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Differential processing of "small" and "large" multidigit numbers.

Mariya Lozin1, Michal Pinhas1

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This study reveals that humans process small and large multidigit numbers differently. Novel compatibility and distance effects show context dependency in large number processing, unlike smaller numbers.

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Area of Science:

  • Cognitive Psychology
  • Numerical Cognition
  • Human Information Processing

Background:

  • Understanding the mental representation of large multidigit numbers is limited.
  • These numbers often exceed personal experience, posing unique cognitive challenges.

Purpose of the Study:

  • To explore the distinct processing mechanisms for small versus large multidigit numbers.
  • To investigate compatibility and distance effects in numerical comparison tasks across various scales.

Main Methods:

  • Employed numerical comparison tasks with varying multidigit numbers (tens to trillions).
  • Conducted three experiments manipulating number scale (small vs. large), digit position (left/right), and block design (separate vs. same block).

Main Results:

  • Identified novel compatibility effects involving left digit, right digit, and scale components.
  • Extended unit-decade compatibility to larger scales and observed global/scale distance effects.
  • Demonstrated context dependency of compatibility and distance effects for large numbers, but not small ones.

Conclusions:

  • Small and large multidigit numbers are processed through different cognitive mechanisms.
  • Proposed a processing model to explain these observed differences in numerical cognition.