Question

Think about the commutative property of real-number operations as it applies to addition and subtraction of functions. How do you think this property might extend to multiplication and division of functions?

Answer 1

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The commutative property applies to addition but not subtraction. It states that we can add numbers in any order and get the same answer. However if we write a subtraction problem as addition of negatives, this means that we can use the commutative property.

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Answer 2

Concept

In mathematics, a binary operation is commutative if changing the order of the operands does not change the result. It is a fundamental property of many binary operations, and many mathematical proofs depend on it.

Explanation

• Subtraction is not covered by the commutative property, just addition. It claims that any sequence of adding integers would get the same result. However, we may apply the commutative principle if we express a subtraction issue as an addition of negatives.
• In accordance with the commutative property, we can multiply integers in any order. Division is an exception to this rule; nevertheless, if division were expressed as the multiplication of fractions, the commutative characteristic would be true.
• So commutative property of real-number operations can be applied to multiplication

Hence this commutative property might be extend to multiplication and but can not applicable to division of functions

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