Swipe Up
orchidadmin |
Teacher's Corner |
2023-09-05 |
null mins read
Many times, you will find yourself in a situation where you need to or rather you want to quickly multiply or divide complicated numbers. And given the traditional methods of learning mathematics, you may not be able to do so. Moreover, with the growing dependence on calculators is slowly crippling you.
This article explains the importance of a very interesting and powerful study that’s of ancient Indian origin. It teaches you important techniques on how you can carry out complicated calculations with ease and without the use of any devices. This study, known as Vedic Maths, and it gets its techniques from the sixteen sutras or word formulae found in the Indian Vedas. Vedic maths is a collection of techniques or sutras that help make mathematical problem solving faster and easier, without the use of any calculators, computers, or devices. It comprises 16 sutras or word formulae and 13 sub-sutras or sub formulae that can help solve problems related to arithmetic, algebra, geometry, calculus, conics, etc. Vedic maths gets its name because of its Vedic origin. Veda in Sanskrit means ‘knowledge’. The benefits of Vedic maths are manifold, and this article will also highlight them for later on.
Let’s first understand a little more about Vedic maths. Here are 5 rules of Vedic maths with examples or five important sutras that contribute to the simplicity and greatness of Vedic maths, along with examples:
With an example, you can understand the process of using this sutra as below:
Multiplying numbers 52 X 48.
I. Working base concept – here you can see that the two numbers are close to the base 50. The working base you take is 50 or 5X10, rather than 100 or 10.
II. Applying the Nikhalam sutra,
52 – 50 = 2 (A)
48 – 50 = -2 (B)
III. Multiplying the excesses gives you
2 X -2 = -4 (C)
Here your working base has two digits, hence the number you will use is 04.
IV. Cross addition of any number with the excess of the other gives you
52 – 2 = 50 or 48 + 2 = 50 (D)
V. In this sutra, however, before you put the two answers together, first you have to multiply the cross-addition answer in the previous step with 5. This gives you
50 X 5 = 250 (E)
VI. Putting together (E) and (C), we get
250 & -4 = 2500 – 4 = 2496.
You can use this method for any 3-digit, 4-digit, or even higher digit number. You will understand better using an example as given below.
To multiple 145 X 373,
I. Vertically multiply the first digit of both numbers.
1 X 3 = 3
II. Cross multiply the first two digits of the two numbers and add.
1 X 7 = 7
4 X 3 = 12
7 + 12 = 19
III. Cross multiply all three 3 digits of both the numbers and add.
(1X3) & (1X7) + (3X4) & (1X3) + (4X7) + (5X3) & (4X3) + (5X7) & (5X3)
IV. Vertically multiply the last digit of each number
5 X 3 = 15
V. For every step, except the first, the final number needs to have only one digit. If this is not the case, then we carry forward the initial digit to the previous compartment.
3 19 46 47 15
This leaves you with the final answer: 54085
2 X 9 = | 1 | 8 |
3 X 9 = | 2 | 7 |
4 X 9 = | 3 | 6 |
5 X 9 = | 4 | 5 |
The first digit of the sum is one less than the multiplicand, while the second digit of the product is the complement of the multiplicand with 9.
II. Multiplier’s digits are less than the multiplicand.
11 X 9 = | 9 | 9 |
12 X 9 = | 10 | 8 |
13 X 9 = | 11 | 7 |
Here, if the multiplicand starts with 1, then we subtract two from it, to arrive at the first part of the product, and if it starts with 2, then we subtract 3 from it, and so on.
The second part, as can be seen in case ‘I’, will be the complement of the last digit of the multiplicand.
III. The multiplier has more digits than multiplicand.
1 X 99 = | 0 | 9 | 9 |
2 X 99 = | 1 | 9 | 8 |
13 X 9 = | 2 | 9 | 7 |
The first column of the product is the number you arrive at when you subtract 1 from the multiplicand. The second column is 9, always. The third column is 10’s complement of the multiplicand.
34 X 36 = | ? | 24 |
III. Apply the Ekadhikena Purvena sutra for the other digits by adding 1 to the remaining digits.
3 X 4 = 12, 3 X 6 = 18, adding 1 we get 112 & 118.
Apply Ekadhikena Purvena sutra on 11, to multiply 11 X 12 and arrive at the answer.
34 X 36 = | 12 | 24 |
The lists above only give a brief idea about the various scenarios where Vedic maths can help make calculations easier and faster. There’s a lot more of an in-depth study that you have to put into the sutras and sub-sutras to really ace Vedic maths. Now that you know the basic 5 rules of Vedic maths with examples, let’s have a look at the advantages and benefits of Vedic maths for an individual:
From all the above, it is reasonably clear that Vedic maths is a boon to the education system. It will propel a healthy growth for children especially, encouraging them to develop a liking towards a subject that is dreaded by most. Students and adults can implement the techniques and shortcuts to master numerical calculations with Vedic maths.
Other Related Sections
NCERT Solutions | Sample Papers | CBSE SYLLABUS| Calculators | Converters | Stories For Kids | Poems for Kids| Learning Concepts | Practice Worksheets | Formulas | Blogs | Parent Resource
Comments(0)
Admissions Open for 2025-26
Academics
Arts
Astronomy
Badminton
Basketball
CBSE Board
Chess
Child Learning
Children's Literature
Civics
Coding
Creativity
Cricket
Cycling
Dance
Days and Festival
English
Entertainment
Environmental Awareness
Famous Personalities
Featured Blogs
Football
Full Form
Geography
Health and Nutrition
Hindi
Hockey
Horticulture
Maths
Music
Parents Corner
Public Speaking
QnA
Recommended
Robotics
Science
Scientist and Their Inventions
Social Skills
Sports
Swimming
Taekwondo
Teacher's Corner
Theatre
Innovative Methods Of Teaching For Motivating Students
Attendance Incentives or Recognitions
Continuous Assessment Methodologies
Code of Conduct for Students and Staff
Safeguarding Students Online: What Schools Can Do
Online Teaching Struggles
Coping with Homesickness in Virtual Schooling
Best Online Teaching Practices You Should Know
The Significance of Skills-Based Education
7 Thrilling Storytelling Tips For Kids!
CBSE Schools In Popular Cities
CBSE Schools in Bangalore
CBSE Schools in Mumbai
CBSE Schools in Pune
CBSE Schools in Hyderabad
CBSE Schools in Chennai
CBSE Schools in Gurgaon
CBSE Schools in Kolkata
CBSE Schools in Indore
CBSE Schools in Sonipat
CBSE Schools in Delhi
CBSE Schools in Rohtak
CBSE Schools in Bhopal
CBSE Schools in Aurangabad
CBSE Schools in Jabalpur
CBSE Schools in Jaipur
CBSE Schools in Jodhpur
CBSE Schools in Nagpur
CBSE Schools in Ahmednagar
CBSE School In Tumkur
Speak Your Mind
Save my name, email and website in this browser for next time I comment