Commutative and associative laws

Summary

\(a,b,c∈R\) :

  • Addition is commutative: \(a+b=b+a\)
  • Multiplication is commutative: \(a⋅b=b⋅a\)
  • Addition is associative: \(\left( a+b \right)+c=a+\left( b+c \right)\)
  • Multiplication is associative: \(\left( a⋅b \right)⋅c=a⋅(b⋅c)\)