如何以标准形式写出一个整数?
整数被定义为数字系统的子集,由包括 0 在内的所有正整数组成。包括零的正数,从 0 计数到无穷大。这些数字不包括分数或小数。整数用“W”表示。
包括零在内的自然数的唯一组成部分是整数。整数的子集由 {0,1,2,3,4,5,6,7…….} 给出,整数的集合不包括分数、小数和负整数。
计数的集合从 1 开始,另一方面,自然数和零 (0) 形成一个集合,称为整数。计数也被视为一个整数
整数的标准形式
以简单的形式表示大数或小数被称为数字的标准形式。为了以标准形式表示数字,我们使用指数。
小数是分数的一种形式。一些分数给出十进制数,其在千分之一、百分之一或十分之一处具有小数点后的数字。但有时分数会给出一个很大的十进制数。为了表示如此大的数字,我们使用标准形式,也称为科学记数法。
可以以 p/q 形式表示的数,其中 p 和 q 都是整数,称为有理数。
例如,2/10、4/6、8/9 等。
如何以标准形式写一个整数?
有一些步骤可以以标准形式表示数字
第 1 步:写出给定数字中的第一个数字。
第二步:在第一个数字后面加上小数点。
第 3 步:计算给定数字中第一个数字或小数点后的位数,并将其写为 10 的幂。
For Example
42300000000 is the number. Thus the standard form of a number is obtained as follows:
Step 1: The first number is 4
Step 2: Adding the decimal point after 4, it becomes “4.”
Step 3: The number of digits after 4 is 10.
Hence, the standard form of 42300000000 is 4.23 × 1010.
Example 2: Write 2550 in standard form
Solution:
Step 1: The first number is 2
Step 2: Adding the decimal point after 2, it becomes “2.”
Step 3: The number of digits after 2 is 3.
Hence, the standard form of 2550 is 2.55 × 103.
示例问题
问题1:标准形式的17个整数怎么写?
解决方案:
Here Given whole number is 17
To write the whole number 17 in standard form= ?
By Multiplying and dividing 17 by 10, we get
= (17/10) × 10
= 1.7× 101 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 17 = 1.7× 10
问题2:1250个整数的标准格式怎么写?
解决方案:
Here Given whole number is 1250
To write the whole number 1250 in standard form= ?
By Multiplying and dividing 1250 by 1000, we get
= (1250/1000) × 1000
= 1.250 × 103 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 1250 = 1.250 × 103
问题3:225个整数的标准格式怎么写?
解决方案:
Here Given whole number is 225
To write the whole number 225 in standard form= ?
By Multiplying and dividing 225 by 100, we get
= (225/100) × 100
= 2.25 × 102 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 225 = 2.25 × 102.
问题4:标准形式的22个整数怎么写?
解决方案:
Here Given whole number is 22
To write the whole number 22 in standard form= ?
By Multiplying and dividing 22 by 10, we get
= (22/10) × 10
= 2.2× 101 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 22 = 2.2× 10
问题5:标准格式的12个整数怎么写?
解决方案:
Here Given whole number is 12
To write the whole number 12 in standard form= ?
By Multiplying and dividing 12 by 10, we get
= (12/10) × 10
= 1.2× 101 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 12 = 1.2× 10
问题6:标准形式的400个整数怎么写?
解决方案:
Here Given whole number is 400
To write the whole number 400 in standard form= ?
By Multiplying and dividing 400 by 100, we get
= (400/100) × 100
= 4× 102 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 400 = 4 × 102
问题7:175个整数的标准格式怎么写?
解决方案:
Here Given whole number is 175
To write the whole number 175 in standard form= ?
By Multiplying and dividing 175 by 100, we get
= (175/100) × 100
= 1.75 × 102 {Here only one number will be held before decimal point that is 1}
Therefore the standard form of the number 175 = 1.75 × 102