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Chapter 8: Problem 52

Complete. $$ 0.075 \mathrm{mg}=\quad\mathrm{mcg} $$

Short Answer

Expert verified
0.075 mg = 75 mcg

Step by step solution

01

Understand the units

Recognize that mg stands for milligrams and mcg stands for micrograms. 1 mg is equal to 1000 mcg.
02

Set up the conversion

To convert milligrams to micrograms, multiply the number of milligrams by 1000.
03

Perform the calculation

Calculate: \( 0.075 \text{ mg} \times 1000 = 75 \text{ mcg} \)

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

milligrams to micrograms
Converting milligrams (mg) to micrograms (mcg) is a common task in science and medicine. Understanding how to do this is essential for accurate calculations. One milligram is equal to 1,000 micrograms. The prefix 'milli' means one-thousandth (0.001), while the prefix 'micro' means one-millionth (0.000001). Therefore, converting milligrams to micrograms involves multiplying the amount in milligrams by 1,000. For example, to convert 0.075 mg to mcg, you would calculate:
0.075 mg 脳 1,000 = 75 mcg.
conversion factor
A conversion factor is a value used to change the units of a quantity without changing its value. It acts as a multiplier. When converting milligrams to micrograms, the conversion factor is 1,000, because there are 1,000 micrograms in one milligram.
To use a conversion factor, set up your calculation so that your units cancel out correctly.
For example:
  • Start with the quantity you need to convert (0.075 mg).

  • Multiply by the conversion factor (1,000 mcg/mg).

  • This cancels out milligrams and leaves you with micrograms.
Following this method ensures accurate and reliable conversions, which is particularly crucial in precise fields like chemistry and pharmacology.
metric units
The metric system is an international system of measurement used by most of the world. It鈥檚 based on powers of ten, which makes conversions straightforward. Key metric units for mass include grams (g), milligrams (mg), and micrograms (mcg).
Understanding how to convert between these units is very useful. Here are the basic relationships you need to know:
  • 1 gram (g) = 1,000 milligrams (mg)

  • 1 milligram (mg) = 1,000 micrograms (mcg)
Using these relationships, you can easily convert between different metric units by multiplying or dividing by the appropriate factor of ten. This consistency is why the metric system is preferred for scientific calculations.

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