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  4. A.3 Algebraic Foundations
Topic 03Mathematics: Analysis and Approaches

A.3 Algebraic Foundations

Compress numbers of any scale with standard form, model money over time with compound interest, depreciation, and annuities, and learn the LHS-to-RHS structure of a deductive proof.

Practice questions
1

Standard form — a × 10^kSign up

Standard form a × 10^k

25 min
2

Financial applications — compound interest, depreciation, annuitiesSign up

Compound interest — single deposit · Depreciation · Annuities — repeated deposits + interest

35 min
3

Simple deductive proof — identities and the LHS-to-RHS structureSign up

Identity vs equation · LHS-to-RHS proof

25 min

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A.2 Exponents and Logarithms

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A.4 Binomial Theorem and Counting