Use metric conversion factors to solve each of the following problems: c. A package of chocolate instant pudding contains 2840 mg of sodium. How many grams of sodium are in the pudding?

Verified step by step guidance

1. Identify the given quantity: 2840 mg of sodium.
2. Recognize the conversion factor between milligrams and grams: 1 gram = 1000 milligrams.
3. Set up the conversion by dividing the given milligrams by the conversion factor: $\text{grams of sodium}=\frac{2840\text{ mg}}{1000\text{ mg/g}}$.
4. Perform the division to convert milligrams to grams.
5. The result will give you the amount of sodium in grams.

Key Concepts

Metric Conversion

Metric conversion involves changing a measurement from one unit to another within the metric system. In this case, converting milligrams (mg) to grams (g) is necessary, where 1 gram equals 1000 milligrams. Understanding this conversion is crucial for accurately determining the amount of sodium in grams.

Units of Measurement

Units of measurement are standardized quantities used to express physical quantities. In this problem, sodium content is measured in milligrams and grams, which are both units of mass. Recognizing the relationship between these units is essential for performing the conversion correctly.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one unit of measurement to another by using conversion factors. It involves multiplying the original measurement by a fraction that represents the relationship between the units. This method ensures that units cancel appropriately, leading to the correct final measurement in the desired unit.