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 23 = 32.
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Commutative property of addition
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.
Commutative property of multiplication
The commutative property of multiplication tells us that it doesn't matter in what order you multiply numbers. The formula for this property is a b = b a. For example, it doesn't matter if we multiply 5 4 or 4 5. We will end up with the same answer.
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