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'sixteenth' is correct and usable in written English
You can use it to express a position or order of something in the sequence of sixteen items. For example: "He finished sixth in the race and was the sixteenth runner to cross the finish line."
Dictionary
sixteenth
noun
One of sixteen equal parts of a whole.
synonyms
Exact(53)
An individual must prove that, say, a quarter, an eighth, or a sixteenth of his "blood" is from a given tribe.Casino money has brought out the perversity in these rules.
When one market maker offered a quote superior to all others, it was in an odd sixteenth only 11.8% of the time.Does this mean that some price fixing still occurs on Nasdaq?
Historians attribute everything from the dominance of the Spanish Empire in Europe to the sudden increase in witch hunts around the sixteenth century to the destabilising effects of inflation on European society.
This year, the sixteenth since it was founded, the forum attracted the bosses of such global giants as Goldman Sachs and McKinsey, as well as everyone who is anyone in the energy business.
Professor Pearson ends with the sixteenth century and puritan fears about, if not gangsta rap, popular songs that treated criminals as heroes.Now, none of this is much comfort if you live in one of the areas of England that has just been looted or burned.
Smith himself argued this was one of the greatest economic changes that resulted from the discovery of the Americas The discovery of the abundant mines of America, reduced, in the sixteenth century, the value of gold and silver in Europe to about a third of what it had been before.
Similar(7)
Over the years, both the tribe and the beautiful 2,000-acre 2,000-acren they wereservation easthey Connecticut steadily contracted, so that by the time Eliza Plouffe, the last resident died in 1973, only 200 acres of land remained.After failing to run a snack bar successfully or become a preacher, Plouffe's grandson, the one-sixteenth Pequot Skip Haywere, decided to reclaim his Indian heritagiven
Perhaps because of his important contribution to the sixteenth-century revival of Thomism, Cajetan's contribution to discussions of analogy has been misrepresented in modern times.
Gingerich (2004, 55) noted "the majority of sixteenth-century astronomers thought eliminating the equant was Copernicus' big achievement".
A possible solution to this problem was posed by the sixteenth-century Spanish Jesuit, Luis de Molina (1588).[3] According to Molina, God is able to know as creator how any exercise of creaturely freedom will go.
Indeed, any term whatsoever could be taken as having material supposition for itself or its equiforms, or as having personal supposition, and in early sixteenth-century Parisian logic texts it was normal to remark that all singular terms are common, and all common terms are singular when taken in these different ways.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com