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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 4th Edition
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Tutti i libri di testoTro 4th EditionCh.1 - Matter, Measurement & Problem SolvingProblema 55a
Capitolo 1, Problema 55a

Use the prefix multipliers to express each measurement without exponents. a. 1.2×10−9 m

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1
Identify the prefix that corresponds to the exponent in the measurement. In this case, the exponent is -9.
Recall that the prefix for 10^{-9} is 'nano', which is abbreviated as 'n'.
Rewrite the measurement using the prefix 'nano' instead of the exponent. Therefore, 1.2 \(\times\) 10^{-9} m becomes 1.2 nanometers.
Ensure that the unit is correctly expressed with the prefix, resulting in 1.2 nm.
Double-check the conversion to confirm that the prefix accurately represents the original exponent.

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Scientific Notation

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It involves writing a number as a product of a coefficient (between 1 and 10) and a power of ten. For example, 1.2 * 10^-9 m indicates that the number is 1.2 multiplied by 0.000000001, which is a very small measurement.
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02:50
Standard Notation to Scientific Notation

Metric Prefixes

Metric prefixes are used to denote specific powers of ten in the metric system, allowing for easier communication of measurements. Common prefixes include 'nano-' (10^-9), 'micro-' (10^-6), and 'milli-' (10^-3). In the case of 1.2 * 10^-9 m, the appropriate prefix is 'nanometers,' which simplifies the expression to 1.2 nm.
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Metric Prefixes Usage

Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another, often involving the use of conversion factors. In this context, converting from scientific notation to a metric prefix requires understanding the relationship between the units and applying the correct prefix to express the measurement in a more manageable form.
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01:56
Conversion Factors
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