8.99*10^98.99⋅109 seconds is how many years?
1 Answer
Explanation:
Your strategy here will be to use a series of conversion factors to take you from
- seconds to minutes
"1 minute " = " 60s seconds"1 minute = 60s seconds
- minutes to hours
"1 hour " = " 60 minutes"1 hour = 60 minutes
- hours to days
"1 day " = " 24 hours"1 day = 24 hours
- days to years
"1 year " = " 365.25 days"1 year = 365.25 days
The last conversion factor doesn't use a whole number because once every
So, use the conversion factors to find
8.99 * 10^9 color(red)(cancel(color(black)("s"))) * (1color(red)(cancel(color(black)("min"))))/(60color(red)(cancel(color(black)("s")))) * (1color(red)(cancel(color(black)("hr"))))/(60color(red)(cancel(color(black)("min")))) * (1 color(red)(cancel(color(black)("day"))))/(24color(red)(cancel(color(black)("hr")))) * "1 year"/(365.25color(red)(cancel(color(black)("days"))))
=2.85 * 10^2"years" = "285 years"
The answer is rounded to three sig figs, the number of sig figs you have for