Decide whether the statement is an example of the commutative, associative, identity, inverse, or distributive property. \( -\frac{1}{9}=\frac{6}{6} \cdot\left(-\frac{1}{9}\right)=-\frac{6}{54} \) What property is illustrated by the equation? A. commutative property B. inverse property C. associative property D. identity property E. distributive property

The statement \(-\frac{1}{9} = \frac{6}{6} \cdot\left(-\frac{1}{9}\right) = -\frac{6}{54}\) illustrates the identity property. This property suggests that multiplying any number by 1 (which is \(\frac{6}{6}\) in this case) does not change its value. Thus, the equation highlights how the original value is retained through multiplication by the identity element. While the identity property is the main focus here, this statement also serves as a good reminder of how fractions can be manipulated and expressed differently. For example, multiplying by \(\frac{6}{6}\) helps reaffirm that the fraction \(-\frac{1}{9}\) remains unchanged, showcasing the beauty of equivalent fractions. It’s a fun way to explore the relationships in mathematics!