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A curious string of nines

Published online by Cambridge University Press:  01 August 2016

Hans Liebeck
Hans Liebeck*
Affiliation:
54 Sneyd Avenue, Newcastle, Staffs ST5 2PY
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Extract

The well-known non-terminating decimal expansion has the property that, if the first half of the recurring part, 142, is added to the second, 857, the result is 999. Surprisingly, this is not a ‘one-off’ phenomenon. For example,

The reader is invited to test and . Further examples will be found in John R. Silvester’s article. We shall examine when and why the above property of recurring decimals occurs.

Type
Articles
Information
The Mathematical Gazette , Volume 85 , Issue 504 , November 2001 , pp. 431 - 438
Copyright
Copyright © The Mathematical Association 2001

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References

1. Silvester, John R., Decimal déjó vu, Math. Gaz. 83 (November 1999) pp. 453–463.Google Scholar
2. Jagadguru Swami Sri Bharati Krsna Tirthaji Maharaja, Vedic mathematics or sixteen simple mathematical formulae from the Vedas, Motilal Banarsidass, Delhi (1965).Google Scholar
3. Liebeck, Hans, A short cut in long division, Math. Gaz. 85 (2001) pp. 463–466.Google Scholar