I just wanted to clarify this general doubt regarding irrational numbers.
Irrational numbers can be represented on the real number line. Thus, they are a part of the real numbers.
But, if a number like pi (3.14159…) goes on forever, how can we represent it on the number line accurately?
Irrational numbers cannot be expressed as a ratio of two integers (p/q, q ≠ 0), therefore they are not a part of the rational numbers.
But, irrational numbers can be represented as a ratio of two integers right?
For example, pi can be represented as circumference by diameter.
Root 2 can be represented as diagonal by side of a square.
I’m quite confused.
Thank you for your time.