Use prefix multipliers to express each measurement without exponents. a. 38.8×10⁵ g c. 23.4×10¹¹ m d. 87.9×10⁻⁷ L

Key Concepts

Prefix Multipliers

Prefix multipliers are standard prefixes used in the metric system to denote specific powers of ten. For example, 'kilo-' represents 10^3, 'mega-' represents 10^6, and 'centi-' represents 10^-2. These prefixes simplify the expression of large or small quantities by allowing scientists to communicate measurements more efficiently without using exponents.

Scientific Notation

Scientific notation is a method of expressing numbers as a product of a coefficient and a power of ten. It is particularly useful for handling very large or very small numbers. In the context of the question, the number 38.8 * 10^5 g can be converted into a more manageable form using prefix multipliers, which helps in understanding and comparing measurements easily.

Unit Conversion

Unit conversion involves changing a measurement from one unit to another while maintaining the same quantity. In this case, converting grams expressed in scientific notation to a more readable format using metric prefixes requires an understanding of how to translate between different units and their corresponding prefixes, ensuring clarity and accuracy in scientific communication.