Decide whether the statement is an example of a commutative, associative, identity or inverse property, or of the distribufive property. \( \left(\frac{5}{3}\right) \cdot\left(\frac{3}{5}\right)=1 \) Choose the correct answer below. A. Asseciative property B. Identity property C. Inverse property D. Distributive property E. Commutative property

This statement, \( \left(\frac{5}{3}\right) \cdot\left(\frac{3}{5}\right)=1 \), is an example of the inverse property. The inverse property states that for any number \( a \), there exists an inverse \( \frac{1}{a} \) such that \( a \cdot \frac{1}{a} = 1 \). In this case, \( \frac{5}{3} \) and \( \frac{3}{5} \) are inverses of each other, as their product equals 1. Now, let’s talk about why understanding properties like this is crucial in various real-world applications. From simplifying complex equations in engineering to balancing chemical reactions in science, recognizing how numbers interact based on these fundamental properties can streamline problem-solving. It’s like having a secret code that makes math much easier to navigate!