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Which of the following is an example of the associative property of multiplication?

a-7.(3 - 5) = (7-3). 5
b-7.(3+5) = 21 + 35
c-7.(3-5) = 7 - (5.3)
d-7. 1/7=1

1 Answer

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Final answer:

None of the provided options demonstrate the associative property of multiplication. Option b, which could be confused for associative property, is actually an example of the distributive property.

Step-by-step explanation:

The associative property of multiplication states that the way in which factors are grouped in a multiplication problem does not change the product. An example of the associative property of multiplication would be the equation (2 * 3) * 4 = 2 * (3 * 4), which shows that regardless of how the numbers are grouped, the result will be the same.

Looking at the options provided in the question, none of them demonstrates the associative property of multiplication. Specifically, option b could be misconstrued as an example of the associative property, but instead, it is an example of the distributive property over addition, as it shows a number multiplying a sum (7 * (3 + 5)) being distributed into individual products (7 * 3 + 7 * 5).

Therefore, the correct answer is:

d. None of the above.

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