Mathematics
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9.7 Indices and Scientific Notation

Term 3

Index laws · Negative & fractional indices · Scientific form arithmetic

Learning Objectives

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Indices

  1. 1. Evaluate numerical expressions involving positive integer indices.
  2. 2. Apply the index laws for multiplication, division and power of a power.
  3. 3. Evaluate expressions with zero and negative integer indices.
  4. 4. Evaluate expressions with fractional indices (e.g. a^(1/2), a^(1/3)).
  5. 5. Simplify algebraic expressions using the index laws.

Scientific Notation

  1. 6. Convert between ordinary numbers and scientific (standard) form.
  2. 7. Multiply and divide numbers in standard form.
  3. 8. Apply compound percentage change to numbers in standard form.

Review Pack

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Fluency Pack A — 40 questions
Fluency Pack B — 40 questions
Problem-solving — 12 unfamiliar tasks
Worked solutions (Pack A + B + problems)