Question

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

Answer 1

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

`5.200\cdot10¹¹μs=5.200\cdot10^5s`

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

`\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}`

Finally, we divide both numbers:

`(5.2\cdot10^5s)/(6.048\cdot10^3s)=8.598\cdot10^(-1)`

Answer:

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