Q78. - Algebra 2

Question

Find the reciprocal of each number.

$-1.25$

Step-by-Step Solution

Answer

The reciprocal of the $-1.25$ is $-0.8$.

Step 1- Given information

We have, a number $-1.25$.

To find the reciprocal of the given number.

Step 2- Concept used

The reciprocal or multiplicative inverse of a number$x$ is the number which, when multiplied by $x$ then gives $1$.

Such that    $x\times \frac{1}{x}=1$

Thus, $x$is the reciprocal of $\frac{1}{x}$and $\frac{1}{x}$is the reciprocal of $x$.

Step 3- To find the reciprocal

Let the reciprocal of the given number $-1.25$ is$=x.$

So,

$\begin{array}{l}-1.25\times x=1\\ \Rightarrow -\frac{125}{100}\times x=1\\ \Rightarrow -\frac{5}{4}\times x=1\\ \Rightarrow x=-\frac{4}{5}\\ \Rightarrow x=-0.8\end{array}$

Hence, the reciprocal of the $-1.25$ is $-0.8$.