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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 14th Edition
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Tutti i libri di testoBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 31a
Capitolo 1, Problema 31a

Convert the following expressions into exponential notation: (a) 3 terameters (tm)

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Understand that 'tera' is a metric prefix that represents \(10^{12}\).
Recognize that 1 terameter (tm) is equivalent to \(10^{12}\) meters (m).
To convert 3 terameters into meters, multiply 3 by \(10^{12}\).
Express the result in exponential notation: \(3 \times 10^{12}\) meters.
Thus, 3 terameters is \(3 \times 10^{12}\) meters in exponential notation.

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Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. For example, 'tera-' represents 10^12, meaning one terameter equals one trillion meters. Understanding these prefixes is essential for converting between different units of measurement.
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Metric Prefixes Usage

Exponential Notation

Exponential notation is a mathematical way to express numbers as a base raised to a power. This notation simplifies the representation of very large or very small numbers. For instance, instead of writing 1,000,000, we can write 10^6, making calculations and comparisons easier.
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Standard Notation to Scientific Notation

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit while maintaining 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. In this case, converting terameters to meters involves multiplying by the appropriate power of ten.
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01:56
Conversion Factors
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