Determine as geratrizes das dizimas abaixo
A)3,151515....
B)0,05222.....
C)0,007007007....
D)-2,4777....
_
E)0,8
F)-0,02333....
G)0,1444....
_
H)1,4213
I)2,7525252....
J)0,133....
Por favor e obrigada!
Respostas
Resposta:
A)
a=3,151515....
100a =315,15...
100a-a =315-3
99a=312
a=312/99
B)
a=0,05222.....
100a=5,2222...
1000a=52,2222
1000a-100a =52-5
900a=47
a=47/900
C)
a=0,007007007....
100a=0,7007007..
100000a=7,007007...
100000a-100a =7
a=7/99900
D)
a=-2,4777....
10a=-24,7777...
100a=-247,777...
100a-10=-247+24
90a=-223
a=-223/90
E)
0,8=8/10
0,8888..=8/9
F)
a=-0,02333....
100a=-2,333...
1000a=-23,333..
1000a-100a =-23+2
900a=-21
a=-21/900
G)
a=0,1444....
10a=1,444..
100a=14,44..
100a-10a=14-1
90a=13
a=13/90
H)
a=1,4213...
10000a=14213,4213...
100000000a =142134213,4213...
100000000a - 10000a =142134213- 14213
99990000 a = 142120000
a=142120000/99990000
I)
a=2,7525252....
10a=27,5252..
1000a=2752,5252...
1000a-10a =7752-27
990a =2725
a=2725/990
J)
a=0,133....
10a=1,3333..
100a=13,333..
100a-10a=13-1
90a=12
a=12/90