(,16,/6:40(,480,/6:8990# !132,28:40(,32 ,/6:40(,96`,/6:6,26;"y=x":133,28:40(,32 ,/6:40(,96`,/6:8990# !132,28:40(,64@,/12 :16,64@,/12 :2,18;"y=2x":133,28:40(,64@,/12 :16,64@,/12 :8990#:8995## !""8644! !+5:0:="S"Ŧ="s"8625! !"N"Ʀ"n"8644! !ɷ65001,22:65000:2,0;" Para responder las preguntas, entra,1 para kx 2 para kx 3 para kx 4 para k/x 5 para k/x":8990# !5,0;"a. Los volumenes,V metros cubi- cos,de liquido en vasos de for-ma similar son proporcionales a los cubos de las alturas,x me-- tros, de los vasos y se escriben:-";11 ,13 ;"V=***": !128,26:124|,0:130,24:0,135:i=281568:132,i:120x,0:i:i=1322538:i,28:0,131:i !i=2714740(:128,i:124|,0:i:i=13125140(:i,24:0,135:i !1;19,21;"1";19,26;"2";19,31;"3";18,15;"0";13 ,15;"5";8,14;"10";3,14;"15";0;20,18;"Tiempo(horas)";2,13 ;"Distancia(km)";5,15;"s" " "128,26:124|,0:130,24:0,135:i=2815610 :132,i:120x,0:i:i=13225310 :i,28:0,131:i "i=2714720:128,i:124|,0:i:i=13125120:i,24:0,135:i "1;19,18;"1";19,21;"2";19,24;"3";19,26;"4";19,29;"5";19,31;"6";18,15;"0";16,15;"1";13 ,15;"2";10 ,15;"3";8,15;"4";5,15;"5";3,15;"6";0;20,17;"Velocidad(kmh)";2,14;"Tiempo(horas)": "128,26:124|,0:130,24:0,135:i=281568:132,i:120x,0:i:i=1322538:i,28:0,131:i "i=2715716:128,i:124|,0:i:i=13125140(:i,24:0,135:i "1;19,21;"1";19,26;"2";19,31;"3";19,15;"0";14,15;"1";10 ,15;"2";6,15;"3";2,15;"4";0;2,14;"y";20,29;"d": #""8990# #p30:21,0;" Pulsa ENTER para continuar. ":2:0:="@"900 # T.1}L,35#:9 ;21,0;" ": #! 1005 ##17,0;" DeseaS repasar otra vez antes de responder las preguntas? Pulsa S/N. ": #':7,0;" Para usar el modulo de nuevo, pulsa R Pulsa S para STOP. ":9100# #("MODULO B"2 #)$"mat code 2"65000,600X # #""9100# #*5:0:="R"Ŧ="r"900 #"="S"Ŧ="s".5,20: # 9100# B ue. Entra 1-5. u2 h=kx Q 12I raiiiiiiiiii1i1i1i1i1i1i1i1i1i1vax ylsinijG2UHVAmat code 2XZD!X6(#!Y6(#!Y6(#!Z6(#!Y60#!Y60#!Y60#!Y60#!Z60#!0Z60#!PZ60#!pZ60#!Z60#!Z60#!Z60#!Z60# P P P 88 MMbXaXL8Wq !v>D((DDDD<8>>000 q #$RR| P pd<*]\"_\C*]\~}t[3*a\Þ*x\#"x