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Ch.1 - Introduction: Matter, Energy, and Measurement
Brown - Chemistry: The Central Science 15th Edition
Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 34d

Use appropriate metric prefixes to write the following measurements without use of exponents: d. 1.81×10-2 s

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1
Identify the given measurement: 1.81 \(\times\) 10^{-2} \(\text{s}\).
Recognize that 10^{-2} corresponds to the metric prefix 'centi', which is equivalent to 0.01.
Convert the measurement by replacing 10^{-2} with the prefix 'centi'.
Rewrite the measurement as 1.81 centiseconds.
Ensure the final expression is clear and uses the appropriate metric prefix without exponents.

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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), allowing us to express 0.01 meters as 1 centimeter.
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Metric Prefixes Usage

Scientific Notation

Scientific notation is a method of expressing numbers that are too large or too small in a more manageable form, typically as a product of a number between 1 and 10 and a power of ten. In the case of 1.81×10^-2 seconds, it indicates that the value is 1.81 multiplied by 0.01, which is a common way to represent small measurements in science.
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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 context, converting 1.81×10^-2 seconds into a more understandable metric prefix requires recognizing that this value can be expressed as 18.1 centiseconds, thus making it easier to comprehend in practical applications.
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Conversion Factors