4 of 294 of 29 Items Question Which property is illustrated by the following statement? 2x(6) = (6)2x (1 point)
The property illustrated by the following statement is the commutative property of multiplication. This property states that the order in which numbers are multiplied does not affect the product. In this case, multiplying 2 and 6 is the same as multiplying 6 and 2.
The property illustrated by the statement 2x(6) = (6)2x is the Commutative Property of Multiplication.
The property illustrated by the statement 2x(6) = (6)2x is the commutative property of multiplication.
To understand this property, we need to know what commutative means. In mathematics, the commutative property states that the order in which numbers are combined using addition or multiplication does not affect the final result.
So, in this case, the commutative property of multiplication states that the order of the numbers being multiplied does not change the product. It doesn't matter if we multiply 2 and 6 first or 6 and 2 first, the result will be the same.
To verify this property using the given statement, we can perform the operations:
2x(6) = 12
(6)2x = 12
As we can see, both sides of the equation result in the same value of 12. Therefore, the statement illustrates the commutative property of multiplication.