How to Write Large Numbers in Scientific Notation

Mashup Math

This educational math video provides a clear, step-by-step introduction to scientific notation, a method used to express numbers that are too large or too small to be conveniently written in standard decimal form. Hosted by Anthony from Mashup Math, the lesson begins with a clear definition before moving into practical application. The video uses visual animations to demonstrate exactly how to convert standard numbers into scientific notation by counting decimal places. The video focuses specifically on converting very large numbers into scientific notation using positive exponents. It walks through two distinct examples: the population of Arizona (7.2 million) and a larger theoretical number (29.7 billion). Through these examples, students learn the procedure of moving the decimal point to create a number between 1 and 10, counting the number of places moved, and using that count as the exponent for the base of 10. This resource is highly valuable for middle school math classrooms as it visualizes the abstract concept of "moving the decimal." The use of on-screen loops to count place values helps concrete learners understand where the exponent comes from. It serves as an excellent introduction to the topic for Pre-Algebra or Algebra I students or as a refresher for science students encountering large data sets in chemistry or physics.