Category:Natural Number Multiplication Distributes over Addition

This category contains pages concerning Natural Number Multiplication Distributes over Addition:

The operation of multiplication is distributive over addition on the set of natural numbers $\N$:

$\forall x, y, z \in \N:$

$\paren {x + y} \times z = \paren {x \times z} + \paren {y \times z}$

$z \times \paren {x + y} = \paren {z \times x} + \paren {z \times y}$