Which property is illustrated by the following statement? (3z)xy=3(zx)y
This statement illustrates the commutative property of multiplication.
The property illustrated by the given statement is the associative property of multiplication.
The property illustrated by the statement (3z)xy=3(zx)y is the associative property of multiplication.
To understand why, let's break down the statement:
(3z)xy means that we have the expression (3z) first, and then multiply it by x and y.
3(zx)y means that we have z first, then multiply it by x, and then multiply the result by y.
According to the associative property of multiplication, the order in which we group numbers for multiplication does not change the result. In this case, we can see that (3z)x and zx both yield the same result, as well as xyz and (zx)y.
So, the statement (3z)xy=3(zx)y illustrates the associative property of multiplication.