Explain what a "derived unit" of measure is.

A unit of measure is a standardized quantity of a physical property such as length, mass, time, temperature, etc., used to express the value of that property in a specific measurement system (like the International System of Units, or SI).

Derived units are units of measure that are obtained by combining the base units through algebraic operations like multiplication and division. They are derived from a set of fundamental or base units and are used to measure physical quantities that are not covered by base units.

Some examples of derived units are: 1. Area (square meter, m^2) - Derived from the base unit of length (meter, m) by multiplying it by itself: m x m = m^2. 2. Volume (cubic meter, m^3) - Similar to area, derived from the base unit of length (meter, m) by multiplying it by itself three times: m x m x m = m^3. 3. Speed (meter per second, m/s) - Derived from the base units of length (meter, m) and time (second, s). The speed is found by dividing the length unit by the time unit: m / s = m/s. 4. Acceleration (meter per second squared, m/s^2) - Derived by dividing a speed unit (m/s) by a time unit (s) again: (m/s) / s = m/s^2. 5. Force (newton, N) - Measured in units of mass (kilogram, kg), length (m), and time (s). It can be calculated by the formula: force = mass x acceleration. Thus, force has a derived unit, kilogram meter per second squared: kg m/s^2, also called a newton (N). These examples show how derived units are obtained from basic units and used to express other physical quantities.