How do you convert 9,000 seconds to hours?

1 Answer
May 7, 2017

See a solution process below:

Explanation:

We know:

60 seconds #=# 1 minute. So multiplying something by:

#(1 min)/(60 sec)# is the same as multiplying by #1#

And, we know:

60 minutes #=# 1 hour. So multiplying something by:

#(1 hr)/(60 min)# is the same as multiplying by #1#

So we can rewrite 9,000 seconds as:

#9000 sec xx (1 min)/(60 sec) xx (1 hr)/(60 min)# is the same as multiplying 9000 seconds by #1# twice:

#9000 color(red)(cancel(color(black)(sec))) xx (1 color(blue)(cancel(color(black)(min))))/(60 color(red)(cancel(color(black)(sec)))) xx (1 hr)/(60 color(blue)(cancel(color(black)(min)))) =>#

#9000 xx 1/60 xx (1 hr)/60 => (9000 xx 1 xx 1 hr)/(60 xx 60) =>#

#(9000 hr)/3600 => 2.5 hr#

9,000 seconds is 2.5 hours.