25,747 是什么类型的数字?
表示和处理数字的方法被理解为记数系统或数字系统。数字系统可以是表示数字的书写系统。它是使用数字或其他符号表示给定集合的数字的符号。它允许我们进行算术运算,如除法、乘法、加法、减法。一些重要的数字系统是十进制数字系统、二进制数字系统、八进制数字系统和十六进制数字系统。
整数
整数是没有分数、小数的数字,是从 0 到无穷大的正整数的集合。所有整数都存在于数轴中。所有整数都是实数,但我们不会说每个重要的数字都是整数。整数不能为负数。整数用符号“W”表示。示例为:0、23、34、45、67、867、345、56754 等。
整数的性质
整数的性质有助于更好地确定数字。此外,它们在某些操作下创建计算,例如非常简单的加法、减法、乘法和除法。整数的不同种类的性质如下,
加法和乘法的闭包属性
从实例可以得出结论,只要将任意两个整数相加或相减,就可以得到一个整数。整数在加法和乘法下是封闭的。
15 + 6 = 21、9 + 88 = 97、25 + 0 = 25。
Note Division by zero is not defined.
加法和乘法的交换性质
可以按任何顺序添加整数。加法对于整数是可交换的。这个性质被理解为加法的交换性。
6 + 12 = 12 + 6
18 = 18
两个整数可以任意顺序相乘。因此,乘法对于整数是可交换的。将 9 和 7 多次相乘,得到等价的答案。
9 × 7 = 63
7 × 9 = 63
∴ 9 × 7 = 7 × 9
Note Subtraction is not commutative (6 – 5 ≠ 5 – 6), Division is not commutative (4 ÷ 2 ≠ 2 ÷ 4).
加法和乘法的结合性质
观察以下示例以了解加法和乘法的结合性质,
- (5 + 7) + 3 = 12 + 3 = 15
- 5 + (7 + 3) = 5 + 10 = 15
在第 1 次中,先将 5 和 7 相加,然后在和上加 3;在第 2 次中,先将 7 和 3 相加,然后在和上加 5。两种情况下的结果都是一样的。
加法:
This property usually does the addition in a straightforward and fast way. Observe the example, 234 + 197 + 203. In the example, if 197 and 203 first are first added, then it’ll be easier as the unit (ones) digit has become zero.
234 + (197 + 203)
= 234 + 400
= 634
对于乘法:
Multiplication is true for associative property. Observe the example, 8 × 125 × 1294. Here, if multiply 125 and 1294 are multiplied, then it’ll be hard and time-consuming. So multiply 8 and 125 then with 1294.
(8 × 125) × 1294
= 1000 × 1294
= 1,294,000 This arrangement of numbers is understood as associative property.
乘除加法的分配性质
让我们看一些乘法比加法的分配属性示例,这些示例以一种或另一种方式利用了分配属性,
- 35 × (98 + 2) = 35 × 100 = 3500
- 65 × (48 + 2) = 65 × 50 = 3250
- 297 × 17 + 297 × 3 = 297 × (17 + 3) = 297 × 20 = 5940
使计算更简单的分配属性示例,854 × 102。为了使这个乘法更简单,将 102 写为 100 + 2,然后使用分配属性。
854 × (100 + 2)
= 854 × 100 + 854 × 2 ⇢(分配性质)
= 85,400 + 1,708
= 87,108
加法和乘法的标识属性
整数的集合与自然数的集合不同,因为只存在零。此外,这个数字零还有一个特殊的作用。当零添加到任何整数时,再次是相同的整数。零被命名为整数加法的标识或整数的加法标识。零在乘法中也有特殊作用。任何数字乘以零都变成零。
- 56 × 0 = 0
- 0 × 346 = 0
找到了整数的加法同一性,当向其添加零时,多样性保持不变。整数乘法恒等式的类似情况。一旦我们乘以 1,数字将保持不变。因此,1 被命名为整数乘法的恒等式或整数的乘法恒等式。
25,747 是什么类型的数字?
回答:
Whole numbers are positive numbers from 0 to infinity. Hence, 25747 is a big number therefore it is a whole number, a natural number, an integer, and a rational number but it is not an irrational number. The number is defined as a whole number since whole numbers start from 0 and go up to infinity and since 25,747 comes between this, it is considered as a whole number. The number is defined as a natural number since natural numbers start from 1 and go up to infinity and since 25,747 comes between this, it is considered as a natural number. Integers are the numbers that go from -∞ to +∞, and no doubt, 25,747 lies in between, hence, it is an integer as well. A rational number is the one that is terminating or repeating, since 25,747 is terminating in nature, it is rational too.
示例问题
问题一:55345是什么类型的数字?
回答:
Whole numbers are positive numbers from 0 to infinity. Hence, 55,345 is a big number therefore it is a whole number, an integer and rational number but it is not an irrational number.
问题2:3,45,433是什么类型的数字?
回答:
Whole numbers are positive numbers from 0 to infinity. Hence, 3,45,433 is a big number therefore it is a whole number, an integer and rational number but it is not an irrational number.
问题3:1345是什么类型的数字?
回答:
Whole numbers are positive numbers from 0 to infinity. Hence, 1,345 is a big number therefore it is a whole number, an integer and rational number but it is not an irrational number.