Questions: A scientist makes a measurement and gets a value of 0.93 s. The true value is 1.00 s. Calculate the absolute and relative error. Round your answers to a reasonable number of decimal places. Also be sure your answers include any necessary symbols. absolute error: relative error:

Solution Steps

The absolute error is the difference between the measured value and the true value.

\[ \text{Absolute Error} = \left| \text{Measured Value} - \text{True Value} \right| \]

Given:

• Measured Value = 0.93 s
• True Value = 1.00 s

\[ \text{Absolute Error} = \left| 0.93 - 1.00 \right| = 0.07 \, \text{s} \]

The relative error is the absolute error divided by the true value, often expressed as a percentage.

\[ \text{Relative Error} = \frac{\text{Absolute Error}}{\text{True Value}} \]

\[ \text{Relative Error} = \frac{0.07}{1.00} = 0.07 \]

Final Answer