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For positive error, the correction is....

For positive error, the correction is.

A

Positive

B

negative

C

nil

D

may be positive or negative

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "For positive error, the correction is," we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Error**: - In measurements, an error can be classified as positive or negative. A positive error indicates that the measured value is greater than the actual value. 2. **Define the Variables**: - Let the actual value of the quantity be represented as \( x \). - Let the error be represented as \( \Delta x \). 3. **Express the Measured Value**: - If there is a positive error, the measured value can be expressed as: \[ \text{Measured Value} = x + \Delta x \] - Here, \( x + \Delta x \) is greater than \( x \) because \( \Delta x \) is positive. 4. **Determine the Correction Needed**: - To find the actual value \( x \) from the measured value \( x + \Delta x \), we need to correct the measured value by removing the error. - This means we need to subtract \( \Delta x \) from the measured value: \[ \text{Correction} = x + \Delta x - \Delta x = x \] - Therefore, the correction needed is: \[ \text{Correction} = -\Delta x \] 5. **Conclusion**: - Since we are subtracting \( \Delta x \) to correct the positive error, the correction is negative. Thus, the answer to the question is that the correction for a positive error is negative. ### Final Answer: - The correction for a positive error is **negative**. ---
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