(2x)yz=2(xy)z property statement
Associate property statement of Muliplcation
Communcation property of mutlipcation
Inverse property of inverse of multiplcation
The property statement you provided, "(2x)yz=2(xy)z," is an example of the associative property of multiplication as it shows that the grouping of the factors does not affect the result.
The associative property of multiplication states that for any real numbers a, b, and c, the product will be the same regardless of how you group the factors, i.e., (ab)c = a(bc).
The commutative property of multiplication states that for any real numbers a and b, the product will be the same regardless of the order of the factors, i.e., ab = ba.
The inverse property of multiplication states that for any nonzero real number a, there exists a reciprocal or inverse denoted as 1/a, such that the product of a and its reciprocal is equal to 1, i.e., a(1/a) = 1.
Property Statement: (2x)yz = 2(xy)z
Associative Property of Multiplication: This property states that the grouping of numbers in a multiplication expression does not affect the result. In other words, you can change the order of multiplication and still obtain the same result.
Communication Property of Multiplication: This property states that the order of numbers being multiplied does not affect the result. In other words, you can switch the order of multiplication and still obtain the same result.
Inverse Property of Multiplication: This property states that every non-zero number has a multiplicative inverse. The multiplicative inverse of a number is the number that, when multiplied by the original number, yields a product of 1.