Question

14 billion years (roughly the age of the universe) to seconds. (Assume there are 365 days in a year.)

Answer 1

Answer:

                     4.41 × 10¹⁷ Seconds

Explanation:

                   For this problem we will first find out the number of days in 14 billion years.

Remember that 1 billion is equal to 1,000,000,000 or 10⁹. So, 14 billion years will be written as 14,000,000,000 or 1.4 × 10¹⁰ years.

Therefore, In

                           1 year there are  =  365 years

So, In

                  1.4 × 10¹⁰ years  there will be  =  X years,

Solving for X,

                     X =  1.4 × 10¹⁰ years × 365 days / 1 year

                      X =  5.11 × 10¹² days

Secondly, as there are 24 hours per day and each hour has 60 minutes and each minute has 60 seconds, therefore, the number of seconds per day are calculated as,

Number of Sec/day = 24 × 60 × 60

Number of Sec/day = 86400 sec/day

Hence, If,

                               1 day has  =  86400 seconds

then,

                    5.11 × 10¹² days will contain  = X seconds

Solving for X,

                      X =  5.11 × 10¹² days × 86400 sec / 1 day

                     X  =  4.41 × 10¹⁷ Seconds