New Cur 5: Non-Reoccuring Decimals

Last year, we held a competition: What Are the Arguments FOR the Draft Mathematics Curriculum. The winner was officially no one, partly because everyone was too cynical to take the competition seriously, and partly because everyone’s cynicism was very largely justified. Still, we decided to declare John Friend the winner, for his suggestion in a different competition. John’s suggestion was an elaboration from Year 8 Number:

investigating the use of pronumerals to represent recurring decimals as their equivalent fractions, for example, let \color{RawSienna}\boldsymbol{x = 0.\bar7} then \color{RawSienna}\boldsymbol{x = 0.77777..} and \color{RawSienna}\boldsymbol{10x = 7.77777...} thereforeĀ  \color{RawSienna}\boldsymbol{10x \mbox{ \bf - } x = 7} and 9x = 7 so \color{RawSienna}\boldsymbol{x = \frac79} (old AC9M8N03)

This elaboration has been removed for the approved curriculum.

There’s a famous Evelyn Waugh line, commenting on Randolph Churchill having had a benign tumour removed: “It was a typical triumph of modern science to find the only part of Randolph that was not malignant and remove it”.

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