Question

de a representação decimal dos seguintes números racionais 0,333...;0,1666...;0,242424...;0,125777...

Answer 1

0,333...
x=0,333...
10x=3,333...
10x-x=3,333...-0,333..
9x=3
x=3/9
x=1/3

0,1666...
x=0,166666...
10x=16,6666...
100x=166,666...
100x-10x=166,666...-16,666...
90x=150
x=150/90
x=15/9
x=5/3

0,242424...
x=0,242424...
100x=24,242424...
100x-x=24,242424...-0,242424...
99x=24
x=24/99
x=8/33

0,125777...
x=0,125777...
1000x=125,777
10000x=1257,7777...
10000x-1000x=1257,777...-125,777...
9000x=1132
x=1132/9000
x=283/2250