Question

How do you write $$0.00035$$ in scientific notation?

Answer 1

Hint: According to this question, first we have to make the given number
$$0.00035$$convert into a form which is ranging between 1 and 10. For that, we have to try to move the decimal point in such a way that the resulting number is greater than 1 but less than 10.

Complete step by step solution:
There is a form in which the standard form or the scientific notation is written. The form is:
$$m\times {10}^n$$; where $$m$$ is a number which is ranging between 1 and 10. Here $$n$$is the exponent which may be a positive number or a negative number.
Now, we have to convert the given question $$0.00035$$ in scientific notation. For that first we have to move the decimal point 4 times to the right. We can also say that we have to make the decimal point jump over 4 places to the right.
Now, the resulting number which is $$m$$ here is $$3.5$$. As we can see that the number $$m=3.5$$ is ranging between 1 and 10. It is greater than 1 and less than 10.
Now, we had moved the decimal point 4 places towards the right. So, our exponent which is $$n$$here is going to be negative. This means that $$n=-4$$.
Now, we just have to write the values of $$m$$ and $$n$$ according to the given form or formula, and then we will get our answer. So, the answer is:
$$0.00035=3.5\times {10}^{-4}$$
Now, we can say that $$3.5\times {10}^{-4}$$ is the scientific notation of $$0.00035$$.

Note: If $$3.5\times {10}^{-4}$$ here is the scientific notation of $$0.00035$$, then $$3.5e-4$$ is known as the scientific e-notation for $$0.00035$$. Always remember to correctly shift the decimal points and count the number of zeros properly so that there would not be any mistake.