You use values, units and dimensions all the time:

**Grocery List**

- 1 carton of milk (value: 1; units: carton; dimensions: volume
(length
^{3})) - 1/4 pound burger (value: 0.25; units: pounds; dimensions:mass)

DEFINITION:

A **value** is the numerical quantity. For
example: 5.2

DEFINITION:

The **units** tell what that quantity
represents. For example: 5.2 liters.

DEFINITION:

The **dimensions** are the measurable
properties that the units represent. For example: a liter is a unit
of volume (units are a specific example of a dimensional
quantity).

OUTCOME:

Define and give examples of value, units, and dimensions in a given expression

TEST YOURSELF!

Give some more examples of value, unit, dimension triplets.

In scientific apps. -> units play a central role in quantification!

Treat units as algebraic entities:

- add/subtract them, if they are of the same units
- multiply/divide them anytime

EXAMPLE: