Easy Multiplication of numbers around 100
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Learn Vedic Maths sutras, Solve difficult calculations mentally and instantaneously. Maths is now easy!
It is practically easy to calculate the square of the subsequent number if you know the square of the number.
For example, if you know the square of 10, You can figure out the square of 11 mentally and instantaneously.
Here is how you can do it.
Continuing the above example, Square of 10 is 100, So, square of 11 will be 121.
How ???
First, we multiply 10 with 2 to get 20 and add 1 to it to get 21. [We used: 2A + 1 ( Where A is 10 here)]
Next, we add 21 to 100 (Because 100 is the square of 10)
It may be difficult for you to multiply a number with 5 , specialy larger numbers like "34638445" , "43574683", or even more larger than this. But after you learn this technique, you can even multiply larger numbers than the above mentioned numbers.
Here is how you should go:
Suppose, You want to multiply 264 with 5, then..
write or imagine mentally:
This method is applicable for multiplying 9 with numbers upto 10 .
This method requires the use of your hands, this method is very easy to learn.
This method covers a very limited amount of numbers (i.e numbers ranging between 0 - 10 ) But You'll definately find it very interesting and easy..
Here is how to do it-
This is not related to vedic mathematics, this is just an easy trick for the 9 times table up to 9x10. First, write the numbers
0-9 down the left hand side:
0
1
2
3
4
5
6
7
8
9
Then, repeat the process of writing the numbers 0-9, this time going
UP the right side:
Generally for peoples making addition is easier than subtraction. We will learn how to make addition even more easier.
>How would you add 68 plus 9 in your head?
The easy way would be to add 10 to 68, (78), and take away one (1). The answer will be 77.
It is easy to add 10 to any number mentally; 27 plus 10 is 37; 249 plus 10 is 259, etc. Simply increase the tens digit by 1 each time you add 10 to a number.
Here is a basic rule for adding mentally :
To add 9, add 10 and subtract 1; to add 8, add 10 and subtract 2; to add 7, add 10 and subtract 3, and so on.
If you wanted to add 36 , you would add 40 and subtract 4 . To add 295, add 300 and subtract 5. This makes it easy to calculate mentally. To add 67 to a nubmer, add 70 and subtract 3 . To add 385 to a number, add 300 and subtract 15.
After you read this article , you would be able to find the answers to the square of numbers ending with 5, almost instantly and mentally.
For example , you squares of 35 , 75 , 95 , 105 etc.
Here's how to do it,
Imagine in mind the number, suppose 35 in your mind to be of two parts "3" and "5" ( If it is difficult for you to imagine , write it at a piece of paper )
Now, multiply the first part of the number with a number that is one ( 1 ) greater than it ( Here, "3" is to be multiplied with "4" as 3 + 1 = 4 ) , this will be the first part of your final answer.
Here, 3 x 4 = 12 , so , 12 will be the first part of your final answer.
Next we know 52=25 , so 25 will be the next part of your final answer.
Multiplication with 11 looks difficult, but it is easy too , if you follow this vedic maths technique..
In order to multiply a number from 11 , You have to move from the number's unit's degit to the last digit ( i.e. from the right to left ) . You have to simply put the unit's digit as it is in the final answer, then you have to add the Unit's degit number with the number at Ten's place and put the answer (if the total of the Unit's and Ten's digit goes above 10 then you should place only the unit digit at the answer and carry the carryover Ten's digit of the answer to the next Hundred's digit and so on till you reach the last digit ) .
Theoritically its too difficult for You to understand if you don't love maths ( like 9/10 people ) ....
So, lets take some example, firstly we should take a two digit number like 35
35 x 11 = Put 5 as the unit digit of your final answer
next add "3" and "5" (as we should move in the left direction digit by digit) and put "8" as the Ten's digit of your final answer.
lastly put "3" as the hundredth and last digit of your final answer. ( this is done because you have already dealt with 5 , 5+3 and lastly 3 )
So the final answer is 385
35 x 11 = 385 ( 3 , 3+5 , 5 )
This are all the Sixteen Sutras or Aphorisms of Vedic Mathematics with their respective meanings. -
Sr No. | Sutras | Meaning |
---|---|---|
1. | Ekadhikina Purvena | By one more than the previous one |
2. | Nikhilam Navatashcaramam Dashatah | All from 9 and the last from 10 |
3. | Urdhva-Tiryagbyham | Vertically and crosswise |
4. | Paraavartya Yojayet | Transpose and adjust |
5. | Shunyam Saamyasamuccaye | When the sum is the same that sum is zero. |
6. | (Anurupye) Shunyamanyat | If one is in ratio, the other is zero |
7. | Sankalana-vyavakalanabhyam | By addition and by subtraction |
8. | Puranapuranabyham | By the completion or non-completion |
9. | Chalana-Kalanabyham | Differences and Similarities |
10. | Yaavadunam | Whatever the extent of its deficiency |
11. | Vyashtisamanstih | Part and Whole |
12. | Shesanyankena Charamena | The remainders by the last digit |
13. | Sopaantyadvayamantyam | The ultimate and twice the penultimate |
14. | Ekanyunena Purvena | By one less than the previous one |
15. | Gunitasamuchyah | The product of the sum is equal to the sum of the product |
16. | Gunakasamuchyah | The factors of the sum is equal to the sum of the factors |
Know about Vedic Mathematics Homepage |
This technique works well for squaring number ending with 1. If you multiply the numbers the traditional way you will see why this works.
For example:
312 =
Firstly, subtract 1 from the number. The number now ends in zero and will be quite easy to square now.
302 = 900 (3 x 3 x 10 x 10)
This is our sub-total.
Secondly, add together 30 and 31 -- the number we squared plus the number we want to square.
30 + 31 = 61
Add this to our sub-total, 900, to get 961 (900 + 61) , which becomes the answer.
Note: For the second step you can simply double the number we squared, 30 x 2 and then add 1.
Vedic Mathematics is an ancient knowledge comprising of 16 sutras or aphorisms related to mathematics, check out all the 16 Sutras of Vedic Mathematics. This set of sutras was extracted from the Hindu Vedas which were written around 1500-900 BC. The founder of Vedic Mathematics was Swami Sri Bharati Krishna Tirthaji Maharaja, a Hindu scholar and mathematician.
It is also believed that this knowledge laid down the foundation of algorithm, square roots, algebra, the concept of zero and various methods of calculations. If you master all the Sutras or aphorisms in the vedic mathematics, you can solve any mathematical problem be it - arithmetic, algebra, geometry, or trigonometry and that also ORALLY !!.
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