“There are five fundamental operations in mathematics,” the German mathematician Martin Eichler supposedly said. “Addition, subtraction, multiplication, division and modular forms.” Part of the joke, ...

Understand how to express the same number in different forms. Part of using base-ten numbers correctly is understanding how to express the same number in different forms. It is challenging to move ...

Bilinear forms and character sums have emerged as pivotal tools in analytic number theory, offering robust frameworks for investigating sums wherein variables interact multiplicatively. Bilinear forms ...

Practice time! Build, read, & write three-digit numbers using base-10 blocks and symbols. Practice time! Build, read, write (in standard and expanded form), and represent three-digit numbers using ...

The Markov numbers reveal the secrets of irrational numbers and the patterns of the Fibonacci sequence. But there’s one question about them that has resisted proof for over a century. Most people are ...