Which property is illustrated by the following statement (3z)xy=3(zx)y
The property that is illustrated by the following statement (3z)xy=3(zx)y is the commutative property of multiplication.
The property illustrated by the given statement is the Associative Property of Multiplication.
To understand this property, let's break down the given expression:
(3z)xy
According to the Associative Property of Multiplication, you can group (3z) and x together because multiplication is associative. So, we can rewrite the expression as:
[(3z)x]y
Expanding further:
(3zx)y
Now we have expressed the expression in a different grouping, but the result remains the same. Thus, the given statement demonstrates the Associative Property of Multiplication.