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Ch.1 - Matter, Measurement & Problem Solving
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 1, Problema 1.55c

Use the prefix multipliers to express each measurement without exponents. c. 1.5 * 109 g

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1
Identify the appropriate prefix multiplier for the given exponent. In this case, the exponent is 9, which corresponds to the prefix 'giga' (G), where 1 gigagram (Gg) = 10^9 grams (g).
Rewrite the given measurement using the identified prefix. Replace 10^9 with the prefix 'G'.
Express the measurement as 1.5 Gg, which stands for 1.5 gigagrams.
Ensure that the units are correctly converted and the expression is clear without using exponents.
Verify the conversion by checking that 1.5 Gg is equivalent to 1.5 * 10^9 g.

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Metric Prefixes

Metric prefixes are used to denote specific powers of ten in the metric system, allowing for easier expression of large or small quantities. For example, 'giga-' represents 10^9, so 1.5 * 10^9 g can be expressed as 1.5 gigagrams (Gg). Understanding these prefixes is essential for converting and simplifying measurements.
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Percorso guidato
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Metric Prefixes Usage

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which simplifies calculations and comparisons. In this case, 1.5 * 10^9 g is in scientific notation, where 1.5 is the coefficient and 10^9 indicates the scale of the measurement. Converting to metric prefixes involves recognizing the power of ten.
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Standard Notation to Scientific Notation

Unit Conversion

Unit conversion is the process of converting a measurement from one unit to another, often involving multiplication by a conversion factor. In this scenario, converting grams to gigagrams requires understanding the relationship between these units, specifically that 1 Gg equals 10^9 g. This knowledge is crucial for accurately expressing measurements in different units.
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Conversion Factors