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What is the greatest possible error for a measurement of $25$ centimeters? $\newline$ $\newline$ $\_\_\_$ centimeters $\newline$

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Greatest possible error

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Q. What is the greatest possible error for a measurement of

25

centimeters?

\newline

\newline

\_\_\_

centimeters

\newline

Determine Precision: Determine the precision for the measurement of $25$ centimeters. $\newline$ Since the measurement is given as $25$ centimeters without any decimal places or further precision, we can assume that the measurement is precise to the nearest whole centimeter. $\newline$ Precision: $1$ centimeter
Calculate Error: Calculate the greatest possible error based on the precision. $\newline$ The greatest possible error for a measurement is half of the unit of precision. In this case, the precision is $1$ centimeter, so the greatest possible error is half of that. $\newline$ Greatest possible error $= \frac{\text{Precision}}{2}$ $\newline$ $= \frac{1\,\text{cm}}{2}$ $\newline$ $= 0.5$ centimeters

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