Question

How do you express \[0.000564\] in scientific notation?

Answer 1

Hint: For answering this question we have been asked to express the given number \[0.000564\] in scientific notation. Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers.

Complete step-by-step solution:
Now considering from the question we need to express the given number \[0.000564\] in scientific notation.
From the basic concepts we can say that Scientific notation is useful while performing very complex calculations. Scientific notation is the way of expressing a number in the form of $a\times {{10}^{b}}$ where $a,b$ are real numbers and \[1\le a\le 9\].
Here the number we have is \[0.000564\] we need to express this number in scientific form.
Let us simply write the given number as
 \[\Rightarrow 0.000564=0.564\times {{10}^{-3}}\] .
This number can be further simplified as
\[\Rightarrow 0.564\times {{10}^{-3}}=5.64\times {{10}^{-4}}\].
Hence, we can say that the number \[0.000564\] expressed in scientific notation is \[5.64\times {{10}^{-4}}\].

Note: We have to be very careful while answering questions of this type. These questions do not require much calculations so there is very less possibility of doing mistakes in questions of this type. While answering questions of this type we should be sure with our calculations and concepts. In the concepts of scientific notation there is another form of expressing any number that is as the exponents of $e$ . Here for this question the given number $0.0045834$ expressed in scientific notation is \[{{e}^{-7.48}}\] .