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

검증된 단계별 안내

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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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.

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.

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.