Why do we put a comma after three digits when using big numbers?

  • Context: High School 
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Discussion Overview

The discussion revolves around the use of commas to group digits in large numbers, specifically why groups of three are commonly used instead of other group sizes like four or five. Participants explore the implications of this grouping in terms of readability, cultural practices, and cognitive recognition of numbers.

Discussion Character

  • Exploratory
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • Some participants suggest that grouping by three makes numbers easier to read and is a convention that has been adopted, while others speculate it may be arbitrary or culturally influenced.
  • One participant mentions that humans have an innate ability to recognize small groups of objects, typically up to four, which may influence the preference for grouping by three.
  • Another viewpoint is that the traditional Chinese numbering system uses groups of four, indicating cultural variations in digit grouping.
  • Some participants propose that the familiarity of the base 10 system and the structure of large number names (million, billion, etc.) contribute to the preference for grouping by three.
  • A poll is suggested to compare readability of different grouping systems, highlighting that familiarity with a particular system may bias perceptions of readability.
  • There are mentions of scientific notation and the practicality of using abbreviated forms for very large numbers, which may not require full-length representations.
  • Several participants note that the use of three is prevalent in various contexts, including marketing and military acronyms, suggesting a broader cultural tendency towards triadic structures.

Areas of Agreement / Disagreement

Participants express a range of views on the reasons for grouping digits in threes, with no clear consensus on whether this practice is inherently better or simply a matter of convention. The discussion includes competing perspectives on cognitive recognition and cultural practices.

Contextual Notes

Some claims about cognitive recognition of numbers and cultural practices are based on assumptions that may not be universally applicable. The discussion does not resolve the question of why specific group sizes are preferred.

  • #31
Office_Shredder said:
It doesn't matter. Whichever came first obviously influenced the other one. They probably evolved at the same time.

Not necessarily. People could have just been writing 1 million as 1000000 and then someone could have come up with the good idea later to put commas in. That guy could have chosen to put a comma in after every 4 digits, but didn't because it didn't look right.
 

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