Final answer:
The author finds the wide applicability and real-world relevance of numbers surprising given their abstract nature, contrasting with the precision often assumed in schoolwork. Mathematics is seen as a universal language that is inherently practical, despite it appearing intimidating like deep water to some.
Step-by-step explanation:
The author finds it surprising that numbers can be so widely applicable to various concepts, such as length, area, and degree. The expectation might be that numbers are contrived or purely formal concepts, yet they relate very directly and effectively to real-world experiences. This effectiveness is surprising because, in the real world, we often deal with approximate numbers and estimations, which don't have the same precision as mathematical problems imply.
Despite some individuals perceiving math as a difficult or intimidating area, much like being in deep water, with practice and the right mindset, we can become comfortable and even playful with numbers, similar to dolphins in the water. Mathematics provides a universal language, indicating that its rules could potentially be recognized by any intelligent species, despite cultural or linguistic differences. Moreover, dimensional analysis is a practical skill that helps ensure the equations we create are consistent and applicable in a physical context.
Ultimately, engaging with math is not just about memorizing formulas but about understanding the fundamental properties that describe the nature of our universe, therefore highlighting the innate applicability of numbers to real-world scenarios.