负小数是有理数吗？

数字是用于测量或计算数量的数学值或数字。它用数字表示为 2、4、7 等。数字的一些例子是整数、整数、自然数、有理数和无理数等。

有理数是可以表示为两个整数之比的数。它包括所有整数，可以用分数或小数表示。它用“Q”表示。

示例： -4、-6、-14、0、1、2、5、-0.4、2.10、-2.12、– 5.55 等。

有理数的形式是 p/q，其中 p 和 q 是整数，q ≠ 0。由于数字的基本结构，p/q 形式，大多数人发现很难区分分数和有理数。

当一个有理数被除法时，输出是十进制形式，可以是结束也可以是重复的。 3、4、5 等是有理数的一些示例，因为它们可以以分数形式表示为 3/1、4/1 和 5/1 或 -0.12 为 (-12/100) 或 (- 2.50 ) 为 (-250/100) 等。

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.

十进制数到有理数的转换

步骤 1：获取重复小数并使其等于 x。

第 2 步：通过从重复数字顶部删除条并列出重复数字至少两次，以十进制形式写入数字。对于示例，写 x = $0.\bar9$因为 x = 0.999…。和$x = 0.\overline{15}$当 x = 0.151515……

第 3 步：确定有条的位数。

第四步：如果重复小数有1位重复，则乘以10，如果有两位重复，则乘以100，三位重复则乘以1000，依此类推。

第五步：用第四步得到的数字减去第二步得到的数字。

第 6 步：将等式两边除以 x 系数。

第 7 步：在最后以最简单的形式写出有理数。

Example: Rewrite the decimal as a rational number. 0.666666666…

Solution: Given: 0.66666..  or$0.\bar{6}$

Let’s assume x = 0.66666… ⇢ (1)

And there are one digits after decimal which are repeating, so we will multiply equation 1 both sides by 10.

So $10x = 6.\bar{6}$                   ⇢ (2)

Now subtract equation (1) from equation (2)

$10x - x = 6.\bar{6} - 0.\bar{6}$

       9x = 6

         x = 6/9    

           = 2/3                

0.666666…  can be expressed 2/3 as rational number

In this way decimal number can be expressed as a rational number 

负小数是有理数吗？

回答：

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’.

Example: -4, -6, -14, 0, 1, 2, 5, -0.4, 2.10, -2.12, -5.55 etc.

Rational numbers are of the form p/q, where p and q are integers and q ≠ 0. Because of the underlying structure of numbers, p/q form, most individuals find it difficult to distinguish between fractions and rational numbers.

When a rational number is divided, the output is in decimal form, which can be either ending or repeating. 3, 4, 5, and so on are some examples of rational numbers as they can be expressed in fraction form as 3/1, 4/1, and 5/1 or -0.12 as (-12/100) or(- 2.50) as (-250/100) etc.

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.

Here, the answer to above question is YES negative decimals numbers are rational numbers as rational number include all the integers both positive as well as negative integer, decimal as well as fraction because decimal can be written as fraction.

类似问题

问题1：确定是否-6.1515…。是一个有理数。

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. Here, the given number, -6.1515…. has recurring digits.

Hence, -6.1515…. is a rational number.

问题2：负0.5是有理数吗？

回答：

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.

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.

Here, the given number -0.5 is a rational number as it can be expressed as fraction -0.5 =-5/10 

问题3：判断-7是有理数还是无理数。

回答：

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.

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.

Here, the given number -7 is a rational number.

问题4：-5.56 是不是有理数？

回答：

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.

Here, the given number -5.56 is a rational number as integers are the part of rational number.

问题 5：-6.56 是不是有理数？

回答：

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.

Here, the given number -6.56 is a rational number as integers are the part of rational number.

问题6：判断-8是有理数还是无理数。

回答：

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.

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.

Here, the given number -8 is a rational number.

问题 7：负 0.7 是有理数吗？

回答：

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.

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.

Here, the given number -0.7 is a rational number as it can be expressed as fraction -0.7 =-7/10