Question

fraçao que mostrem a equivalencia entre os numeros 1,7 e 1,6999 ?

0,9 e 0,8999 ? 

3 e 2,9999 ?

0,44 e 0,439999 

Answer 1

Olá, Juan.

$1,6999...=\frac{16,999...}{10}=\frac{1}{10}\cdot(16+0,999...)=\frac1{10}\cdot(16+\frac99)=\frac{17}{10}=1,7$

$0,8999...=\frac1{10}\cdot8,999...=\frac1{10}\cdot(8+0,999...)=\frac1{10}\cdot(8+\frac99)=\\=\frac{1}{10}\cdot(8+1)=\frac{1}{10}\cdot9=0,9$

$2,9999=2+0,9999...=2+\frac99=2+1=3 \\\\ 0,439999...=\frac1{100}\cdot43,9999...=\frac1{100}\cdot(43+0,999...)=\frac1{100}\cdot(43+\frac99)=\\=\frac1{100}\cdot44=0,44$