How are million, billion, trillion named

Million, billion, and trillion are named using a systematic approach based on Latin numerical prefixes, though two different systems exist: the short scale and the long scale. In the short scale system (used in the United States and modern British English), each new term represents 1,000 times the previous one: million (10⁶), billion (10⁹), trillion (10¹²), quadrillion (10¹⁵), and so on. The names derive from Latin roots: "bi-" for two (billion = million²), "tri-" for three (trillion = million³ in the older conceptualization, though now it's 1,000³), "quadri-" for four, "quint-" for five, and continuing upward.

In the long scale system (historically used in Britain and still common in many European countries), billion means a million million (10¹²), and trillion means a million billion (10¹⁸), with each named number being a million times the previous one rather than a thousand times. This creates confusion when comparing international usage, which is why it's important to clarify which system is being used. Beyond trillion, the short scale continues with quadrillion, quintillion, sextillion, septillion, octillion, nonillion, decillion, and beyond, following Latin numerical prefixes. For extremely large numbers, the Conway-Wechsler system extends this naming indefinitely using combinations of Latin roots, though in practice, scientists and mathematicians typically use scientific notation (like 10¹⁵) rather than names for numbers beyond a few trillion.