Rational numbers: Numbers that can be expressed as a fraction of two integers, where the denominator is not zero.
Irrational numbers: Numbers that cannot be written as a simple fraction, characterized by non-repeating, non-terminating decimal expansions.
Surds: Irrational roots that cannot be simplified to remove the root, representing exact radical expressions that remain in root form.
Indices laws: Rules that govern the manipulation of powers and roots, including properties such as multiplying powers with the same base, dividing powers, and raising powers to powers.
Standard form: A way of writing numbers as a product of a number between 1 and 10 and a power of 10, used to handle very large or very small values efficiently.
1. What is a key characteristic of index laws in number calculations?
2. What is the primary purpose of factorisation in algebraic expressions and equations?
3. What is the primary purpose of the equation of a line in coordinate geometry and graphs?
Number systems — types?
Rational and irrational numbers
Surds — what?
Exact radical expressions remaining in root form
Indices laws — purpose?
Simplify powers and roots operations
Standard form — use?
Handle very large or small numbers efficiently
Algebraic expressions — example?
Polynomial expressions with variables and coefficients
Factorisation — goal?
Express as product of factors for simplification
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