Mathematics is a funny subject. Each and every concept learnt in various different classes tends to become important for students in higher classes. It is important for students to have a clear understanding of all the basic concepts. As these concepts come in handy in higher classes as well as while taking up competitive examinations. Mathematics concepts have application in various other subjects as well. Advanced, as well as basic mathematics, find applications in physics, chemistry and other subjects as well. Therefore it is important that students learn in detail about all these concepts in depth.
In this article, we will explain to you a few mathematical concepts that are important for the students for all classes:
- BODMAS – The BODMAS stands for – Brackets, Of, Division, Multiplication, Addition and Subtraction. This is the sequence of operations in which manner an algebraic expression needs to be solved. When a problem has just a couple of numbers and only one single operation to be made, no problem will arise. However, when a set of operations is involved with a series of numbers, the precedence of the operation will become a huge confusion. These are the times when the BODMAS come into actions. They give the sequence in which the operations should be made for the given expression to be solved.
- Set and Set Theory – A set can be defined as a collection of objects. The objects in a set are known as elements. Sets are a simple and effective manner of organizing the tangible and intangible objects of the world in terms of a mathematical expression. Once the concept of sets is made clear to the students, they are used to define numbers and operations such as addition, subtraction and many more. The Set and Set theory has numerous levels of application for various levels of classes.
- The Real Number Line: Each and every point on the number line stands for a number. Strange as it may sound, this concept was not completely understood for thousands of years. The real number line is a representation of all the real numbers on a horizontal infinite line. The number line represents all real numbers. Since zero is a real number, there is a point on the line called the origin, that represents zero. Then the points on the line to the left of the origin represent negative numbers while the points on the line to the right of the origin represent positive numbers. All the numbers on the number line, both positive, as well as negative, are always considered to be equally spaced from each other.also, between two real numbers, it is considered that numerous numbers exist between the two points.
- The Imaginary Number – The imaginary numbers are the ones that are not on the number line. An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit i. This imaginary number is defined by its property i2= −1. The square of an imaginary number is considered to be both an imaginary as well as a real number. An imaginary number can be added to a real number to form a complex number of the form a+ib where ‘a’ is a real number and ‘ib’ is the imaginary number.
- Pi (π): The number Pi π is a mathematical constant. Its value does not change. It is defined as the ratio of a circle’s circumference to its diameter. It also has many equivalent definitions. The value of Pi appears in many formulas in all areas of mathematics as well as in physics. The approximate value of Pi is considered to be 3.14159. It is represented by the Greek letter “π”. Pi is an irrational number.
- The XY-graph: the Line graph or the XY Graph also known as Cartesian graph are very effective in visually displaying data. It is used to show the relationship between one factor to another factor. A line graph is set up as a vertical axis (the Y-axis) and a horizontal axis (the X-axis), forming a grid. For a line graph, both factors need to be quantitative in nature.