Which property is illustrated by the statement? xyz = xzy
The property illustrated by the statement "xyz = xzy" is the commutative property of multiplication. This property states that the order in which numbers are multiplied does not affect the product.
The property illustrated by the statement "xyz = xzy" is the commutative property of multiplication.
The property illustrated by the statement "xyz = xzy" is the commutative property of multiplication.
To understand how this property is applied, let's break down the equation:
- "xyz" represents the multiplication of three variables: x, y, and z.
- "xzy" also represents the multiplication of the same three variables: x, z, and y.
According to the commutative property of multiplication, the order of the numbers being multiplied does not affect the result. This property states that, for any two numbers, a and b, the product of a and b will be the same as the product of b and a. In this case, since x, y, and z are variables, the commutative property of multiplication allows us to rearrange the order of the variables without changing the result.
Therefore, "xyz = xzy" demonstrates the commutative property of multiplication as it shows that multiplying x by y and then z will yield the same result as multiplying x by z and then y.