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
Solution:
Step 1: Choose two perpendicular edges of your table as axes
Step 2: Measure distances
Example: If lamp is 25 cm from one edge and 30 cm from adjacent edge: Position = (25,30)
(i) Horizontal and vertical lines to determine position?
Answer: x-axis and y-axis (coordinate axes)
(ii) Name of each part of the plane?
Answer: Quadrant
(iii) Point where these lines intersect?
Answer: Origin (denoted O)
(i) Coordinates of B
Looking at point B:
Answer: (−5,2)
(ii) Coordinates of C
Answer: (5,−5)
(iii) Which point has coordinates (−3,−5)?
Answer: Point E
(vi) Ordinate of point H
Ordinate means y-coordinate.
Answer: −3
Interactive Visualization