变量是否被视为术语?
代数是数学的升级学科,是研究数值和符号的操作。执行这些操作或操作以确定表达式中由符号或字母表示的未知值。代数方程与变量、常数、因子和变量系数等项相关联。
代数表达式
这些是由许多项组合而成的数学表达式,这些项由常数、变量(未知值)和变量系数以及诸如求和、减法、乘法和除法等数学运算组成。
代数表达式的类型
基于方程中存在的许多项。代数表达式分为三种类型。
- 单项式表达式:由单个项以及附加的数学运算组成的表达式是单项式表达式。例如,+1、2xy 等是具有单个项的单项式表达式。
- 二项式表达式:由两个与数学运算绑定的项组成的表达式是二项式表达式。例如,2x + 1、2x + 5y 等是具有两项的二项式表达式。
- 多项式表达式:由多项式以及附加的数学运算组成的表达式是多项式表达式。例如,2x + 3xy + 1、xy + yz + xz 等是具有多个项的多项式表达式。
学期
术语是形成代数表达式的数学短语。项既可以是变量,也可以是附有数学运算的常数,也可以是变量的乘积或数与变量的乘积。代数表达式由一个或一组与基本数学运算结合的项组成。
在这里,乘以形成术语的数字或变量称为因子。例如,如果一个项是 2xy,那么它的因子将是 5、x 和 y。
术语的组成部分
项由常数、变量和变量系数的组合组成。这些组件如下所述。
- 常量:常量是不能更改的固定值。常量表示表达式中的已知值。代数表达式中的每个常数都附有一个基本运算。
- 变量:变量是表达式中由字母表示的未知值,如 a、b、x、y 等。进行计算以确定方程的这些未知值。
- 系数:系数是与变量一起写入的整数或固定数值。系数乘以变量。如果一个变量没有任何整数,它的系数将为 1。
变量是否被视为术语?
回答:
In mathematics, variables are the alphabetic representation of unknown values or quantities. These unknown values are determined with the help of various mathematical operations.
These unknown quantities are not fixed values, unlike constants and coefficients. They are generally represented by alphabets like a, b, x or y, etc. The variables are divided into two types that are the dependent and independent variables.
“A variable separately if presentin an algebraic expression can be called as a term of that expression. If the variable is attached with some coefficient or an exponent is present on the variable, they all together will be called as a term.”
Types of variables
- Dependent variable: Dependent variables are the variables whose value is reliant on the other variable present in the same equation. The value of the dependent variable changes as per the estimation of the other variable is changed.
For example: let us consider an equation, y = 2x + 3. In this equation the value of variable ‘y’ is reliant on the value of ‘x’. The value of y will change as per the estimated value of x.
- Independent variable: Independent variables are the variables that are independent of other variables of the equation. Both the variables of these kinds of equations will be directly linked to each other.
For example: let us consider an equation, a = b2, in this equation a is the dependent variable and b is the independent variable. Every value of b is independent of a.
示例问题
问题1:什么是绑定变量?
回答:
A bound variable is a variable that is bounded to a specific value or set of values called domains.
问题2:什么是控制变量?
回答:
A variable that is kept the same during a scientific experiment is the control variable.
问题3:什么是随机变量?
回答:
A random variable is a variable that can be derived in different values, each with an associated probability.
问题 4:xy 项中有哪些因数。
回答:
The factors of term xy are 1, x and y.
问题 5:表达式 2x + 5y 中的系数是多少?
回答:
In the expression 2x + 5y, 2 and 5 are the coefficients of variable x and y respectively.
问题 6:表达式 3x + 4 中的常数是什么?
回答:
In the expression 3x + 4, 4 is the constant.