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
4.4
(283 Votes)
York
Elite ยท Tutor for 8 years
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.