Rounding to significant figures and applying precision to calculations

Count how many significant figures a number has, round a number to a stated number of significant figures, convert between ordinary numbers and scientific notation, and round the result of a calculation to a given number of significant figures.

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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-Y10-08
  • NZC26-P4-NUM-NSO-K-Y10-07
  • NZC26-P4-MEA-MEA-K-Y10-02
  • NZC26-P4-NUM-NSO-K-Y9-07
  • NZC26-P4-MEA-MEA-P-Y10-01
  • NZC26-P4-NUM-NSO-P-Y9-09
  • NZC26-P4-NUM-NSO-P-Y10-06
  • NZC26-P4-MEA-MEA-K-Y9-01
  • NZC26-P4-MEA-MEA-K-Y10-01
  • NZC26-P4-NUM-NSO-P-Y9-08

Resources

Terminology

  • significant figure
  • round
  • scientific notation
  • precision
  • placeholder zero

Task goals

  • Count how many significant figures are in a number, including numbers with leading, trailing, or placeholder zeros.
  • Round a number to a stated number of significant figures.
  • Convert a number written in scientific notation to an ordinary number, and an ordinary number to scientific notation, to a stated number of significant figures.
  • Carry out a calculation (addition, subtraction, multiplication, or division), including with numbers in scientific notation, and round the result to a stated number of significant figures.
  • Compare two or three decimal values with different numbers of trailing zeros and identify which is written to the greater precision.
  • Apply significant-figure rounding to a real-world calculation such as an area, speed, or density, giving the answer to a stated number of significant figures.

Where this fits

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

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Rounding to significant figures and applying precision to calculations

Rounding to significant figures and applying precision to calculations

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

Rounding to the degree of precision required for the context

Statement▸
Year 9 · Number · Number structures and operations
NZC26-P4-NUM-NSO-P-Y9-09

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