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In a multiplication problem, the factors are the numbers that get multiplied. The commutative property of multiplication says that you can multiply these factors in any order, and you'll always get the same product, or answer. This means that -4 × 3 will give you the same answer as 3× (-4). Which of these best shows the commutative property of multiplication? A. 5x3=5+5+5 B. 5x3=5÷1 C. 5x3= (5x2)+5 D -5x3=3x (-5)

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Final answer:

The fundamental principle of the commutative property of multiplication is that the order of the factors doesn't affect the product. Of the given options, -5x3=3x (-5) correctly demonstrates this property.

Step-by-step explanation:

The question is asking which option best demonstrates the commutative property of multiplication. This property indicates that you can multiply numbers (or factors) in any order, and you will always get the same result, or product. The commutative property can be illustrated like this: for any two numbers a and b, a x b = b x a. So looking at the options given, the one that best exhibits this property is option D -5x3=3x (-5). This is because it shows that regardless of the order of the factors, the product remains the same.

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