AC9M8N01Year 8NumberPractised on site

AC9M8N01 — Year 8 Number

Official Curriculum Content Description:

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

Worked Examples (1)

Example 1Distinguishing Rational & Irrational Numbers

Classify the number

\sqrt{25}

as either rational or irrational.

Common mistake: Mistaking the root of a perfect square for an irrational surd.

Correct Answer:rational

Worked Solution:

1. Examine the number

\sqrt{25}

. 2.

\sqrt{25} = 5

, which is a whole integer. 3. Therefore,

\sqrt{25}

is rational.

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