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循环小数化为分数教学中等比数列的应用

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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.
The Application of Proportional Sequence in Teaching Recurrent Decimal to Fractions
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.

elementary number theoryequal ratio sequencerecurring decimalscalculation formula

旷雨阳、王太荣、李兴华

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安顺学院数计学院,贵州 安顺 561000

初等数论 等比数列 循环小数 计算公式

贵州省科技计划项目

黔科合LH字[2017]7051

2024

安顺学院学报
安顺学院

安顺学院学报

影响因子:0.155
ISSN:1673-9507
年,卷(期):2024.26(1)
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