Addition $+$ on $\reals$

Example · Elementary

Terms

Term	This example	Why
binary operation	✓	Addition on $\reals$ is a binary operation, because addition combines two real numbers into a new one: “$2 + 4$” produces $6$.
associative	✓	Addition on $\reals$ is associative: for example, $(2 + 3) + 4 = 2 + (3 + 4) = 9$.
commutative	✓	Addition on $\reals$ is commutative: for example, $2 + 3 = 3 + 2 = 5$.
relation	✗	Addition on $\reals$ is not a relation, because “$2 + 4$” does not have a true or false value.

Distinctions using this example

• Associative vs. commutative
• Operation vs. relation

All examples · All distinctions · All definitions