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Page 6 of 8
Negative Numbers: Connection to Daily Life
Introduction Many people find math a difficult subject. You have to ask about the benefits of studying mathematics and the practical application of mathematics. Mathematics is ubiquitous, as is the relationship between the meaning of numbers and everyday life. Mathematics is all about numbers, and numbers can be categorized into different types of numbers, including Integers, real numbers, complex numbers, rational numbers, irrational numbers, and many others. Negative Numbers Neither the negative numbers are greater than nor are equal to zero. They are the numbers along with a minus sign or a hyphen (-). On the number line, negative numbers ...
Read MorePopulation and Sample
Introduction In statistical mathematics population can mean a set of observations or objects. Population, in statistics and quantitative methodology, can be defined as a collection of data satisfying specific conditions. A sample can be defined as a group of observations from a population. The sample size is always less than the size of the population. Non-probability sampling can further be divided into quota sampling, judgement sampling, and purposive sampling. Population and sample are used in market research widely in inferring behaviour of a population. Statistical analysis in financial decisions also implements population and sample. In this tutorial ...
Read MoreRational Numbers to Standard Form
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 MoreRational Function & Rational Number
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 MoreReflection and Symmetry
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 MoreRegular Hexagon
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 MoreMedian of Data
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 MoreSample Space
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 MoreSecond Order Derivative
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 MoreRight Circular Cylinder
Introduction A three-dimensional solid figure is called the right circular cylinder. There is a closed circular surface on both ends of the right circular cylinder, which are parallel to one another. The right cylinder is another name for a right circular cylinder. All of the points on the closed surface are equally spaced from the axis of the right circular cylinder. In everyday life, a right circular cylinder is the most typical 3D figure. The correct round cylinder can be created by stacking many circular pieces of paper. It is known as a right circular cylinder because it has been ...
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