Arithmetic Properties: Associative, Commutative & Distributive Explained
Associative Property
In both addition and multiplication, the grouping of terms does not affect the result. This allows us to freely place parentheses wherever convenient:
a + (b + c) = (a + b) + c a(bc) = (ab)c
Commutative Property
Terms in addition or multiplication can be reordered without changing the outcome:
a + b = b + a ab = ba
Distributive Property
When a term multiplies a sum, the multiplication distributes over each addend:
a(b + c) = ab + ac
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