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if the known mass of an object is 2.5 grams, which of the following mea…

Question

if the known mass of an object is 2.5 grams, which of the following measurements is most accurate? measurements: 2.49 g (teal), 0.26 g (orange), 4.29 g (purple), 2.75 g (yellow)

Explanation:

Step1: Calculate absolute error for 2.49 g

Absolute error = $|2.49 - 2.5| = 0.01$ g

Step2: Calculate absolute error for 0.26 g

Absolute error = $|0.26 - 2.5| = 2.24$ g

Step3: Calculate absolute error for 4.29 g

Absolute error = $|4.29 - 2.5| = 1.79$ g

Step4: Calculate absolute error for 2.75 g

Absolute error = $|2.75 - 2.5| = 0.25$ g

Step5: Compare absolute errors

0.01 g (for 2.49 g) is the smallest among 0.01, 2.24, 1.79, 0.25. Smaller absolute error means more accurate measurement.

Answer:

2.49 g