Question

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10^{7} calculations per second?

Answer 1

Answer:

the comuter does 1 calculation in 1.5*$10^{-17}$ nanosec

Step-by-step explanation:

First step: we need to write all terms in nanosec, as we know:

1[nanosec]= $10^{-9}$[sec]

The computer does 6.7*$10^{7}$ [$\frac{calculation}{sec}$]

if we multiplicate for $\frac{sec}{nanosec*10^{*9}}$, from the units convertion.

6.7*$10^{7}$ [$\frac{calculation}{sec}$ * $\frac{sec}{nanosec*10^{*9}}$

6.7* $10^{16}$ [$\frac{calculation}{nanosec}$]

Now doing a simple three rule we have this:

6.7 * $10^{16}$ calculation in ⇒ 1 nanosec

1 calculation in ⇒ $\frac{1 nanosec* 1calculation}{6.7*10^{16} calculation }$

So, we found: the comuter does 1 calculation in 1.5*$10^{-17}$ nanosec