Explore a fresh perspective on Hindu-Arabic numerals and their arithmetic in this 34-minute video lecture from the Math Foundations series. Delve into the extension of the vexel approach from binary to base-ten arithmetic, laying a proper foundation for familiar arithmetic concepts. Learn about base 10 vexels, Vex(10), addition and multiplication in Vex(10), and the vexel way of understanding numbers. Examine the Hindu-Arabic numeral system, discuss meaningful distinctions in mathematics, and explore different levels of programming languages. Gain valuable insights into the fundamental structures underlying our number system and arithmetic operations.