Calculate the error and the percentage error

Mathematics

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Answer

0.002 g\text{0.002 g}

0.0442%\text{0.0442\%}

Step-by-step solution

3 steps
  1. Identify the error (absolute uncertainty).

    From the previous calculation, the error in the weight of the metal disc is the absolute uncertainty.

    Error=ΔMd=0.002 g\text{Error} = \Delta M_d = 0.002 \, \text{g}
  2. Identify the measured value.

    The calculated weight (mass) of the metal disc is the measured value.

    Measured Value=Md=4.525 g\text{Measured Value} = M_d = 4.525 \, \text{g}
  3. Calculate the percentage error.

    The percentage error is calculated using the formula:

    Percentage Error=Absolute ErrorMeasured Value×100%\text{Percentage Error} = \frac{\text{Absolute Error}}{\text{Measured Value}} \times 100\% Percentage Error=0.002 g4.525 g×100%\text{Percentage Error} = \frac{0.002 \, \text{g}}{4.525 \, \text{g}} \times 100\% Percentage Error=0.00044198895×100%\text{Percentage Error} = 0.00044198895 \times 100\% Percentage Error≈0.0442%\text{Percentage Error} \approx 0.0442\%

    The error is 0.002 g\boxed{\text{0.002 g}} and the percentage error is \boxed{\text{0.0442%}}.

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