If the measured value of a quantity is 100 with a relative error of 0.02, what i

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Question: If the measured value of a quantity is 100 with a relative error of 0.02, what is the absolute error?

Options:

Correct Answer: 2

Solution:

Absolute error = Relative error * Measured value = 0.02 * 100 = 2.

If the measured value of a quantity is 100 with a relative error of 0.02, what is the absolute error?

If the measured value of a quantity is 100 with a relative error of 0.02, what is the absolute error?

Step 1: Understand what relative error means. It is a way to express how much the measured value could be off compared to the actual value.
Step 2: Identify the measured value given in the question, which is 100.
Step 3: Identify the relative error given in the question, which is 0.02.
Step 4: To find the absolute error, use the formula: Absolute error = Relative error * Measured value.
Step 5: Plug in the values: Absolute error = 0.02 * 100.
Step 6: Calculate the result: 0.02 * 100 = 2.
Step 7: Conclude that the absolute error is 2.

Relative Error – Relative error is the ratio of the absolute error to the measured value, often expressed as a percentage or decimal.
Absolute Error – Absolute error is the difference between the measured value and the true value, indicating the magnitude of the error.
Calculation of Errors – Understanding how to calculate absolute error from relative error and measured value.