A house has an area of 195 m². What is its area in each unit? a. km² b. dm² c. cm²

Verified step by step guidance

1. <Convert the area from square meters to square kilometers by using the conversion factor: 1 km^2 = 1,000,000 m^2.>
2. <Convert the area from square meters to square decimeters by using the conversion factor: 1 m^2 = 100 dm^2.>
3. <Convert the area from square meters to square centimeters by using the conversion factor: 1 m^2 = 10,000 cm^2.>
4. <For each conversion, multiply the given area (195 m^2) by the appropriate conversion factor to find the area in the desired unit.>
5. <Ensure that the units are correctly labeled in each step to avoid confusion and verify the calculations.>

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this case, it involves converting the area of a house from square meters (m²) to other area units such as square kilometers (km²), square decimeters (dm²), and square centimeters (cm²). Understanding the relationships between these units is essential for accurate conversion.

Area Measurement

Area measurement quantifies the extent of a two-dimensional surface. It is typically expressed in square units, such as square meters, which represent the area of a square with sides of one meter. Knowing how to calculate and express area in different units is crucial for applications in real estate, architecture, and land use.

Metric System

The metric system is a decimal-based system of measurement used globally, which includes units such as meters, liters, and grams. In the context of area, it uses square units like m², km², dm², and cm². Familiarity with the metric system allows for easier conversions and comparisons between different measurements, as it is based on powers of ten.