Which property is illustrated by the following statement?
2x(6) = (6)2x
The commutative property of multiplication is illustrated by the statement.
The property illustrated by the statement "2x(6) = (6)2x" is the commutative property of multiplication. This property states that changing the order of multiplication does not change the product.
The property illustrated by the given statement is the commutative property of multiplication.
To understand this property, let's break down the given statement:
2x(6) = (6)2x
In this expression, we have the multiplication operation between 2x and 6, and in the second part, we have the multiplication operation between 6 and 2x.
According to the commutative property of multiplication, when we multiply two numbers, the order of the factors does not affect the result. This means that if we multiply the numbers A and B, or we multiply the numbers B and A, we will get the same result.
So, in the given statement, the expression 2x(6) is equivalent to (6)2x because the commutative property of multiplication allows us to rearrange the factors without changing the product.