Question

What is the opposite and reciprocal of $10$?

Answer 1

Hint: To solve this kind of question we need to know about the opposite and reciprocal of a number. Opposite of a number is basically the additive inverse of a number while reciprocal of a number is defined as the multiplicative inverse of a number.

Complete step by step solution:
The question here asks us to find the opposite and reciprocal of a number given which is $10$. Firstly we would find the opposite of a number. Opposite of a number is the additive inverse of the number which means what shall be the number added to the given number so that the sum is $0$. The number given to us is $10$. On applying the above explanation in form of formula we get:
$\Rightarrow x+10=0$
Here $x$ is the opposite of the number. On calculating the further we get:
$\Rightarrow x=-10$
So the opposite of $10$ is $-10$.
The second step is to find the reciprocal of a number. Reciprocal of a number is defined as the multiplicative inverse of the number which means when a number is multiplied to the given number the product should result to give $1$ as its value. The number given to us is $10$. On applying the above explanation in form of formula we get:
$\Rightarrow x\times 10=1$
$\Rightarrow x=\dfrac{1}{10}$
So the reciprocal of the number $10$ is $\dfrac{1}{10}$ .

$\therefore $ The opposite and reciprocal of $10$ is $-10$ and $\dfrac{1}{10}$ respectively.

Note: There is another approach to solve this question. To find the opposite of the number we can directly write the number with the opposite sign. So the opposite of $10$ becomes $-10$. Similarly for the case of reciprocal the numerator and the denominator will just be interchanged. So the reciprocal of $10$ hence becomes $\dfrac{1}{10}$.