Elementary Mathematics (Module 1)

The Number System is a fundamental concept in mathematics that classifies numbers into different categories based on their properties. Here’s a brief overview of the main types of numbers:

 Natural Numbers: These are the counting numbers starting from 1, 2, 3, and so on (e.g., 1, 2, 3,...).  Integers: These include all natural numbers, their negative counterparts and zero (e.g., -3, -2, -1, 0, 1, 2, 3,...).  Rational Numbers: Any number that can be expressed as a fraction of two integers, where the denominator is not zero (e.g., 1/2, -3/4, 5).  Irrational Numbers: Numbers that cannot be expressed as a simple fraction. Their decimal expansions are non-terminating and non- repeating (e.g., π, √2).  Real Numbers: This includes both rational and irrational numbers. Essentially, any number that can be found on the number line (e.g., - 5, 0, 1/3, π).  Complex Numbers: Numbers that include a real part and an imaginary part (e.g., 3 + 4i, where i is the imaginary unit, square root of (-1)). Understanding these categories helps in grasping the broader scope of mathematics and how different types of numbers interact within mathematical operations and theories.