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Ch.1 - Introduction: Matter, Energy, and Measurement
All textbooksBrown 14th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 32d
Chapter 1, Problem 32d

Use appropriate metric prefixes to write the following measurements without use of exponents: (d) 3.523×109 m3 (e) 9.62×102 m/s (f) 8.923×10-12 kg

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1
Identify the appropriate metric prefix for the given exponent. In this case, 10^9 corresponds to the prefix 'giga' (G).
Rewrite the measurement using the identified metric prefix. Replace 10^9 with 'G'.
Express the measurement as 3.523 Gm^3, where 'G' stands for 'giga'.
Ensure that the unit of measurement (m^3) remains consistent and correctly represents cubic meters.
Verify that the conversion maintains the original value's magnitude and unit.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. They simplify the representation of large or small quantities by providing a shorthand notation, such as 'kilo-' for 10^3 or 'giga-' for 10^9. Understanding these prefixes is essential for converting and expressing measurements in a more manageable form.
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Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten, which allows for easier handling of very large or very small numbers. For example, 3.523×10^9 can be interpreted as 3.523 billion. Converting from scientific notation to standard metric prefixes requires knowledge of the appropriate prefix that corresponds to the exponent.
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Volume Measurement

Volume is a measure of the three-dimensional space occupied by a substance, commonly expressed in cubic meters (m³) in the metric system. When converting large volumes, it is important to apply the correct metric prefix to convey the measurement accurately. For instance, 3.523×10^9 m³ can be expressed as 3.523 gigameters cubed (Gm³) using the appropriate metric prefix.
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Make the following conversions: (c) 294 °C to K

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