A working knowledge of science, both as a body of facts and as a habit of thought, helps people understand the world in ways that aren't available to less science-literate people. A working understanding of botany, for example, is invaluable in keeping up a garden, while a willingness to consider new ideas combined with jaded skepticism is helpful in buying a used car.
Everyday applications of scientific knowledge, apart from the ubiquitous technology people constantly use, are many and diverse. An understanding of solar radiation can prevent a painful sunburn, an awareness of inertia is part of safe driving and a grasp of number theory and statistics saves money on lottery tickets.
Beyond these pedestrian applications, internalizing the scientific method as a regularly used mental tool preserves calm when exaggerated crime statistics are quoted on the news. The openness to novel concepts encourages exploration and discovery, while the skeptical demand for evidence helps safeguard its practitioners from unscrupulous people asking for money, favors and votes.
Science also has the ability to comfort its adherents and promote good behavior. It was the modern understanding of genetics, for example, that revealed how closely related all humans really are. Science has lifted up the human spirit by teaching its students hidden truths and inspiring feats of technical genius.