How to classify real numbers between rational and irrational numbers

The video tutorial explains the distinction between rational and irrational numbers. Rational numbers can be expressed as fractions, while irrational numbers cannot. Examples of rational numbers include integers and fractions like -10, -20/2, and the square root of 9. Pi is highlighted as a classic example of an irrational number due to its non-repeating, non-terminating decimal form. The tutorial also covers square roots, explaining that while the square root of 36 is rational, the square root of 37 is irrational because it cannot be expressed as a fraction.

What defines a rational number?

What is the significance of being able to represent a number as a fraction?

Can you provide an example of an irrational number and explain why it is classified as such?

Explain why the square root of 37 is considered an irrational number.

How can you determine if a number is rational or irrational?