Vedic Maths Tricks and Worksheets

Addition is the most basic mathematical operation in which two or more numbers are combined to arrive at a greater number. The word addition also refers to the ‘act of adding’. Addition is one of math's basic operations. Therefore, it is essentially one the most important lessons in understanding the basics of the application of Vedic Maths. This will help you in understanding the foundation of Vedic Maths and, thereby, help you move up higher up in terms of your knowledge and skills of Vedic Maths. We have two sutras/formulae for addition in Vedic Maths. These are - Dhashamshaha (Dropping Tens/Line Addition) and Vilokanam (Spark Addition / Left-Right Addition). The former helps you easily calculate big numbers, as well as multiple numbers by making groups of ten. The latter, Vilokanam, means observation. It is called spark addition because within a spark of time we can find  the sum.  This method helps to find the sum of numbers by just looking at them. One can practise both these methods to speed up their calculation speed.

In mathematics, the act of subtracting means to take away from a group or a number of things. When we subtract, essentially,  the number of things in the group reduces or becomes less. The minuend, subtrahend and difference are parts of a subtraction problem. Therefore, it is essentially one the most important lessons after addition in order to understand the basics of the application of Vedic Maths. Infact, addition and subtraction are two sides of the same coin. They are exactly the opposite to one another. Subtraction will help you enhance your understanding of the foundation of Vedic Maths and, thereby, help you move up higher up in terms of your knowledge and skills of Vedic Maths. Subtraction in Vedic Maths is called “Vyavkalanam”. It is considered to be the easiest method/sutra when compared to any other conventional method. Subtraction has two sutras. The first is called Nikhilam Navatah Charamam Dasatah, or all from 9 last and last from 10. Under this method, we subtract every digit from 9 but the rightmost digit from 10. The second is called Vinculum. Under this method, we use the help of a bar that is placed on top of a digit that helps us to determine its degree.

In mathematics, the term 'multiplication' means the method of calculating the product between two or more numbers. It is a primary arithmetic calculation. It is an extension of the basics of mathematics, as well as Vedic Maths. In Vedic Maths, multiplication is divided into two parts. The first technique is called Specific Technique, and it is only applicable to some types of numbers. The other technique is called Generic/General Technique. It is applicable to all types of numbers. Under specific techniques, we have Doubling Technique. Essentially, doubling means either adding the same numbers together or multiplying the given number by 2. Under multiplication, this technique helps in multiplying any number with the number 2, and numbers such as 5, 50, 500, 5000 and so on. The second specific technique is called Halving Concepts. This helps in finding the half of any number.  Moving ahead, we have techniques such as multiplication of numbers by a series of different numbers. Similarly, there are also techniques that help you in calculation multiplication tables of any two numbers upto 1000.

In mathematics, division is a method of distributing a group of things into equal parts. It helps us to determine the  number of equal shares anything, especially numbers, can have. It is one of the four basic operations of arithmetic. The division is operationally opposite to multiplication. In Division as well, we have two types of techniques. They are - Specific Techniques and General Techniques. The Base Method is a specific technique. The Vedic name for the base method is ‘Nikhilam Method’. Under this method we deal with the divisions that have a divisor that is close to the base. By base, we mean numbers like 10, 100, 1000 and so on. The second method is called the Transpose Method. The Vedic name for the Transpose Method is ‘Parvarthya Method’, that means - above the base. For calculations that are above the base divisions, we have this method. It is, therefore, called the Transpose Method.

When a number or integer (not a fraction) is multiplied by itself, the resultant is called a 'Square Number'. For example, 3 multiplied by 3 is equal to 3 x 3 or 32.  There are two basic methods that help in calculating the square of any two digit numbers. The first deals with the general calculations, while the second deals with calculations of squares of numbers that are close to 50 and 100. This method is derived from Vedic maths and is used to find the square of any number.

Moving ahead, the square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number. Hence, squares and square roots are related concepts. For example, both 3 and –3 are square roots of 9. There are multiple ways to calculate the square root of a perfect square. All of which have been discussed in Lesson 3.

A cube number is a number multiplied by itself 3 times. This can also be called 'a number cubed'. The symbol for cubed is ³.   2³ = 2 × 2 × 2 = 8. The method derived from Vedic maths used to find the cube of any 2 digit number is very easy and quick. 

Moving ahead, cube root of a number can be explained as a number x is a number y such that y³ = x.
 

Algebra is a branch of mathematics which helps in the visual representation of problems or situations in the form of mathematical expressions. The said mathematical expression is made up of variables like x, y, z. To find the value of these variables, one must apply mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.