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📜  有理数和无理数有什么区别？

📅  最后修改于: 2022-05-13 01:54:14.943000             🧑  作者: Mango

有理数和无理数有什么区别？

数字系统被描述为表示数字的写作过程。它是通过以一致的方式使用数字或符号来寻址给定集合的数量的数字文档。它给出了每个数字的特殊描述，并解决了数字的数学和对数结构。它还允许我们进行算术运算，例如加法、减法和除法。数字地址的数字称为它的值。

有理数和无理数的区别

在数字系统中，十进制数字是数学中最常用的数字。根据数字显示的特征引入了不同的术语。例如，从 1 开始到无穷大的数字是自然数，从 0 开始到无穷大的数字是整数。可以用p/q形式表示的数，其中q≠0是有理数，不能用p/q表示的数是无理数。让我们了解有理数和无理数之间的区别，

Sl.No 

Rational Numbers 

Irrational Numbers 

1.Those numbers that can be expressed as a ratio of two numbers p and q where p and q are any integer and q is not equal to zero is called rational numbers i.e we can represent it in the (p/q) format.Those numbers that cannot be expressed as a ratio of two numbers p and q where p and q are any integer and q is not equal to zero is called rational numbers i.e we cannot represent it in the (p/q) format. 
2.Rational Numbers are either finite or are recurring in nature.Irrational Numbers are non-terminating as well as non-repeating in nature.
3.Both the numerator and denominator are integers, in which the denominator is not equal to zero.These cannot be written in fractional form. So no concept of numerator and denominator here.
4.These include perfect squares such as 4, 9, 16, 25, 36, 49, and so onThese include surds such as √2, √3, √5, and so on.
5.Example: 3/2 = 1.5, 3.6767 , 6, 9.31, 64, 0.66666, 3.25 etc. Example: √5, √11, π(Pi), etc.

示例问题

问题 1：Pi (π) 是有理数还是无理数，解释为什么？

回答：

问题2：给定的数字中哪些是有理数，哪些是无理数？

  • 6
  • 3/2
  • √7
  • √25

回答：

问题3：完美平方的平方根是一个无理数。这个说法是真的还是假的？

答案：