Results 1 to 5 of 5

Math Help - Scientific Notation

  1. #1
    Banned
    Joined
    Dec 2009
    From
    NYC
    Posts
    84

    Scientific Notation

    One light-year is the distance light travels in a 365-day year. The speed of light is about 186,282.4 miles per second.

    (a) How long is 1 light year in miles? Express your answer is scientific notation.

    (b) Light from the North star takes 680 years to reach the earth. How many miles is the North star from earth?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Feb 2008
    Posts
    383
    a) 5.88 * 10^{12}
    b) 5,878,499,562,554*680 = 3.9973797 * 10^{15}

    above is the info. from google.

    if you were to calculate it from the info given.

    a) 186,282.4*60*60*24*7*52=5.86*10^{12}
    answer to your part a in your calculator to reduce error.
    part(a)*680 = 3.98*10^{15}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Banned
    Joined
    Dec 2009
    From
    NYC
    Posts
    84

    but...

    Quote Originally Posted by BabyMilo View Post
    a) 5.88 * 10^{12}
    b) 5,878,499,562,554*680 = 3.9973797 * 10^{15}

    above is the info. from google.

    if you were to calculate it from the info given.

    a) 186,282.4*60*60*24*7*52=5.86*10^{12}
    answer to your part a in your calculator to reduce error.
    part(a)*680 = 3.98*10^{15}
    I could have searched google. I want to know how this is done manually?

    Can you explain the algebra part more in detail?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member
    Joined
    Nov 2009
    Posts
    33
    Quote Originally Posted by sologuitar View Post
    (a) How long is 1 light year in miles? Express your answer is scientific notation.
    I don't think I can LaTeX this one up, so I'm going for a code block.

    This is the unit analysis. I've used the computer format such as "3e8" to represent numbers in scientific notation such as 3 \times 10^8.

    Code:
             3e8 m   3600 s   24 hr   365 d    mile
    1 year * ----- * ------ * ----- * ----- * ------
               s       hr       d     year    1609 m
    Years cancel out. So do s, hr, days, and meters. The only unit left is miles.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Banned
    Joined
    Dec 2009
    From
    NYC
    Posts
    84

    ok

    Quote Originally Posted by Haversine View Post
    I don't think I can LaTeX this one up, so I'm going for a code block.

    This is the unit analysis. I've used the computer format such as "3e8" to represent numbers in scientific notation such as 3 \times 10^8.

    Code:
             3e8 m   3600 s   24 hr   365 d    mile
    1 year * ----- * ------ * ----- * ----- * ------
               s       hr       d     year    1609 m
    Years cancel out. So do s, hr, days, and meters. The only unit left is miles.
    Thank you.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Scientific notation
    Posted in the Algebra Forum
    Replies: 27
    Last Post: September 6th 2010, 10:51 PM
  2. scientific notation
    Posted in the Calculators Forum
    Replies: 0
    Last Post: September 23rd 2009, 01:40 PM
  3. scientific notation
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 23rd 2008, 05:54 AM
  4. Scientific Notation
    Posted in the Algebra Forum
    Replies: 13
    Last Post: April 1st 2007, 10:59 AM
  5. Scientific notation
    Posted in the Algebra Forum
    Replies: 1
    Last Post: December 28th 2006, 09:24 PM

Search Tags


/mathhelpforum @mathhelpforum