Question

How do you convert \[\dfrac{{95}}{{1000}}\] into a percent and decimal?

Answer 1

Hint: We are asked to convert the given number into percentage form and decimal form. To convert into a percent, recall the basic definition of percent and using it try to convert the given number into percentage form. Similarly to convert into decimal, recall the form of decimal.

Complete step-by-step answer:
Given, the number \[N = \dfrac{{95}}{{1000}}\] .
A percent can be defined as one part of hundred, in mathematical form we can write
  \[x\% = \dfrac{x}{{100}}\] (i)
where \[x\] is a number.
To write the number \[N = \dfrac{{95}}{{1000}}\] in percentage form, we have to make the denominator equal to \[100\] . For this we divide the numerator and denominator by \[10\]
Dividing numerator and denominator of the number \[N\] by \[10\] we get,
  \[N = \dfrac{{\left( {\dfrac{{95}}{{10}}} \right)}}{{\left( {\dfrac{{1000}}{{10}}} \right)}}\]
  \[ \Rightarrow N = \dfrac{{9.5}}{{100}}\]
Comparing this value \[N\] with equation (i) we get,
  \[N = \dfrac{{9.5}}{{100}} = 9.5\% \]
To convert the number into decimal we divide the numerator by the denominator.
So, dividing the numerator by denominator we get,
  \[N = \dfrac{{95}}{{1000}} = 0.095\]
Therefore, \[\dfrac{{95}}{{1000}}\] in percentage form is \[9.5\% \] and in decimal form is \[0.095\] .
So, the correct answer is “Therefore, \[\dfrac{{95}}{{1000}}\] in percentage form is \[9.5\% \] and in decimal form is \[0.095\] .”.

Note: Here, we were given a number in fraction form and asked to convert into percent. But if we are given a percent and asked to convert it to fraction then we just have to divide the percent given by \[100\] to convert it to fraction. We can write a number into different forms, the three important forms that one should remember are fraction, percentage and decimal. Fractions help us to determine how much part of a number is required. Decimals are useful in cases where more accuracy is required such as money, weight, length.