Published June 28, 2018 | Version 2.1
Working paper Open

Pronunciation of the integers with full use of the place value system


Kids in kindergarten and Grade 1 live in a world of sounds so that the pronunciation of numbers is important. When they are learning to read and write, the co-ordination of (i) sounds, (ii) numerals and (iii) written words is important. We already have the place value system fully in the numerals but not yet in pronunciation and written words. The following provides for this. The definition should become an ISO standard, though the notebook with package is quite simple because of the nature of the issue. The notebook with package provides an implementation and transliteration for English, German, French, Dutch and Danish, while other languages might employ Mathematica's IntegerName and WordTranslation without transliteration. Four levels in the curriculum are recognised for which routines are provided: (1) sounds, codified by words, (2) learning the numerals, (3) advanced: numerals in blocks of three digits, such that 123456 = {1 hundred, 2 ten, 3} thousand & {4 hundred, 5 ten, 6}, with the comma pronounced as "&" too, and (4) accomplished: 123 thousand 456 pronounced in above place value manner. The traditional pronunciation has level -4.


May 17 2018: Major revision. This is the PDF of the Mathematica notebook and package provided at The notebook and package are also available at June 28 2018: (a) discovery of Gothic "tigus", (b) support for this research at



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