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

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 writing the given quantity as a fraction: \( \frac{2840 \text{ mg}}{1} \).
4. Multiply by the conversion factor to cancel out milligrams: \( \frac{2840 \text{ mg}}{1} \times \frac{1 \text{ g}}{1000 \text{ mg}} \).
5. Simplify the expression to find the number of grams of sodium.

Key Concepts

Metric Units

The metric system is a decimal-based system of measurement used globally, which includes units such as meters for length, liters for volume, and grams for mass. Understanding the basic metric units and their relationships is essential for performing conversions, such as converting milligrams to grams.

Conversion Factors

Conversion factors are ratios that express how many of one unit are equal to another unit. For example, 1 gram is equal to 1000 milligrams, which serves as a conversion factor for changing milligrams to grams. Using these factors allows for accurate and efficient unit conversions in calculations.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one unit of measurement to another by multiplying by conversion factors. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is a crucial skill in chemistry for solving problems involving different measurement units.