Description
What does it really mean for a decimal expansion to continue forever?
Learners compare different kinds of infinite decimal and investigate the difference between repetition and genuine non-repetition.
This lesson includes:
- terminating decimals;
- repeating decimals and recurring blocks;
- rational numbers written as infinite decimals;
- examples such as 1/7 and its repeating pattern;
- irrational decimals such as √2 and π;
- careful reasoning about what “goes on forever” actually tells us.
The printable handout provides explanations, worked examples, investigations, parent/tutor guidance and answers/discussion, so it can be used independently of the online lesson.
Suitable for learners aged 10 and over.
This is Lesson 4 of the six-part Beyond Curriculum: Magical Numbers course.
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