The statement  x+y=Y+x
 is true based on which axiom for addition?
Group of answer choices

Commutative Rule

Inverse Rule

Closure Rule

Distributive Rule

Associative Rule

Identity Element

The statement \( x + y = y + x \) is true based on the **Commutative Rule** (or Commutative Property) for addition. This rule states that the order in which two numbers are added does not change their sum.

So, the correct answer is:

- **Commutative Rule**

Would you like to delve deeper into any of these properties? Here are some related questions:

1. What is the Commutative Rule for multiplication?
2. How does the Associative Rule differ from the Commutative Rule?
3. Can you provide an example that illustrates the Identity Element for addition?
4. How does the Inverse Rule apply in the context of addition?
5. How is the Distributive Rule different from the other properties of addition?

**Tip:** The Commutative Rule applies to both addition and multiplication but not to subtraction or division.

Explore the Commutative Rule of Addition (x + y = y + x) and its significance in mathematics. Learn why the order of addition does not affect the sum, with clear explanations and examples. Suitable for Grades 7-9.

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