VEDIC MATHEMATICS FOR BEGINNERS

Lesson 4
 

Addition of numbers using ‘Ekadhiken Purvena’

Recall : ‘Ekadhiken Purvena’ means ‘One more than the previous one’

Usually we make mistakes in adding numbers which involve carrying. The problem increases when we add too many numbers containing large number of digits.

Study the following examples:

While adding if the addition is 10 or more, then the Ekadhik symbol (·) is placed for a group of 10 on the digit of the number with the next higher place value and continue adding with the balance of the sum. The same process is followed for tens , hundreds and thousands place respectively.

For example,

Question. Add 49 and 36.

Usual method :
Step 1. 9 + 6 = 15
Step 2. Write 5 in the unit’s column and annex 1 to the ten’s column.
Step 3. Add ten’s column. 1 + 4 + 8 = 13
Step 4. Write 3 in the ten’s column and annex 1 in the hundred’s column.
Step 5. Write 1 as the sum of the hundred’s column.

The sum is 135.

Now with the method of ‘Ekadhiken Purvena’:

Question. Add 49 and 36.

4 9 8 6 ----- ----- ---- 5	Step 1.   9 + 6= 15 therefore Ekadhik symbol will be on 8 and the remainder 5 will be written at the units place in the sum.
4 9 0 8 6 ----- ----- ---- 3 5	Step 2.                            Here, 4 + 8 = 13 ( 8 = 8+1=9) i.e., 4 + 9 = 13 . (The Ekadhik of 8 is 9)                           comes on 0 i.e., 0 . The remainder 3 will be written at the tens place in the sum.
4 9 0 8 6 ----- ----- ---- 1 3 5	Step 3.                    Since 0 = 1 (0+1=1)thus , 1 will be written at the hundreds place in the sum.                          Thus, the sum is 135.
Thus, in a single step the procedure will be as follows: 4 9 0 8 6 ----- ----- ---- 1 3 5
Example : Add using ‘Ekadhiken Purvena’ 412, 635, 433,1275 Solution: 4 1 2 0 6 3 5 4 3 3 1 2 7 5 ----- ----- ---- ---- 2 7 5 5 ------ ------ ---- ----
Example : Find the sum. 2356 + 136 + 6759 + 345 + 1289 + 2899 Solution: 2 3 5 6 1 3 6 6 7 5 9 3 4 5 0 1 2 8 9 2 8 9 9 ---- ---- --- --- ---- 1 3 7 8 4 ---- ---- --- --- ----

PRACTICE EXERCISE

Add the following the Vedic Mathematics way (using Ekadhiken Purvena):

1. 48 + 67
2. 67 + 57 + 36
3. 9 + 15 + 125
4. 16 + 55 + 67 +234
5. 123 + 234 + 345 + 456
6. 654 + 543 + 432 + 321
7. 4563 + 234 + 1239 + 666 + 7777
8. 3567 + 5376 + 7356 + 3675 + 6753 + 7563
9. 1111 + 7898 + 34 + 635 + 90 + 9087 + 1378
10. 6666 + 5555 + 4444 + 3333 + 2222 + 1111

ANSWERS

1. . 115
2. . 160
3. . 149
4. . 372
5. . 1158
6. . 1950
7. . 14479
8. . 34290
9. . 20233
10. 23331

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