Question

What is 10 divided by (1 divided by 0.1)?

Answer 1

Hint: In this problem, we have to evaluate the given fractional expression and then find the value for it. We can first write them in the mathematical form. We will get a fraction over a fraction. We can then take a reciprocal method and use it in the step. We can then simplify it step by step to get the answer for the given expression.
Here we have to find the value for 10 divided by (1 divided by 0.1).

Complete step by step answer:
We can now write the given expression in mathematical form, we get
\[\Rightarrow \dfrac{10}{\dfrac{1}{0.1}}\]
We can now take the reciprocal by taking the inverse of the fraction in the denominator and multiplying it with the fraction in the numerator, we get
\[\Rightarrow 10\times \dfrac{0.1}{1}\]
We know that \[0.1=\dfrac{1}{10}\], we can now write it as,
\[\Rightarrow 10\times \dfrac{1}{10}=1\]
Therefore, the value of the given expression 10 divided by (1 divided by 0.1) is 1.

Note: We should always remember the reciprocal method which proceeds by taking the inverse of the fraction in the denominator and multiplying it with the fraction in the numerator. We should also remember that when 1 is divided by 10, we get 0.1, similarly if 1 is divided by 100, we get 0.01. We should write the given statement in a correct mathematical form in order to proceed in a correct way to get the answer.