Textbook
Chapter 1: Indices
Chapter 2: Standard Form
Chapter 3: Consumer Mathematics: Savings and Investments, Credit and Debt
Chapter 4: Scale Drawings
Chapter 5: Trigonometric Ratios
Chapter 6: Angles and Tangents of Circles
Chapter 7: Plans and Elevations
Chapter 8: Loci in Two Dimensions
Chapter 9: Straight Lines
Chapter 1: Indices
What you need to learn in this chapter
In this chapter, we will be learning about indices in mathematics. Indices are a way to represent repeated multiplication in a shorter form. We will learn how to rewrite numbers in index form and vice versa. We will also study the laws of indices, which help us simplify and manipulate expressions with indices. These laws will allow us to perform operations like multiplication, division, and raising to a power with numbers in index form. By the end of this chapter, we will be able to confidently work with indices and solve problems involving them.
Topics in this chapter
1. Index Notation
What you will learn in this topic
- Represent repeated multiplication in index form and describe its meaning
- Rewrite a number in index form and vice versa
2. Law of Indices
What you will learn in this topic
- Relate the multiplication of numbers in index form with the same base, to repeated multiplications, and hence make generalisation
- Relate the division of numbers in index form with the same base, to repeated multiplications, and hence make generalisation
- Relate the numbers in index form raised to a power, to repeated multiplication, and hence make generalisation
- Verify that a^0 = 1 and a^(-n) = 1/(a^n); a not equal to 0
- Determine and state the relationship between fractional indices and roots and powers
- Perform operations involving laws of indices
- Solve problems involving laws of indices
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