Question

resolva a geratriz

a) 1,521111...

b) 3,222...

c) 1,4555...

d) 0,35222...

e) 2,14545...

Answer 1

A) 1,52111...
100x= 152,111...
1000x= 1521,111...
1000x-100x= 152,11... - 1521,111...
900x= 1369
x= 1369/900

B) 3,222...
10x= 32,222...
10-x= 32,222... - 3,222...
9x= 29
x= 29/9

C) 1,4555...
10x= 14,555...
100x= 145,555...
100x-10x= 145,555... - 14,555...
90x= 131
x= 131/90

D) 0,35222...
100x= 35,222...
1000x= 352,222...
1000x-100x= 352,222... - 35,222...
900x= 317
x= 317/900

E) 2,1454545...
10x= 21,454545...
1000x= 2145,454545...
1000x-10x= 2145,454545... - 21,454545...
9990x= 2124
x= 2124/9990

Espero ter ajudado