Can you answer 2474 x 99 within seconds?
Can you find the square of 256 without using a calculator within seconds?
Yes, it’s pretty difficult to solve these above questions without a calculator within a few seconds but, by using the Vedic Math Tricks explained in this blog post would actually help you do that easily.
For your information, the book Vedic Maths was written by an Indian monk Swami Bharati Krishna Tirtha in 1965. The book talks about various mental calculation techniques to solve mathematical problems without even using a calculator.
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So, let’s explore 5 such Vedic Math Tricks to do calculations faster than ever.
Table of Contents show
Top 5 Vedic Mathematics Tricks
Here, in this blog post, I will be including the Top 5 most popular and most useful Vedic Mathematics Tricks and explain them in details.
Trick 1: Finding the Square of Any Number
Here, we will be finding out the square of 99 by using the Vedic Tricks… Let me break the complete procedure in small-small steps:
Step 1: Choose a base closer to the given number
Here, we will choose 100 as the base (because it is closest to the 99)
Step 2: Find the difference between the given number and the base
In our case, the difference between the number and the base would be minus one i.e. -1 (99 – 100)
Step 3: Add the difference with the given number
Here, it would be 99 + (-1) = 98
Step 4: Multiply the result with the base
And, in our case, it would be 98 * 100 = 9800
Step 5: Add the multiplication of the square of the difference with the previous result
So, it would be 9800 + (-1)2 = 9800 + 1 = 9801 Hence, 992 will be equal to 9801.
Trick 2: Multiplication of Any 2 Digit Number with 11
This trick makes the multiplication of any 2 digit number with 11 very easy. You will be able to solve these types of questions within 1-2 seconds after learning this trick.
Example 1: 36 x 11
Here, you will have to keep both digits as it is and in the middle of the digits simply write their Sum.
In this case, it would be: 3 (3 + 6) 6 = 396
Note: Please note that here you don’t have to multiply the digits.
Let’s take another example here,
Example 2: 53 x 11
And, as you would have already guessed, it will be 5 (5 + 3) 3 = 583
But, it becomes a little different when the sum of the 2 digits is greater than 9.
Let’s see it by another example.
Example 3: 99 x 11
In this case, all the processes will be almost same as the previous one except you will have to write only the last digit of the sum of both digits in the middle and add 1 to the very first digit of the result.
Here’s how,
9 (9 + 9) 9 = 9 (18) 9 = (9 + 1) 8 9 = 1089
Let’s make it more clear with 1 more example,
Example 4: 67 x 11
6 (6 + 7) 7 = 6 (13) 7 = (6 + 1) 3 7 = 737
Isn’t it awesome?
Trick 3: Division of Large Number by 5
However, dividing any number which is divisible by 5 with 5 is already easy, but in this trick, I will show you how to divide any 5 digits number with 5, within seconds.
Let me break this into small steps.
Example 1: 3132 / 5
Step 1: Multiply the number with 2
In our case, it would be 3132 x 2 = 6264
Step 2: Move the decimal to the left by 1
Here, 626.4
And, believe me, this is your answer.
Let’s try another question.
Example 2: 5491 / 5
First, multiply by 2: 5491 * 2 = 10982
So, 5491 / 5 = 1098.2
Isn’t it simple?
Trick 4: Multiplication of Any Two 2 Digit Numbers (from 11 to 19)
How much time will it take you to multiply 12 x 18? Quite long, right? Here comes the trick.
Step 1: Add the unit digit of the smaller number to the larger number
Here, in our case, 18 + 2 = 20
Step 2: Multiply the result by 10
20 x 10 = 200
Step 3: Multiply the unit digits of both the numbers
2 x 8 = 16
Step 4: Add both numbers (which you obtained in Step 2 and Step 3)
200 + 16 = 216 So, 12 x 18 = 216
Trick 5: Multiply Any Number with 5
This is the best trick to multiply any large or small number with 5 just within seconds. The trick works little different for the even and odd numbers.
First, we will see the Even Numbers
Multiplication of Even Numbers by 5
Just divide the number by 2 and then write 0 at the end of it.
Let me show it to you.
Example 1: 1662 x 5
First, 1662 / 2 = 831
Now, add 0, 8310, which is your answer.
Easy peasy, right?
Example 2: 1952364 x 5
1952364 / 2 = 976182
So, 1952364 * 5 = 9761820
Multiplication of Odd Numbers by 5
In the case of Odd Numbers, you will have to subtract 1 from the number before dividing with the 2, and, after that write 5 to the end of the number.
Here’s how, Example 1: 1637 x 5
First, (1637 – 1) / 2 = 1636 / 2 = 818
Now, write 5 at the end i.e. 8185
So, 1637 * 5 = 8185
That’s it.
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Final Words
You just saw how useful are Vedic Mathematics Tricks when it comes to the complicated Mathematical calculations without using any calculator.
It is almost impossible to mention all those tricks here in this blog post. But, you can always go for the Vedic Mathematics book on Amazon.
Now, it’s your turn.
Which Trick mentioned here did you like the most – Trick 1 or Trick 5?
Or, you may have a question/query to ask.
Either way, let me know in the comments below now.
