Relationship between milligrams (mg) and micrograms (mcg) in detail.
Step 1: Understanding the Metric System
The metric system is based on powers of 10, which means that each unit is a multiple or fraction of 10. The milligram (mg) and microgram (mcg) are both units used to measure very small quantities of mass, but they represent different scales.
Step 2: Conversion Factor
The conversion between milligrams (mg) and micrograms (mcg) is as follows:
1 milligram (mg)=1000 micrograms (mcg)1 milligram (mg) = 1000 micrograms (mcg)
This means that 1 milligram is equal to 1000 micrograms.
Step 3: Explanation of the Conversion
- Milligrams (mg) are larger than micrograms (mcg).
- A microgram is one-thousandth (1/1000) of a milligram. Therefore, to convert milligrams to micrograms, we multiply by 1000.
Example:
If you have 1 milligram (mg), how many micrograms is that?
1 mg=1000 mcg1mg = 1000mcg
So, 1 milligram (mg) = 1000 micrograms (mcg).
Step 4: How to Convert From Micrograms to Milligrams
If you need to convert micrograms to milligrams, you simply divide by 1000.
For example, if you have 5000 micrograms (mcg), you would convert it to milligrams like this:
5000 mcg÷1000=5 mg5000 mcg div 1000 = 5 mg
Recap:
- 1 milligram (mg) = 1000 micrograms (mcg)
- To convert from milligrams to micrograms, multiply by 1000.
- To convert from micrograms to milligrams, divide by 1000.
Conclusion:
In summary, 1 milligram (mg) = 1000 micrograms (mcg). This is a simple and direct conversion based on the metric system’s structure.