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Ch.1 - Introduction: Matter, Energy, and Measurement
All textbooksBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 32c
Chapter 1, Problem 32c

Use appropriate metric prefixes to write the following measurements without use of exponents: (a) 7.29×106 g (b) 6.1×10-10 m (c) 1.828×10-3 s

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1
Identify the metric prefix that corresponds to the exponent -3. In this case, the prefix 'milli' (m) represents 10^{-3}.
Rewrite the given measurement using the identified metric prefix. Replace 10^{-3} with 'milli'.
The original measurement is 1.828 \times 10^{-3} \text{s}.
Using the 'milli' prefix, the measurement becomes 1.828 \text{ ms}.
Thus, 1.828 \times 10^{-3} \text{s} is equivalent to 1.828 \text{ milliseconds (ms)}.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

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, 'milli-' represents one-thousandth (10^-3), allowing us to convert measurements like 1.828 * 10^-3 seconds into 1.828 milliseconds.
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Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which is particularly useful for handling very large or very small numbers. In this format, a number is written as 'a × 10^n', where 'a' is a number greater than or equal to 1 and less than 10, and 'n' is an integer. Understanding how to convert from scientific notation to standard metric prefixes is essential for this question.
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Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. This process often requires knowledge of conversion factors, such as metric prefixes, to accurately translate values. In this case, converting 1.828 * 10^-3 seconds to milliseconds involves recognizing that 1 second equals 1,000 milliseconds, thus facilitating the conversion.
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Related Practice
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