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Math Help - Conversion help

  1. #1
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    Conversion help

    here is the problem i m stuck on.. can someone help me get the answer..
    i m really more interested then the work then the answer.

    Convert 8.2mg/mL to (micro)g/L
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  2. #2
    Super Member Matt Westwood's Avatar
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    Ooh delightful, a question in metric! That doesn't often happen round here. Full marks to the teacher.

    There's 8.2 mg in every mL. There are 1000 mL in each L. So there's 1000 times as many mg in every L as there are in every mL. So multiply the 8.2 by 1000 to get the number of mg in every L.

    Then there are 1000 microg in every mg. So there's 8.2 x 1000 microg in every mL. So theres 8.2 x1000 x1000 microg in every L.

    Does that help?
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  3. #3
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    Quote Originally Posted by Matt Westwood View Post
    Ooh delightful, a question in metric! That doesn't often happen round here. Full marks to the teacher.

    There's 8.2 mg in every mL. There are 1000 mL in each L. So there's 1000 times as many mg in every L as there are in every mL. So multiply the 8.2 by 1000 to get the number of mg in every L.

    Then there are 1000 microg in every mg. So there's 8.2 x 1000 microg in every mL. So theres 8.2 x1000 x1000 microg in every L.

    Does that help?
    not really.. its hard for me to understand it without math.. this is how i do it and i m getting the way wrong answer:

    (8.2mg/1ml) x (10^-3 g / 1mg) = .0082g

    .0082g/1 ) x ( 1 microg / 10^-6) = 8200

    i m way wrong, but u see the way i do it.. can u show me that way how u got ur answeR??
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  4. #4
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    not really.. its hard for me to understand it without math.. this is how i do it and i m getting the way wrong answer:

    (8.2mg/1ml) x (10^-3 g / 1mg) = .0082g

    .0082g/1 ) x ( 1 microg / 10^-6) = 8200

    i m way wrong, but u see the way i do it.. can u show me that way how u got ur answeR??
    see if either of the methods employed here can help you

    one of them is doing exactly as Matt pointed out, but it is set out to look familiar to the method you are using
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  5. #5
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    Quote Originally Posted by Jhevon View Post
    see if either of the methods employed here can help you

    one of them is doing exactly as Matt pointed out, but it is set out to look familiar to the method you are using

    yah i understand those easier problems with 1 conversion.. but these problems have a dual conversion it seems to me and i m absolutly lost.
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  6. #6
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    yah i understand those easier problems with 1 conversion.. but these problems have a dual conversion it seems to me and i m absolutly lost.
    just apply the method twice then. convert to one unit, then use the method again to convert the other
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  7. #7
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    Convert 8.2mg/mL to (micro)g/L


    ok so convert 82.mg/ml into g/l to mcg/l i duno. can u show me the steps
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  8. #8
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    Convert 8.2mg/mL to (micro)g/L


    ok so convert 82.mg/ml into g/l to mcg/l i duno. can u show me the steps
    answer me this:

    1 mg = ? g

    and

    1 g = ? mcg

    also,

    1 ml = ? L
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  9. #9
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    1 mg = .001 g



    1 g = 1000mcg



    1 ml = .001 L


    right?
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  10. #10
    Super Member Matt Westwood's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    not really.. its hard for me to understand it without math.. this is how i do it and i m getting the way wrong answer:

    (8.2mg/1ml) x (10^-3 g / 1mg) = .0082g

    .0082g/1 ) x ( 1 microg / 10^-6) = 8200

    i m way wrong, but u see the way i do it.. can u show me that way how u got ur answeR??
    You've successfully calculated the concentration in microg per mL, but the question calls for microg per L.
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  11. #11
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    1 mg = .001 g



    1 g = 1000mcg



    1 ml = .001 L


    right?
    no, 1 g = 1000000 micrograms

    so that means, wherever you see mg, you can change it to 0.001g. then simplify. then change the g to 1000000 mcg then simplify, then change the ml to 0.001L and simplify, and you are done.

    can you show your steps now?
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  12. #12
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    Convert 8.2mg/mL to (micro)g/L

    write it like a grid to solve the conversion problems here.

    Code:
    8.2 mg | 
    -------+
     1 mL  |
    Then since there is 1000 (mL) in 1 (L) and you need to cancel the (mL), put it on top


    Code:
    8.2 mg | 1000 mL |
    -------+---------+
     1 mL  |   1 L   |
    Same for mg to (micro)g. There are 1000 (micro)g in 1 mg. mg goes on bottom to cancel the one already on top.

    Code:
    8.2 mg | 1000 mL | 1000 (micro)g |
    -------+---------+---------------|
     1 mL  |   1 L  |     1 mg      |
    The horizontal line is devide and vertical lines become multiply. The mg and mL cancel and the proper units remain in the proper place.
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  13. #13
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    yes thank you every1! i got it ! ty alot.

    here is what i did:

    8.2mg/1mL (1mL / 10^-3 L)(10^-3 g/1 mcg)= 8.2 g/L

    8.2g/L (10^6 mcg/1g) = 8.2 x 10^6

    is what i did logical? i got the right answer though!
    Last edited by Legendsn3verdie; September 7th 2008 at 01:58 PM.
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  14. #14
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Legendsn3verdie View Post
    yes thank you every1! i got it ! ty alot.

    here is what i did:

    8.2mg/1mL (1mL / 10^-3 L)(10^-3 g/1 mg)= 8.2 g/L

    8.2g/L (10^6 mcg/1g) = 8.2 x 10^6

    is what i did logical? i got the right answer though!
    yup, that's good

    don't forget your units at the end
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