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The part of a sentence 'relatively small number' is correct and can be used in written English.
It is typically used to describe a countable quantity that is not large, but may not necessarily be considered small in a general sense. It is often used in comparison to a larger number. Here is an example sentence: "Although there were many applicants for the job, a relatively small number of candidates were invited for interviews."
Exact(60)
There was a relatively small number of western climbers injured".
The battle is over a relatively small number of judges.
The centre holds a relatively small number of refugees: 442.
We have a relatively small number of ports and airports.
So far only a relatively small number have defected.
A relatively small number of species parasitize beneficial insects.
But the billions of Tweets and videos and stories all travel over a relatively small number of fibre-optic cables run by a relatively small number of companies.
That could prove tricky if Slack can't handle the relatively small number of employees Uber has.
Some, and not only among the relatively small number concerning Islam, were no doubt unfair.
The six remaining primaries remain have only a relatively small number of delegates, 217.
The insiders own a relatively small number of shares, but their shares have extraordinary voting rights.
More suggestions(15)
somewhat small number
sufficiently small number
relatively tiny number
extremely small number
pretty small number
quite small number
fairly small number
reasonably small number
very small number
rather small number
comparably small number
considerably small number
relatively small difference
relatively small sample
relatively modest number
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com