A virus has a diameter of 5.2 * 10-8 m. What is the most appropriate prefix for reporting the diameter of the virus?

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insert step 1> Identify the given diameter of the virus, which is \(5.2 \times 10^{-8}\) meters.

insert step 2> Recall the metric prefixes and their corresponding powers of ten: nano (n) is \(10^{-9}\), micro (\(\mu\)\) is \(10^{-6}\), milli (m) is \(10^{-3}\), etc.

insert step 3> Compare the given power of ten, \(10^{-8}\), with the standard metric prefixes to find the closest match.

insert step 4> Determine which prefix corresponds to a power of ten that is closest to \(10^{-8}\).

insert step 5> Conclude that the most appropriate prefix for the diameter of the virus is the one that matches or is closest to \(10^{-8}\).

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Metric Prefixes

Metric prefixes are used to denote specific powers of ten, making it easier to express very large or very small numbers. Common prefixes include kilo- (10^3), centi- (10^-2), and nano- (10^-9). Understanding these prefixes helps in converting and comparing measurements in scientific contexts.

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01:16

Metric Prefixes Usage

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten. It simplifies the representation of very large or small values, such as 5.2 * 10^-8 m, which indicates that the number is 5.2 divided by 10 to the eighth power, or 0.000000052 m.

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Standard Notation to Scientific Notation

Size Comparison in Biology

In biology, understanding the scale of microscopic entities like viruses is crucial. The diameter of a virus, typically in the nanometer range, can be compared to other biological structures, such as bacteria (1-10 micrometers) or cells (10-100 micrometers), to appreciate their relative sizes and implications for study.

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