Question

How do you write $8$ million in scientific notation?

Answer 1

Hint: For writing the given number in the scientific notation, we must first write the number itself. We know that one million is equal to the number $1000000$. Therefore, the given number $8$ million will be equal to $8\times 1000000$ or $8000000$. The scientific notation of a number is expressed as $a\times {{10}^{b}}$ where a is a number greater than or equal to one and less than ten, and b is any integer. Therefore, in order to write the number $8000000$ in the scientific notation, we need to divide and multiply it by $1000000$ after which we will obtain the required scientific notation for the given number.

Complete step by step answer:
According to the above question, the given number is $8$ million. We know that one million is equal to $1000000$. Therefore, $8$ million will be equal to $8\times 1000000$, which is equal to $8000000$. Now, we know that the scientific notation for a number is given by $a\times {{10}^{b}}$ where a is a number greater than or equal to one and less than ten, and b is any integer. Therefore, we need to divide and multiply the number $8000000$ by $1000000$ in order to write in the form of the scientific notation as
$\begin{align}
  & \Rightarrow \dfrac{8000000}{1000000}\times 1000000 \\
 & \Rightarrow 8\times {{10}^{6}} \\
\end{align}$
Hence, we have finally written the given number in the form of scientific notation as $8\times {{10}^{6}}$.

Note:
For writing the given number, which is equal to $8$ million, we must be familiar with the international system of numeration. Further, we can simply count the number of zeroes in the number $8000000$ and put it as the power over ten.