记数法中的位值思想

Place Value Thought in Numerations

目前通行的记数方法采用 10进位值制原理。其中的 10进制受自然条件影响而成 ,但位值制却是主观的产物。本文探讨古今中外记数方法中位值思想的形成与发展 ,从借助符号、数码本身排列和算式三个方面分析位值思想的体现方式 ,指出记数工具的使用是早期位值思想产生的主要原因 。

The current numeration uses both decimal and positional system. In which, decimal systems were influenced by natural conditions, but place value, subjective result. This paper discusses the forms and development of place value in ancient and modern, in Chinese and foreign, and points out that the main cause led to place value thought is the use of numeral tools, and the major way spread it is the use of calculating tools.