Question

Escreva o inverso de cada um destes núme- ros racionais:
a)
$\frac{7}{8}$
b)
$- \frac{5}{12}$
c)
$- \frac{17}{4}$
d) 9

e) – 16

f)
$- \frac{1}{10}$
(Vale 50 pontos!)​

Answer 1

✅ Sabendo que o inverso ou inverso multiplicativo ou recíproco de um número pode ser calculado pela seguinte fórmula:

                       $\Large\displaystyle\begin{gathered} I(n) = \frac{1}{n}\end{gathered}$

Então, calculando os inverso multiplicativos, temos:

• A)

            $\Large\displaystyle\text{ \begin{gathered} I\bigg(\frac{7}{8}\bigg) = \frac{1}{\dfrac{7}{8}} = 1\cdot\frac{8}{7} = \frac{8}{7}\end{gathered} }$

• B)

            $\Large\displaystyle\text{ \begin{gathered} I\bigg(-\frac{5}{12}\bigg) = \frac{1}{-\dfrac{5}{12}} = 1\cdot\bigg(-\frac{12}{5}\bigg) = -\frac{12}{5}\end{gathered} }$

• C)

            $\Large\displaystyle\text{ \begin{gathered} I\bigg(-\frac{17}{4}\bigg)= \frac{1}{-\dfrac{17}{4}} = 1\cdot\bigg(-\frac{4}{17}\bigg) = -\frac{4}{17}\end{gathered} }$

• D)

            $\Large\displaystyle\begin{gathered} I(9) = \frac{1}{9}\end{gathered}$

• E)

            $\Large\displaystyle\begin{gathered} I(-16) = -\frac{1}{16}\end{gathered}$

• F)

            $\Large\displaystyle\text{ \begin{gathered} I\bigg(-\frac{1}{10}\bigg) = \frac{1}{-\dfrac{1}{10}} = 1\cdot\bigg(-\frac{10}{1}\bigg) = -10\end{gathered} }$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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