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Ch.1 - Chemical Tools: Experimentation & Measurement
McMurry - Chemistry 8th Edition
McMurry8th EditionChemistryISBN: 9781292336145Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 4d

A mammalian HELA cell has a diameter of 2 * 10-5 m. Report the diameter of the cell using the most appropriate prefix on the base unit of meter. (LO 1.5) (d) 0.2 mm

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1
Identify the given diameter of the HELA cell: \(2 \times 10^{-5}\) meters.
Recognize that the problem asks for the diameter to be expressed using an appropriate metric prefix.
Recall the metric prefixes: milli (m) = \(10^{-3}\), micro (\(\mu\)) = \(10^{-6}\), nano (n) = \(10^{-9}\), etc.
Convert \(2 \times 10^{-5}\) meters to a more suitable unit by comparing it to the available metric prefixes.
Determine that converting to millimeters (mm) is appropriate, as \(1 \text{ mm} = 10^{-3} \text{ m}\), and express the diameter in millimeters.

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Metric Prefixes

Metric prefixes are used to denote specific powers of ten, making it easier to express large or small quantities. For example, 'milli-' represents one-thousandth (10^-3), while 'micro-' represents one-millionth (10^-6). Understanding these prefixes is essential for converting measurements into more manageable forms.
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01:16
Metric Prefixes Usage

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining its value. In this case, converting meters to millimeters requires multiplying by 1,000, as there are 1,000 millimeters in a meter. Mastery of unit conversion is crucial for accurately reporting measurements in scientific contexts.
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01:56
Conversion Factors

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which simplifies the representation of very large or very small numbers. For instance, 2 * 10^-5 m can be interpreted as 0.00002 m. This notation is particularly useful in scientific disciplines for clarity and precision.
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Standard Notation to Scientific Notation