Convert the following expressions into exponential notation: (b) 2.5 femtoseconds (fs) (c) 57 micrometers (mm)

검증된 단계별 안내

Understand that 'femto' is a metric prefix that represents \(10^{-15}\).

Identify the given value: 2.5 femtoseconds (fs).

Replace the 'femto' prefix with its exponential equivalent: \(2.5 \times 10^{-15}\) seconds.

Express the value in exponential notation: \(2.5 \times 10^{-15}\) s.

Verify that the conversion from femtoseconds to seconds using the exponential notation is correct.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

영상 길이:

51s

주요 개념

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

Exponential Notation

Exponential notation is a mathematical way to express numbers as a product of a coefficient and a power of ten. It simplifies the representation of very large or very small numbers, making calculations easier. For example, 2.5 can be expressed as 2.5 x 10^0, while smaller units like femtoseconds can be represented using negative exponents.

Metric Prefixes

Metric prefixes are standardized terms used to denote specific powers of ten in the metric system. For instance, 'femto-' represents 10^-15, indicating one quadrillionth of a unit. Understanding these prefixes is essential for converting measurements into exponential notation, as they provide a clear framework for interpreting and manipulating different scales.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In the context of the question, converting 2.5 femtoseconds into exponential notation requires recognizing the relationship between femtoseconds and seconds, allowing for accurate representation of time intervals in a more manageable form.