1.1.1
Whole Numbers
Whole Numbers
Whole Numbers
Algebra uses numbers and symbols to represent words and ideas. Let’s look at the numbers first.
![Illustrative background for Counting numbers](https://image-v2.cdn.app.senecalearning.com/2019-04/b485e6a0-ca4e-4bc5-86c2-4cd849473775/count-numbers,h_400,q_80,w_640.jpeg)
![Illustrative background for Counting numbers ?? "content](https://image-v2.cdn.app.senecalearning.com/2019-04/b485e6a0-ca4e-4bc5-86c2-4cd849473775/count-numbers,h_400,q_80,w_640.jpeg)
Counting numbers
Counting numbers
- The most basic numbers used in algebra are those we use to count objects: 1, 2, 3, 4, 5, … and so on.
- These are called the counting numbers.
- The notation “…” is called an ellipsis, which is another way to show that the pattern continues endlessly.
- Counting numbers are also called natural numbers.
![Illustrative background for Whole numbers](https://image-v2.cdn.app.senecalearning.com/2020-01/debe8565-553a-4eda-8c38-7098b4321f0b/whole-numbers,h_400,q_80,w_640.png)
![Illustrative background for Whole numbers ?? "content](https://image-v2.cdn.app.senecalearning.com/2020-01/debe8565-553a-4eda-8c38-7098b4321f0b/whole-numbers,h_400,q_80,w_640.png)
Whole numbers
Whole numbers
- The discovery of the number zero was a big step in the history of mathematics.
- Including zero with the counting numbers gives a new set of numbers called the whole numbers.
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
Jump to other topics
1Proof
1.1Types of Numbers
1.2Notation
2Algebra & Functions
2.1Powers & Roots
2.2Quadratic Equations
2.3Inequalities
2.4Polynomials
2.5Graphs
2.7Transformation of Graphs
3Coordinate Geometry
3.1Straight Lines
3.2Circles
3.2.1Equations of Circles centred at Origin
3.2.2Finding the Centre & Radius
3.2.3Equation of a Tangent
3.2.4Circle Theorems - Perpendicular Bisector
3.2.5Circle Theorems - Angle at the Centre
3.2.6Circle Theorems - Angle at a Semi-Circle
3.2.7Equation of a Perpendicular Bisector
3.2.8Equation of a Circumcircle
3.2.9Circumcircle of a Right-angled Triangle
3.3Parametric Equations (A2 only)
4Sequences & Series
4.1Binomial Expansion
5Trigonometry
5.2Trigonometric Functions
5.3Triangle Rules
6Exponentials & Logarithms
6.1Exponentials & Logarithms
7Differentiation
7.1Derivatives
7.2Graphs & Differentiation
7.3Differentiation With Trigonometry and Exponentials
7.4Rules of Differetiation (A2 only)
7.5Parametric & Implicit Differentiation
8Integration
8.1Integration
9Numerical Methods
9.1Finding Solutions
9.2Finding the Area
10Vectors
10.12D Vectors
10.23D Vectors
10.3Vector Proofs
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