Standard Form and Estimation

Round whole numbers and decimals to a given number of decimal places or significant figures, and convert simple large/small numbers between ordinary and standard form.

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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-K-Y9-07
  • NZC26-P4-NUM-NSO-P-Y10-06
  • NZC26-P4-NUM-NSO-P-Y10-01
  • NZC26-P4-NUM-NSO-P-Y9-08

Resources

Terminology

  • Standard form
  • Ordinary number
  • Power of ten
  • Estimate
  • Significant figure
  • Degree of accuracy

Task goals

  • Foundation: Round whole numbers and decimals to a given number of decimal places or significant figures, and convert simple large/small numbers between ordinary and standard form.
  • Proficient: Perform multiplication and division of numbers given in standard form, and use rounding to estimate the answer to a multi-step calculation before checking it.
  • Excellence: Solve real-world problems (e.g. astronomical distances, micro-measurements) requiring standard form arithmetic combined with justified estimation of reasonable error bounds.

Where this fits

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

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Standard Form and Estimation

Standard Form and Estimation

Know

Rounding and estimation support efficiently predicting results and checking the reasonableness of calculations.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-07
Do

Using rounding and estimation to predict results and to check the reasonableness of calculations

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-08

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