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. Divide the given area in m^2 by 1,000,000.>
2. <Convert the area from square meters to square decimeters by using the conversion factor: 1 m^2 = 100 dm^2. Multiply the given area in m^2 by 100.>
3. <Convert the area from square meters to square centimeters by using the conversion factor: 1 m^2 = 10,000 cm^2. Multiply the given area in m^2 by 10,000.>
4. <Ensure that each conversion is done correctly by checking the units and conversion factors.>
5. <Summarize the converted areas in km^2, dm^2, and cm^2.>

Key Concepts

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one unit to another unit. 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. It is organized in powers of ten, making conversions straightforward. Familiarity with the metric system is important for understanding how to convert between different units of area, as it provides a consistent framework for measurement.