# What is Value in Math? - Definition & Explanation

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• 0:01 Definition of Value
• 0:54 Mean Value
• 1:23 Value of a Function at…
• 1:54 Value As Worth
• 2:57 Lesson Summary
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Lesson Transcript
Instructor: Karin Gonzalez

Karin has taught middle and high school Health and has a master's degree in social work.

In this lesson, you will learn what value is in math. We will look at common instances of the use of value in math, as well as examples so you will gain a better understanding of this concept. At the end, you can test your knowledge with a quiz.

## Definition of Value

In math class, your teacher may ask questions like 'What is the value of 5 x 6?' or 'What is the value of x + y if x = 6 and y = 3?' In math, value is a number signifying the result of a calculation or function. So, in the example above, you could tell your teacher that the value of 5 x 6 is 30 or the value of x + y if x = 6 and y = 3 is 9.

Value can also refer to a variable or constant. What is a variable in math? A variable is a letter used to signify an unknown number. Common variables are x or y. What is a constant in math? A constant is a fixed or well-defined number.

The term value can also be used in different ways in math. Let's take a look at mean value, the value of a function at a certain point, and value as worth.

## Mean Value

One of the common uses of the term value is as mean value. Mean value is the average of a set of numbers divided by the number of numbers in the set. For example, we have this set of numbers {4, 5, 6, 5}. To find the mean, we do the following:

4 + 5 + 6 + 7 = 20

We then need to divide by the number of numbers in the set, which is 4, so we have:

20 / 4 = 5

The mean of the above set of numbers would be 5.

## Value of a Function at a Certain Point

Another common instance of the term value is when we are referring to the value of a function at a certain point. For example, we are given this function and x value:

f(x) = 6x + 7

x = 4

We are asked to find the value of the function with x being 4, so we plug in our x value and get the value of the function as 31:

f(x) = (6 x 4) + 7

f(x) = 24 + 7

f(x) = 31

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