AUTHOR=Krajcsi Attila , Szabó Eszter TITLE=The Role of Number Notation: Sign-Value Notation Number Processing is Easier than Place-Value JOURNAL=Frontiers in Psychology VOLUME=3 YEAR=2012 URL=https://www.frontiersin.org/journals/psychology/articles/10.3389/fpsyg.2012.00463 DOI=10.3389/fpsyg.2012.00463 ISSN=1664-1078 ABSTRACT=

Number notations can influence the way numbers are handled in computations; however, the role of notation itself in mental processing has not been examined directly. From a mathematical point of view, it is believed that place-value number notation systems, such as the Indo-Arabic numbers, are superior to sign-value systems, such as the Roman numbers. However, sign-value notation might have sufficient efficiency; for example, sign-value notations were common in flourishing cultures, such as in ancient Egypt. Herein we compared artificial sign-value and place-value notations in simple numerical tasks. We found that, contrary to the dominant view, sign-value notation can be applied more easily than place-value notation for multi-power comparison and addition tasks. Our results are consistent with the popularity of sign-value notations that prevailed for centuries. To explain the notation effect, we propose a natural multi-power number representation based on the numerical representation of objects.