What is the percent error for a measurement of 2 tons? If needed, round your answer to the nearest hundredth of a percent. ____%

Find Error in Tons: Find the greatest possible error for 2 tons. Divide the smallest unit of measurement by 2. Assuming the smallest unit of measurement is 1 pound (since the problem does not specify), and there are 2000 pounds in a ton: 1/2 = 0.5 pounds Greatest possible error in tons: 0.5 pounds / 2000 pounds/ton = 0.00025 tonsCalculate Percent Error: Calculate the percent error. We have: Measurement: 2 tons Greatest possible error: 0.00025 tons Percent error = (Greatest possible error / Measurement) × 100% Percent error = (0.00025 / 2) × 100% = 0.000125 × 100% = 0.0125%Round to Nearest Hundredth: Round the answer to the nearest hundredth of a percent. 0.0125% rounded to the nearest hundredth of a percent is 0.01%.

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What is the percent error for a measurement of $2$ tons? $\newline$ If needed, round your answer to the nearest hundredth of a percent. $\newline$ $\newline$ $\_\_\_\%$

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Q. What is the percent error for a measurement of

2

tons?

\newline

If needed, round your answer to the nearest hundredth of a percent.

\newline

\newline

\_\_\_\%

Find Error in Tons: Find the greatest possible error for $2$ tons. $\newline$ Divide the smallest unit of measurement by $2$ . $\newline$ Assuming the smallest unit of measurement is $1$ pound (since the problem does not specify), and there are $2000$ pounds in a ton: $\newline$ $\frac{1}{2} = 0.5$ pounds $\newline$ Greatest possible error in tons: $\frac{0.5 \text{ pounds}}{2000 \text{ pounds/ton}} = 0.00025$ tons
Calculate Percent Error: Calculate the percent error. $\newline$ We have: $\newline$ Measurement: $2$ tons $\newline$ Greatest possible error: $0.00025$ tons $\newline$ Percent error = $(\text{Greatest possible error} / \text{Measurement}) \times 100\%$ $\newline$ Percent error = $(0.00025 / 2) \times 100\%$ $\newline$ = $0.000125 \times 100\%$ $\newline$ = $0.0125\%$
Round to Nearest Hundredth: Round the answer to the nearest hundredth of a percent. $0.0125\%$ rounded to the nearest hundredth of a percent is $0.01\%$ .