Question
which of the following demonstrates the associative property of multiplication?
(3 . 5) . 2 = (3 . 5) . 2
(3 . 5) + 2 = (3 + 5) . 2
(3 + 5) . 2 = 3 + (5 . 2)
(3 . 5) . 2 = 3 . (5 . 2)
(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
GPT-4o mini
The associative property of multiplication states that the way in which numbers are grouped in multiplication does not change their product. In other words, for any numbers \( a \), \( b \), and \( c \), the property can be expressed as:
\[
(a \cdot b) \cdot c = a \cdot (b \cdot c)
\]
From the options you've provided, the correct representation of the associative property of multiplication is:
\[
(3 \cdot 5) \cdot 2 = 3 \cdot (5 \cdot 2)
\]
Thus, the statement **"(3 . 5) . 2 = 3 . (5 . 2)"** demonstrates the associative property of multiplication.
\[
(a \cdot b) \cdot c = a \cdot (b \cdot c)
\]
From the options you've provided, the correct representation of the associative property of multiplication is:
\[
(3 \cdot 5) \cdot 2 = 3 \cdot (5 \cdot 2)
\]
Thus, the statement **"(3 . 5) . 2 = 3 . (5 . 2)"** demonstrates the associative property of multiplication.