1. The problem asks about the product of 0 and infinity, specifically if it is indeterminate or simply 0 when 0 is an absolute value, not a limit. 2. In mathematics, infinity is not a real number but a concept representing unbounded growth. 3. The expression $0 \times \infty$ is considered an indeterminate form in limits because the behavior depends on how the zero and infinity are approached. 4. However, if you have a strict multiplication where one factor is exactly 0 (not a limit) and the other is an infinite quantity, the product is not well-defined in standard arithmetic because infinity is not a number. 5. In extended real number systems or certain contexts, $0 \times \infty$ is left undefined or considered indeterminate. 6. Therefore, even if 0 is absolute, multiplying by infinity does not yield a simple 0; it remains indeterminate or undefined. Final answer: The product $0 \times \infty$ is indeterminate and not simply 0.