Objection, your honour!

- How did it go?
- The judge sentenced me to one million seconds in jail.
- That’s nothing! Imagine if it was one thousand million seconds!
With your head only, estimate how long the sentence was and how long it might have been.
March 31st, 2009 at 7:58 am
Without touching paper I came up with slightly more than 10 days and 10,000 days (which, divided by 365 is something less than 30 years).
60×60 = 3600. 3600×24 I had to work through in my head to be 86400.
10,000 / 864 (chopping 2 zeros off each) = more than 10 days.
1,000 of those = less than 30 years.
~~~~~~~
Now to test my estimates really quick.
10^6 seconds = 11.57407407407 days
10^9 seconds = 31.70979198376 years
I was pretty close but my client is unfortunately going to rot in jail for an extra year because of my bad calculation.