Question

What is the scientific notation of 0.0002?

Answer 1

Hint: In the given question we simply are asked to write the scientific notation. We can also say that we need to write the given decimal number into scientific form that includes numbers written in raised to 10 powers and decimal is removed.

Complete step-by-step answer:
Now in this question we are asked to write the scientific notation of 0.0002. So, for this we must be aware of what they mean by the scientific notation. While writing the scientific notation we must know that in the scientific notation of the number we have one non zero number before the decimal point.
So, we know that the scientific notation of the given number would somewhat look like $2\times {{10}^{n}}$ where n is any power of ten according to the required number of decimal places such that it does not change the number.
Now multiplying by 10 to a positive whole number moves the decimal point to the right. Now in this question we need to multiply 2 in order to move the decimal to the left. Now to get the number 0.0002 from 2 we will have to move the decimal 4 to the left, which means we would multiply by ${{10}^{-4}}$ .
So, the value of n is -4. Therefore, the scientific notation of 0.0002 is $2\times {{10}^{-4}}$.

Note: While doing such questions remember how the decimal notation and power of 10 are inter related as it is one of the important points where we make mistakes. Apart from this we must be aware of the positive powers and negative power roles when base is taken 10 in order to write such notations.