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Year 8 · Mathematics · Number

AC9M8N02

establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers

The content description above is Australian Curriculum, Assessment and Reporting Authority (ACARA)’s own wording, reproduced unmodified from the Australian Curriculum v9.0, read in August 2026, and licensed CC BY 4.0.

© Australian Curriculum, Assessment and Reporting Authority (ACARA) 2010 to present, unless otherwise indicated. This material was downloaded from the Australian Curriculum website and was not modified. ACARA does not endorse this product and is not affiliated with it.

Taught alongside it

The rest of Number in Year 8.

AC9M8N01

recognise irrational numbers in applied contexts, including square roots and \(π\)

AC9M8N03

recognise terminating and recurring decimals, using digital tools as appropriate

AC9M8N04

use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate

AC9M8N05

use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model

The same idea, year by year

Where AC9M8N02 comes from and where it goes, for a student working below or above Year 8.

  1. Year 7AC9M7N01describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
  2. Year 7AC9M7N02represent natural numbers as products of powers of prime numbers using exponent notation
  3. Year 7AC9M7N03represent natural numbers in expanded notation using place value and powers of 10
  4. Year 7AC9M7N04find equivalent representations of rational numbers and represent rational numbers on a number line
  5. Year 7AC9M7N05round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
  6. Year 7AC9M7N06use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
  7. Year 7AC9M7N07compare, order and solve problems involving addition and subtraction of integers
  8. Year 7AC9M7N08recognise, represent and solve problems involving ratios
  9. Year 7AC9M7N09use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
  10. Year 9AC9M9N01recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

Planning against AC9M8N02?

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