which property is illustrated by the following statement (3z)xy=3(zx)y\
The property that is illustrated by the statement is the associative property of multiplication.
The property illustrated by the statement (3z)xy = 3(zx)y 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 this property, let's break down the statement:
(3z)xy: This represents the product of 3z and xy.
3(zx)y: This represents the product of 3, zx, and y.
In the Associative Property of Multiplication, it states that when multiplying three or more numbers together, the grouping of the factors does not affect the result. In other words, you can group the numbers in any way you want without changing the answer.
In this case, both statements are equal because they represent the same multiplication expression. The brackets are used to group the numbers differently, but the order of multiplication and the final result remain the same.
So, the property being illustrated here is the Associative Property of Multiplication.