Distributive Property

Theorem
Multiplication distributes over addition.

That is:
 * $a \cdot \left({b + c}\right) = a \cdot b + a \cdot c$

where $a, b, c$ are numbers.

Proof
See Multiplication of Numbers Distributes over Addition.

Note
In general, this name is used most often in elementary mathematics courses to mean Multiplication of Numbers Distributes over Addition.

As such, it typically refers to:
 * Integer Multiplication Distributes over Addition
 * Real Multiplication Distributes over Addition.
 * Complex Multiplication Distributes over Addition.

In other contexts, it could be applied to:
 * Modulo Multiplication Distributes over Modulo Addition, or
 * Matrix Multiplication Distributes over Matrix Addition,

although these uses are much less frequent because these sets of numbers are not generally examined in early mathematics courses.