Distributive Property
From ProofWiki
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.
$\blacksquare$
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.