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Introduction Operations on rational numbers such as basic operations like addition, subtraction, multiplication and division. Rational numbers are fractions containing a numerator and a denominator (the denominator should be a non-zero integer). In algebra, rational numbers are used in various science, mathematics, and economics sectors. Moreover, various operations such as addition, subtraction, division, and multiplication are necessary to obtain a third rational number. All these operations are quite different from the algebraic operations of integers. In this tutorial, we will discuss number systems, rational numbers, comparison between rational numbers, and their various operations with solved examples. Number System A number ... Read More

Introduction Operations of integers such as addition, subtraction, multiplication, and division can be explained in the number line system. In our daily life, we need to perform various algebraic operations with numbers. There are various types of numbers used in mathematics. In specific, the integer is a special type of number widely used. The presentation and several mathematical operations of integers are necessary. In this tutorial, we will learn about the number systems, integers, their presentation on the number line, comparison and operation of the integers on the number line with solved examples. Number System A number is a mathematical ... Read More

Introduction One to one functions that maps every element of the range to one element of its domain. Functions are defined as relationships between a set of inputs, each with an output. Simply put, a function is a relationship between inputs, where each input is associated with one output. Each function has a domain and a codomain or range. Functions are commonly represented by 𝑓 (𝑥), where x is the input. The general representation of a function is $$\mathrm{y\:=\:f(x)}$$ In a mathematical sense, these relationships can be described as one-to-one functions. In this case, the number of elements is the ... Read More

Introduction Odd Numbers and even numbers are one of the many types of classification of numbers. The odd numbers are not even, and the numbers which are even are not odd. Both are inverse to each other. Odd and even numbers are differentiated by whether the number is divisible by 2 or the number is a multiple of 2. An odd number, when divided by two, leaves a remainder of 1. On the other side, an even number, when divided by 2, leaves a remainder of 0. Even numbers are divisible by two and multiples of 2. Example − ... Read More

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 More

Introduction A modulus function can be used to find the magnitude of a number irrespective of its sign. In other words, a modulus function gives the magnitude of a number. A modulus function also determines the distance of a number from the origin. It always gives the non-negative value of the function. It is used in almost all the major scientific measurements. Modulus functions are represented as a=|x|. In this tutorial, we are going to learn about the functions, absolute(modulus) fFunction, graph of absolute function, properties of absolute function, rules of definite integration of absolute function, continuity ... 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 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 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 More

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 More