AC9M9N01Year 9NumberPractised on site

AC9M9N01 — Year 9 Number

Official Curriculum Content Description:

recognise that the real number system includes the rational numbers and the irrational numbers, and solve problems involving real numbers using digital tools

Worked Examples (1)

Example 1Distinguishing Rational & Irrational Numbers
Which of the following numbers is an irrational number? A: 36\sqrt{36} B: 0.25\sqrt{0.25} C: 256\sqrt{256} D: 10\sqrt{10} Give the letter (A, B, C, or D).
Common mistake: Confusing rational and irrational expressions.
Correct Answer:D
Worked Solution:
1. Test each option: - 10\sqrt{10} is irrational because 1010 is not a perfect square, so 10\sqrt{10} is an irrational surd. - The remaining options are roots of perfect squares (rational numbers). 2. The correct option is D.

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