Scientific notation

Develop secure understanding of scientific notation.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-6
New NZC (2026)
  • NZC26-P4-NUM-NSO-P-Y9-02
  • NZC26-P4-NUM-NSO-K-Y10-02
  • NZC26-P4-NUM-NSO-K-Y9-01
  • NZC26-P4-NUM-NSO-P-Y10-01
  • NZC26-P3-NUM-NSO-K-Y7-04
  • NZC26-P3-NUM-NSO-K-Y8-02
  • NZC26-P3-NUM-NSO-K-Y8-03
  • NZC26-P3-NUM-NSO-P-Y8-03

Resources

Terminology

  • scientific notation
  • standard form
  • exponent
  • power

Task goals

  • Write a large number in scientific notation as a number between 1 and 10 multiplied by a power of 10.
  • Write a small decimal number in scientific notation using a negative power of 10.
  • Convert a number from scientific notation back to ordinary (standard) form.
  • Compare and order numbers written in scientific notation.
  • Round a number given in scientific notation to a stated number of significant figures.
  • Multiply and simplify expressions involving numbers written in scientific notation.
  • Use scientific notation to represent and reason about very large or very small real-world quantities.

Where this fits

What leads into this objective, and where it goes next.

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Scientific notation

Scientific notation

Do

Recording, comparing, and ordering whole and decimal numbers using scientific notation (e.g. 3.14 × 10^3)

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-02
Know

A number written in scientific notation has the form a × 10^k, where 1 ≤ a < 10 and k is an integer.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-01

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