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

Respuesta :

Answer:

the comuter does 1 calculation in 1.5*[tex]10^{-17}[/tex] nanosec

Step-by-step explanation:

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

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

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

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

6.7*[tex]10^{7}[/tex] [[tex]\frac{calculation}{sec}[/tex] * [tex]\frac{sec}{nanosec*10^{*9}}[/tex]

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

Now doing a simple three rule we have this:

6.7 * [tex]10^{16}[/tex] calculation in ⇒ 1 nanosec

1 calculation in ⇒ [tex]\frac{1 nanosec* 1calculation}{6.7*10^{16} calculation }[/tex]

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