Números Racionales y Ecuaciones

Intoducción a las Matematicas

Evaluación Sumativa Unidad 1

En base a los contenidos revisados realicen en forma individual los siguientes ejercicios, posteriormente envíelos a su profesor para ser retroalimentados a través de la plataforma (enlace subir actividad práctica 1)

Números Enteros:

El valor de la expresión:

-5 x { 60 - 45 - 2 [ 25 - ( 243 : -9 x 2 + 7 - 5 ) + ( -32 + 18 - 20 ) + 80 : -4 ] + 19 }=

-5 x { 60 - 45 - 2 [ 25 - ( -27 x 2 + 7 -5) + ( -34 ) +( -20 ) ] + 19 }=

-5 x { 60 - 45 - 2 [ 25 - (-54 + 7 - 5 ) -34 - 20 ] + 19 }=

-5 x { 60 - 45 - 2 [ 25 - (-52) - 34 - 20 ] + 19 }=

-5 x {60 - 45 - 2 [ 25 + 52 - 34- 20 ] + 19 }=

-5 x { 60 - 45 -2 [23] +19}=

-5 x {60 - 45 -46 +19}=

-5 x {-12}= 60

Números Racionales:

Calcule las siguientes expresiones

= (-17/4) - [ ( (5/10)+(12-1/90) ) : ( (17-1/9) - (8/10) ) x (11/9) ] + (1 / 3) x (37/6) =

= (-17/4) - [ ( (45+11/90) ) : ( (160 - 72 / 90) x (11/9) ) ] + (1 / 3) x (37/6)=

= (-17/4) - [ (56/90) : (88/90) x (11/9) ] +(1 / 3) x (37/6)=

= (-17/4) - [ ( (56/90) :2 ) : ( (88/90):2 ) x (11/9) ] + (1 / 3) x (37/6)=

= (-17/4) - [ (28/45) : (44/45) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ (1260/1980) :100 ) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ ( 126/198 ) :2 ) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ ( 63/99 ) :3 ) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ ( 21/33 :3 ) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ (7 / 11) x (11/9)] + (1 / 3) x (37/6)=

= (-17/4) - [ ( ( 77/99 ):11) ] + (1 / 3) x (37/6)=

= (-17/4) - ( 7/9 ) + (1 / 3) x (37/6)=

= (-17/4) - ( 7/9 ) + ( 37 / 18)=

= ( -153 - 28 +74 /36)= -107/36

m.c.m 10,90= 90 m.c.m 4 ; 9; 18= 36

=

(66/61) - (1/5) x { ( (1/4)+(3/8) ) : [ (25/4) x ( (3/10) -(2/25) )+(12/5 ) x ( (2/3)-(15/8) ) ] }=

(66/61) - (1/5) x { ( (2+3/8) ) : [ (25/4) x (15-4/50) + (12/5 ) x (16-45/24) ] }=

(66/61) - (1/5) x { (5/8) : [ (25/4) x (11/50) + (12/5 ) x (-29/24) ] }=

(66/61) - (1/5) x { (5/8) : [ ((275/200):5) + ( (-348/120):2) ] }=

(66/61) - (1/5) x { (5/8) : [ ((55/40):5) + ( (-174/60):2) ] }=

(66/61) - (1/5) x { (5/8) : [ (11/8) + (-87/30) ] }=

(66/61) - (1/5) x { (5/8) : [ (11/8) - (87/30) ] }=

(66/61) - (1/5) x { (5/8) : [ (165-348/120) ] }=

(66/61) - (1/5) x { (5/8) : [ ((-183/120):3) ] }=

(66/61) - (1/5) x { (5/8) : (-61/40) }=

(66/61) - (1/5) x {((-200/488):2) }=

(66/61) - (1/5) x {((-100/244):2) }=

(66/61) - (1/5) x {((-50/122):2) } =

(66/61) - (1/5) x (-25/61) =

(66/61) - ((-25/305):5) =

(66/61) - (-5/61) = (71/61)

m.c.m 10 ;25 = 50 m.c.m 3 ; 8 =24 m.c.m 4 ; 8 = 8 m.c.m 8 ; 30 = 120 m.c.m 61 ; 5 ; 61=305

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