Operations with Decimals

Add and subtract decimals with matching numbers of decimal places, including simple money and measurement contexts.

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Learning objective overview

Master Teaching Guide coverage for this objective.

Current NZC (2007)
  • NA4-2
New NZC (2026)
  • NZC26-P4-NUM-NSO-K-Y9-03
  • NZC26-P4-NUM-NSO-P-Y10-07
  • NZC26-P4-NUM-NSO-K-Y9-06
  • NZC26-P4-NUM-NSO-P-Y9-13
  • NZC26-P3-NUM-NSO-P-Y7-22
  • NZC26-P3-NUM-NSO-P-Y7-25
  • NZC26-P3-NUM-NSO-P-Y8-18

Resources

Terminology

  • Decimal place
  • Decimal point
  • Power of ten
  • Rounding
  • Estimate
  • Place value

Task goals

  • Foundation: Add and subtract decimals with matching numbers of decimal places, including simple money and measurement contexts.
  • Proficient: Multiply and divide decimals by whole numbers and by powers of ten, rounding answers to a stated number of decimal places.
  • Excellence: Multiply and divide decimals by decimals and solve multi-step real-world problems that require sensible rounding and estimation checks.

Where this fits

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

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Operations with Decimals

Operations with Decimals

Know

There are an infinite number of rational numbers between any two numbers; these can be represented by terminating decimals, recurring decimals, and fractions.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-03
Know

Numbers, including fractions, decimals, and percentages, can be represented using number lines.

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-K-Y9-06

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