Final answer:
The presence of 'organized biomolecules and specialized structures' demonstrates the biological characteristic of order, which is a fundamental trait of living organisms as it dictates the complexity and hierarchical structure from atoms to ecosystems.
Step-by-step explanation:
The characteristic of life that is demonstrated by an organism having 'organized biomolecules and specialized structures' refers to order. Order is one of the several key characteristics that biologists agree are indicative of life. Organisms exhibit a hierarchy of organization at different levels, from atoms to ecosystems. Atoms combine to form molecules, molecules form macromolecules such as DNA which is vital for life functions, and these biomolecules further assemble into organelles. Organelles are the specialized structures within cells that perform distinct processes. The organization continues up through cells, tissues, organs, organ systems, organisms, and beyond into populations and ecosystems.
The presence of organized structures and biomolecules is essential because it allows for the regulation and maintenance of various life processes which are characteristics that define life, such as growth and development, metabolism, and response to environmental changes.