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8/15/2019 ejercicios 8º 1P
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UNIDAD EDUCATIVA " GEORGE MASON "
EJERCICIOS PRIMER BLOQUE OCTAVO GRADO
7 al 11 de Septiembre de 2015
1.- Suma de enteros del mismo signo 2.- Suma de enteros de diferente signo
(+56) + ( +28) = 56 + 28 = 84 ( - 45 ) + ( +56 ) = - 45 + 56 = 11
(+53) + ( +67) = (+231) + ( -65) =
(+47) + ( +143) = (+345) + ( -97) =
(+87) + ( +95) = (+156) + ( 00) =
(+101) + ( +243) = (+129) + ( -129) =
( -75) + ( -56 ) = (+395) + ( -452) =
( -65) + ( -97 ) = (-256) + ( +234) =
( -164) + ( -322 ) = (+832) + ( -832) =
3.- Resta de números enteros
(-19) - ( +22) = -19 - 22 = - 41 ( +44 ) - ( -23 ) = 44 + 23 = 67
(-35) - ( +57) = (+64) - ( -51) =
(-54) - ( +93) = (+143) - ( -68) =
(-213) - ( +99) = (+151) - ( -262) =
(-143) - ( +128) = (+146) - ( -78) =
(-72) - ( +73) = (+17) - ( -157) =
(-93) - ( +173) = (+73) - ( -91) =(-113) - ( +117) = (+336) - ( -336) =
(-81) + ( +79) =
11 + ( - 91) = 49 + 0 =
18 + ( +43) = (+37) + ( -85) =
( -55) + ( +55 ) =
(-19) - ( -36) =
( -10) + 27 = (-14) - 34 =
37 + ( -59 ) =
13 - 8 = 19 + ( - 83 ) =
0 + ( +22) =
−28+90=
−18+18=
−70−70=
−15−9=
−53−(−28 )=
−25−(−25)=
−50−(−67 )=
−91−(−34 )=
−41−(−41 )=−130−(−180 )=
−21+(−8 )=
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57 + ( + 26 ) =
4.- suma y resta combinadas de números enteros
( +6 ) - ( -12 ) + ( -15 ) + ( +3 ) + ( - 14 ) - (+4 ) = 6 + 12 -15 + 3 - 14 - 4 = 21 - 33 = - 12( -17 ) + ( -9 ) - ( +6 ) - ( -21 ) + ( -5 ) + (+15 ) =……………………………………………….
( +24 ) - ( -32) + ( -17 ) + ( -13 ) - ( +42 ) - ( -8 ) =………………………………………………
(+ 29 ) - ( +34 ) + ( +31 ) - ( - 16 ) - ( + 30 ) =…………………………………………………
( +56 - 82 ) + ( - 13 + 13 ) - ( +38 + 12 ) = ……………………………………………………
( -28 ) - ( -18 ) - ( -24 ) + ( -19) + ( +31 ) - ( -6 ) =…………………………………………………
( +52 ) + ( -11 ) + ( -18 ) - ( +9 ) + (+50 ) =………………………………………………
( +20) + ( -23) + ( +23 ) + ( -20 ) + ( +9 ) - ( -5 ) =…………………………………………………
( +67 + 19 -46 - 8 ) - ( +136 - 98 -175 + 9 )=…………………………………………………
( - 39 + 72 -16 +9 ) - ( + 9 + 64 -240 -57)=……………………………………………………
( +23 + 82 -90 -49 ) - ( +122 + 66 - 55 -81 )=……………………………………………….
( - 44 - 90 - 88+ 173 + 33 - 45 ) - ( +22 - 16 ) =………………………………………………
( -111 ) + ( +55 -76 + 41 + 29 - 14 - 91 + 4 )=………………………………………………
5.- Operaciones combinadas con signos de agrupación
{125 - [ 258 -249 + ( 64 -133 )+42 ! = 59- { 78+ [ ( 56 -198) - ( 23 -23 ) +57 ! =
…………………………………………. ……………………………………………….
…………………………………………. ……………………………………………….
…………………………………………. ……………………………………………….
(-10) - { [- (3+2) +(-4) ! - {( -1) + [ (-4+1) != 17+{ - 31+ [15 - (18-7) - 4 !=
………….…………………………………….. ………………………………………………..
…………….………………………………….. ………………………………………………..
…………….………………………………….. ………………………………………………..
(-35 )+ (-16) + (- 29) = (- 63) + (-31) + 10 =
………………………………………………… ………………………………………………..………………………………………………… ………………………………………………..
………………………………………………… ………………………………………………..
-36 + (-19 ) + (- 49 ) = (-39)+ 57 - (- 95)+ (- 49 ) - 16 =
………………………………………………… ………………………………………………..
………………………………………………… ………………………………………………..
………………………………………………… ………………………………………………..
(-10) + 50 + 12 - (-18) = (-12) + 14 + (-20) + (-8) +14 + 80 =
…………………………………………………. …………………………………………………
…………………………………………………. …………………………………………………
−46+100=
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…………………………………………………. …………………………………………………
12 - [ 2+ (- 4 - 3) - (- 4 + 2) + 4 = 5 + [7 - (8 + 4) + 6 - 3 + (8 - 9) =
3- { 9+ [ (-15) - (-8) -17 !+ [8 - (- 9 ) = 47 + {47 - (-47) + 47 - [(-47) - (-47) !=
{4 + [8 - (5 - 2) + (7 - 3) + [-3 - (-8) + 3 ! = 7 + {-3 + [5 - (8 + 3) - 4 ! =
3- [(3 - 4) + 5 - (7+ 8) - (15 - 14) + (7 - 8) = 4- [-6 - (-2 + 9 - 4) - 7 + 6 =
5 " {-4 - [(-3) + (-8) - (-9 + 4) + 8! + 15 = (-8 + 7) + [-3 + (-5 - 6) + (-2 - 4) =
{ [-(3 + 2) + (- 4)! - {( -1) + [- (- 4+1) != [-8 - 10 - (-3 + 15 - 2) + (-8 - 13) + 2 =
8 - [-3 + [(8 - 7) - (6 + 1) + (5 - 7) + 5 ! = 5+ {18 - [(-34 + 28) - ( 16 - 27) -3 + 5 ! =
-10 - 4 - [-10 + 16 - (3 + 2 - 5) + 3 " 2 =
1 - [(17+20) - 5 + [- 4 + (4 - 3)= 26 - {(-32) - 129 + (-24) - (-12 + 20)! =
25 " {18 + [(-9 + 13) - 11 + (14 " 3 ) ! = (36 - 24) + {- [ 4 + (-1 - 6) - 7 " 50! " 18 =
-2 " { -2 –[-2 - (-2 - 2) - 2 - (-2 - 2) " 2 =
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{ 5 + [2 - (7 - 9) + 8 " 3! + (16 - 9) + 5 = {- [- (15 + 10) + (-20) ! + {5 + [(-20 + 5) ! =
14 al 18 de #eptiembre de 2015
.-!roducto de enteros del mismo signo ".- !roducto de enteros de diferente signo
(+12 ) ( +9 ) = ( -15 ) ( +6 ) =
( -11 ) ( -12) = ( +12 ) ( -9 ) =
(+7 ) ( +13 ) = ( -23 ) ( +11) =
( -14 ) ( -10 ) = ( +33 ) ( -5 ) =
( +21) ( +9 ) = ( -39 ) ( +20 ) =
( -7 ) ( -25 ) = (+45 ) ( -10) =
(+17 ) ( +9 ) = ( -27 ) ( +8 )=
( -35) ( -15 ) = ( -82 ) ( +44 ) =
( +40 ) ( +14 ) = ( +30 ) ( -80 ) =
( -30 ) ( -45 ) = ( -17 ) ( + 15 ) =
#.- Resol$er los siguientes productos
( +6) ( -5 ) ( -6 ) ( +4 ) (+1 ) =……………………………………………………………..
( -9 ) ( -2 ) ( +7 ) ( -5) ( -4) =……………………………………………………………..
( +12) ( -5 ) ( -1 ) ( -5 ) ( +2 ) =……………………………………………………………….
( -72 ) ( 0 ) ( +19 ) ( -6 ) ( -1 ) =…………………………………………………………….
( -7) ( 1 0 ) ( -2 ) ( -2 ) ( -2 ) =……………………………………………………………
( -1 ) ( -12 ) ( 40 ) ( - 4) ( -2 ) =………………………………………………………………..
(- 2 ) ( +13 ) ( - 5 ) ( + 4 ) ( + 1 ) =…………………………………………………………….
( - 29 ) ( - 16 ) ( 0 ) ( + 9 ) ( - 4 ) =…………………………………………………………….(+23 ) ( +2 ) ( +1 ) ( - 4 ) ( + 5 ) =…………………………………………………………….
( -2 ) ( -10 ) ( -4 ) ( +5 ) ( -6) =……………………………………………………………
( -6 ) ( -15 ) ( -3 ) ( - 40 ) ( - 3 ) =………………………………………………………………
(-12 ) ( +12 ) ( - 50 ) ( + 20 ) ( + 1 ) =…………………………………………………………
%.-Resol$er las siguientes multiplicaciones con signos de agrupación
{ [ ( +4 ) ( -6 ) ( -4 ) ! ( +6 ) =
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( -5 ) { -8 [ -4 ( -2 ) ( +5 ) ! =
( -5 ) { [ ( -10 ) ( +12 ) ( -7 ) ! ( -2 ) =
[ ( -8) ( 10 ) ( -8 ) [ ( -8 ) ( -2 ) =
1&.- !roducto de un entero por una suma algebraica.
( - 6) ( 4 - 5 +13 - 2 ) =
( - 7 ) ( - 6 + 9 - 8 + 14 ) =
( 4 ) ( 10 + 15 - 27 + 6 ) =
( 3a ) ( - 6 + 8+ 4 - 15 ) =
( -a ) ( - 13 -12 +10 + 9 ) =
11.- !roducto de dos sumas algebraicas.
( - 3 +9 ) ( 5 -17 - 5 ) =
( 8 + 25 ) ( - 5 + 5 -10 ) =
( 12 +27 ) ( - 5 + 9 - 4 ) =
( -5 + 12 ) ($ -% + &) =
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[ ( +4 ) (- 2 ) ( -8 ) ' 4 = ( - 30 - 80 + 70 - 40 + 110 ) ' 10 =
[ ( - 2 ) ( - 8 ) ( - 7 ) ( - 3) ' ( - 8 ) = ( -7 + 21 - 56 -28 + 14 ) ' ( -7 ) =
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