Vedic Mathematics, in the modern world, has become somewhat of a fad. People see it as a fly by night trick that is not worth learning.
The truth is that Vedic Mathematics is one of the most efficient ways to learn Math. It is not just a duplicitous technique but a well-established practice that has managed to survive years of neglect.
In fact, Vedic Mathematics is powerful enough to solve JEE level math.
There’s much to learn about this ancient subject.
But before we get into that, let’s first take a look at where Vedic Mathematics is coming from.
Vedic comes from the Sanskrit word ‘Veda’ which means ‘Knowledge’. Vedic math employs sutras, a rule or aphorism in Sanskrit literature, to help the learner solve Math problems faster and more efficiently.
Vedic Mathematics was discovered by Shankaracharya Bharati Krishna Tirthji. He is also known as the father of Vedic Mathematics.
Let’s dive into some of the Vedic Mathematical formulae that you can use to solve ICSE/CBSE as well as JEE Math problems, faster and more accurately than conventional methods.
Finding the Square Value
Step 1. Choose a base closer to the original number.
Step 2. Find the difference of the number from the base.
Step 3. Add the difference with the original number.
Step 4. Multiply the result with the base.
Step 5. Add the product of the square of the difference with the result of the above point.
(99) ² =?
Step 1. Choose 100 as base
Step 2. Difference: 99-100 = -1
Step 3. Add the number with the difference that you got in Step 2 = 99 + (-1) = 98
Step 4. Multiplying result with base = 98*100 = 9800
Step 5. Now, add result with the square of the difference= 9800 + (-1)² = 9801
So our answer is : (99) ² = 9801
Dividing a Large Number by 5
1st step. Multiply the number by 2
2nd step: Move the decimal point to the left.
3rd step: Left side of the decimal point is your answer.
For example: 245 / 5 =?
Step 1. 245 * 2 = 490
Step 2. Move the decimal: 49.0 or just 49
Let’s try another: 2129 / 5
Step 1: 2129 * 2 = 4258
Step2: Move the decimal: 425.8 or just 425
Subtraction from 100, 1000, 10000
For example:
1000 – 573 =? (Subtraction from 1000)
We simply subtract each figure in 573 from 9 and then subtract the last figure from 10.
Step 1. 9 – 5 = 4
Step 2. 9 – 7 = 2
Step 3. 10 – 3 = 7
So, the answer is: (1000 – 573) = 427
Multiplication of any two digit number (11-19)
Step 1. Add the unit digit of the smaller number to the larger number.
Step 2. Next, multiply the result by 10.
Step 3. Now, multiply the unit digits of both the 2-digit numbers.
Step 4. Then add both the numbers.
For example: Let’s take two numbers 13 & 15.
Step 1. 15 + 3 =18.
Step 2. 18*10 = 180.
Step 3. 3*5 = 15
Step 4. Add the two numbers, 180+15 and the answer is 195.
It seems quite complicated at first but once you get used to it, you can do difficult calculations within seconds.
Squaring off a number whose digit unit is 5
Let’s take (55) ²
Step 1. 55 x 55 = . . 25 (end terms)
Step 2. 5x (5+1) = 30
So our answer will be 3025.
Try squaring off 65 and 35 using this technique.
Multiplying any three digit number
Step 1. Now subtract the unit place digit from the actual number.
308-8=300
306-6=300
Step 2. Now select any (1st or 2nd) number and add the unit digit of the other number
308+6=314
Step 3. Now we will multiply the product we got in step 2 and step 1; 314×300 = 94200
Step 4. Unit digits of both the numbers are 8 & 6. The product of these 2 numbers: 8×6=48
Step 5. Last step: 94200 + 48 = 94248
So our final answer 306 x 308 = 306 is 94248
Multiply any two digit number by 11
Step 1. 32 x 11
Step 2. 32 * 11 = 3 (3+2) 2 = 352
So, the answer is: 32 * 11 =352
Another Example:
52 x 11 = 5 (5+2) 2 = 572
Multiplying a number by 5
Take any number and divide it by 2 based on its even or odd nature (if it’s an odd number, put it in a bracket, reduce 1, and then divide it by 2.
Even Number:
2464 x 5 =?
Step 1. 2464 / 2 = 1232
Step 2. add 0
The answer will be 2464 x 5 = 12320
Odd Number:
3775 x 5
Step 1. Odd number; so ( 3775 – 1) / 2 = 1887
Step 2. As it is an odd number, so instead of 0 we will put 5
The answer will be 3775 x 5 = 18875
Author Bio:
Star Kids Institute came into existence in 2003 with an aim to offer kids an innovative and fun way to learn and developmental capabilities. Star Kids Institute provide coding classes for kids, abacus classes for kids, chess training in dubai, vedic mathematics classes in dubai, e.t.c.