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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 6th Edition
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 103a

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

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

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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.
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Conversion Factors

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.
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Units of Radiation Measurement

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.
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Metric Prefixes Usage