Question

Write the standard form of the following number:
0.0000085

Answer 1

Hint: To write the decimal number in the standard form we will have to multiply and divide that number by 10 to the power of a number, such that, we get a non-zero number before the decimal place.

Complete step-by-step answer:
We have been given in the question that we have to find the standard form of the number, that is, 0.0000085
Now, we know that, in order to write the given number in the standard form, first of all we have to write a number between 1 and 10 and then, we will write \[\left( \times 10 \right)\] to the power of a number.
We have been given the number as, 0.0000085.
We can see that there are 6 digits before the digit 5 in the above number. So, we will multiply and divide it by \[{{10}^{6}}\] and we will get it as follows,
\[\begin{align}
  & 0.0000085=\dfrac{0.0000085\times {{10}^{6}}}{{{10}^{6}}} \\
 & \Rightarrow \dfrac{8.5}{{{10}^{6}}} \\
\end{align}\]
Now, on taking \[{{10}^{6}}\] to the numerator, we will get it as follows,
\[\Rightarrow 8.5\times {{10}^{-6}}\]
Therefore, we get the standard form of the given number as \[8.5\times {{10}^{-6}}\]

Note: Remember that, any number which we can write as a decimal number between 1 and 10, multiplied by a power of 10, is known as the standard form.
In the above question, the possible mistake that one can make is while counting the zeros after the decimal and hence one might write the wrong number of zeroes and this will result in errors. So, one must be careful while solving this question.