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Measurement, You Calculate Measured Value 21.953643290pm 5.3326435 You Write Average Value

Question

In a measurement, you calculate its measured value to be 21.953643290pm 5.3326435 How should you write down its average value as an answer?

Solution

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Answer

###

Explanation

## Step 1: Identifying Significant Figures in Uncertainty### The uncertainty has two significant figures (determined by the first two digits, 5 and 3, as the first digit after the decimal point is non-zero). We round the uncertainty to two significant figures, resulting in 5.3.## Step 2: Rounding the Measurement### The average value, , needs to be rounded to the same decimal place as the uncertainty, which is the tenths place. Rounding to the tenths place gives .## Step 3: Final Representation### The final answer should be written as . This reflects the precision of the measurement based on the significant figures in the uncertainty.