this system is a ___________ system in which measurements are expressed in multiples of _____________ or _________of a basic unit.

What are your choices?

It doent give any... it just says to complete each statement...

To which system is "this system" referring?

The Si System.

http://physics.nist.gov/cuu/Units/

This system is a "metric" system in which measurements are expressed in multiples of "metric prefixes" or "factors" of a basic unit.

To understand how this system works, let's start with the concept of a basic unit. In the metric system, there are several basic units for different quantities. For example, the basic unit for length is the meter (m), the basic unit for mass is the gram (g), and the basic unit for volume is the liter (L).

Now, to express measurements in multiples or factors of these basic units, we use metric prefixes. Metric prefixes are attached to the basic unit to indicate a different magnitude. Here are some commonly used metric prefixes:

- Kilo- (k): It represents a thousand times the basic unit. For example, 1 kilometer (km) is equal to 1000 meters.
- Deci- (d): It represents one-tenth (1/10) of the basic unit. For example, 1 deciliter (dL) is equal to 0.1 liters.
- Centi- (c): It represents one-hundredth (1/100) of the basic unit. For example, 1 centimeter (cm) is equal to 0.01 meters.
- Milli- (m): It represents one-thousandth (1/1000) of the basic unit. For example, 1 milligram (mg) is equal to 0.001 grams.

By using these metric prefixes, we can express measurements in multiples or fractions of the basic unit, making it easier to work with different magnitudes and units.

So, in summary, the metric system is a system where measurements are expressed in multiples of metric prefixes or factors of a basic unit.