Respostas
Resposta:
01)
A cada número diferente depois da vírgula é 10x.
a) 0,525252...
x = 0,525252...
100x = 100 . 0,525252...
100x = 52,5252...
-x 0,5252...
99x = 52,0000....
x = 52
99
b) 0,666...
x = 0,666...
10x = 10 . 0,666...
10x = 6,666...
-x 0,666...
9x = 6,000
x = 6 = 2
9 3
c) 0,32444...
x = 0,32444...
100x = 32,444...
1000x = 324,444...
1000x = 324,444...
100x 32,444...
900x = 292,000
x = 292 = 146 = 73
900 450 225
d) 5,241241241...
x = 5,241241241
1000x = 1000 . 5,241241241
1000x = 5241,241241...
-x = 5,241241...
999x = 5236,000000
x = 5236
999
e) 0,48121121121...
x = 0,48121121121...
100x = 100 . 0,48121121121...
100x = 48,121121121...
100000x = 100000 . 0,48121121121...
100000x = 48121,121121...
-100x 48, 121121...
999900x = 48073,000000...
x = 48073
999900
f) 34,212121...
x = 34,212121...
100x = 10 . 34,212121...
100x = 3421,2121...
-x 34,2121...
99x = 3387,0000
x = 3387 = 1129
99 33
g) 5,131131131...
x = 5,131131131...
1000x = 1000 . 5,131131131
1000x = 5131,131131...
-x 5,131131...
999x = 5126,000000
x = 5126
999
h) 0,643777...
1000x = 1000 . 0,643777...
1000x = 643,777...
10000x = 6437,777...
-1000x 643,777...
9000x = 5794,000
x = 5794 = 2897
9000 4500
02)
Número | Nº Naturais | Nº Inteiros | Nº Racionais | Nº Irracionais | Nº Reais |
81/80 x x
-25 x x
1/10 x x
0,20202020... x x
0,202002000... x x
2,44 x x
-3,727227222... x x
269 x x x
0 x x x
-927 x x