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Math Help - Max possible error in this addition

  1. #1
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    Max possible error in this addition

    Okay so the homework is FROM physics, but its 100% math.

    Q: Find the max possible error or (absolute) uncertainty for the following measurements --> 4.5 +/- .5 m + 1.5 +/- .5 m

    Solution:

    So my first and only thought would be to add the uncertainties but there is no answer so I don't know.... i.e. in this case, .5 + .5 = 1.0m Therefore max possible uncertainty would be 1.0m ..

    Can anyone confirm, deny, correct me ?
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  2. #2
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    Hello, mike_302!

    Find the max possible error or (absolute) uncertainty for the following measurements: . (4.5 \pm 0.5) + (1.5 \pm0.5) meters.

    The maximum error occurs in two ways.

    Both measurements are over by 0.5 m.
    . . The error would be: +1.0\text{ m.}

    Both measurements are under by 0.5 m.
    . . The error would be: -1.0\text{ m.}


    The maximum error would be: .  \pm1.0\text{ m}

    . . Off by as much as a meter in either direction.
    .
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  3. #3
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    Okay so really you are just adding the two "max possible error" values... and if they were +/- .3 and +/- .6 respectively, then the max possible error in the addition would be +/- .9 .

    Thank you very much ! =D
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