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Mathematics Articles
Page 14 of 21
Monomial
Introduction A monomial is the product of positive integer powers of variables. it does not include any negative number and fraction exponent. If the monomial is a fraction it has no variable in its denominator. A monomial variable is a character it contains. Coefficients are numbers multiplied by monomial variables. The degree of the monomial is the sum of the exponents of all variables. In this tutorial, we will discuss Monomial and its parts. What is a Monomial? A monomial is a component of a polynomial and is called a "term" when it is part of a ...
Read MoreMode Formula
Introduction The mode indicates the most frequently occurring value or number in the record. You may need to find values that occur more often in your dataset. In such cases, find the mode for the given dataset. A particular record may or may not have a modal value. For data with no-repeat values, there may be no mode at all. A mode is relevant when studying a list of numbers (such as the heights of all the children in a class). It is the numerical quantity that comes most frequently on the list. There can be a ...
Read MoreMean Absolute Deviation
Introduction Various statistical terms and methods represent, analyse, and compare the data in mathematics. A data set contains many numbers or values, which is quite difficult to analyse. In this direction, various mean and deviation terms are used to predict the behaviour of the process. In this tutorial, we will learn about central tendencies, variance, deviation, mean, absolute, and standard deviation with some examples. Central Tendencies Central tendency is an important concept of descriptive statistics. In statistics, central tendencies are defined as a unique value that represents the central value of the probability distribution. It does not state the individual ...
Read MoreOctagon
Introduction A polygon is a geometrical figure with a finite number of sides in two-dimension. The octagon is an eight-sided polygon. An octagon whose all sides are equal is called a regular octagon. An octagon has eight interior angles depending upon the side length the interior angles vary between themselves. There are different types of octagons depending on the side lengths and interior angles. There are a total of twenty diagonals possible in an octagon. Polygons A polygon is a two-dimensional figure made up of connecting a finite number of line segments. These line ...
Read MoreMeasurement of Objects
Introduction Size is always discussed or understood in relation to another object. A relative concept, size. Its own meaning is meaningless. For instance, a dog may seem small to you, but from the perspective of an ant, it is, needless to say, extremely large. In mathematics, scale matters a lot. Realising that mathematics is all around us and that all we do in the classrooms is define and refine it is crucial for understanding patterns and numbers in everyday life. Measurement Definition Measurement is a method that involves comparing an object's characteristics to a reference value to identify its attributes. ...
Read MoreMultiplication Tricks
Introduction Multiplication is a mathematical operation or process of combining the total number of items or values by using repeated addition. It is used in all sections of mathematical problem solutions be it Algebra, Arithmetic, Trigonometry, Coordinate Geometry, Calculus and etc. Multiplicand and Multipliers When we apply multiplication then, the Multiplicand is the number which is being multiplied and the Multiplier is the number which is multiplying the first number. For example: In this multiplication 20 is the Multiplicand and 25 is the Multiplier. Multiplication Tricks A single-digit number can be easily multiplied. But the multiplication of ...
Read MoreMultivariable Calculus
Introduction In engineering, we come across various systems where the process depends on more than one variable. In this case, the optimization and designing of the system need the involvement of multiple variables. In this direction, multivariable calculus plays an important role. It has various applications starting from economics to science. In this tutorial, we will learn about multivariable calculus and its various operations (such as limits, continuity, partial derivatives, and integration) with solved examples. What is meant by Multivariable Calculus Multivariable calculus is an extended topic of calculus that includes multiple variable functions. ...
Read MoreNature of Roots of Quadratic Equation
Introduction The solutions of the quadratic equation ax2+bx+c=0 serve as the quadratic equation's roots. They are the values of the variable x that the equation requires. The x-coordinates of the x-intercepts of a quadratic function are the roots of the function. A quadratic equation can only have a maximum of two roots because its degree is 2. The nature of these roots of the quadratic equation is solely dependent on the value of the determining factor which is called a discriminant of the quadratic equation about which we will be discussing in this tutorial. Quadratic Equation ...
Read MorePlace Value Worksheets
Introduction Place value is the foundation for understanding number systems in mathematics. Place value helps in understanding the base 10 number system. Place value worksheet is an important tool to understand the concept, and helps students develop logical, problem-solving and reasoning skills. Place Value Each digit in a multi-digit number has a specific position in that number, which is defined by the base 10 number system. When a multi-digit number is written in numerical form, the position of a number can vary from unit to infinity. Place Value Chart For a 10-digit number, the following table represents the placement of ...
Read MoreMaxima & Minima Using First Derivative Test
Introduction Usually, various physical entities are expressed in a mathematical equation that includes several variables. A function can represent the nature of variables during the process. A function can be graphically presented between the variable and the desired response. However, most of the time, we need to find the specific points at which the function gives a maximum and a minimum value. In this direction, the derivative test, which is a fundamental concept of calculus, is found to be quite helpful. In this tutorial, we will learn about the derivative, its application in optimization, and the determination of maxima and ...
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