Vedic Maths – 5: General Method of Multiplication II

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This is the fifth and the final article in our series on Vedic Maths. We hope, by now, you have mastered all the techniques that we discussed in our earlier articles. As mentioned in our previous article, this write-up will teach you how to use the General Method of Multiplication for 3-digit (or more) numbers. So, here we go:

General Method of Multiplication 

Multiply 341 by 752 (three digit number by three digit number)

Step 1:

As done in two-digit numbers, put the numbers one below the other, like this:

3              4              1
7              5              2

Step 2:  

Now, multiply the digits in the first column (the first column is the one formed from the unit’s place of both the numbers).

3              4              1
X             7              5              2
——————————————–
2              No carry-over

Step 3:

Now cross-multiply unit’s and ten’s column, that is, 4X2 = 8; and 1X5 = 5. Add the answers (8 + 5) = 13. Put 3 in the ten’s column and 1 is carried-over.

3              4              1
X             7              5              2
——————————————–
3              2              Carry-over = 1

Step 4:

Cross-multiply third column with the first one, that is, 3X2 = 6 and 1X7 = 7. Add the two (6 + 7) = 13
Now, multiply the numbers of second column with each other, that is, 4X5 = 20
Add the above obtained answers with the carry-over, like this:
13 + 20 + 1 = 34
Put 4 in the answer and 3 is the new carry-over

3              4              1
X             7              5              2
——————————————-
4              3              2              Carry-over = 3

Step 5:

Now that all the three columns have been used, we will start eliminating the columns. Eliminate unit’s place column and cross-multiply second and third column with each other, that is, 3X5 = 15; and 7X4 = 28
Add the answers and the carry-over obtained in step 4
15 + 28 + 3 = 46 (Now, 4 is the new carry-over)
3              4              1
X                             7              5              2
———————————————————
6              4              3              2              Carry-over = 4

Step 6:

Now, eliminate the ten’s place column as well. We are left with only one column, that is, the third one. Multiply the digits with each other (3X7) = 21. Add the carry-over of step 5 to 21, like this:
21 + 4 = 25
Since we are left with no more columns, the answer obtained (25) will be written as it is:

3              4              1
X                                                             7              5              2
————————————————————————————
2              5              6              4              3              2      This is your answer.

You can repeat the above method with four digit number or above as well.

SEE ALSO:

1. Vedic Maths – 4: General Method of Multiplication
2. Vedic Maths – 3: Base Method
3. Vedic Maths: For Fast Calculations – Part 2
4. Vedic Maths: For Fast Calculations – Part 1

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