The weight of a rock sample is measured to be 2.5 pounds. What is the percent of error in the measurement?

Question

The weight of a rock sample is measured to be 2.5 pounds. What is the percent of error in the measurement?

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    0
    2021-10-14T21:02:37+00:00

    Alright, lets get started.

    The margin of error is understood to be half the value of the last significant place.

    The last significant place for 2.5 pound is the tenths place.

    A tenth is 0.1, so half of that is 0.05.

    If 0.05 is the measurement error, the correct measurement will be :

     2.5 + 0.05 = 2.55

    or

     2.5 - 0.05 = 2.45

    So, percentage of error would be :

     \frac{2.55 - 2.5 }{2.55} * 100

    2 %

    Similarly,

    Percentage of error would be :

     \frac{2.5 - 2.45}{2.45} * 100

    2 %

    Hence error percentage would be 2 % : Answer

    Hope it will help 🙂

    0
    2021-10-14T21:03:03+00:00

    5%, I believe this is correct

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