Which mathematical property is shown in the equation 1 x A = A?

The identity property of multiplication states that when any number is multiplied by one, the result is that same number. In the equation ( 1 \times A = A ), the multiplicative identity, which is 1, does not alter the value of A. This property showcases that multiplying by one leaves the original number unchanged, hence reinforcing the idea of identity in multiplication.

Understanding this property is crucial in various areas of mathematics, including algebra and arithmetic. The other properties listed refer to different operations: the distributive property involves distributing multiplication over addition, the commutative property indicates that the order of multiplication does not affect the result, and the associative property relates to how numbers are grouped during multiplication. Each of these properties operates under different principles, but in this equation, the focus is on how multiplying with the identity number, one, affects the outcome.