a billion seconds (give answer in years)? please show work?

10^9 seconds

= 10^9/(24(3600)) days

= 11574.074074074074... days

= 31.69 average Gregorian years

10^9/[3600*24*365.25] =

31.688 years

The number of seconds per year depends on whether or not it is a leap year. It won't matter that much for our calculation so I'm just going use 365 days (see P.S. below).

365 days * 24 hours/day * 60 min/hour * 60 sec/min

= 31,536,000 seconds

Dividing 1,000,000,000 by that we get:

1,000,000,000 seconds / (31,536,000 sec/year)

= 31.7 years

Answer:

31.7 years (or almost 32 years)

P.S. The actual mean tropical year is 365 days, 5 hours, 48 minutes, 45 seconds (~365.24219 days) which we approximate with our calendar having 97 leap years every 4 centuries. We drop a leap year for every century that isn't divisible by 400. For example 2000 was a leap year, but 2100, 2200 and 2300 will not be. So our current calendar averages out to 365.2425 days. Feel free to use either of these numbers if you want a more accurate answer.

1,000,000,000 / 60 / 60 / 24 / 365.2422 = # of years