为什么每个有理数都不是整数？

数字是用于测量或计算数量的数学值或数字。它用数字表示，例如 2、4、7 等。整数、整数、自然数、有理数和无理数等都是数字的实例。数系中有数种数，如素数、奇数、偶数、有理数、整数等。这些数字和文字可以用来传达这些数字和文字。例如，40 和 65 等整数表示为数字，也可以写成 40 和 65。

数字系统，通常称为数字系统，是表示数字和图形的基本框架。它是一种在算术和代数结构中表达数字的独特方法。

为什么每个有理数都不是整数？

回答：

To answer this we have to understand the concept of Whole number and Rational number.

Whole Numbers 

Whole numbers are the subset of numbers comprising zero and all positive integers. The entire number ranges from 0 to infinity. These numbers are required in day-to-day calculations, mostly for measuring fundamental quantities. Whole numbers, including zero, are the only constituents of natural numbers. The subset is represented by the numbers 0, 1, 2, 3, 4, 5, … Fractions, decimals, and negative integers are not included in the subset.

Examples of whole number: Positive integers, often known as counting numbers, are portions of whole numbers that include zero, such as 0,1, 2, 3, 4, 5, and so on, omitting negative integers, fractions, and decimals. Whole numbers include 10, 11, 22, 100, 1000, and so on.

Rational Number 

Rational numbers have the form p/q, where p and q are integers and q ≠ 0. Most people find it difficult to discern between fractions and rational numbers because of the underlying structure of numbers, p/q form. When a rational number is split, the result is a decimal number that might be ending or recurring. 

Examples of rational numbers are 9, 8, 7, and so on, which may be written in fraction form as 9/1, 8/1, and 7/1, respectively.

Every Rational number is not a whole number because A whole number is a component set of zero and all positive numbers such as 0, 1, 2, 3, 10, 15,… include only positive integers. It excludes negative integer, decimal, and fractional values . 

Rational Number includes all the fractions, integers as well as decimal numbers.

Here set of whole number like 3, 4, 5 we can write this number as a fraction of 1 like 3/1, 4/1, 5/1… in ratio of two integers. Therefore every whole number is a rational number but every rational number is not a whole number.

类似问题

问题1：识别整数和有理数？

35, 48.09, 2/9, 16898

回答：

A whole number is a component set of zero and all positive numbers such as 0, 1, 2, 3, 10, 15,… include only positive integers. It excludes negative integer, decimal, and fractional values. 

Rational Number includes all the fractions, integers as well as decimal numbers. Here 35 and 16898 are the two whole numbers and 48.09, 2/9 are rational numbers.

问题 2：2.57 怎么是有理数？

回答：

Here, the given number, 2.57 can be expressed in the form of p/q, and we can write 2.57 as 257/100.

Hence, 2.57 is a rational number.

问题3：-6.82是有理数还是无理数？

回答：

Here, the given number, 6.82 can be expressed in the form of p/q as,

6.82 = 682/100 

= 341/50 and has terminating digits. 

Hence, 6.82 is a rational number.

问题 4：8/4 是有理数还是整数？

回答：

Here, the given number, 8/4 is in the form of p/q.

Therefore 8/4 = 2 

Which is a whole number and has terminating digits. 

Hence, 8/4 is a rational number.

问题5：判断9.5682949是有理数还是无理数。

回答：

Here, the given number 9.5682949 is an irrational number as it has non terminating and non recurring digits. Here, after the decimal points, the numbers present are terminating and are also not repeating in nature.

问题6：判断-7是否为有理数。

回答：

A rational number is a sort of real number that has the form p/q where q≠0. When a rational number is split, the result is a decimal number, which can be either a terminating or a recurring decimal.

Rational numbers are the numbers that can be expressed as the ratio of two integers. It includes all the integers and can be expressed in terms of fractions or decimals. It is denoted by ‘Q’.

Hence, -7 is an integer and it is a rational number.