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

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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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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

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.

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.

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.