Question

The multiplicative inverse of $\dfrac{1}{5}$ is?

Answer 1

Hint: In the given question we need to find the inverse of the fractional number and we know that inverse is such that the product of the number and the inverse is equal to identity and also we can write multiplicative inverse as the reciprocal of the number.

Complete step-by-step answer:
In the given question we are asked to write the multiplicative inverse of a fractional number $\dfrac{1}{5}$. We know that the multiplicative inverse of any number let us say N is written as $\dfrac{1}{N}$or ${{N}^{-1}}$ . We also say that the multiplicative inverse is the reciprocal. If we see intuitively then also, we can see that inverse somewhere means opposite.
Now, while finding the reciprocals we know that the product of the number and its reciprocals is equal to 1, similarly we can see that the product of the number and its inverse is also equal to 1.
We can also say that while finding the inverse simply means that we need to divide the number by its own self and generate the identity of the number which is 1 according to the given question.
So, from the above information we can clearly see that if we need to find the inverse of a fraction
$\dfrac{p}{q}$ then we need to find such a number that if we multiply that number to the given number, we will get the product as 1. Therefore, according to the question we have fraction $\dfrac{1}{5}$and hence the reciprocal would be also called inverse and is going to be 5.
Therefore, the inverse of $\dfrac{1}{5}$is 5.

Note: In the given question we need to be careful that we are asked about the multiplicative inverse and there is very much less difference between additional difference in which if we add the number and the inverse then it will be equal to zero.