Q
QuestionMathematics

What is the difference between the commutative and associative properties?
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Step 1
: Explain the Commutative Property

The commutative property is a fundamental concept in mathematics that applies to binary operations, such as addition and multiplication. This property states that the order in which numbers are combined does not affect the outcome.

Step 2
: Provide the Addition Commutative Property Formula

a + b = b + a
The addition commutative property can be written as:

Final Answer

The commutative property states that the order in which numbers are combined does not affect the outcome, while the associative property states that the grouping of numbers being combined does not affect the outcome. These properties apply to binary operations such as addition and multiplication.