Question

Write $0.04\%$ as a decimal?

Answer 1

Hint: As we have to convert the percentage into the decimal number, divide the percentage by 100 and remove the percent sign. As the given percent is also in decimal, first convert it in fraction and then convert in the decimal to get the desired result.

Complete step by step answer:
We are provided with a percentage, according to the given question, which we have to turn into a decimal number. Here, we are given a $.04\%$ figure.
An amount or ratio that can be expressed as a fraction of 100 is a percentage. If a percent of a number needs to be determined, divide the number by the whole and multiply it by 100. The percentage, thus, means a portion per hundred. It is defined by the symbol $‘\%’$.
To turn a percentage into decimal numbers by dividing the percentage by 100. We will convert the decimal percent to fraction percent if the percent is a decimal and then we convert it into a decimal number.
Since the given percent is in decimal, we convert it into fraction percent.
$ \Rightarrow 0.04\% = \dfrac{4}{{100}}\% $
We can write percent into fractions by dividing it by 100.
$ \Rightarrow \dfrac{4}{{100}}\% = \dfrac{4}{{10000}}$
Since the denominator is multiples of 10, we can convert easily by dividing the numerator with the denominator. Then, we get
$ \Rightarrow \dfrac{4}{{10000}} = 0.0004$
Hence, the decimal number is 0.0004.

Note: We can transform a fractional number into a decimal by simply dividing the numerator with the denominator of the fraction form. By multiplying it by 100 and then by simple division, we can also transform a fraction into a quarter. We ought to round the decimal part when measuring the decimal shape if necessary.
After translating the percent sign $"\%"$ to decimal, we should remember to delete it. By merely counting the number of zeroes(n) in the denominator, we can conveniently convert a fraction to decimal and then hold the decimal point in the numerator n positions to the left.