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Math Help - to convert mg to kg

  1. #1
    Senior Member
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    Oct 2009
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    to convert mg to kg

    Hi

    I want help to convert mg to kg

    ex: 1250mg --- > kg

    Are we multiply 1250mg X 10^-3

    or multiply 1250mg X 10^-6


    I want your help >>
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  2. #2
    MHF Contributor

    Joined
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    10^{-6}

    You know, I presume, that 1 kg is much larger than 1 g. So 1250 mg will be a much smaller number of kg.

    A more detailed way of looking at it: There are 1000 "milli"gram in a gram: 1= \frac{1000 mg}{1 g} and 1000 grams in a "kilo"gram.

    So (1000 mg/g)(1000 g/kg)= 1000000 mg/kg= 10^6 mg/kg- the "grams" cancel.

    Since you have "mg" and want to end with kg, you need to multiply by kg/mg: mg(kg/mg)= kg

    10^6 mg/kg is the same as 10^{-6} kg/mg
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