# multiplication

Ordinary multiplication of numbers is just repeated addition. To multiply a number \(a\) by a number \(b\), simply add together \(b\) copies of \(a\). For instance, \(2\times 3\) is just \(2+2+2\). We call the result of a multiplication the *product*, and we call the numbers being multiplied together the *multiplicands*.

Multiplication of natural numbers is formally defined by the Peano Axioms.

Multiplication of ordinary numbers is commutative and associative. However, in more abstract settings a notion of multiplication may be defined in which commutativity and/or associativity do not hold. Multiplication also has distinct properties for transfinite ordinals and cardinals.

- [MLA] “multiplication.”
*Platonic Realms Interactive Mathematics Encyclopedia.*Platonic Realms, 30 Mar 2013. Web. 30 Mar 2013. <http://platonicrealms.com/> - [APA] multiplication (30 Mar 2013). Retrieved 30 Mar 2013 from the
*Platonic Realms Interactive Mathematics Encyclopedia:*http://platonicrealms.com/encyclopedia/multiplication/