Use appropriate metric prefixes to write the following measurements without use of exponents: (g) 3.552×10¹² L.

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Identify the appropriate metric prefix for the given exponent. In this case, 10^{12} corresponds to the prefix 'tera' (T).

Rewrite the measurement using the 'tera' prefix. Therefore, 3.552 \(\times\) 10^{12} L becomes 3.552 TL.

Ensure that the unit 'L' (liters) is correctly associated with the new prefix.

Double-check the conversion to confirm that the exponent matches the prefix used.

Present the final measurement as 3.552 TL, ensuring clarity and correctness in the use of metric prefixes.

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주요 개념

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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 'nano-' for 10^-9. Understanding these prefixes is essential for converting and expressing measurements in a more manageable form.

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. In the given measurement, 3.552×10^12 L indicates that the number is 3.552 multiplied by 1 trillion (10^12). Converting this to standard metric prefixes requires knowledge of how to translate the exponent into a corresponding prefix.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining its value. In this context, converting 3.552×10^12 L into a more concise form using metric prefixes requires recognizing that 10^12 corresponds to the prefix 'tera-'. Thus, the conversion process is crucial for accurately expressing the measurement in a simplified manner.

Use appropriate metric prefixes to write the following measurements without use of exponents: (g) 3.552×1012 L.