A weight is measured as 10 kg with a relative error of 0.1. What is the absolute

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Question: A weight is measured as 10 kg with a relative error of 0.1. What is the absolute error?

Options:

Correct Answer: 1 kg

Solution:

Absolute error = Relative error * True value = 0.1 * 10 = 1 kg.

A weight is measured as 10 kg with a relative error of 0.1. What is the absolute error?

A weight is measured as 10 kg with a relative error of 0.1. What is the absolute error?

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.