Mathematics students face challenges with rational and irrational numbers. Understanding the principles and patterns simplifies this concept. Rational numbers can be fractions of integers ...

Numbers beyond Fractions We now learn in school that some values—the so-called irrational numbers—cannot be expressed as the ratio of two integers. But this realization is far from obvious.

Pi belongs to a huge mathematical group called irrational numbers, which go on forever and cannot be written as fractions. Scientists have calculated pi to 105 trillion digits, although most of us ...

It’s that the golden ratio, among all irrational numbers, is the most irrational one. What can that mean? Either a number is the ratio of two whole numbers or it isn’t*.

Because every transcendental number is irrational, any proof showing that pi is transcendental also proves that pi is irrational. — Will we ever have quantum laptops? — Who was the first cyborg?