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Introduction In an organization, a lot of data has to be collected and handled for analysis and representation purposes. In this direction, statistical parameters help us to analyse the data effectively. There are various mean used in statistics for the above purpose. In this tutorial, we will learn the meaning of mean, its types, their relationship, and a brief discussion about other central tendencies with solved examples. Data The data is a collective word that represents the collection or arrangement of quantities or categories values. The purpose of data collection is to analyse the specific event in a ... Read More
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 More
Introduction In mathematics, fractions are used to determine part of a whole number. The word ‘fraction’ is derived from the Latin word ‘fraction’ which means ‘to break’. In Ancient Rome, fractions were used only to describe the part to the whole. But in India fractions were represented by one number above another but without a line. Then Arabs were added a line between two numbers. This line is used to separate the numerator & denominator. Fractions can be represented in the form of decimals & percentages like 0.012 & 12 % represent the fraction $\mathrm{\frac{12}{100}}$. So let's ... Read More
Introduction In a decomposition reaction, molecules or compounds break to give two or more simpler new substances. There are various types of reactions or chemical reactions: combination type, decomposition type, displacement type, double displacement type, combustion reaction, neutralization reaction, precipitation reaction, and redox reaction. In the precipitation or double replacement reaction, an insoluble precipitate(leftover) is formed or settled down the container. This reaction occurs when two or more soluble salts react or combine to give an insoluble precipitate. The neutralization reaction is a type of reaction where acid (𝐻+), and base (𝑂𝐻−) react or combine to give salt and ... Read More
In Java, a multi-dimensional array is nothing but an array of arrays.2D array − A two-dimensional array in Java is represented as an array of one-dimensional arrays of the same type. Mostly, it is used to represent a table of values with rows and columns −Int[][] myArray = {{10, 20, 30}, {11, 21, 31}, {12, 22, 32} }In short, a two-dimensional array contains one-dimensional arrays of elements. It is represented by two indices where the first index denotes the position of the array and the second index represents the position of the element within that particular array − Example ... Read More
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 More
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 More
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 More
Introduction In non-terminating decimals, the numbers after the decimal point tend to be endless. In the non-terminating repeating decimals, a sequence of numbers after the decimal point is recurring in a specific pattern. These types of numbers are called Rational numbers. They are in $\mathrm{\frac{p}{q}}$ where q ≠ 0. In non-terminating decimals we will be discussing irrational numbers which cannot be represented in fractions. Whereas, if the non-terminating decimals have recurring patterns then it is said these decimals can be converted into fractions. In this tutorial, we will learn about non-terminating repeating decimals and how to ... Read More
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 More