什么整数不是计数数？

数字系统是一种使用符号和规则的集合在数字线上表示数字的系统。这些从 0 到 9 的符号称为数字。数字系统用于完成数学计算，从复杂的科学计算到简单的礼物计数或盒子里剩下的书的数量。存在多种类型的数字系统，每种系统的数字都有不同的基值。

自然数

数字在我们周围随处可见，用于计数物品、表示或交易金钱、计算温度、告诉时间等等。这些数字被称为“自然数”，因为它们用于计数项目。数物品时，可以说是 5 个玻璃杯、6 本书、1 个瓶子，等等。自然数有时被称为普通数，特别是在小学教育中，以直观地排除负整数和零。

整数

整数集与自然数集相同，只是它包含一个 0 作为额外数字。在数学中，整数的集合表示为0、1、2、3……从上面的定义可以看出，任何自然数都是整数。此外，除 0 以外的所有整数都是自然数。

什么整数不是计数数？

回答：

There is only a number that is a whole number but not a counting number. That number is 0.  It’s important to note that 0 (Zero) isn’t a Natural Number. The set of whole numbers is {0, 1, 2, 3, … ∞} and the set of natural numbers or counting numbers is {1, 2, 3, … ∞}. Therefore, it is clear that 0 is not a counting number but is a whole number. Every counting starts with the number 1 and not 0 and hence, 0 shall not be included in the counting numbers.

示例问题

问题一：自然数的别称是什么？

回答：

They are the numbers from 1, 2, 3, 4, 5, … they are referred to as natural numbers because they may be seen in nature and are hence naturally occurring. Also, Natural numbers are sometimes referred to as counting numbers to intuitively exclude negative integers and zero. They are known as counting numbers because counting starts from 1 and so are the natural numbers. 

问题2：自然数和整数有什么区别？

回答：

Natural numbers, such as 1, 2, 3, 4, and so on, are all positive numbers. They’re the numbers you’re used to counting, and they go on indefinitely. The entire numbers, on the other hand, are all natural numbers, including zero, such as 0, 1, 2, 3, 4, and so on. All whole numbers and their negative counterparts are considered integers. -4, -3, -2, -1, 0,1, 2, 3, 4, and so on are some examples.

Natural Numbers = {1, 2, 3, 4, 5, 6, 7, 8, 9,…}

Whole Numbers = {0, 1, 2, 3, 4, 5, 7, 8, 9,…}

问题 3：给出自然数的例子。

回答：

Natural Numbers include the numbers 1, 2, 3, 4, 5, and so on. Counting is done using these numbers.

问题4：用例子简要说明整数。

回答：

If 0 (Zero) is included in the set of Natural Numbers, the result is a set of Whole Numbers. It indicates that the numbers 0, 1, 2, 3, 4, 5, and so on are all whole numbers.

问题5：什么是偶数？

回答：

Even Numbers are Natural Numbers that are divisible by two. 2, 4, 6, 8, 10, and so on.

问题6：什么是奇数？

回答：

Odd Numbers are natural numbers that are not divisible by two. For instance, 1, 3, 5, 7, and so on.

问题7：什么是素数？

回答：

Prime numbers are natural numbers that are not divided by any other integer except 1 and self. 2, 3, 5, 7, 11, and so on.

问题8：什么是合数？

回答：

Composite numbers are natural numbers that are also divisible by any other integer besides 1 and self. 4, 6, 8, 9, 10, 12, and so on.

问题 9：什么是整数？

回答：

Integers are a collection of whole numbers and natural numbers that encompass negative, positive, and zero values. -2, -1, 0, 1, 2, 3 and so on.