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State True or False: 654xx342=342xx654...

State True or False:
`654xx342=342xx654`

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The correct Answer is:
To solve the question, we need to determine if the statement \( 654 \times 342 = 342 \times 654 \) is true or false. ### Step-by-Step Solution: 1. **Understand the Commutative Law of Multiplication**: The commutative law states that for any two numbers \( a \) and \( b \), the equation \( a \times b = b \times a \) holds true. This means that the order in which we multiply two numbers does not change the product. 2. **Identify the Numbers**: Here, we have: - \( a = 654 \) - \( b = 342 \) 3. **Apply the Commutative Law**: According to the commutative law: \[ 654 \times 342 = 342 \times 654 \] Therefore, we can conclude that the statement is true based on the commutative property of multiplication. 4. **Verification by Calculation**: To further verify, we can calculate both sides: - Calculate \( 654 \times 342 \): \[ 654 \times 342 = 223668 \] - Calculate \( 342 \times 654 \): \[ 342 \times 654 = 223668 \] 5. **Conclusion**: Since both calculations yield the same result, we can confirm that: \[ 654 \times 342 = 342 \times 654 \] Thus, the statement is **True**. ### Final Answer: **True**
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