State the properties used in the following statements: `258+2152=2152+258`

Answer

To solve the question, we need to identify the property used in the equation \(258 + 2152 = 2152 + 258\).

### Step-by-Step Solution:

1. **Identify the Operation**: The operation being performed here is addition. We see two numbers being added together: \(258\) and \(2152\).

2. **Analyze the Equation**: The equation states that \(258 + 2152\) is equal to \(2152 + 258\). This means that the order of the numbers being added has been switched.

3. **Recognize the Property**: The property that allows us to switch the order of the numbers in addition is known as the **Commutative Property of Addition**.

4. **State the Property**: According to the commutative property, for any two numbers \(a\) and \(b\):
\[ a + b = b + a \]
In this case, \(a = 258\) and \(b = 2152\).

5. **Conclusion**: Therefore, the property used in the statement \(258 + 2152 = 2152 + 258\) is the **Commutative Property of Addition**.