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On the decimalization of English Money, and some simplifications in long division

  • J. Hamblin Smith
Extract

A method of expressing a sum of money as a decimal of a £ to 3 places has long been known. When further decimals are necessary, they may be got by the following simple rule, which appears to be new: multiply the last two decimals found at any stage of the process (after the first 3 have been obtained) by 4, take the digit in the ten's place of the product, append it to the decimals already found as the next decimal, and repeat the process; with the proviso that should the 4-product end with 48, 68, or 88 the digit in the ten's place is to be taken as 5, 7, or 9 respectively.

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* See Proceedings, Vol. XX., p. 58, 1902.

See Proceedings, Vol. XXL, p. 112, 1903.

See Proceedings, Vol. XXL, p. 112, 1903.

§ To make a beginning we may imagine the quotient to commence with two zeros.

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Proceedings of the Edinburgh Mathematical Society
  • ISSN: 0013-0915
  • EISSN: 1464-3839
  • URL: /core/journals/proceedings-of-the-edinburgh-mathematical-society
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