Question

How do you write \[2,000,004\] in scientific notation ?

Answer 1

Hint: In the given question, we are required to convert a given number into scientific notation. Scientific notation is an easy way of representing numbers. A number which is very small or very large can be easily represented in scientific notation and it is easy to read as scientific notation also represents the order of a number and gives a pretty clear idea of how big or small a given number is.

Complete step by step solution:
Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between $1$ and $10$ is multiplied by a power of $10$. The power of $10$ is called the order of a number and gives us a pretty clear idea of how big or how small a number actually is.
In the problem given to us, we have to convert the number given to us, \[2,000,004\] into scientific notation.
So, we know that \[2.000004\] is a number that lies between $1$ and $10$.
Hence, \[2,000,004 = 2.000004 \times {10^6}\].
So, the order of the number \[2,000,004\] is \[6\] as the power of \[10\] in the scientific notation of the number is \[6\].
Hence, the number \[2.000004\] can be written in scientific notation as \[2.000004 \times {10^6}\].
So, the correct answer is “\[2.000004 \times {10^6}\]”.

Note: The given solution to the above problem represents the standard method of converting a given number into scientific notation. The order of a number is the power of \[10\] in the scientific notation of the number.