Final Answer:
to convert milligrams (mg) to micrograms (mcg), you multiply the given amount in milligrams by 1000. Therefore, the correct answer is option d. 5700.
Step-by-step explanation:
The conversion between milligrams (mg) and micrograms (mcg) involves multiplying the given value in milligrams by 1000, as there are 1000 micrograms in 1 milligram. In this case, to find the equivalent in micrograms for 5.7 mg, you perform the calculation 5.7 mg * 1000, resulting in 5700 mcg.
This conversion is based on the metric system, where prefixes represent different magnitudes of the unit. The prefix "micro-" denotes a factor of 0.000001, and "milli-" denotes a factor of 0.001. Therefore, when transitioning from milligrams to micrograms, the value increases by a factor of 1000.
Understanding these conversion factors is essential in various fields, including medicine and pharmacology, where precise dosage measurements are crucial. Expressing quantities in different units allows for flexibility and consistency in communicating measurements.
Therefore, the correct answer is option d. 5700.