When we learn the term equation we have to first understand the terms of constant and variable. These terms are used at every step in Algebra. We must be quite familiar with what is the difference between constant and variable. Show
Let us consider a real-life example: The height of a kid and the dress of a kid. Here the height of a kid is variable because it will keep on changing over the period of time but the dress of a kid will remain the same forever so it is a constant. So let us see the definition of constant and variable. Definition of Constant:As the name implies, the constant is a value that remains constant ever. Constant has a fixed value and its value cannot be changed by any variable. Constants are represented by numbers. For example in the algebraic expression 3x + 5y = 7, where 7 is the constant we know its face value is 7 and it cannot be changed. But 3x and 5y are not constants because the variable x and y can change their value. Definition of Variable:A value that keeps on changing is said to be variable. Variables are often represented by an alphabet like a, b, c, or x, y, z. Its value changes from time to time. For example in the Algebraic Expression: 3x + 5y = 7 where x and y are variables that are changed according to the expression. Below is the tabular format of the difference between variable and constant. It will make you more clear what is variable and constant. Difference between Constant and Variables
From the above table now you have a clear picture of what is the difference between constant and variable. Now let us solve some examples which will make it more clear what is variable and constant. Solved ExamplesExample 1 : Find the value of x for the equation x - 4 = 0 Solution : x - 4 = 0 Add 4 to each side. X - 4 + 4 = 4 x = 4 So, the value of x is 4. Example 2 : Find the value of x for the equation 3x = 27 Solution : 3x = 27 Divide each side by 3. 3x/3 = 27/3 x = 9 So, the value of x is 9 Example 3 : Find the value of x for the equation x + 5 = -2 Solution : x + 5 = -2 Subtract 5 from each side. x + 5 - 5 = -2 -5 x = -7 So, the value of x is -7. Example 4 : Find the value of x for equation 4x + 6 = 22. Solution : 4x + 6 = 22 Subtract 6 from each side. 4x + 6 - 6 = 22 - 6 4x = 16 Divide each side by 4. 4x/4 = 16/4 x = 4 So, the value of x is 4 So from these problems, we have got different values for the same alphabet x.the values of x keeps on changing depending upon the equation, So alphabet x is said to be variable. Quiz TimeFind the value of x for the following equation
Points to remember with the Difference between Constants and VariablesConstants and Variables are one the easiest and most fundamental concepts of Mathematics. In fact, Constants and Variables form the mathematical equations and thus should be learned before solving the mathematical equations. Vedantu has explained the difference between Constants and Variables in a very easy-to-understand manner where students can use the concepts to easily differentiate Constants and Variables from one another. Given below are some of the basic and important points regarding Constants and Variables.
How will Vedantu help Me Learn More Fundamental Concepts of Mathematics and Other Subjects?Vedantu is a leader in Online learning and tutorial platforms and has an immense collection of study material, notes, solution manuals, conceptual tips and trips, and many more things which have made sure that it is a great place for students to stop and learn from the best source. Students can easily access the contents on the website, find the relevant topic they want to learn about, and also download the appropriate study material for the same. This will ensure that students will be able to understand the concepts better along with tips which will be really helpful from an examination point of view. The downloadable study material can be accessed in offline mode which will ensure effective learning and this will be very helpful during revision for the exams. Students can find the latest and updated study material on Vedantu which is easy to access and understand. Vedantu wishes all the students to do well in their examinations and make use of its immense knowledge source for their betterment. Mathematics is an important topic, but it doesn’t have any precise definition. It includes geometry, quantity, space and Change. Mathematics uses a pattern to formulate a conclusion or a proposition by checking the truth or false by proof. By calculating, counting, and measurement, Mathematics develops. Computer Programming is also a type of Mathematics only. Constant and Variables are the two important part of mathematics. Without which all the Mathematics would be vague and unclear. Constants vs VariablesThe main difference between constant and variable is that Constants doesn’t change their value, and their value is fixed. Whereas Variables changes their value frequently depending upon the equation. Constants and Variables are used in both Computer Science and Mathematics. Both have slight differences in the two areas. A Constant function is defined by a rule known as a Constant Rule. Variables are of two types i.e. independent variable and dependant variable. Constants have multiple meanings, and it is fixed concerning floating-point value. It is used for two purposes: a fixed number that is well-defined and second as a constant function whose value remains unchanged. Besides being used in mathematics, it is also used in computer programming in which the value of constants should not be altered during the program when it is going through an execution. Variables are something that is a type of quantity that changes and can vary according to an equation. Variables are also used to represent functions, matrices, vectors and numbers. Variables help us to solve a lot of problems with a single equation. In mathematics, the variable is a symbol whose value is undefined. In programming, the variable is a type of container for different types of data. Comparison Table Between Constants and Variables
What are Constants?Constants can be defined as a constant function that gives the same value always. If a constant is written in a single variable, for example, f(x) = 5, it would make a graph with a horizontal straight line parallel to the x-axis. Whenever its value is taken, it will give the same result no matter what. In mathematics, Constants are defined by specific symbols when values occur to like 0(zero), 1(one), π (pi), (square root of 2),φ (golden ratio). In programming, the value of a constant cannot be changed by program, and value remains constant. When constant are put together by an identifier, it is called ‘named’. Constant is very helpful as it can be used both in compilers as well as for programmers. Programmers use it for self-documenting code, and compilers use it for run-time checks and compile time. A constant value can be defined once, but it can be used many times when the program is running. Constants are used in many programming languages such as C, C++, Java etc. Programming paradigms define that how the values of constants should be treated. There are four types of Constants in the C Programming language, i.e., integer constants, Character constants, Real/Floating-point constants, string constants. Integer constants uses digits like -3, -1, 0 etc. Characters Constants define characters in single quotes like ‘a’, ‘8’, ‘25’ etc. Real or Floating-point constants use decimal or an exponent. String Constants also use characters but in double quotations. What are Variables?Variables are used commonly for representing vectors, functions and matrices. It is used to show the arbitrary value of a set. The value of variables keeps changing, unlike constants. The term ‘Variable’ comes from the Latin word variābilis, which means it keeps changing. It was for the first time found in the book written by Brahmagupta in the 7th century named Brāhmasphuṭasiddhānta. It was used to represent the unknown value in algebraic equations. In the 16th century, François Viète gave the idea of representing variables with letters and using it in computer programming as well. Then Rene Descartes uses the methodology to use variables for an unknown in an equation like a, b or c. In maths, it is very common that variables play different roles, like in differential calculus. Concerning the variable, it is also called arguments of functions. Variables are also defined as independent of x ad can be called constants. In programming variables are scalar are used as storage devices to store various types of data. It is paired with a symbolic code that has an unknown or known quantity. The variable of programming is slightly different from the variable of mathematics. Like variables in programming are given very long names, whereas in mathematics, it of one or two characters. There are different types of variables like static, stack-dynamic, implicit heap-dynamic and explicit heap-dynamic. Main Differences Between Constants and Variables
ConclusionBoth Constants and Variables are used as an important factor in mathematics and programming. Both are very integral parts of these two areas and are used in various applications, whether it be physics, Programming language etc. Both Constants and Variables are represented in either Greek or English letters. Variables have a changing magnitude, and their value is unknown. Whereas as the name defines, Constants are constants with unchanging value, but their face value is known. ReferencesSearch for "Ask Any Difference" on Google. Rate this post!(Total: 0 votes,average: 0 votes) |