Answered

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How many weeks in 5.200x10^11 μs ? Your answer should be in standard notation.

Sagot :

We have 5.200x10¹¹ μs, but we know that 1 s = 10⁶ μs, then:

[tex]5.200\cdot10¹¹μs=5.200\cdot10^5s[/tex]

Now, we need to find out how many seconds are in a week:

[tex]\begin{gathered} 1\text{ week}=1\cdot7\text{ days}=1\cdot7\cdot24\text{ hours}=1\cdot7\cdot24\cdot60\text{ minutes}=1\cdot7\cdot24\cdot60\cdot60\text{ seconds} \\ \\ \Rightarrow1\text{ week}=6.048\cdot10^3\text{ seconds} \end{gathered}[/tex]

Finally, we divide both numbers:

[tex]\frac{5.2\cdot10^5s}{6.048\cdot10^3s}=8.598\cdot10^{-1}[/tex]

Answer:

There are 8.598×10⁻¹ weeks in 5.200x10¹¹ μs

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