Ariketen soluzioak:

  142. 12
   2 1        20 20 1        5 1                  18 9           5 1
a) =      b)     =  =    c)   =              d)     =       e)     =
   4 2       60 60 3        15 3                  22 11          25 5
    6 2        21 3      22 2
f)    =    g)     =   h)    =
   27 9        28 4      33 3

14
   3 6                          30           9 18
a)   = 3·x=5·6 x=                = 10 b) =        18 · x = 9 · 8
   5 x                           3           x 8
       72          5 2                         30
 x=      = 4 c) =  2 · x = 5 · 6  x =          = 15
       18          x 6                          2
    x 15                              150
d)    =      x · 50 = 10 · 15  x =      =3
   10 50                               50

143. 20
        4                             4
Anek     €                                  4 5
        5                             5
Maiderrek  0’ 75 €                                0 ‘ 8 > 0 ‘ 75

Zein da garestiena?         Anerena garestiagoa da

34
3                              5 3 2
  atera                         − = geratzen dira eta zati hau  14 €
5                              5 5 5
                               1                          5
14 € geratzen dira                14 : 2 = 7 €  guztia ( ) 7 · 5 = 35 €
                               5                          5
155. 5
      1   4                3 5                13 11                 17 11
a)      +             b)     +          c)       −            d)       −
     10 15                 8 12               12 18                 20 30
     3    8                9 10                39 22                51 22
        +                     +                   −                    −
    30 30                  24 24               36 36                60 60
       11                    19                  17                   29
       30                    24                  36                   60
              23 19                   15 10
         e)      −               f)      +
              20 30                   28 21
              69 38                   45 40
                 −                       +
              60 60                   84 84
                31                      85
                60                      84
9
         1 4 1 4 1               5 6 5 30 5                 4     4 9 36
a) 4 ⋅    = ⋅ = =          b) 6· = · =    =            c)     ·9 = · =   = 12
         8 1 8 8 2              12 1 12 12 2                3     31 3
2 3 2   6 2                 5      5 12 60              4     4 3 12 4
d) 3· = · =    =             e)     ·12 = · =    = 10    f)     ·3 = · =  =
     15 1 15 15 5                 6      6 1   6              9     91 9 3

11
       5 1 5 6                      3 1 3 8              1     1 3 1
a)    1:= : =              b)     1: = : =    c)           :3 = : =
       6 1 6 5                      8 1 8 3              3     3 1 9
       3 5 3 20                      6 3 6 15 5                 4     4 8 4   1
d)   5: = : =                e)    3: = : =  =             f)     :8 = : =  =
       4 1 4 3                       5 1 5 6 2                  5     5 1 40 10

156. 15
   1  1 1                1 1 1               4 5              1  2 3
a) · +             b)      : −        c) 2· −             d)     : − 
   5  2 3                4  2 4              3 6             10  3 5 
   1  3 2                1 2 1              8 5              1  10 9 
     · +                   : −            2· −                  : − 
   5 6 6                 4  4 4             6 6             10  15 15 
15 6 1                    1 1 4               3 6                  1 1 15 3
  · =     =                 : = =1          2· = = 1                 : =    =
5 6 30 6                  4 4 4               6 6                 10 15 10 2
    3 1 1                      7 1 2
e) · −                       f) :  + 
    4 3 9                      9 6 9
   3 3 1                       7 3 4
     · −                         : + 
   4 9 9                       9  18 18 
   3 2  3·2                     7 7  7·2·9 
     ·                              :
   4 9  2·2·3·3 
                                9 18  9·7 
                                             
    6 1                           126 42
       =                              =   =2
   36 6                            63 21

157. 25
 Datu Taula
                1            1 1 2 3 6    4 13
     1. astea                + + = + +    =
                6            6 3 9 18 18 18 18
                1
     2. astea 
                3
                2             18 13 5
     3. astea                  − =    geratzen zaio
                9             18 18 18
     Zer ZATI geratzen       zaio?

31
 Datu Taula
         2                             2 1   21 2    1
Gauez                                  en  · =   =
         5                             5 4   5 4 20 10
Manenimenduan
            1
Aurrekoaren
            4
Zer ZATI mantenimenduan?

Zatiki Soluzioak

  • 1.
    Ariketen soluzioak: 142. 12 2 1 20 20 1 5 1 18 9 5 1 a) = b) = = c) = d) = e) = 4 2 60 60 3 15 3 22 11 25 5 6 2 21 3 22 2 f) = g) = h) = 27 9 28 4 33 3 14 3 6 30 9 18 a) = 3·x=5·6 x= = 10 b) =  18 · x = 9 · 8 5 x 3 x 8 72 5 2 30  x= = 4 c) =  2 · x = 5 · 6  x = = 15 18 x 6 2 x 15 150 d) =  x · 50 = 10 · 15  x = =3 10 50 50 143. 20 4 4 Anek  €  4 5 5 5 Maiderrek  0’ 75 € 0 ‘ 8 > 0 ‘ 75 Zein da garestiena? Anerena garestiagoa da 34 3 5 3 2 atera  − = geratzen dira eta zati hau  14 € 5 5 5 5 1 5 14 € geratzen dira  14 : 2 = 7 €  guztia ( ) 7 · 5 = 35 € 5 5 155. 5 1 4 3 5 13 11 17 11 a) + b) + c) − d) − 10 15 8 12 12 18 20 30 3 8 9 10 39 22 51 22 + + − − 30 30 24 24 36 36 60 60 11 19 17 29 30 24 36 60 23 19 15 10 e) − f) + 20 30 28 21 69 38 45 40 − + 60 60 84 84 31 85 60 84 9 1 4 1 4 1 5 6 5 30 5 4 4 9 36 a) 4 ⋅ = ⋅ = = b) 6· = · = = c) ·9 = · = = 12 8 1 8 8 2 12 1 12 12 2 3 31 3
  • 2.
    2 3 2 6 2 5 5 12 60 4 4 3 12 4 d) 3· = · = = e) ·12 = · = = 10 f) ·3 = · = = 15 1 15 15 5 6 6 1 6 9 91 9 3 11 5 1 5 6 3 1 3 8 1 1 3 1 a) 1:= : = b) 1: = : = c) :3 = : = 6 1 6 5 8 1 8 3 3 3 1 9 3 5 3 20 6 3 6 15 5 4 4 8 4 1 d) 5: = : = e) 3: = : = = f) :8 = : = = 4 1 4 3 5 1 5 6 2 5 5 1 40 10 156. 15 1  1 1 1 1 1  4 5 1  2 3 a) · +  b) : −  c) 2· −  d) : −  5  2 3 4  2 4  3 6 10  3 5  1  3 2 1 2 1 8 5 1  10 9  · +  : −  2· −  : −  5 6 6 4  4 4 6 6 10  15 15  15 6 1 1 1 4 3 6 1 1 15 3 · = = : = =1 2· = = 1 : = = 5 6 30 6 4 4 4 6 6 10 15 10 2 3 1 1 7 1 2 e) · −  f) :  +  4 3 9 9 6 9 3 3 1 7 3 4 · −  : +  4 9 9 9  18 18  3 2  3·2  7 7  7·2·9  · : 4 9  2·2·3·3    9 18  9·7    6 1 126 42 = = =2 36 6 63 21 157. 25 Datu Taula 1 1 1 2 3 6 4 13 1. astea  + + = + + = 6 6 3 9 18 18 18 18 1 2. astea  3 2 18 13 5 3. astea  − = geratzen zaio 9 18 18 18 Zer ZATI geratzen zaio? 31 Datu Taula 2 2 1 21 2 1 Gauez  en  · = = 5 5 4 5 4 20 10 Manenimenduan 1 Aurrekoaren 4 Zer ZATI mantenimenduan?