Use metric conversion factors to solve each of the following problems:a. The Daily Value (DV) for phosphorus is 800 mg. Howmany grams of phosphorus are recommended?

Verified step by step guidance

1. Identify the given value and the units you need to convert from and to. Here, you have 800 mg of phosphorus, and you need to convert it to grams.
2. Recall the conversion factor between milligrams and grams. There are 1000 milligrams in 1 gram.
3. Set up the conversion by writing the given value (800 mg) and multiply it by the conversion factor that will cancel out milligrams and leave you with grams. This can be expressed as: \( 800 \, \text{mg} \times \frac{1 \, \text{g}}{1000 \, \text{mg}} \).
4. Perform the multiplication and division to convert the units. This involves multiplying 800 by 1 and then dividing by 1000.
5. The result will give you the equivalent amount of phosphorus in grams.

Key Concepts

Metric Units

The metric system is a decimal-based system of measurement used globally, where units are based on powers of ten. Common metric units include grams (g) for mass and milliliters (mL) for volume. Understanding the relationship between these units is essential for converting measurements, such as converting milligrams to grams.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equal to another unit. They are used to convert measurements from one unit to another, such as converting milligrams to grams. For example, knowing that 1 gram equals 1000 milligrams allows for straightforward conversions by multiplying or dividing by the appropriate factor.

Daily Value (DV)

The Daily Value (DV) is a reference value used on food labels to indicate how much a nutrient contributes to a daily diet, based on a standard intake. For phosphorus, the DV is set at 800 mg, which helps individuals understand their nutrient intake in relation to their dietary needs. Converting this value into grams is important for clarity and proper dietary planning.