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. SOLUCIÓN GUÍA N°1:OPERACIONES COMBINADAS y APLICACIÓN DE N° NATURALES Y ENTEROSI. PARTE I:Realiza las siguientes operaciones con limpieza y en orden en tu cuaderno, condesarrollo paso a paso y con resultado final.1. Tipo de dificultad: FÁCILa) -65 + 13 =-52 b) 6 - (-23) = 6 + 23 = 29 c) -2 + (-3) = -2 – 5 = -7d) (-12) × (-3) × 5 = 36 x 5 = 180 e) 45 : (-5) =-9 f) 3 - 2 + 9 - 7 = (3 + 9) + (-2 - 7) = (12) + (-9) = 3g) 3 - 2 × 5 + 7 × 4 = 3 – 10 + 28 = (28 + 3) - 10= 31 – 10 = 21h) 7 + (4 - 5) - (-89) = 7 + (-1) + 89 = (89 + 7) + (-1) = 96 – 1 = 95i) 4 - 3 + 7 - 2 = (4 + 7) + (-3 - 2) = (11) + (-5) = 11 – 5 = 6j) (-3) × (-2) + 7 = 6 + 7 = 13 k) 3 + 4 × 5 = 3 + 20 = 23l) 9 − 7 + 5 + 2 − 6 + 8 − 4 = (9 + 5 +2 +8) + (-7 - 6 - 4) = (24) + (-17) = 7m) (-1) × 7 + (2 - 5) = -7 + (-3) = -10 n) 4 : 2 - (3 + 1) = 2 – (4) = -2ñ) 13 - (4 + 8) - 3 × 5 = 13 – (12) – 15 = 13 – 27 = -14o) [21 : (7 × 3)] + 4 × (5 - 1) = [21 : (21)] + 4 x (4) = [1] + 16 = 17p) 7 - 7 - [(2 × 3) : (3 × 2)] = 0 – [(6) : (6)] = - [1] = -1q) -3 - 2 × [-9 × (5 - 4) - (-6)] = -3 – 2 x [-9 x (1) + 6] = -3 – 2 x [-9 + 6] = -3 – 2 x [-3] = -3 + 6 = 3r) -3 + 3 × (5 - (-4)) = -3 + 3 x (5 + 4) = -3 + 3 x (9) = -3 + 27 = 24s) 11 × 5 - 6 × 11 = 55 – 66 = - 11
2. 2. Tipo de dificultad: FÁCIL - MEDIOa)1 - 5 × 4 = 1 - 20= -19 b)3 + 4 : 2 = 3 + 2 = 5 c)1 + 4 × (3 + 2) = 1 + 4 X (5) = 1 + 20 = 21d)5 × 4 - (1 + 2) = 20 – 3 = 17 e)18 - [(3 + 6 + 9) : (9 - 6)] = 18 – [(18) : (3)] = 18 – [6] = 12f)[(55 - 10) - (3 × 6 × 9)] : (-3) =[(45) – (162)] : (-3) = [-117] : (-3) = 39h)10 : 2 + 5 · 3 + 4 − 5 · 2 − 8 + 4 · 2 − 16 : 4= 5 + 15 + 4 – 10 – 8 + 8 – 4 = 20 – 10 = 10i)*15 − (8 − 10 : 2 )+ · *5 + (3 ·2 − 4 )+ − 3 + (8 − 2 · 3 )= [15 – (8 - 5)]·[5 + (6 - 4)] – 3 + (8 - 6)= [15 – (3)]·[5 + (2)] – 3 + (2) = [12]·[7] – 3 + (2) = 84 – 3 + 2 = 86 – 3 = 83j)14 − ,7 + 4 · 3 - [4 · 2 - 6]} + (4 + 6 - 5 · 3) + 3 - (5 - 8 : 2)== 14 − ,7 + 12 - [8 - 6)]} + (4 + 6 - 15) + 3 - (5 - 4)= 14 − ,7 + 12 - [2]} + (10 - 15) + 3 - (1)= 14 − ,19 - [2]} + (-5) + 2 = 14 − ,17-+ (-5) + 2 = (14 + 2) + (-17 - 5) = (16) + (-22) = -6k)27 + 3 · 5 – 16 = 27 + 15 – 16 = 42 – 16 = 26l)27 + 3 – 45 : 5 + 16 = 30 – 9 + 16 = (30 + 16) – 9 = 46 – 9 = 37m) (2 · 4 + 12) (6 − 4) = (8 + 12)(2) = (20)(2) = 40n)3 · 9 + (6 + 5 – 3) – 12 : 4 =27 + (8) – 3 = 35 – 3 = 32ñ)2 + 5 · (2 · 3) = 2 + 5 · (6) = 2 + 30 = 32o)440 − *30 + 6 (19 − 12)+= 440 – [30 + 6 (7)]= 440 – [30 + 42] = 440 – [72] = 368p)2,4 *7 + 4 (5 · 3 − 9)+ − 3 (40 − 8)- = 2,4 *7 + 4 (6)+ − 3 (32)} = 2,4 *7 + 24+ − 92}= 2,4 *31+ − 92} = 2,124− 92} = 2{32} = 64r) 5 − *6 − 2 − (1 − 8) − 3 + 6+ + 5 = 5 − *4 − (-7) + 3] + 5 = 5 − *4 +7 + 3] + 5= 5 − *14] + 5= 10 – 14 = -4
3. II. Realiza las siguientes operaciones con limpieza y en orden en tu cuaderno, con desarrollo paso apaso y con resultado final.Tipo de dificultad: FÁCIL – MEDIOs)9 : *6 : (− 2)+ = 9 : [-3] = -3t)8 + 10 : 2 + 5 • 3 + 4 − 5 • 2 − 8 + 4 • 4 − 16 : 4 = 8 + 5 + 15 + 4 − 10 − 8 + 16 − 4 == (8 + 5 + 15 + 4 +16) + (-10 -8 -4) = (48) + (-22) = 261) 3 + 5 – 5 + 3 – 9 + 12 = 18 – 9 = 92) 5 – 4 + 9 + 2 – 2 – 3 – 7 – 12 – 4 = 14 – 30 = -163) 3 + 2 + 7 – 12 – 6 – 3 + 5 = 17 – 21 = -44) – 3 + 4 + 7 + 6 - 4 – 1 = 17 – 8 = 95) [- (3 + 2) – (5 + 4 - 3)] = [- (5) – (6)] = [- 5 - 6] = - 116) – 4 + [(3 – 9) – (-4 – 2) + 3] = - 4 + [(-6) – (-6) + 3] = -4 + [-6 + 6 + 3] = -4 + [3] = -17) – 5 – [(-5 – 4) – (-5 + 2)] = -5 – [(-9) – (-3)] = -5 – [-9 + 3] = -5 – [-6] = -5 + 6 = 18) -4 + [-(-4 + 9) + (-4 – 2)] = -4 + [-(5) + (-6)] = -4 + [-5 - 6] = -4 + [-11] = -4 – 11 = -159) -4 – {5 + [4 – (7 + 4 - 4)]} = -4 – {5 + [4 – (7)]} = - 4 – {5 + [-3]} = - 4 – {3} = -710) 3 + {3 – 6 – [9 + 12 – (4 + 9)]} = 3 + {- 3 – [21 – (13)]} = 3 + {- 3 – [8]} = 3 + {-11} = -811) 4 + {4 – 9 – [9 + 4 – (3 + 6) - 5] + 3} =4 + { – 5 – [13 – (9) - 5] + 3} =4 + {- 5 - [-1] + 3}= 4 + {- 5 + 1 + 3} = 4 + {-1} = 3
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