Introduction to Constant

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.

Solved Examples

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

FAQs (Frequently Asked Questions)

1. Is Constant a Term?

Ans: A single mathematical expression is referred to as a term. It may be a single number (positive or negative), a single variable (a letter), or a combination of variables multiplied but never inserted or subtracted. Variables with a number in front of them appear in certain terms. A coefficient is a number that appears in front of a term. An example of a constant is '5', where it won't be affected because of variables. The coefficient of a term made up entirely of variables is 1. The expressions in an algebraic equation that contain only numbers are known as constants. That is, they are the terms that do not have any variables. They are called constants because their value does not change. After all, there are no variables in the term that can alter it.

2. What is a Constant Term in Math?

Ans: In mathematics, a constant term is a term in an algebraic expression whose value is fixed or cannot change, because it does not contain any modifiable variables. A constant term, with a constant applied as a multiplicative coefficient, also represents a constant term, as the component is not yet present in the new term. Since the expression is updated, the term (and coefficient) classifies itself as constant. For example, in the quadratic polynomial 2x² + 5, 5 is a constant term.

3. What Does Constant Mean?

Ans: In math and science, a constant is a number that is fixed and known, unlike a variable that changes with the context. The value of a function that remains unchanged (i.e., a constant function). Such a constant is usually expressed by a variable that does not depend on the key variable(s) in question. This is the case, for example, for a constant integration, which is an arbitrary constant function applied to a particular anti-derivative to get all the anti-derivatives of the given function.