Use metric conversion factors to solve each of the following problems:d. A jar contains 0.29 kg of olives. How many grams of olives are in the jar?

Verified step by step guidance

1. Identify the given quantity: 0.29 kg of olives.
2. Recall the conversion factor between kilograms and grams: 1 kg = 1000 g.
3. Set up the conversion by multiplying the given quantity by the conversion factor: 0.29 kg * (1000 g / 1 kg).
4. Notice that the 'kg' units will cancel out, leaving you with the unit 'g'.
5. Perform the multiplication to find the number of grams of olives in the jar.

Key Concepts

Metric System

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. It is based on powers of ten, making conversions straightforward. Understanding the metric system is essential for performing calculations and conversions accurately in scientific contexts.

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit without changing its value. This process often requires the use of conversion factors, which are ratios that express how many of one unit are equivalent to another. Mastery of unit conversion is crucial for solving problems in chemistry and other sciences.

Conversion Factors

Conversion factors are specific numerical ratios used to convert one unit of measurement to another. For example, to convert kilograms to grams, the conversion factor is 1 kg = 1000 g. Using conversion factors allows for accurate and efficient calculations, ensuring that measurements are expressed in the desired units.