Metodologia De La Programación

universidad tecnológica de tulancingo |
Metodología de la programación |
Unidad II |
|
Rojas López Ruth Estephanie |
08/11/2012 |

UNIDAD II EXPRESIONES
Suma +

Resta –

Multiplicación *

División /
Residuo %
Exponente o potencia ^

Suma +

Resta –

Multiplicación *

División /
Residuo %
Exponente o potencia ^

Aritméticos
Aritméticos

OPERADORESOPERADORES
Relacionales
Relacionales
Mayor que >
Menor que <
Mayor o igual que ≥
Menor o igual que ≤
Igual ==
Diferente ≠ó <>
Mayor que >
Menor que <
Mayor o igual que ≥
Menor o igual que ≤
Igual ==
Diferente ≠ó <>
Lógicos
Lógicos
And- y - &&
Or- o -II
Not- no -!

And- y - &&
Or- o -II
Not- no -!

Jerarquía de las operaciones
1.Agrupación () y []
2. Exponente o potencia ^
3. Multiplicación * y División /
4. Suma + y Resta –
5. Comparación
6. Lógicos

1. 34-56+52
[( 34-5 ) / 6]+25= (29/6)+25 = 4.8 + 25 = 24.8

2. 248+ 524- 5+3*542
[(24/8) + (5^2) / (4 ^ (1/2))] - [( (5+3)*5 ) / (4 ^2)] = [(3 + 25) / 2] - [ (8 *5)/ 16 ]= (28 /2) – (40/ 16) = 14- 2.5= 11.5

3. 5*5+322-4+21+7*462
[(((5*5) +3 )/ 2))^2] – (4^(1/2)) + [(((7*4) +21)/6)^2] = (((25+3)/2)^2) – 2 + [(((28+21)/6))^2] = ((28/2)^2) -2+ ((49/6)^2)= ((14^2)-2) + (8.16^2) = (196-2)+ (66.58) = 194 + 66.58= 260.58

4. 4-32+82233-213+72
[(4-( 32+8) / 2^2)) / (3^3)] – [((21/3)+7)/2] = [(4-(40/4))/27)] – ((7+7)/2) = ((4-10)/27)-(14/2)= (-6/27) -7= -0.22-7= -7.22

5. 32+82233-21 3+72
[((32+8) / (2^2)) /(3^3)]-[ ((21/3)+7)/2 ] = ((40/4) / 27) – ((7+7 )/2) = (10/27) – (14/2) = 0.37- 7= -6.63
Ejercicios
1. 324+52-332+1
[((32/4)+5)^2] - [(33/2)(1/2)] +1 = ((8+5)^2) –(16.5^(1/2))+1 = (13^2) – (4.06 +1)
= 169-5.06= 163.94
2. 23+43-1+28-5+3-14-20+262
[(23+4) /( 3-1)]+ [(28-5+ 3-1)) / 4]- [(20+2)/6)^2] = (27/2) + (25/4)- ((22/6)^2) = 13.5 + 6.25– (3.66^2) = 13.5 + 6.25- 13.39= 6.36

3.25+34+222+29+24+1-3+142-2
[((25+3) /((4+2)^2))^2]+ [((29+2)/(4+1))- ((3+1)/4))^2]-2 =( 28/(6^2)) + [((31/5)-(4/4))^2 ]- 2 = ((28/36)^2) + ((6.2- 1)^2) -2 = 0.5929 + 27.04-2= 25.63

4. 30+22+ 5-23-3+2.52
[(30+2)/2]+ [(5-2)/3]- [(3+(2.5^2)]= (32/2)+ (3/3)- ((3+10)^2) = 16+1 – (13^2) = 17- 169= -152

5. 22+13-52+9
[(22+1)/3]-(5^2)+(9^(1/2) )= (23/3) – 25+ 3= 7.66-22= -14.34
6.202+52 + 5-23
[((20/2)+5)^2] + [((5-2) /3))^(1/2)] = ((10+5)^2)+ ((3/3)^2) = (15^2) + (1^2) = 225 +1 = 226

7. 3242+5-232
[(32/4)^2) + (5-(2/3))] ^2 = ( (8^2) + (5) – 0.66)^2 = (64+5-0.66)^2 = 4670.35
8. 2014+21 7-25*3+9
(201 /4) + (21/7)-[(((2/5)*3)+9)^(1/2)]= (50.25 +3)- ((1.2+9)^(1/2))= 53.25 - 3.19 = 50.06
Ejercicios
1. 654+32-1 + 324-32=
[((65/4)+(3^2)-1)^(1/2)] +[((32/4)-3)^2]= [ (16.25 + 9-1)^(1/2)]+ [(8-3)^2]= (24.25^(1/2)) + (5^2)= 4.92+25 = 29.92
2. 364+819+32+5-12+3-1)2=
[((36/4)+(81/9))^(1/2)] + [ ((32+5-1)^2)+ 3 -1)^2]= ((9+ 9)^(1/2)) + [((36^2) +(3-1))^2] =(18^(1/2)) + (( 1296+2)^2)= 4.2426 + ((1298)^2)= 4.2426 + 1684804 = 1684808.2426
3. 26+5-1+430-2-2+23+542 -81+3-242=
[((26+5-1+4)/(30-2))^-2] + [((23+5)/(4^2))^(1/2)] –[((81+3-2)/4)/2]= ((34/28) ^-2) + ((28/16)(1/2)) ­ ((82/4)/2) = (1.2142^-2)+(1.75^(1/2))-(20.5/2) = 0.6782 + 1.3228 - (20.5/2)= 0.6782+1.2328-10.25=-8.339
4. 35+42-8+53*225+42+2=
[((35+4)^2)-((8+5)^3) *2 ]/[ ((25+4)/2)+2]= ((39^2)-(13^3)*2) / ((29 /2)+2) = (1521- (2197 *2))/(14.5+2)= 1521 -4394 / 16.5= -2873 /16.5 = -174.1212
5. 90+442 * 5+93 3+5*64+22=
[((90+4)/(4^2))* ((5+9)/3) ^ (1/2)]/ [((3+(5*6)) / (4+2)^2)] =[(94 /16)*(14/3) ^ (1/2)] / [(( 3+ 30)/(4+2)^2)]= ((5.875 * 4.666 ) ^(1/2) / ((33/6)^2))= (27.41275^(1/2)/ (5.5 ^2)= 5.2357/ 30.25 = 0.1730
Ejercicios
| And | Or |
VV | V | V |
VF | F | V |
FV | F | V |
FF | F | F |

1. 6+52+1 ≥30∥ 20+22==11
6+5/2+1≥30∥(20+2)/2==11
5.5+1≥30∥22/2==11
6.5≥30 ∥11==11
F∥V=F
2. 25+12+2≤302&&3022-1≥65*22...