Introduction to Number Systems
ch1-introduction
Rational Numbers
ch1-rational-numbers
Exercise 1.1 - Detailed Solutions
ch1-exercise-1-1
Irrational Numbers
ch1-irrational-numbers
Exercise 1.2 - Detailed Solutions
ch1-exercise-1-2
Real Numbers & Decimal Expansions
ch1-real-decimals
Exercise 1.3 - Detailed Solutions
ch1-exercise-1-3
Operations on Real Numbers
ch1-operations
Rationalizing the Denominator
ch1-rationalization
Exercise 1.4 & 1.5 - Solutions
ch1-exercise-1-4-5
Laws of Exponents for Real Numbers
ch1-laws-exponents
Chapter 1 Summary
ch1-summary
What is a Polynomial?
ch2-introduction
Types of Polynomials
ch2-types
Zeroes of a Polynomial
ch2-zeroes
Exercise 2.1 - Detailed Solutions
ch2-exercise-2-1
Remainder Theorem
ch2-remainder-theorem
Factor Theorem
ch2-factor-theorem
Algebraic Identities
ch2-identities
Exercise 2.4 - Identity Applications
ch2-exercise-2-4
Chapter 2 Summary
ch2-summary
Developed by French mathematician René Descartes (1596-1650), the Cartesian plane lets us describe locations using numbers!
| Direction | X value | Y value |
|---|---|---|
| Right | Positive (+) | - |
| Left | Negative (-) | - |
| Up | - | Positive (+) |
| Down | - | Negative (-) |
The axes divide the plane into 4 regions:
| Quadrant | Position | Coordinates |
|---|---|---|
| I | Top-Right | (+,+) |
| II | Top-Left | (−,+) |
| III | Bottom-Left | (−,−) |
| IV | Bottom-Right | (+,−) |
Memory Trick: Start from Quadrant I (positive area) and go counter-clockwise!
With coordinates, we can:
Interactive Visualization