Question

How do you find $\dfrac{1}{{10}}th$ of a number?

Answer 1

Hint:
The given question is how will you find out the ${\dfrac{1}{{10}}^{th}}$ of a given number. The question basically tells us that how can we find the ${\dfrac{1}{{10}}^{th}}$part / fraction of the given number means one tenth part of the given number. We will do this with the help of rule that ${\dfrac{1}{{10}}^{th}}$of the number means the number is multiplied by $\dfrac{1}{{10}}$.

Complete step by step solution:
The question is about to find out the ${\dfrac{1}{{10}}^{th}}$of the given number. Means one by tenth part of the number is to be evaluated. Let us take any number say $x$ . Then rule is to find out the ${\dfrac{1}{{10}}^{th}}$part of $x$ is to do ${\dfrac{1}{{10}}^{th}}$of the number which simply means to multiply $\dfrac{1}{{10}}$ by $x$ . Since $\dfrac{1}{{10}}$ of $x$means to multiply which becomes $\dfrac{1}{{10}}x$ or $\dfrac{x}{{10}}$ . Therefore we can say that ${\dfrac{1}{{10}}^{th}}$of $x$ is simply multiply with $\dfrac{1}{{10}}$ with $x$ . Therefore to find out the ${\dfrac{1}{{10}}^{th}}$of the given number, multiply $\dfrac{1}{{10}}$ with the given number. Now, for example, the given number is $5$ and we want to find out the ${\dfrac{1}{{10}}^{th}}$of $5$ , therefore $\dfrac{1}{{10}} \times 5$ means $\dfrac{5}{{10}}$which after making the factors, we get $\dfrac{5}{{2 \times 5}}$ , where in numerator and denominator, $5$ gets cancel, and we are left with $\dfrac{1}{2}$ which on divide become $0.5$ .
It means ${\dfrac{1}{{10}}^{th}}$ of $5$ is $0.5$

Therefore, to find out ${\dfrac{1}{{10}}^{th}}$of the given number means simply multiply $\dfrac{1}{{10}}$ by the given number.

Note:
In the given question, we had to find out how we can calculate ${\dfrac{1}{{10}}^{th}}$of the given number. Here number can be any whole number, and rational number, any number is decimal, any number with fraction (either proper fraction or improper fraction), then ${\dfrac{1}{{10}}^{th}}$of the number simply means to multiply the given number by $\dfrac{1}{{10}}$, like ${\dfrac{1}{{10}}^{th}}$part, we can find out the any fraction of the given numbers.