Question

How do you write $87.073$ in scientific notation?

Answer 1

Hint: For this question we have been asked to write the given number in scientific notation. Scientific notation is the form of representing very large or small numbers in the form of $a\times {{10}^{b}}$ or in terms of exponents of $e$ as they help in scientific calculations but mainly in questions of this type we prefer to write in terms of $a\times {{10}^{b}}$ by performing some simple arithmetic calculations.

Complete step by step answer:
From the question we have the number $87.073$ and we need to represent it in scientific notation.
Scientific notation is the form of representing very large or small numbers in the form of $a\times {{10}^{b}}$ or in terms of exponents of $e$ as they help in scientific calculations. As expressing in the form of $a\times {{10}^{b}}$ is convenient compared to the other form we are going to use that here.
$87.073$ can be written as $87073\times {{10}^{-3}}$ by using simple arithmetic techniques.
By further applying the simple arithmetic techniques we can express it as $8.7073\times {{10}^{4}}\times {{10}^{-3}}$ .
Now by simplifying this we will have $8.7073\times 10$.

Hence we can conclude that the number $87.073$ can be expressed in scientific notation as$8.7073\times 10$ .

Note:We should be careful while performing the calculations while answering questions of this type that are represented in scientific notations. This number can also be expressed in terms of exponents of $e$ as follows: $87.073={{e}^{4.46}}$ . But we do not prefer this form because calculations are not easy in this form.