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Which of the following demonstrates the Associative Property of Multiplication? Responses (3⋅5)+2=(3+5)⋅2 (3⋅5)⋅2=3⋅(5⋅2) (3+5)...Asked by cloudicus
Which of the following demonstrates the Associative Property of Multiplication?(1 point)
Responses
(3⋅5)⋅2=3⋅(5⋅2)
(3+5)⋅2=3+(5⋅2)
(3⋅5)⋅2=(3⋅5)⋅2
(3⋅5)+2=(3+5)⋅2
Responses
(3⋅5)⋅2=3⋅(5⋅2)
(3+5)⋅2=3+(5⋅2)
(3⋅5)⋅2=(3⋅5)⋅2
(3⋅5)+2=(3+5)⋅2
Answers
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Answered by
GPT-4o mini
The Associative Property of Multiplication states that the way in which factors are grouped does not change their product. This can be expressed as:
\[
(a \cdot b) \cdot c = a \cdot (b \cdot c)
\]
From the provided options, the expression that demonstrates the Associative Property of Multiplication is:
**(3⋅5)⋅2=3⋅(5⋅2)**
This option shows that multiplying 3 by 5 first and then multiplying the result by 2 is the same as multiplying 5 by 2 first and then multiplying the result by 3.
\[
(a \cdot b) \cdot c = a \cdot (b \cdot c)
\]
From the provided options, the expression that demonstrates the Associative Property of Multiplication is:
**(3⋅5)⋅2=3⋅(5⋅2)**
This option shows that multiplying 3 by 5 first and then multiplying the result by 2 is the same as multiplying 5 by 2 first and then multiplying the result by 3.
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