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Explain how the commutative property of subtraction is different from the commutative property of addition and provide examples to support your answer.

Please continue with the explanation and examples to complete your question.

User Weenoid
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Final answer:

Subtraction does not have a commutative property like addition; changing the order changes the result. Subtraction requires changing the sign of the number being subtracted before adding.

Step-by-step explanation:

The commutative property of addition states that numbers can be added in any order without changing the result. For example, 3+2 equals 5, and 2+3 also equals 5. On the contrary, the commutative property does not apply to subtraction. Subtraction is anticommutative, meaning that changing the order of the numbers changes the result. To illustrate, 5-3 equals 2, but 3-5 equals -2, which is not the same as 2.

When working with subtraction, you must change the sign of the number being subtracted and then proceed with addition. For example, to subtract -6 from 2, you change the sign of -6 to +6 and then add it to 2, resulting in 2+6 which equals 8. This process applies to scalars and is used graphically in vector subtraction as well, where you flip the vector direction.

User Elio Campitelli
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