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Introduction When a rational number is expressed in its standard form, it signifies that its denominator is a positive integer and that its numerator has no common factors other than 1. Rational numbers are those that can be stated as $\mathrm{\frac{r}{s}}$, where r and s are integers and s is not equal to zero. Therefore, if $\mathrm{\frac{4}{8}}$ is a rational number, its the standard form will be $\mathrm{\frac{1}{2}}$ because we are no longer able to solve $\mathrm{\frac{1}{2}}$. When there is only one common factor between the denominator and the numerator, the result is a rational number. However, as the denominator ... Read More
Introduction The canonical form of rational numbers can be defined, when there is no common element other than 1 between the dividend and the divisor, and therefore the divisor is positive. There is only one factor in common between divisors and dividend. Therefore, it can be said that rational numbers are $\mathrm{\frac{1}{3}}$ in the canonical form. Rational Numbers To determine if a number is a rational number, check the following conditions: This is expressed in the form of $\mathrm{\frac{p}{q}}$, where q ≠ 0. The ratio $\mathrm{\frac{p}{q}}$ has been further simplified and can be expressed in decimal ... Read More
Introduction In your daily life, you may have heard the word "symmetrical" frequently. Any object is considered symmetrical if it can be split in half so that one half becomes the mirror image of the other half. While an object is considered asymmetrical, if neither of its parts is a mirror image of the other. There are symmetrical objects all around us, in nature, architecture, art, etc. We are already aware of the many symmetry types. Nature provides us with several examples of the relationship between reflection and symmetry, including the reflection of mountains and trees in adjacent bodies of ... Read More
Introduction An angle is a degree of rotation between two intersecting lines. Angles can be of various types such as, acute angle, right angle, obtuse angle, and others. One of such angles are reflex angles. Reflex angles are angles which are a reflection of the angle between two lines. Because we cannot measure an angle greater than 180° with the help of a protractor, we can measure the angle with the help of a reflex angle. In this tutorial, we will learn about angle, type of angles, reflex angles, concave polygon, reflex angles in real life, and some solved examples ... Read More
Introduction If a polygon has an equal two-dimensional closed shape formed if all the sides and interior angles of the polygons are equal, they are known as regular polygons. A Square, and an equilateral triangle are some of the examples of regular polygons. A regular hexagon is a closed shape polygon which has six equal sides and six equal angles. In this tutorial we will learn about a regular hexagon, angles of a regular hexagon, exterior angles of a regular hexagon, diagonals and line of symmetries of a regular hexagon, hexagonal tiling, hexagons in real life, and some related solved ... Read More
Introduction Any group's median is the value that falls in the middle. At this stage, half of the data is more, and half is less. The median makes it possible to express a lot of data points with just one. The median is the most straightforward statistical metric to compute. The middle data point reflects the median of the data after the data is organised in ascending order for the purpose of calculating the median. Central Tendencies One of the three measurements of central tendency is the median. The centre position of the data set is noted while discussing a ... Read More
Introduction As the name implies, a line segment is a section of a line with two endpoints. It is one of the fundamental components of practical geometry and makes it easier to construct geometric figures and forms. An element of a straight line connecting two places is referred to as a line segment. The symbol for a line segment having the endpoints A and B is AB. However, how do you draw a line segment? Does the instrument we use to measure a line segment match the one we use to draw it? We will explore the ways of ... Read More
Introduction In daily life, we encounter various activities that have multiple outcomes. Although we cannot predict the exact outcome, we can estimate all possible outcomes of that event or activity. In this tutorial, we will discuss the sample space, some special events, and their possible outcomes with solved examples. Sample Space The sample space, a concept of probability theory, is the collection of all the possible outcomes of a random event or experiment. The sample space is abbreviated by the set notation and is more usually represented by S. Moreover, it can also be represented by U (universal set) or ... Read More
Introduction In calculus, Derivatives are a basic tool in solving problems and differential equations. Derivatives are used as a tool by scientists to analyse dynamic systems to determine the change in variables, and use this to frame differential equations, and use integration to predict the future changes. To put simply, a second-order derivative is the two consequent derivatives of a function, or it is the derivative of the first order derivative of that function. In this tutorial, we will learn about derivatives, order of derivatives, second order derivatives, second order derivatives of parametric functions, and some solved examples. Derivative Derivative ... Read More
Introduction The section formula can be applied to a line segment located in 2D or 3D. The division of a line segment is a method or process in which the line segment is divided into several parts (equal or non-equal). Points are used to divide a line segment. It is an important method used in coordinate geometry to determine the centroid, incenter, and excenter of a triangle. In this tutorial, we will discuss the 3D geometry, section formula, and distance formula with solved examples. 3D Coordinate Geometry The 3D coordinate geometry represents the geometrical figures in 3D space. It requires ... Read More