Convert the following expressions into exponential notation: (a) 3 terameters (tm)

검증된 단계별 안내

Understand that 'tera' is a metric prefix that represents \(10^{12}\).

Recognize that 1 terameter (tm) is equivalent to \(10^{12}\) meters (m).

To convert 3 terameters into meters, multiply 3 by \(10^{12}\).

Express the result in exponential notation: \(3 \times 10^{12}\) meters.

Thus, 3 terameters is \(3 \times 10^{12}\) meters in exponential notation.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

도움이 되었나요?

주요 개념

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

Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. For example, 'tera-' represents 10^12, meaning one terameter equals one trillion meters. Understanding these prefixes is essential for converting between different units of measurement.

Exponential Notation

Exponential notation is a mathematical way to express numbers as a base raised to a power. This notation simplifies the representation of very large or very small numbers. For instance, instead of writing 1,000,000, we can write 10^6, making calculations and comparisons easier.

Unit Conversion

Unit conversion involves changing a quantity expressed in one unit to another unit while maintaining its value. This process often requires the use of conversion factors, which are ratios that express how many of one unit are equivalent to another. In this case, converting terameters to meters involves multiplying by the appropriate power of ten.