Determinar a geratriz de cada dizima:0,41444...0,8235235....0,1235235.... Pergunta de ideia dePenhaFerreira1

PenhaFerreira1 @PenhaFerreira1

October 2020 1 258 Report

Determinar a geratriz de cada dizima:

0,41444...
0,8235235....
0,1235235....

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Eriivan Usando o método da equação pra determinar

$x=0,414444...*(100)\\100x=41,444....\\100x=41+ \frac{4}{9} \\
\\100x= \frac{373}{9} \\
\\900x=373\\
\\\boxed{x= \frac{373}{900} }$

$y=0,8235235...~*(10)\\10y=8,235235...\\
\\10y=8+ \frac{235}{999} \\
\\10y= \frac{8227}{999}\\
\\\boxed{y= \frac{8227}{9990} }$

$z=0,1235235...*(10)\\10z=1,235235...\\
\\10z=1+ \frac{235}{999} \\
\\10z= \frac{1234}{999} \\
\\\boxed{z= \frac{1234}{9990} }$

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