Multiplication $\times$ on $\reals$

Example · Elementary

Terms

Term	This example	Why
binary operation	✓	Multiplication on $\reals$ is a binary operation, because multiplication combines two real numbers into a new one: “$2 \times 4$” produces $8$.
associative	✓	Multiplication on $\reals$ is associative: for example, $(2 \times 3) \times 4 = 2 \times (3 \times 4) = 24$.
commutative	✓	Multiplication on $\reals$ is commutative: for example, $2 \times 3 = 3 \times 2 = 6$.
relation	✗	Multiplication on $\reals$ is not a relation, because “$2 \times 4$” does not have a true or false value.

Distinctions using this example

• Associative vs. commutative
• Operation vs. relation

All examples · All distinctions · All definitions