Question

1- Encontre a fração geratriz das dízimas periódicas simples a seguir: A) -2,4444...
B) 0,11111...
C) 17,8888...
D) -6,353535...
E) 0,292929...
F) 2,102102102...

2- (UFPI) Marque a alternativa que contém o valor da expressão numérica 1,88888... + 1/9

A)33/50 B)10/9 C)10/19 D)2 E)7/55​

Answer 1

Explicação passo-a-passo:

$\begin{gathered}\boxed{\begin{array}{l}\rm (UFPI)~Marque~a~alternativa~que~cont\acute em\\\rm o~valor~da~express\tilde ao~num\acute erica~\\\sf 1,888....+\dfrac{1}{9}\\\tt a)~\sf\dfrac{33}{50}\\\\\tt b)~\sf\dfrac{10}{9}\\\\\tt c)~\sf\dfrac{10}{19}\\\\\tt d)2\\\\\tt e)~\sf\dfrac{7}{55}\end{array}}\end{gathered}\bf~Alternativa~~ C) ❤$

Alternativa Correta e letra C)

2) ↓

$\begin{gathered}\large\boxed{\begin{array}{l}\underline{\rm soluc_{\!\!,}\tilde ao\!:}\\\sf x=1,888....\cdot10\\\sf 10x=18,888....\\-\underline{\begin{cases}\sf10x=18,888...\\\sf x=1,888...\end{cases}}\\\sf 9x=17\\\sf x=\dfrac{17}{9}\\\sf 1,888...+\dfrac{1}{9}=\dfrac{17}{9}+\dfrac{1}{9}\\\\\sf 1,888...+\dfrac{1}{9}=\dfrac{18}{9}=2\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~D❤}}}}\end{array}}\end{gathered}$

Alternativa D)

Espero que tenha ajudado

Answer 2

Resposta:

Explicação passo a passo: