Real Number System

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

The set of natural numbers includes all positive integers starting from 1: {1, 2, 3, ...}.

Whole numbers include all natural numbers plus zero: {0, 1, 2, 3, ...}.

Integers are whole numbers that can be positive, negative, or zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}.

An irrational number is a number that cannot be expressed as a simple fraction; its decimal representation goes on forever without repeating.

Yes, 8/11 is a rational number because it can be expressed as a fraction of two integers.

The set of rational numbers includes all numbers that can be expressed as a fraction, including integers, whole numbers, and finite or repeating decimals.

5/0 is NOT a rational number because division by zero is undefined.

All rational numbers are also real numbers, but not all real numbers are rational (e.g., irrational numbers).

An example of a whole number is 5.