Convert the following expressions into exponential notation: (d) 8.3 megagrams (mg).

검증된 단계별 안내

Understand that 'mega' is a metric prefix that represents \$10^6$.

Recognize that 1 megagram (Mg) is equal to \$10^6$ grams (g).

Convert 8.3 megagrams to grams by multiplying 8.3 by \$10^6$.

Express the result in exponential notation as $8.3 \times 10^6$ grams.

Remember that the unit 'megagram' is often abbreviated as 'Mg', not 'mg', which stands for milligrams.

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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. For example, 'mega-' represents a factor of 10^6, meaning one megagram is equal to one million grams. Understanding these prefixes is essential for converting between different units of measurement.

Exponential Notation

Exponential notation is a way to express numbers as a base raised to a power, which simplifies the representation of very large or very small numbers. For instance, 8.3 megagrams can be expressed as 8.3 x 10^6 grams, making calculations and comparisons easier.

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit while maintaining the same value. This process often requires multiplying by a conversion factor, such as converting megagrams to grams by using the relationship that 1 megagram equals 10^6 grams.