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------------------------------------------------ What is the measurement of [tex]$38.8 \times 10^5 \, \text{g}$[/tex] expressed with prefix multipliers?

A) 3.88 mg
B) 388 kg
C) 3.88 kg
D) 38.8 g

The measurement of 38.8 x 10⁵ g expressed with prefix multipliers is 3.88 kg, which corresponds to option C. This conversion is based on dividing by 10³ to change grams into kilograms, the SI base unit of mass.

Explanation:

To express the measurement of 38.8 x 10⁵ g using prefix multipliers, we first convert the measurement to kilograms (kg) because the kilogram is the SI base unit of mass. We know that 1 kilogram is equal to 10³ grams. Hence, to convert grams to kilograms, you can divide by 10³:

38.8 x 10⁵ g = 38.8 x 10² kg = 3.88 x 10³ kg,

Looking at the options given, we see that 3.88 kg is the correct representation using metric prefixes, which makes option C correct. This tells us that 3.88 kg is the equivalent of 3.88 x 10³ kilograms or 3,880 grams when we return to the base unit without prefix multipliers.