High School

What is the commutative property representation for the expression \(72.3 + (-39.1)\)?

A. \(72.3 + (-39.1) = (-39.1) + 72.3\)
B. \(72.3 + (-39.1) = 39.1 + (-72.3)\)
C. \(72.3 + (-39.1) = 72.3 - 39.1\)
D. \(72.3 + (-39.1) = (-39.1) - 72.3\)

Answer :

Final answer:

The commutative property in mathematics allows for the switching of number positions in an operation without affecting the outcome of that operation. In this particular problem, the commutative property is shown in option A, where 72.3 + (-39.1) equals (-39.1) + 72.3, demonstrating that changing the order of addition does not change the result.

Explanation:

The question is asking for the commutative property of addition for the numbers 72.3 and -39.1. In mathematics, the commutative property refers to the ability to switch around numbers in an operation without changing the result of the operation. When working with the commutative property of addition, the order in which numbers are added does not affect the outcome.

Therefore, looking at the provided options for this problem, the correct answer is A. 72.3 + (-39.1) = (-39.1) + 72.3. This is an application of the commutative property, which states that the numbers can be rearranged without changing the result of the addition.

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