Question

How do you write $54,000,000$ in scientific notation?

Answer 1

Hint: The scientific notation is the notation in which all physical quantities are normally expressed.
In scientific notation we always we always first try to express number in the form of power of $10$ instead of a big number for example:
$1000000$ will be written in this type of notation as ${10^6}$. And if there is any other number remaining in the number we express it as a multiple of that power of $10$, but we also have to remember one crucial detail: the other number which is multiplied by the power of $10$ should always be between $1$ and $10$. If that is not the case we change the extra number into a number between $1$ and $10$.

Complete step by step solution:
 Given the number say, $A$ then $A$ is
$A = 54,000,000$
Now first we express this number in the form of multiple of $10$ multiplied by the other number as follows
$A = 54\times1000000$
Which can then be written as
$A = 54\times{10^6}$
But we also have to remember that the other number $54$in this case should be between $1$ and $10$ so we divide $54$ by $10$ which yields
$A = 5.4\times10\times{10^6}$
Which will be then written as the final answer that is
$A = 5.4\times{10^7}$
So, the correct answer is “$A = 5.4\times{10^7}$”.

Note: Remember that the scientific notation should only have a number between $1$and $10$ and no other number if the number is there, manipulate it accordingly so that it comes between the desired range. The scientific notation was originally developed by scientists so that they do not have to write so many zeros in a very lengthy calculation of any question.