The computer takes 12.19512.... nanoseconds to perform one calculation.
Explanation
The computer performs 8.2× 10⁷ calculations per second.
We know that, 1 second = 10⁹ nanoseconds.
Suppose, the computer takes [tex]t[/tex] nanoseconds to perform one calculation.
So, the time taken to perform 8.2× 10⁷ calculations [tex]=t(8.2*10^7)[/tex] nanoseconds.
Thus the equation will be............
[tex]t(8.2*10^7)=10^9\\ \\ t= \frac{10^9}{8.2*10^7}= 12.19512......[/tex]
So, the computer takes 12.19512.... nanoseconds to perform one calculation.