A computer program in Shannon's computer carries a single mathematical operation in 1.510^-6 seconds. How much time would the program take to complete 2.510^3 mathematical operations?

Verified Answer :

2.5(10^3) / 1.5(10^-6) = 2500/.0000015 = 1.67 seconds

Answer: \(3.75\times10^{-3}\) seconds

Step-by-step explanation:

Given: Time taken by computer program in Shannon's computer carries a single mathematical operation=\(1.5\times10^{-6}\) seconds

Time taken by computer program to carry a \(2.5\times10^3\) mathematical operation is given by :-

\(2.5\times10^3\times1.5\times10^{-6}\\\\=(2.5\times1.5)\times(10^3\times10^{-6})\\\\=3.75\times10^{3+(-6)}=3.75\times10^{3-6}\\\\=3.75\times10^{-3}\)

Hence, Time taken by computer program to carry a \(2.5\times10^3\) mathematical operation is \(3.75\times10^{-3}\) seconds