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The Dot Method for Addition
The process of adding the values of two numbers is called addition. This is also called as Samkalana in Sanskrit. This is the easiest one among all the arithmetic operations.
Normally people find it difficulty when more than two numbers are to be added. For this purpose the Dot method is used.
Example 1 :879 + 466 + 587 = ?
Step 1 :
879
466
587
__________
__________
In the above numbers, if we look at in units place, from the bottom, we find the digits 7, 6, 9. If we start adding in that sequence, first we have to add 6 to 7. Then we get 7+6 = 13.
This 13 can be visualized as 10+3. To indicate the number 10, we put a dot on 6. Temporarily we can forget about 10. Then we take 3 and add to 9. We get 3+9 = 12.
This can be visualised as 10+2. To indicate this 10, we put a dot on 9. The remaining digit 2 is written in units place in the answer.
Present Status :
Step 2 : Now we have to add the digits 8, 6, 7 of the 10's place. Before this, we have to count the number of dots put in the units place earlier. In the given problem the dots were written on the digits 6 and 9. Thus there are only two dots. This has to be added to the digit 8.
We get 2+8 = 10. To indicate this 10, we put a dot on 8.
We proceed further with the remaining '0' of the 10 obtained above.
0+6 = 6
The value 6 thus obtained is less than 10. Hence, there is no need for a dot on 6. We can proceed further with this 6 itself.
6+7 = 13
To indicate the 10 in the number 13, we put a dot on 7. Then 3 remains which has to be posted in the 10's place of the result.
Present Status :
Step 3 :
Following the same procedure, we count the number of dots (=2) in the 10's place and add to 5, 4 and 8 of the 100's place.
2+5=7, 5 No dot is needed on 5.
7+4 = 11; 4 Put a dot on 4.
1+8=9; 8 No dot is needed on 8.
The 9 obtained in the last step has to be written in the 100's place.
Present Status :
Step 4 :
There are no digits in the 1000's place. But, there is one dot in the 100's place. Hence, the number 1 has to be written in the 1000's place.
Present Status :
Thus, this dot method is highly useful when we get 10 or more than 10, while adding several numbers. Let's have a look at a few more examples.
Examples :
That's all for now friends. We shall learn another vedic math shortcut tomorrow. Happy Reading.
Note : If you have any doubts in above method, you can use the comments box below to ask. I will try to answer. Or else, you can read another version of this method from here for clarification.
Note : If you have any doubts in above method, you can use the comments box below to ask. I will try to answer. Or else, you can read another version of this method from here for clarification.
Read more Vedic Maths Shortcuts from here
About The Author
Rupali Shete (M.Sc., M.Phil., Ph.D) is a gold medalist from Osmania University (Hyderabad), one of the working members of Rananujan Mathematics Academy and Institute of Scientific Research on Vedas (ISERVE), Currently working in University of Pune.
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@ Kumar : Initially you may feel this method is time taking. Try to solve three to four problems using this method. You will be amazed by seeing how much time this method will reduce.
ReplyDeleteFor the sake of easy understanding I've explained each and every step in detail. With practice, you can easily get the answer with a single glance. Without even re-writing the problem.
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