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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 5th Edition
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Tutti i libri di testoTro 5th EditionCh.1 - Matter, Measurement & Problem SolvingProblema 56a
Capitolo 1, Problema 56a

Use prefix multipliers to express each measurement without exponents. a. 38.8×105 g c. 23.4×1011 m d. 87.9×10−7 L

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1
Identify the given measurement: 38.8 \(\times\) 10^5 \(\text{ g}\).
Recognize that the goal is to express this measurement using a prefix multiplier without exponents.
Recall the metric prefixes: kilo (10^3), mega (10^6), etc.
Determine which prefix multiplier is appropriate for 10^5. Since 10^5 is between 10^3 (kilo) and 10^6 (mega), we can express it in terms of kilograms (kg) by converting grams to kilograms.
Convert the measurement: 38.8 \(\times\) 10^5 \(\text{ g}\) = 38.8 \(\times\) 10^2 \(\text{ kg}\), which simplifies to 3880 \(\text{ kg}\).

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Prefix Multipliers

Prefix multipliers are standard prefixes used in the metric system to denote specific powers of ten. For example, 'kilo-' represents 10^3, 'mega-' represents 10^6, and 'centi-' represents 10^-2. These prefixes simplify the expression of large or small quantities by allowing scientists to communicate measurements more efficiently without using exponents.
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Percorso guidato
03:59
Metric Prefixes Chart

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 context of the question, the number 38.8 * 10^5 g can be converted into a more manageable form using prefix multipliers, which helps in understanding and comparing measurements easily.
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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 grams expressed in scientific notation to a more readable format using metric prefixes requires an understanding of how to translate between different units and their corresponding prefixes, ensuring clarity and accuracy in scientific communication.
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01:56
Conversion Factors
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