Question

Why $\pi$ is irrational and $\frac{22}{7}$ is rational?

Answer 1

Rational and irrational numbers:

• Rational numbers are those numbers that can be written as a fraction of two numbers where the denominator is not zero.
• Irrational numbers are those numbers that cannot be written as a fraction of two numbers.
• The approximate value of $\pi$ is $3.14159...$ which is a non-terminating and non-repeating decimal. This cannot be written as a fraction of two whole numbers.
• The number $\frac{22}{7}$is an approximation of the value of $\pi$ that is used for easier calculations. Since $22$ and $7$are two whole numbers that are written in the form of a fraction, it is a rational number,