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Answer :
Final answer:
Allen seems to have inaccurately applied the commutative and associative properties. Presumably, the problem should involve basic left-to-right arithmetic operations. When these operations are correctly done, the result of the equation (-8.3 + 9.2 - 4.4 + 3.7) is 0.2.
Explanation:
The question given is missing clear operation signs for between the numbers, so it's difficult to validate Allen's steps accurately.
Assuming the original problem was meant to be -8.3 + 9.2 - 4.4 + 3.7 based on the steps provided, Allen seems to have made a mistake in using the commutative property. In combination operations, the commutative property only applies to items within the same operation, meaning you can't rearrange addition and subtraction operations randomly.
Furthermore, the associative property isn't used appropriately. This property only applies to operations of the same kind. It seems like Allen might be confusing the commutative and associative properties, and how they apply to these problems.
To correct his work, Allen should keep the order of the operations as they are in the original problem and perform the operations from left to right (if the problem doesn't involve multiplication or division). That would result -8.3 + 9.2 equaling to 0.9, then subtract 4.4 to get -3.5 and finally add 3.7 to result in 0.2.
Learn more about Order of Operations here:
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