Answer:
Option A - \(\frac{5E(-9)}{2E(4)}=2.5E(-13)\)
Step-by-step explanation:
Given : Samuel entered the following key strokes on his calculator \(\frac{5E(-9)}{2E(4)}\)
To find : What did Samuel’s calculator display?
Solution :
Expression,
\(\frac{5E(-9)}{2E(4)}\)
We know that, E means 10 to the power
So, Converting scientific notation into standard form
\(=\frac{5\times 10^{-9}}{2\times 10^{4}}\)
Solve the division,
\(=\frac{5}{2}\times 10^{-9-4}\)
\(=2.5\times 10^{-13}\)
Converting standard into scientific,
\(=2.5E(-13)\)
Therefore, \(\frac{5E(-9)}{2E(4)}=2.5E(-13)\)
So, Option A is correct.
