counting number

noun Mathematics.
whole number ( def 1 ).

1960–65 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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Example sentences
From comparing sets of objects, they develop the concept of counting: matching
  each object in a set with a counting number.
If his idea works, you can pair up every rational number with a counting number.
We recommend that the database include an automated means of counting number of
  filled prescriptions by provider.
Quantification can be made in numerous ways including counting number of
  individual product units or measuring its tonnage.
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