In Mathematics, Algebra is a branch that deals with symbols, constant, variables, numbers and the rules for manipulating them. The mathematical relationship is used to find the unknown value by creating expressions and equations. A mathematical constant is a key number whose value is determined by a symbol, or by the names of mathematicians, to make it easier to use across various mathematical problems. Constants exist in many fields of mathematics, with constants such as e and Π appearing in such varied ways as geometry, number theory, and calculus.
In this article, we will discuss the constant, constant value and what is a constant term in Maths along with a constant example.
What is Constant?
In mathematics, a constant is a specific number or a symbol that is assigned a fixed value. In other words, a constant is a value or number that never changes in expression. Its value is constantly the same. Examples of constant are 2, 5, 0, -3, -7, 2/7, 7/9 etc.
A few more constant example are :
The number of days in a week represents a constant.
In the expression 5x + 10, the constant term is 10.
In 2a, 2 is a constant
In -7mn, -7 is a constant
In 3x, 3 is constant
Constant value is a fixed value. In Algebra, a constant is a number, or sometimes it is denoted by a letter such as a, b or c for a fixed number. For example x+2=10, here 2 and 10 are constants.
What is the Constant Term?
A constant term in mathematics is a term in an algebraic equation whose meaning is constant or cannot change because it has no modifiable variables. For example, in the quadratic polynomial x² + 2x + 3 = 0, the term 3 is a constant. Let’s understand this with an algebraic expression.
Consider the algebraic expression, 2x-5=10, in equation 5 and 10 are constant term.
What is the Constant Number?
A constant number in math is a value that doesn't change. Instead, it's a fixed value. All numbers are considered constant number. Why is that? Let’s understand this with an example. If you see the below problem,
5+ 5 = ?
Here we need to add 5 and 5 together. Here, 5 will always stand for the number 5 and not some other number. Hence the value is always fixed.
Therefore 5+5=10. 10 is also a constant number.
As we have discussed constant, examples of constant numbers and few solved problems based on constant terms. We can conclude that a constant is a specific number and its value is always fixed.
1. Is 5 a Constant Number?
Ans: As we know the constant number has a fixed numerical value. Here, 5 is a fixed value hence it is a constant number.
2. What is the Constant Term in the Expression 3x+5=15?
Ans: The constant has a fixed value. So, in the above expression, 5 and 15 are fixed value. Hence, 5 and 15 are the constant terms of the expression 3x+5=15