Ask Question
6 April, 21:46

The age of the universe is thought to be about 14 billion years. Assuming two significant figures, (a) write this in exponential notation in units of years, and (b) use the method shown in class to convert this to seconds. Give your answer in exponential notation.

+1
Answers (1)
  1. 6 April, 22:26
    0
    a) 14*10⁹ years

    b) 4.4*10¹⁷ seconds

    Explanation:

    1 billion years = 1000000000 years

    1000000000 years = 10⁹ years

    14 billion years

    = 14*1000000000 years

    = 14000000000 years

    = 14*10⁹ years

    ∴ 14 billion years = 14*10⁹ years

    b) 1 year = 365.25*24*60*60 seconds

    14*10⁹ years = 14*10⁹*365.25*24*60*60

    = 441806400*10⁹ seconds

    Rounding off, we get

    = 4.4*10⁸*10⁹

    = 4.4*10¹⁷ seconds

    ∴ 14 billion years = 4.4*10¹⁷ seconds
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “The age of the universe is thought to be about 14 billion years. Assuming two significant figures, (a) write this in exponential notation ...” in 📘 Physics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers