循环小数化为分数教学中等比数列的应用  

The Application of Proportional Sequence in Teaching Recurrent Decimal to Fractions

作　　者：旷雨阳[1] 王太荣[1] 李兴华[1] KUANG Yuyang;WANG Tairong;LI Xinghua(College of Mathematics and Computer,Anshun University,Anshun 561000,Guizhou,China)

机构地区：[1]安顺学院数计学院,贵州安顺561000

出　　处：《安顺学院学报》2024年第1期111-114,共4页Journal of Anshun University

基　　金：贵州省科技计划项目“基于数字全息的粗糙度高精度实时测量研究”(黔科合LH字〔2017〕7051)。

摘　　要：纯循环小数与混循环小数是初等数论中常讲解的内容,但怎样把此两类小数化为分数却没有讲解,通过利用中学的等比数列把纯循环小数和混循环小数化为分数,并给出了纯循环小数和混循环小数化为分数的计算公式。为中小学数学教师教学中,把循环小数化为分数提供了一个有力的计算公式。Pure recurring decimals and mixed recurring decimals are commonly discussed in elementary number theory,but how to convert these two types of decimals into fractions is not explained.This article uses a high school proportional sequence to convert pure recurring decimals and mixed recurring decimals into fractions,and provides a calculation formula for converting pure recurring decimals and mixed recurring decimals into fractions.This provides a favorable calculation formula for converting recurring decimals into fractions in the teaching of mathematics teachers in primary and secondary schools.

关 键 词：初等数论 等比数列 循环小数 计算公式 

分 类 号：G633.6[文化科学—教育学]