There are four mathematical properties of addition. The properties are the commutative, associative, additive identity and distributive properties. Identity property of addiiton states that the sum of any number and zero is the original number. Learn all properties of addition using the resources on this page.

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The associative property states that you can add or multiply regardless of how the numbers are grouped. By ‘grouped’ we mean ‘how you use parenthesis’. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.

The word “commutative” comes from “commute” or “move around”, so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is “a + b = b + a”; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is “ab = ba”; in numbers, this means 2×3 = 3×2.

There are four mathematical properties which involve addition. The properties are the commutative, associative, additive identity and distributive properties. Commutative property: When two numbers are added, the sum is the same regardless of the order of the addends.