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State the properties used in the followi...

State the properties used in the following statements: `249xx345=345xx249`

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To solve the question, we need to identify the property used in the equation \( 249 \times 345 = 345 \times 249 \). ### Step-by-Step Solution: 1. **Understanding the Equation**: The equation states that multiplying 249 by 345 gives the same result as multiplying 345 by 249. This means the order of multiplication does not affect the product. 2. **Identifying the Property**: The property that allows us to switch the order of the numbers being multiplied is known as the **Commutative Property of Multiplication**. 3. **Definition of the Commutative Property**: According to the commutative property, for any two numbers \( a \) and \( b \): \[ a \times b = b \times a \] In our case, we can let \( a = 249 \) and \( b = 345 \). Thus, we can write: \[ 249 \times 345 = 345 \times 249 \] 4. **Conclusion**: Therefore, the property used in the statement \( 249 \times 345 = 345 \times 249 \) is the **Commutative Property of Multiplication**. ### Final Answer: The property used is the **Commutative Property of Multiplication**. ---
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