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A weight is measured as 10 kg with a relative error of 0.1. What is the absolute
Practice Questions
Q1
A weight is measured as 10 kg with a relative error of 0.1. What is the absolute error?
1 kg
0.1 kg
0.5 kg
0.2 kg
Questions & Step-by-Step Solutions
A weight is measured as 10 kg with a relative error of 0.1. What is the absolute error?
Steps
Concepts
Step 1: Understand what relative error means. It is a way to express how much the measured value can vary compared to the true value.
Step 2: Identify the given values. The weight is measured as 10 kg and the relative error is 0.1.
Step 3: Use the formula for absolute error, which is: Absolute error = Relative error * True value.
Step 4: Plug in the values into the formula. Here, the relative error is 0.1 and the true value (weight) is 10 kg.
Step 5: Calculate the absolute error: 0.1 * 10 = 1 kg.
Step 6: Conclude that the absolute error is 1 kg.
Relative Error
– Relative error is the ratio of the absolute error to the true value, often expressed as a percentage.
Absolute Error
– Absolute error is the difference between the measured value and the true value, indicating the accuracy of the measurement.
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