counting number: meaning, definition, pronunciation and examples
C1Formal, Academic
Quick answer
What does “counting number” mean?
Any number used for counting discrete objects, beginning from 1 and proceeding upward without end (1, 2, 3, 4.
Audio
Pronunciation
Definition
Meaning and Definition
Any number used for counting discrete objects, beginning from 1 and proceeding upward without end (1, 2, 3, 4...).
In mathematics, especially in elementary education, the set of positive integers, excluding zero. Often used interchangeably with 'natural numbers' in non-technical contexts, though 'natural numbers' sometimes includes zero depending on definition.
Dialectal Variation
British vs American Usage
Differences
No significant lexical difference. The term is equally used in both educational and mathematical contexts.
Connotations
Neutral and technical in both varieties.
Frequency
Low frequency in general language, but standard in primary/elementary school maths curricula in both regions.
Grammar
How to Use “counting number” in a Sentence
The counting numbers start from one.The set of counting numbers is infinite.We use counting numbers to tally objects.Vocabulary
Collocations
Examples
Examples of “counting number” in a Sentence
verb
British English
- The child was counting numbers aloud up to twenty.
- I spent the afternoon counting numbers in the ledger.
American English
- The kindergarteners are counting numbers by twos.
- He's counting numbers to calm his nerves.
Usage
Meaning in Context
Business
Rarely used. Might appear in very basic training materials for quantitative literacy.
Academic
Used in primary/elementary mathematics education and foundational mathematics texts to define the set N (or N+).
Everyday
Almost exclusively in contexts of teaching young children to count ('Let's use the counting numbers: one, two, three...').
Technical
A precise term in set theory and number theory to denote the set {1, 2, 3, ...}.
Watch out
Common Mistakes When Using “counting number”
- Including zero in the set of counting numbers.
- Confusing it with 'whole numbers' (which often include zero in modern curricula).
- Using the term in advanced mathematical writing where 'positive integers' or 'ℕ' is preferred.
FAQ
Frequently Asked Questions
No, by the standard definition used in most primary education, counting numbers start at 1. Zero is introduced later as the concept of 'nothing' or 'null quantity'.
Typically, 'counting numbers' are {1, 2, 3, ...}. 'Whole numbers' often refer to the set {0, 1, 2, 3, ...}, including zero. However, definitions can vary, so context is key.
No. Counting numbers are discrete and indivisible in the context of counting. Fractions like 1/2 or 3.5 are not counting numbers.
It is most common in early childhood and elementary/primary school mathematics education, as well as in introductory textbooks on number theory or set theory.
Any number used for counting discrete objects, beginning from 1 and proceeding upward without end (1, 2, 3, 4.
Counting number is usually formal, academic in register.
Counting number: in British English it is pronounced /ˈkaʊntɪŋ ˌnʌmbə/, and in American English it is pronounced /ˈkaʊn(t)ɪŋ ˌnʌmbər/. Tap the audio buttons above to hear it.
Phrases
Idioms & Phrases
- “No common idioms.”
Learning
Memory Aids
Mnemonic
Think of 'counting' on your fingers: you start with ONE finger, not zero fingers.
Conceptual Metaphor
NUMBERS ARE OBJECTS TO BE COLLECTED (we 'count them up').
Practice
Quiz
Which of the following is NOT a property of the set of counting numbers?