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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 15th Edition
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Tutti i libri di testoBrown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblema 34g
Capitolo 1, Problema 34g

Use appropriate metric prefixes to write the following measurements without use of exponents: g. 5.1×102 cm

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Identify the metric prefix that corresponds to the exponent given in the problem. In this case, 10^2 corresponds to the prefix 'hecto-', which is used for 100.
Rewrite the measurement using the identified metric prefix. Since 5.1 × 10^2 cm is equivalent to 5.1 hecto-centimeters, you can express it as 5.1 hectocentimeters.
Alternatively, convert the measurement to a more commonly used metric unit if needed. For example, since 1 meter is 100 centimeters, you can convert 5.1 × 10^2 cm to meters by dividing by 100.
Perform the conversion by dividing 5.1 × 10^2 cm by 100 to express the measurement in meters.
Write the final measurement in meters without using exponents, ensuring clarity and precision in the expression.

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Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. They simplify the representation of large or small quantities by providing a shorthand way to express these values. For example, 'centi-' represents one-hundredth (10^-2), so 5.1×10^2 cm can be expressed as 5.1 m when converted to meters.
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Percorso guidato
01:16
Metric Prefixes Usage

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten. It is particularly useful for handling very large or very small numbers. In the given measurement, 5.1×10^2 cm indicates that the value is 5.1 multiplied by 100, which equals 510 cm, and can be converted to a more manageable metric prefix.
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Percorso guidato
02:50
Standard Notation to Scientific Notation

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In this case, converting centimeters to meters requires knowing the relationship between these units, specifically that 1 m equals 100 cm. Thus, to convert 510 cm to meters, you divide by 100, resulting in 5.1 m.
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Percorso guidato
01:56
Conversion Factors
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