Standard Form (Scientific Notation)

Convert large whole numbers between ordinary form and standard form, ensuring the leading coefficient satisfies 1 ≤ a < 10.

Worksheet Builder All resources ☕ Shout us a flat white Download All

Te reo Māori terms

click each term to open in Te Aka

Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA5-6
New NZC (2026)
  • NZC26-P4-NUM-NSO-K-Y10-08
  • 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

Resources

Terminology

  • Standard form
  • Scientific notation
  • Ordinary form
  • Power of 10
  • Negative index
  • Leading coefficient

Task goals

  • Foundation: Convert large whole numbers between ordinary form and standard form, ensuring the leading coefficient satisfies 1 ≤ a < 10.
  • Proficient: Convert small decimal numbers to and from standard form using negative indices, and order numbers given in standard form.
  • Excellence: Multiply and divide numbers given in standard form and apply standard form to real-world large/small quantity contexts, expressing answers correctly.

Where this fits

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

You are here

Standard Form (Scientific Notation)

Standard Form (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

Explore the whole sequence →