Chapter 2: Q75. (page 67)

Find the reciprocal of each number.
$- \frac{1}{5}$

Short Answer

Expert verified

The reciprocal of the $- \frac{1}{5}$ is $- 5$ .

Step by step solution

Step 1- Given information

We have, a number $- \frac{1}{5}$ .

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 $- \frac{1}{5}$ is $= x .$

So,

$\begin{array}{l} - \frac{1}{5} \times x = 1 \\ \Rightarrow \frac{1}{5} \times x = - 1 \\ \Rightarrow x = - 5 \end{array}$

Hence, the reciprocal of the $- \frac{1}{5}$ is $- 5 .$

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Find the reciprocal of each number.
$- \frac{1}{5}$

Short Answer

Step by step solution

Step 1- Given information

Step 2- concept used

Step 3- To find the reciprocal

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Find the reciprocal of each number.-15

Short Answer

Step by step solution

Step 1- Given information

Step 2- concept used

Step 3- To find the reciprocal

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Discrete Mathematics

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Study anywhere. Anytime. Across all devices.

Find the reciprocal of each number.
$- \frac{1}{5}$