Ed.SM - 1º ESO - Matemáticas - Unidad 2 - Números enteros

Pg

1 ESO - MATEMTICAS - UNIDAD 2 (Nmeros enteros)

Pg.28 1a) + 9500 m

b) 3 C

d) 2

e) 20 m

f) 25

g) 570.

Pg.28 2a) 0

b) 0

c) 0.

Pg.28 3a) Stano 2

Planta baja

Piso 4

b) 2 C bajo cero

0 C

4 C

c) Deuda

Sin saldo

Disponible.

Pg.29 4

Pg.29 5

.Pg.29 6a)

b)

c)

d) .

Pg.29 7a)

b)

c)

d) .

Pg.29 8

.

Pg.30 9

.

Pg.30 10

.

Pg.30 11

.

Pg.30 12a) + 4 > ( 1

c) 0 < + 3

e) ( 2 < 0

b) ( 1 > ( 6

d) ( 8 < + 2

f) + 5 > ( 9.

Pg.30 13 y

.

Pg.30 14a) (11 C < (8 C < (5 C

b) 21 C < 28 C < 35 C c) (1 C < 0 C < 1 C

d) (8 C > (10 C > (13 C.Pg.30 15a) Mxima =

Mnima =

b) Variacin maxima =

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Pg.30 16LibrosVivos.NET

Pg.31 17a) + 9 + 3 = +12

c) ( 8 ( 2 = ( 10

b) ( 10 ( 5 = (15

d) ( 1 ( 4 = ( 5.Pg.31 18a) + 8 ( 3 = + 5

c) ( 7 + 4 = ( 3

b) ( 6 + 1 = ( 5

d) + 2 ( 5 = ( 3.Pg.31 19a) + 6 + 3 = + 9

c) ( 2 ( 1 = ( 3

b) + 5 ( 4 = + 1

d) + 3 ( 7 = ( 4.

Pg.31 20a) + 10 + 5 ( 3 = + 12

b) + 9 ( 3 ( 12 = ( 6

c) ( 13 + 8 + 7 ( 1 = + 1

d) + 6 ( 4 ( 3 + 8 = + 7.

Pg.31 21a) ( S.

b) ( S.

c) ( No.Pg.33 22

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Pg.33 23a)

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c)

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e)

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= . Pg.33 25a) ( 5 + 6 = + 1b) + 3 + 8 = + 11c) ( 12 ( (+6) = ((12)+((6) = (18

d) (+8) ( (+6) = +2

e) ((+2)((+5) = ((2)+((5) = (7.

Pg.33 26

Pg.33 27

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Pg.33 28a)

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b)

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c)

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d)

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e)

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c) (

b) (

d) ( .

Pg.33 30

3500 + 40 = 3.540 m.Pg.33 31

(

EMBED Equation.3 Pg.33 32De 23 septiembre 63 a.C. a 23 septiembre 14 d.C.

De 19 agosto 14 d.C. a 19 septiembre 14 d.C. 31 das

De 19 a 23 septiembre 14 d.C. 4 das (

Vivi 77 aos menos 35 das. ( 76 aos y 330 das.


Pg.34 34a)

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c)

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b)

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d)

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b)

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c)

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d)

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e)

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f)


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c)

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d)

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f)

EMBED Equation.3 .Pg.34 37a) ((4) (+ 6) = ( 24

d) ((10) (( 9) = ( 90

b) (+ 6) (+ 5) = + 30

e) (+ 5) (( 7) = ( 35

c) (+ 3) (+ 2) = + 6

f) (+ 9) (( 7) = ( 63.

Pg.34 38

( =.Pg.35 39a)

c)

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b)

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d)

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Pg.35 40a)

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c)

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d)

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f)

.

Pg.35 41a) (+49):(+7) = +7

b) ((30):((6) = + 5

c) (-35):(+7) =

d) ((8):((2) = +4

e) ((32):((8) = +4

f) (+42):((6) = ( 7

g) ((6):(+6) = ( 1

h) ((50):(+10) = (5.

Pg.35 42

D = d c ( d = D / c = (12) / ((4) = ( 3.Pg.35 43a)

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c)

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e)

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b)

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d)

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f)

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Pg.35 44Saldo del gasto = .

/ = =

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Pg.36 46a)

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b)

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Pg.36 47a)

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b)

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c)

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d)

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b)

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c)

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d)

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Pg.36 49a) ((5) (9 + ((4)( = ((5) (+5) = (25b) ((2) (5+((7)( = (10 + 14 = +4c) 9 8 = 9 (5 + 3) = 45 + 27 = 72

d) 3 (((6) + ((3)( = 3 ((6) + 3 ((3) = (18 ( 9 = (27.

Pg.36 50

( 28 = ((4) (+7) = ((4) (2 + 5).Pg.36 51

64 = ((8)(+8) = ((8) ( 1 + 2 + 5).

Pg.36 52

EMBED Equation.3

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La propiedad distributiva no depende de los signos de las cifras.

Pg.37 53a)

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b)

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b)

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c)

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d)

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e)

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g)

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EMBED Equation.3 .Pg.37 55a) ((5) 8 + ((5)((7) = ((5) (8 + ((7)( = ((5)(+1( = (1b) ((45) + 5(+11) = 5 (((9)+11( = 5 (+2( = +10c) 24 + 2((7) = 2 (12 + ((7)( = 2 (+5( = +10.Pg.37 56a)

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b)

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c)

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d)

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Pg.38 57a)

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c)

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e)

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f)

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g)

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Pg.38 58a)

b)

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c)

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e)

f)

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g)

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Pg.38 59a)

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b)

c)

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d)

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e)

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f)

g)

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h)

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Pg.38 60a) (((3) (5( + 8 = 0

b) (12 ((6 : ((3)( = 10

c) ((2)(+4) + ((2+ 4) = 6d) 4 + (5 + ((12):((12)( 3 = 22

e) ((5) (((4)( 2((7 + 1)( = (40.Pg.38 61LibrosVivos.NET

Pg.40 62a) ( 5 C

b) + 7.010 m

c) ( 300

d) ( 10.882 m

e) ( 518 m

f) ( 0.

Pg.40 63 B = ( 8 D = ( 6 A = ( 4 E = ( 3 F = 0 C = + 1.

Pg.40 64

Pg.40 65a) +3 y (3

b) +7 y (7

c) +12 y (12

d) 0.

Pg.40 66a)

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c)

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b)

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d)


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b)

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c)

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d)

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f)

EMBED Equation.3 .Pg.40 68a) ((4) = op(+4)

b) (2 = op(op((2(

c) 7 = op(op(+7)(

d) op((2) = (((2).

Pg.40 69a) Nmeros opuestos ( y ( (

b) Igual valor absoluto ( (

En ambos casos, los nmeros son y .

Pg.40 70

Anterior

Nmero

Siguiente

13

14

15

(6

(5

(4

(13

(12

(11

(11

(10

(9

(10

(9

(8.

Pg.40 71a) (5, (4, (3, (2, (1, 0

b) +2, +1, 0, (1, (2

c) (3, (2, (1, 0, +1

d) (7, (6, (5, (4.

Pg.40 72a)

b)

c)

d) .

Pg.40 73a)

b)

c)

d) .

Pg.40 74a) (2 > (7

b) (9 < +7

c) +2 > (4

d) +5 < +6.

Pg.40 75a)

b)

c) d) .Pg.40 761) > (2 y < 1 ( (1 y 0.2) No coincide con opuesto ( (1.

Pg.40 77a) (4 < < +4

b) (10 < < 0

c) (1 < < +5

d) 0 < < +7.Pg.41 78a)

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b)

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c)

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d)

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Pg.41 79

Resta

En forma de suma

Resultado

12 ( ((8)

12 + 8

20

((15) ( ((4)

((15) + 4

(11

12 ( 9

12 + ((9)

3

8 ( ((7)

8 + 7

15.

Pg.41 80a)

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b)

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c)

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d)

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e)

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f)


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b)

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c)

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d)

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e)

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f)

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Pg.41 82a)

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b) (

c) +

d) (.Pg.41 83a)

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Pg.41 84a)

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d)

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a b a+b a(b

a b

a : b

(15 3 (12 (18

(45

(5

18(6 12 24 (108

(3

112 (16 96(128 (1792 (7

(35 (7(42 (28

245

5.

Pg.41 86a) ((6)(op(6) = 0

c) 7 + ((1) = op((6)

b) op((15) ( 15 = 0

d) 3 + op(op((3)( = 0.Pg.41 87

a)

EMBED Equation.3

b)

EMBED Equation.3 c)

EMBED Equation.3 .

Pg.41 88a) ((3) 8 = (24

c) ((5) ((9) = +(5 9) = 45

b) ((16) 3 = (48

d) 7 ((6) = (42.

Pg.41 89a)

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c)

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b)

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d)

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Pg.41 90a) ((9) + 7 = (2

c) 39 : ((3) = (13

b) ((6) ((10) = 60

d) 4 ( ((1) = 5.

Pg.41 91a)

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b)

EMBED Equation.3 =

c)

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d)

EMBED Equation.3 =.

Pg.41 92a)

EMBED Equation.3 = b)

EMBED Equation.3 = c)

EMBED Equation.3 =.

Pg.41 93

( ( .

Pg.41 94

( Divisores = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.

.Pg.41 95

( ( Infinitas soluciones.

Ejemplo Pg.41 96a)

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b)

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c)

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d)

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Pg.41 97a)

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b)

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c)

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d)

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Pg.41 98a) 4 (7 + ((5() = 28 ( 20 = 8b) ((5)(((13) + 9( = 65 + ((45) = 20

c) ((2) (7+((3)( = ((14) + 6 = (8.

Pg.42 99a)

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b)

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c)

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d)

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Pg.42 100

a)

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b)

c)

d)

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Pg.42 101 a)

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c)

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b)

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Pg.42 102 a)

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b)

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c)

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d)

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e)

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f)

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g)

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i)

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Pg.42 103 a)

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c)

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e)

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g)

h)

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Pg.42 104 a)

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c)

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Pg.42 105 a) Incorrecta ( 21 ( (12 ( 8) = 21 ( 12 + 8

b) Correcta.

c) Incorrecta ( ((8 ( 6) + 10 = ((8) + 6 + 10.Pg.42 106 a) (-5)(7+ 2) = (45

b) ((12) : (9 (3) = (2

c) 4 (5 ( 2) 3 = 36

d) ?Pg.42 107 (

EMBED Equation.3 .

Pg.42 108

3.500 + 40 = 3.540 m.

Pg.42 109

753 + 476 = 1.229 aos.

Pg.42 110

Diferencia de latitudes, en valor absoluto = 40 + 58 = 98

Diferencia absoluta de latitudes = 58 ( 40 = 18 .

Pg.42 111

a) 5 + 6 + 6 + 7 + 3

b) 27 m.

Pg.42 112

+ 5 ( 7 + 10 + 4 ( 3 = 19 ( 10 = 9.

Pg.42 113

4 ( (8(2) = 4 ( 16 = (12 C

Pg.43 114

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Pg.43 115

a)

EMBED Equation.3 b)

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Pg.43 116

20 = 14 + 6 (

EMBED Equation.3 .

Pg.43 117

=.

Pg.43 118 Por (i) (

Si la (i) da La (ii) da Y la (iii) se cumple.

Y si la (i) da La (ii) de Y la (iii) no se cumple.

Se deduce, como vlida, la opcin c).

Pg.43 119

( (

( (

La suma de los cuatro es la opcin a).

Pg.43 120 Factores 1 fila ( ( 2, 7 y 7 (con los signos que sean)

Factores 3 fila ( ( 3, 5 y 5 (con los signos que sean)

Factores 1 columna ( ( 2, 2 y 5 (con los signos que sean)

Factores 3 columna ( ( 3, 5 y 7 (con los signos que sean).

El 0 tiene que estar en la casilla central.

La casilla comn a 3 fila y 3 columna ser un 5.


+2 7 +7 98

La casilla central de la 3 columna deber ser 3. +2 0 +3


5 +3 +5 75

Las casillas 1 y 2 de la 1 columna sern sendos 2

Y la casilla central de la 3 fila ser el otro 3.

20 105

Los signos se ajustan, fcilmente, por tanteo.

OJO. HAY SIETE SOLUCIONES DIFERENTES.Pg.43 121 Los 6 posibles productos son loa siguientes:

EMBED Equation.3

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El producto mayor corresponde a la opcin c).

Pg.43 1a)

b)

c) .

Pg.43 2

.Pg.43 3a)

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b) .

Pg.43 4a)

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EMBED Equation.3 c)

EMBED Equation.3 d)

EMBED Equation.3 Pg.43 5a)

EMBED Equation.3 b)

EMBED Equation.3 c)

EMBED Equation.3 d)


EMBED Equation.3

b)

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Pg.43 7a) =

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b) =

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c) =

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d) =

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Pg.43 8a)

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b)

EMBED Equation.3 c)

EMBED Equation.3 .1/10

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Ed.SM - 1º ESO - Matemáticas - Unidad 2 - Números enteros

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Transcript of Ed.SM - 1º ESO - Matemáticas - Unidad 2 - Números enteros