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From Middle Englishtenth, tenthe. Old English had tēoþa (origin of Modern Englishtithe), but the force of analogy to the cardinal number "ten" caused Middle English speakers to recreate the regular ordinal and re-insert the nasal consonant. Ultimately from Proto-Germanic*tehundô. Equivalent to ten(numeral) + -th(suffix forming ordinals).
a.1776, Joseph Baretti, “Dialogue the Fortieth”, in Easy Phraseology for the Use of Those Persons Who Intend to Learn the Colloquial Part of the Italian Language, 1835 edition, Turin: Joseph Bocca, page 221:
These words are formed by the rusty iron point with which I write with difficulty in scrapings of soot and charcoal from the chimney, mixed with blood, in the last month of the tenth year of my captivity.
The Ephah and the Bath shal be of one measure, that the Bath may containe the tenth part of an Homer, and the Ephah the tenth part of an Homer: the measure thereof shall be after the Homer.
Economics is a messy discipline: too fluid to be a science, too rigorous to be an art. Perhaps it is fitting that economists’ most-used metric, gross domestic product (GDP), is a tangle too. GDP measures the total value of output in an economic territory. Its apparent simplicity explains why it is scrutinised down to tenths of a percentage point every month.
(music) The interval between any tone and the tone represented on the tenth degree of the staff above it, as between one of the scale and three of the octave above; the octave of the third.
tenth (third-person singular simple presenttenths, present participletenthing, simple past and past participletenthed)
To divide by ten, into tenths.
1832, The Practical Measurer, Containing the Uses of Logarithms, and Gunter's Scale:
A regular cistern may be inched or tenthed by the rule given for inching or tenthing the back, copper, or cooler, which inching or tenthing should be entered in a table book for use.