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Math Help - Large Calculations to Hours, Minutes, Seconds

  1. #1
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    Large Calculations to Hours, Minutes, Seconds

    Am I correct in thinking I have worked out the following question correctly?

    Question 1
    1.77843714 1014 (please note the raising of 14, not sure how to do subscript) divided by 15 thousand million commands per sec.

    I worked this out as:

    177 843 714 000 000 divided by 15 000 000 000 = 11 856.2476 secs


    Before carrying on ... My concerns
    a) Have I converted 1.77843714 1014 to the correct long form of 177 843 714 000 000?
    b) Have I added the correct number of 0's for 15 thousand million ( 15 000 000 000 )?

    OK

    Now for converting to Hours, minutes, seconds....

    11 856.2476 secs in hours =(11 856.2476 / 60) / 60 = 3.29340211 hours

    My concerns

    Have I used the right calculation for changing into hours and I am guessing that the number after the decimal is a deciamal of the hours (or fraction of the hours?) so I would have to take the .29340211 and do the following..........

    (60 / 100) * 0.29340211 = 0.176041266

    So I now have 3 hours and 176041266 minutes (Am I correct)

    Now ater this (If I am thinking along the right lines, how would I get the minutes??)





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  2. #2
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    Any ideas?
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  3. #3
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    Quote Originally Posted by markjones View Post
    Am I correct in thinking I have worked out the following question correctly?

    Question 1
    1.77843714 1014 (please note the raising of 14, not sure how to do subscript) divided by 15 thousand million commands per sec.

    I worked this out as:

    177 843 714 000 000 divided by 15 000 000 000 = 11 856.2476 secs


    Before carrying on ... My concerns
    a) Have I converted 1.77843714 1014 to the correct long form of 177 843 714 000 000? Yes
    b) Have I added the correct number of 0's for 15 thousand million ( 15 000 000 000 )?Yes

    OK

    Now for converting to Hours, minutes, seconds....

    11 856.2476 secs in hours =(11 856.2476 / 60) / 60 = 3.29340211 hours

    My concerns

    Have I used the right calculation for changing into hours and I am guessing that the number after the decimal is a deciamal of the hours (or fraction of the hours?) Yes so I would have to take the .29340211 and do the following..........

    (60 / 100) * 0.29340211 = 0.176041266 No

    So I now have 3 hours and 176041266 minutes (Am I correct)

    Now ater this (If I am thinking along the right lines, how would I get the minutes??)





    I'll show you with an example how to convert a decimal number into hours, minutes and seconds:

    If you have
    3.2875 \ h~\rightarrow~3\ h + 0.2875\cdot 60\ min = 3\ h~ 17.25\ min~\rightarrow~3\ h~17\ min + 0.25\cdot 60\ s = 3\ h~17\ min~15\ s
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  4. #4
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    <br />
    " alt="3.2875 \ h~\rightarrow~3\ h + 0.2875\cdot 60\ min = 3\ h~ 17.25\ min~\rightarrow~3\ h~17\ min + 0.25\cdot 60\ s =
    " />


    Sorry I dont understand the answer. How can you have 2 decimal points in a number
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  5. #5
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    Quote Originally Posted by earboth View Post
    I'll show you with an example how to convert a decimal number into hours, minutes and seconds:

    If you have
    3.2875 \ h~\rightarrow~3\ h + 0.2875\cdot 60\ min = 3\ h~ 17.25\ min~\rightarrow~3\ h~17\ min + 0.25\cdot 60\ s = 3\ h~17\ min~15\ s
    Sorry I dont understand this. You have 2 points in one number? Or is it a * (multiply) ?
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  6. #6
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    Quote Originally Posted by markjones View Post
    Sorry I dont understand this. You have 2 points in one number? Or is it a * (multiply) ?
    The second "decimal point" is the multiplication sign.

    In general you have to do:

    1. Subtract the integer part of the values of hours.
    2. Multiply the fractional part by 60. You'll get the minutes.

    3. Subtract the integer part of minutes.
    4. Multiply the fractional part by 60. You'll get the seconds.

    With your numbers:

    \dfrac{177 843 714 000 000}{15 000 000 000 \cdot 3600}= 3.293402111...\ h = 3\ h \ 17\ min\  36.25\ s
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  7. #7
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    Thanks for all your help. I learnt something as well, never new that symbol was for multiplication. It's a long time since I have done math and you soon forget
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