求 3.5 到 4.5 之间的有理数
无论是购买商品、付款、销售,还是交流时,数字一直是我们在金融、社会和专业领域日常生活的重要组成部分。无论我们更喜欢哪种方法或数字系统,它们都是测量、识别、计算等必不可少的数字。
数字用于各种算术运算,如加法、减法、乘法等,适用于日常业务和贸易领域。数字可以用数字和文字来表示。数系是各种数字的组成部分,包括实数、复数、偶数、有理数、整数等。
Numbers are the arithmetic figures used for the purpose of making arithmetic calculations. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.
数制用于测量基本量,确定距离、位移、时间和许多其他物理值。
The Number system is a standardized method for the representation of numbers, which includes categories like, zero, negative numbers, rational numbers, irrational numbers, and complex numbers.
数字类型
有不同类型的数字按数字系统分类。类型描述如下:
- 自然数:自然数是从 1 到无穷大的正计数数或除 0 以外的所有整数。一组自然数的符号是'N'。这是我们通常用来计数的数字。自然数集合可以表示为 N={1,2,3,4,5,6,7,………………}
- 整数:整数是正数或全自然数,包括零,从 0 数到无穷大。整数不包括分数或小数。一组整数的符号用“W”表示。该集合可以表示为 W={0,1,2,3,4,5,………………}
- 整数:整数是一组数字,包括所有正自然数、零以及从负无穷到正无穷的所有负自然数。该集合不包括分数和小数。一组整数的符号是d'Z。整数集合可以表示为 Z={………..,-5.-4,-3,-2,-1,0,1,2,3,4,5,…………}。
- 十进制数:任何分母为 10 或任何 10 的正幂或由小数点组成的两个数字的分数的数值都是十进制数。可以表示为2.5、0.567等。
- 实数 r:实数是不包含任何虚数的集合数。它包括所有正整数、负整数、分数和十进制值。一般用“R”表示。
- 复数:复数是一组包含虚数的数字。它可以表示为 a+bi,其中“a”和“b”是实数。实数的符号是'C'。
- 有理数: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。
- 无理数:无理数是不能用分数或整数比表示的数。它可以写成小数,小数点后有无穷无尽的不重复数字。它用“P”表示。
什么是有理数?
有理数可以定义为分数形式的实数,即 p/q 其中 q 不等于 0。简而言之,我们可以说任何具有非零分母的分数都是有理数。
有理数涉及所有正整数、负整数。即使 0 也是有理数,因为它有一个非零分母。
The mathematical representation of the rational numbers is as p/q
Where,
q is not equal to Zero(0)=>7/2 = 7/2 × 2/2 = 14/4
现在,让我们进入这个问题,
求 3.5 到 4.5 之间的有理数
回答:
The rational numbers between 3.5 and 4.5 will be 36/10, 37/10, 38/10, 39/10, 40/10, 41/10, 42/10, 43/10, and 44/10.
To find out a set of rational numbers between two numbers let’s suppose p and q, we need to express the numbers in the form of a ratio.
Here, the two numbers are 3.5 and 4.5
Proof:
Let’s express the numbers 3.5 and 4.5 as rational numbers or in ratio.
=>3.5 = 35/10
=>4.5 = 45/10
Hence, the rational numbers between 35/10 and 45/10 are 36/10, 37/10, 38/10, 39/10, 40/10, 41/10, 42/10, 43/10, and 44/10.
类似问题
问题 1:3/5 和 4/5 之间的五个有理数是多少?
回答:
The five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, and 23/30.
To find out a set of rational numbers between two numbers suppose A and B we need to express numbers A and B in rational numbers.
Proof:
Let’s multiple both the numbers with 6/6 to make denominators equal.
=>3/5 = 3/5 × 6/6 = 18/30
=>4/5 = 4/5 × 6/6 = 24/30
Hence, the five rational numbers between 3/5 and 4/5 are 19/30, 20/30, 21/30, 22/30, and 23/30.
问题 2:3/4 和 9/10 之间的有理数是多少?
回答:
The rational numbers between 3/4 and 9/10 are 16/20 and 17/20.
To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.
Proof:
Let’s multiply 3/4 by 5/5 and 9/10 by 2/2 to make the denominators equal.
=>3/4 × 5/5 = 15/20
=>9/10 × 2/2 = 18/20
Hence, the rational numbers between 3/4 and 9/10 are 16/20 and 17/20.
问题 3:3/5 和 6/5 之间的五个有理数是多少?
回答:
The five rational numbers between 3/5 and 6/5 are 16/25, 17/25, 18/25, 19/25, and 20/25.
To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.
Proof:
Let’s multiply both the numbers with 5/5
=>3/5 × 5/5 = 15/25
=>6/5 × 5/5 = 30/25
Hence, the five rational numbers between 3/5 and 6/5 are 16/25, 17/25, 18/25, 19/25, and 20/25.
问题 4:2/5 和 3/4 之间的有理数是多少?
回答:
The rational numbers between 2/5 and 3/4 are 9/20, 10/20, 11/20, 12/20, 13/20, and 14/20.
To find out a set of rational numbers two numbers A and B we need to express numbers A and B in rational numbers.
Proof:
Let’s multiply 2/5 by 4/4 and 3/4 by 5/5 to make the denominators equal.
=>2/5 = 2/5 × 4/4 = 8/20
=>3/4 = 3/4 × 5/5 = 15/20
Hence, the rational numbers between 2/5 and 3/4 are 9/20, 10/20, 11/20, 12/20, 13/20, and 14/20.