Math(Please help, thank you)

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I am trying to calculate my percent error for an experiment conducted. I need to compare my average density calculated to the accepted average density but I am having trouble doing this because of the conversions.

My average density was 0.12 g/mm^3. The accepted value is for iron which is 7.8 X 10^3 kg/m^3.

So to get 0.12 g to kg I multiplied by 1000 and got 120.

Then I subtracted 120 from 7.80 X 10^3.

Is this correct so far??

  • Math(Please help, thank you) -

    You got it backwards:

    0.12kg is 120g
    0.12g = 0.00012kg

    .12g * 1kg/1000g = .00012kg

  • Math(Please help, thank you) -

    Oops. Forgot to include the volume:

    .12g/mm^3 * 1kg/1000g * 1m^3/(1000mm)^3 = 120000kg/m^3

  • Math(Please help, thank you) -

    Oh ok so now to find the percent error do I subtract 120,000 from 7800 and then multiply by 100?

  • Math(Please help, thank you) -

    well, if the correct value is 10, and you get 12, then the percent error is (12-10)/10 * 100 = 20%

    Yours is figured the same way, but the values are so different, I wonder whether there is something wrong here.

  • Math(Please help, thank you) -

    Yes my data is probably wrong I'm just not sure where I messed up

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