Question

What is decimal is \[{}^{1}/{}_{10}\] of 0.9?

Answer 1

Hint: For solving this question you should know about the decimal values and how to calculate the decimal numbers of any number. We will calculate the decimal value of \[{}^{1}/{}_{10}\] of 0.9 in this question and we will first take both as a fractional form for decimal value and then we will calculate the decimal value.

Complete step-by-step solution:
According to our question we have to calculate the \[{{\dfrac{1}{10}}^{th}}\] decimal of 0.9.
For calculating the decimal value of any value we always divide it with 10 and if it is given in any form then we solve that first and then bring it in a form of \[\dfrac{x}{10}\]. And if we have to calculate the decimal value of any other value then according to mathematics the meaning of “of” is equal to multiplication. So, we multiply both with one another and then we get the decimal value.
So, if we look at our question then the decimal value is 0.9 and the fraction is \[{}^{1}/{}_{10}\].
And for calculating the decimal value we will convert both in fractional form.
So, fractional form of 0.9 is equal to \[=\dfrac{9}{10}\]
Now we have to calculate the decimal of \[\dfrac{1}{10}\] of \[\dfrac{9}{10}\].
So, for the decimal value of \[\dfrac{1}{10}\] of \[\dfrac{9}{10}\] \[=\dfrac{1}{10}\times \dfrac{9}{10}\]
                          \[=\dfrac{9}{100}=0.09\]
Hence, \[{}^{1}/{}_{10}\] of 0.9 is \[\dfrac{9}{100}=0.09\].
So, the decimal is 0.09 of \[\dfrac{1}{10}\] of 0.9.

Note: For calculating the decimal value of any fractional number you have to be assured that the number contains a denominator of 10 and the power of 10. And if the denominator is not in this from then we have to make it in this form always. And if the question is asking for the decimal value of any decimal values part. Then we have to calculate that by multiplying both.