Choose the property illustrated by the following statement.
(6 x y) x 4 = 6 x (y x 4)
Part 1
A.
associative property of multiplication
B.
commutative property of multiplication
C.
distributive property
D.
identity element of multiplication
A. associative property of multiplication
The property illustrated by the statement (6 x y) x 4 = 6 x (y x 4) is the associative property of multiplication. Therefore, the correct answer is A. associative property of multiplication.
To determine the property illustrated by the given statement, let's analyze the equation:
(6 x y) x 4 = 6 x (y x 4)
Comparing the left side of the equation to the right side, we can see that the order of the terms does not change. The grouping of the terms is being changed instead. This means that we are dealing with the associative property of multiplication.
The associative property of multiplication states that for any three numbers a, b, and c, the product remains the same regardless of how the numbers are grouped. In other words, when multiplying three or more numbers, it does not matter how you group them; you will always get the same result.
So, the correct answer is:
A. associative property of multiplication