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snow_lady [41]
2 years ago
13

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

Mathematics
1 answer:
crimeas [40]2 years ago
8 0

Answer:

<u><em>the comuter does 1 calculation in 1.5*10^{-17} nanosec</em></u>

Step-by-step explanation:

<u><em>First step: we need to write all terms in nanosec, as we know:</em></u>

<u><em>1[nanosec]= 10^{-9}[sec]</em></u>

<u><em>The computer does 6.7*10^{7} [\frac{calculation}{sec}]</em></u>

<u><em>if we multiplicate for \frac{sec}{nanosec*10^{*9}}, from the units convertion.</em></u>

<u><em>6.7*10^{7} [\frac{calculation}{sec} * \frac{sec}{nanosec*10^{*9}}</em></u>

<u><em>6.7* 10^{16} [\frac{calculation}{nanosec}]</em></u>

<u><em>Now doing a simple three rule we have this:</em></u>

<u><em>6.7 * 10^{16} calculation in ⇒ 1 nanosec</em></u>

<u><em>1 calculation in ⇒ \frac{1 nanosec* 1calculation}{6.7*10^{16} calculation }</em></u>

<u><em>So, we found: the comuter does 1 calculation in 1.5*10^{-17} nanosec</em></u>

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