How many grams is equal to 750 milligrams?
The correct answer and explanation is:
Correct Answer:
750 milligrams is equal to 0.75 grams.
Explanation (300 words):
To convert milligrams (mg) to grams (g), it’s important to understand the relationship between these two units of mass. Both milligrams and grams are metric units, and the metric system is based on powers of 10, which makes conversions straightforward.
Basic Conversion Factor:
- 1 gram = 1,000 milligrams
- This also means that:
- 1 milligram = 0.001 grams
So, when you’re given a quantity in milligrams and want to convert it to grams, you simply divide the number of milligrams by 1,000: Grams=Milligrams1000\text{Grams} = \frac{\text{Milligrams}}{1000}
Apply the Formula:
Grams=7501000=0.75 grams\text{Grams} = \frac{750}{1000} = 0.75 \text{ grams}
Therefore, 750 mg equals 0.75 g.
Why This Conversion Matters:
Understanding unit conversions is essential in many areas such as medicine, chemistry, cooking, and nutrition:
- In healthcare, doses of medication might be prescribed in milligrams, but a pharmacy might dispense the drug in grams.
- In chemistry, small quantities of substances are often measured in milligrams for precision.
- Nutrition labels often list contents in grams, but supplements might use milligrams.
Misunderstanding conversions can lead to serious errors, especially in medication dosages where taking 750 grams instead of 750 milligrams would be dangerously incorrect (750 grams = ¾ of a kilogram!).
Key Tip:
To convert from mg to g, move the decimal point three places to the left, because 1,000 mg = 1 g.
Example:
750 mg → 0.750 g → 0.75 grams
Always double-check your decimal placement when converting between metric units!