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How do you write \[14.05\] billion in scientific notation?

Answer
VerifiedVerified
542.7k+ views
Hint: In the given question, we have been given the scientific notation of a number written in a phrase. To solve this, we must know what a scientific notation is – it is a way of writing extremely large numbers including lots of zeroes, in the form of a single digit followed by a decimal point, followed by the rest of non-zero numbers, followed by multiplication with ten raised to the power of condensed numbers, including the zeroes.

Complete step by step answer:
In the given question, we have to write the scientific notation of \[14.05\] billion.
First, one billion is one followed by nine zeroes, or, \[1,000,000,000\].
Now, we use scientific notation,
\[1 \times {10^9}\]

Hence, \[14.05\] billion can be written as \[14.05 \times {10^9} = 1.405 \times {10^{10}}\].

Additional Information:
The way of writing in the scientific notation is especially helpful to physicists, scientists, researchers who are working with very large numbers. For example, writing \[1\] followed by twenty-nine zeros is very space and time consuming, so it is better to write it as \[1 \times {10^{29}}\]. This small notation saved so many zeroes’ space and time.

Note:
In the given question, we had to write the scientific notation of one billion. To do that, we must know what a scientific notation is and how a scientific notation is written. Then, we must also know what is the value of one billion in actual numbers – one followed by nine zeroes. Then we just write down the notation and get our answer.
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