Question

What would fourteen billion be in scientific notation?

Answer 1

Hint: In this problem, we have to convert the normal or standard notation to the scientific notation. We should know that in scientific notation, a number is written as \[a\times {{10}^{n}}\], where n is an integer. To convert the standard notation to its scientific form, we just need to multiply the power \[{{10}^{n}}\]. In this problem, we can first write the given statement into its mathematical form. We can then write in the \[{{10}^{n}}\] and multiply it to get the final answer.

Complete step by step solution:
We know that the given statement to write in scientific notation is,
’14 billion’
We can now write it in the mathematical form,
\[= 14,000,000,000\]
We can now write it as,
\[= 14\times 1000000000\]
We can now write the 1000000000 in terms of scientific notation \[{{10}^{n}}\], we can write the ten to the power term as it has 9 zeros, we get,
\[= 1.4\times {{10}^{9}}\]
Therefore, the scientific notation of 14 thousand is \[1.4\times {{10}^{9}}\].

Note: We should always remember that, while converting the standard notation to its scientific notation, we have to multiply the number with\[{{10}^{n}}\], where thousand has three zeroes and we can multiply the given number to \[{{10}^{3}}\], to get a scientific notation of the given number. We should first remember that the given statement should be converted into its mathematical term. We should know that in scientific notation, a number is written as \[a\times {{10}^{n}}\].