Mathematics students often encounter confusion when distinguishing between rational and irrational numbers. However, mastering this fundamental concept becomes straightforward once you understand the ...

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 ...

The p-adics form an infinite collection of number systems based on prime numbers. They’re at the heart of modern number theory. The rational numbers are the most familiar numbers: 1, -5, ½, and every ...

Learn how to evaluate numbers raised to rational powers. When given a number raised to a rational power, we take the nth root of the number where n is the number in the denominator of the rational ...

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 video series, I show you how to simplify rational complex numbers. We do this by eliminating dividing by an imaginary number. We can either do this by multiplying by i, which produces -1, or ...