Question

How do you write the number in two other forms \[0.489\]?

Answer 1

Hint: From the question given, we have been asked to write the given number \[0.489\] in two other forms. We can clearly observe that the given number is in the decimal form. Now, we have to write it in another two forms. We can convert the given number into fractional form and also we can convert the given number into percentage and also we can write it in the form of scientific notation.

Complete step by step answer:
Now considering from the question we need to write the given number in two other forms. We will suppose them as fractional and scientific notations.
\[0.489\] in fractional form:
We know that fraction is putting the number over another number (usually a multiple of \[10\] that is \[10\] times higher) and simplifying.
We can clearly observe that the given number has three decimal places. So, we can write \[{{10}^{3}}\] in the denominator that is \[1000\].
Therefore \[\Rightarrow 0.489=\dfrac{489}{1000}\]
Above written is the fractional form of the given number.
\[0.489\] in percentage form:
Percentage is dividing the number received by the total number and multiplying by \[100\]. In this case, we only multiply by \[100\] to get the percentage form.
\[\Rightarrow 0.489=0.489\times 100\]
Therefore, \[\Rightarrow 0.489=48.9\%\]
Above written is the percentage form of the given number.
\[0.489\] in scientific notation:
Scientific notation is a way to represent a number of any quantities by rounding it to three significant figures, and the number has to be greater than \[1\] and less than \[10\].
Therefore \[\Rightarrow 0.489=4.89\times {{10}^{-1}}\]
Above represented is the scientific notation form of the given number.

Note: We should be well aware of the other forms especially fractional form and percentage form and scientific notation form. Also, we should be very careful while converting the given number in the question to the other form. Also, we should have well knowledge in all forms of the numbers. Similarly we can express $0.45$ as $\dfrac{9}{20}$ and $0.45=4.5\times {{10}^{-1}}$ .