QUESTION IMAGE
Question
multiplication and addition are both ░░░░░░░░░░░░░, which means the order in which we perform the operation does not affect the answer.
options: associative, identity, simplify, commutative
Brief Explanations
To solve this, we analyze each option:
- Associative: Deals with grouping (e.g., \((a + b)+c = a+(b + c)\) for addition), not order of operation.
- Identity: Involves elements that don't change the value (e.g., \(a + 0=a\) for addition), not order.
- Simplify: Is a process, not a property about operation order.
- Commutative: The commutative property states that the order of operands doesn't affect the result (e.g., \(a + b=b + a\) for addition, \(a\times b = b\times a\) for multiplication). This matches the description "the order in which we perform the operation does not affect the answer".
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Commutative (the option labeled "Commutative")