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.