When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

Countless debates in classrooms, lecture halls and online forums have swirled around the question of whether 0.999... equals ...

rational approximations of π (pi) using Python. Learn how fractions can closely approximate irrational numbers and discover why famous ratios like 22/7 and 355/113 work so well. We’ll use Python to ...

A rational number can be written exactly in the form \(\frac{a}{b}\), where 𝑎 and 𝑏 are integers, while an irrational number cannot.

In this chapter, we look beyond the whole numbers at other numbers that are included in school mathematics in grades pre-K to 8, particularly in the upper grades. We first look at the rational numbers ...