有人可以给我解释一下RATIONAL 和IRRATIONAL NUMBER的区别吗rational number and irrational number

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有人可以给我解释一下RATIONAL 和IRRATIONAL NUMBER的区别吗rational number and irrational number
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有人可以给我解释一下RATIONAL 和IRRATIONAL NUMBER的区别吗rational number and irrational number
有人可以给我解释一下RATIONAL 和IRRATIONAL NUMBER的区别吗
rational number and irrational number

有人可以给我解释一下RATIONAL 和IRRATIONAL NUMBER的区别吗rational number and irrational number
有理数和无理数
有理数(rational number):能精确地表示为两个整数之比的数.
如3,-98.11,5.72727272……,7/22都是有理数.
整数和通常所说的分数都是有理数.有理数还可以划分为正有理数,0和负有理数.
无理数指无限不循环小数 如:π
有理数和无理数的区别
只要有循环节便都可化为分数,自然便是有理数.
我曾经推理过把推理过把循环小数化为分数的方法,且看这个规律:
0.1111...=1/9
0.121212...=12/99=4/33
0.123123123...=123/999=41/333
0.142857142857142857...=142857/999999=1/7
所以如果循环节是从第一位小数开始的,如循环节x有n位,则此数=x/(10^n-1)
如果不是,也可以化为分数:
1.05555...=1+5/90=19/18
0.32010101...=32/100+1/9900=3169/9900
0.999...=9/9=1
所以即使循环节有百亿兆位也是可以化为分数的,也是有理数;而无理数不论顺到多少位也找不出循环节来.

Rational numbers are those can be expressed as a/b, where a and b are integers. Examples are: all integers, fractions, terminating decimals, or repeating non-terminating decimals (eg. 0.333333...= 1/3...

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Rational numbers are those can be expressed as a/b, where a and b are integers. Examples are: all integers, fractions, terminating decimals, or repeating non-terminating decimals (eg. 0.333333...= 1/3) But irrational numbers are those cannot be expressed as a/b, such as square root 2, which are non-terminating and non-repeating decimals.

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有理数、无理数