Q71. - Algebra 2

Question

Find the reciprocal of each number.

$3$

Step-by-Step Solution

Answer

The reciprocal of the $3$ is $\frac{1}{3}$.

Step 1- Given information

We have, a number$3$.

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 3 is x.

So,

$\begin{array}{l}3\times x=1\\ \Rightarrow x=\frac{1}{3}\end{array}$

Hence, the reciprocal of the$3$ is $\frac{1}{3}$.