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MULTIPLY Easily and Fast - Solve (1005 X 1008) in seconds !!

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Hi friends! This is Harsimran, your math guide. In previous post we learned how to multiply numbers like 97 with 98 or 997 with 998 in seconds! Here's the link - FAST MULTIPLICATION TECHNIQUE - Solve (997 X 998) in seconds !! In this post both the numbers (97 and 98) were less than the base i.e. 100. But today lets see how to multiply numbers which are greater than the base.

Lets start with a simple example i.e. 105 X 108 then we'll move on to bigger numbers like 1007 and 1008.


 1. 
The first step is to find the 'base' for the numbers. Here both the numbers (105 and 108) are near to 100 and also 100 a multiple of 10 so our base = 100. (For more information on base refer to the previous post - FAST MULTIPLICATION TECHNIQUE - Solve (997 X 998) in seconds !!)

 2. 
The second step is to find deviation for each number. The formula for deviation is :

Number - Base = DEVIATION

Deviation for 105 = 105 - 100 = +5
Similarly, deviation for 108 = 108 - 100 = +8

Write the number and their corresponding deviation in this fashion :-


 3. 
In the above pic, on the left hand side, 'sum' will come. Sum is calculated by adding the number with the diagonal deviation (cross-wise) like this :-


Either add 105 with +8  or add 108 with +5  both will give the same result i.e. 113. Therefore, sum = 113. Write the sum on the L.H.S as it is like this:-


 4. 
The last step is to calculate the product. It can be done by multiplying the deviation values with each other like this :-


Just check whether the number of digits in product = number of zeroes in the base.

Number of digits in 40 = 2 and the number of zeroes in base (i.e. 100) is also = 2. So the equality is present. Now moving to the last step.

 5. 
Lastly, just write both L.H.S and R.H.S with each other like this :-


Hence, friends the final answer will be :-


 105 X 108 =  11,340 


So, friends this is simply how we multiply two numbers, both above the base, using the vedic mathematics technique. It's simple, fast and efficient. Now you can save your time by using a faster alternative to the traditional method i.e. the vedic math technique and also never worry about any mistakes in calculations. Now, just enjoy practicing this technique with more and more numbers.

Here is an example to explain you how the method performs with larger numbers also i.e. in multiplication of 1007 with 1008, as said in the start.

                        1007 X 1008 = ?                         

In 1007 X 1008 , base will be 1000 (just guess why? :) Here's the reference link - BASE Concept )

The deviation values will be :-
Deviation for 1007 = Number - Base = 1007 - 1000 = +7
Deviation for 1008 = Number - Base = 1008 - 1000 = +8

Now the sum will be calculated as :-

Number   Deviation
1007          +7
1008          +8

Just add any one number with the diagonal deviation like this:-

1007 + (+8) = 1015
 or 
1008 + (+7) = 1015

(**Always take the sign of the deviation as it is.**)

Now last part is to calculate the product which is done by multiplying the deviation values with each other as :-
Deviation
     +7
x   +8
_________
56
_________

Just check whether the number of digits in the product = Number of zeroes in base
As, number of zeroes in base (i.e. 1000) = 3 , and number of digits in product = 2
So, just add a zero before 56 to make them equal like 

Product = 056

Now equality is present.


Therefore, sum = 1015 and product = 056. Merging both with each other and writing them as a single number, the final answer will become :-

 1007 X 1008 = 1015056 


So, friends this is a simple way to solve multiplication of larger numbers within seconds with the vedic technique. Keep practicing this technique to become more and more expert in calculating the answers and achieve the feat of calculating the result in 5 seconds!

Friends, share and follow if you like the post and also share any topic that you want to know or understand in the comments.

Till then friends HAPPY MATHING !!
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 Checkout one more blog on mathematics and learn MATH TRICKS and MATH CONCEPTS at - MATHOMATICAA!


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