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Orders of Magnitude01:15

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The order of magnitude of a number is the power of 10 that most closely approximates it. Thus, the order of magnitude estimates the scale (or size) of its value. To find the order of magnitude of a number, take the base-10 logarithm of the number and round it to the nearest integer. Then the order of magnitude of the number is simply the resulting power of 10.
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Relating magnitudes: the brain's code for proportions.

Simon N Jacob1, Daniela Vallentin, Andreas Nieder

  • 1Animal Physiology, Institute of Neurobiology, University of Tu¨ bingen, Auf der Morgenstelle 28, 72076 Tübingen, Germany.

Trends in Cognitive Sciences
|March 2, 2012
PubMed
Summary

The brain possesses an innate sense for numerical ratios, similar to how it processes absolute quantities. This suggests automatic, language-independent access to proportions.

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Area of Science:

  • Cognitive Neuroscience
  • Mathematical Cognition

Background:

  • Understanding of absolute quantity representation is extensive.
  • Representation and neural basis of numerical ratios (proportions, fractions) remain less understood.
  • The connection between absolute quantity and ratio processing is unclear.

Purpose of the Study:

  • Investigate the neural mechanisms underlying magnitude ratio representations.
  • Determine if proportion representation is linked to absolute quantity representation.
  • Explore the influence of language on numerical coding.

Main Methods:

  • Employed complementary research methods.
  • Utilized diverse model systems for data acquisition.

Main Results:

  • Identified a neural coding scheme for proportions.
  • This coding scheme closely resembles that of absolute number representations.
  • Evidence suggests proportions are processed independently of language and presentation format.

Conclusions:

  • The brain exhibits a dedicated 'sense for ratios'.
  • This sense allows for automatic processing of proportions.
  • Proportion representation is intrinsically linked to, and possibly shares mechanisms with, absolute quantity processing.