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Constant: Definition and Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">ConstantConstant: Definition and ExamplesTable of ContentsUnderstanding Constants in Mathematics Definition of Constants

A constant in mathematics is a fixed value that does not change throughout a calculation. Constants can be represented as numbers, decimals, fractions, or symbols. Examples of constants include numbers like 222 or 1.51.51.5, square roots like 2\sqrt{2}2​, or fractions like 34\frac{3}{4}43​. In algebraic expressions, constants are standalone numbers that are not attached to variables. For example, in the equation 5x+4y=125x + 4y = 125x+4y=12, the number 121212 is the constant term.

Constants come in several forms. Constant numbers include all real numbers, natural numbers, whole numbers, and integers - these have fixed values that cannot change. Arbitrary constants are symbols that represent fixed but unknown values in equations, like mmm and ccc in the equation y=mx+cy = mx + cy=mx+c. Mathematical constants are special fixed numbers with specific values, such as π\piπ (approximately 3.141593.141593.14159), e (approximately 2.718282.718282.71828), or the golden ratio (approximately 1.618031.618031.61803).

Examples of Constants Example 1: Finding the Constant in an Algebraic Expression Problem:

Find the constant in the algebraic expression 3x2y−4xy+5y+103x^2y - 4xy + 5y + 103x2y−4xy+5y+10.

Step-by-step solution: Step 1, Look at each term in the expression: 3x2y3x^2y3x2y, −4xy-4xy−4xy, 5y5y5y, and 101010. Step 2, Check which term doesn't have any variables. The first three terms all contain variables (xxx and/or yyy). Step 3, The term 101010 stands alone without any variables, so it is the constant term. Step 4, The constant in this expression is 101010. Example 2: Understanding Why 15 is a Constant Problem:

Why is 151515 a constant?

Step-by-step solution: Step 1, Remember that a constant is a fixed value that does not change. Step 2, The number 151515 is an integer, which means it has a specific, fixed value. Step 3, Since 151515 always equals 151515 and cannot take on any other value, it is a constant. Example 3: Identifying the Constant in an Equation Problem:

In the equation 3x−5=y3x - 5 = y3x−5=y, which is the constant?

Step-by-step solution: Step 1, Look at all terms in the equation: 3x3x3x, −5-5−5, and yyy. Step 2, Check which terms are variables. In this equation, both xxx and yyy are variables. Step 3, The term −5-5−5 is not a variable but a fixed value. Step 4, Since −5-5−5 is a fixed value that does not change, it is the constant in this equation. Comments(3)AAstrologerWillNovember 5, 2025This glossary def of constant is great! It's helped my students grasp the concept easily. Thanks for the clear examples!

EEnglishTutorFaithNovember 4, 2025This glossary def of constant is great! I've used it to explain to my students, and it made the concept so much clearer.

NNatureLover89September 17, 2025I’ve used the Constant definition page to help my kids with their algebra homework, and it really clicked for them! The examples made it super easy to understand. Great resource!

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