Question

How do you write $57910000$ in scientific notation?

Answer 1

Hint: In this question, we have to convert the number into scientific notation. As we know, a scientific notation is either a very large number or a small number; it is represented when a number lies between 1 to 10 is multiplied by a power, which implies $a\times {{10}^{b}}$ where ‘a’ is the number between 1 and 10 and b is either negative for small numbers. So, in this problem, we first count the total numbers of zeros in the given number, there are 4 zeroes, which implies b=4. But, we know that in scientific notation the number must be in decimal, thus we will now multiply and divide 1000. In the end, we will make the necessary calculations, to get our required solution to the problem.

Complete step by step answer:
According to the question, we have to find the scientific notation from a number.
The number given to us is $57910000$ -------- (1)
So, we first count the total number of zeroes in the equation (1), we have
$\begin{align}
  & 57910000 \\
 & \text{ }\uparrow \uparrow \uparrow \uparrow \\
\end{align}$
So, we get 4 zeroes in the number, therefore $b=4$ , thus we get
$\Rightarrow 5791\times {{10}^{4}}$
Also, we have to convert the number into decimal point, therefore we will multiply and divide 1000 on both sides in the above expression, we get
$\Rightarrow 5791\times \dfrac{1000}{1000}\times {{10}^{4}}$
On further simplifying the above expression by putting the decimal point after 5 and before 7, so that the denominator 1000 will be vanished and so $b=3$ , thus new b will become 7, we get
$\Rightarrow 5.791\times {{10}^{7}}$ which is the required solution.
Therefore, for the number $57910000$, its scientific notation is equal to $5.791\times {{10}^{7}}$

Note:
While solving this problem, keep in mind the difference between scientific notation and decimal notation. Also, a scientific notation is only represented in decimal numbers.