Detailed Summary
This section on Number Systems provides a comprehensive understanding of various classifications of numbers. The journey begins with natural numbers (N), which include counting numbers like 1, 2, 3, etc. Next, whole numbers (W) are introduced, including 0 along with natural numbers. The discussion then extends to integers (Z), which encompass both positive and negative whole numbers, including zero.
Rational numbers (Q) form another category, defined as numbers that can be expressed in the form \( \frac{p}{q} \) where \(p\) and \(q\) are integers and \(q \neq 0\). This also means that every integer, whole number, and natural number is inherently a rational number.
The section proceeds to discuss irrational numbers, which cannot be expressed as a simple fraction. Notable examples include square roots of non-perfect squares and constants like π. The broader definition encompasses real numbers, which consist of both rational and irrational numbers.
By the conclusion, learners will appreciate how number systems not only build foundational knowledge in mathematics but also serve as a basis for advanced concepts.