Quicker Maths
3Nov/099

Vedic Multiplication of two numbers close to Hundred

Vedic Method of Multiplication: Base System of multiplication

Application: Multiplication of two numbers close to Hundred

Case 1: Both numbers greater than 100.

Rule: You will get the answer in two parts

First part, to get left hand side of the answer: Add the difference between 100 and either of the numbers to the other number

Second part, to get right hand side of the answer: multiply the difference from 100 of both the numbers

Example

103 x 104 = 10712

The answer is in two parts: 107 and 12,

107 is just 103 + 4 (or 104 + 3), and 12 is just 3 x 4.

Similarly 107 x 106 = 11342

107 + 6 = 113 and 7 x 6 = 42

123 x 103 = 12669

(123 + 3) | (23 x 3) = 126 | 69 =12669 .

 

If the multiplication of the offsets is more than 100 then this method won’t work. For example 123 x 105. Here offsets are 23 and 5.

Multiplication of 23 and 5 is 115 which are more than 100. So this method won’t work.

But it can still work with a little modification. Consider the following examples:

 

Example 1

122 x 123 = 15006

Step 1: 22 x 23 = 506 (as done earlier)

Step 2: 122 + 23 (as done earlier)

Step 3: Add the 5 (digit at 100s place) of 506 to step 2

Answer: (122 + 23 + 5) | (22 x 23) = 150 | 06 = 10506

 

Example 2

123 x 105 (Different representation but same method)

123 + 5 = 128

23 x 5 = 115

128 | 115

= 12915

 

In the next post I'll tell you about vedic multiplication, i.e.,  how to multiply two numbers lesser than the base (in this case 100).

Here's the promised post for you - http://www.quickermaths.com/base-method-of-multiplication/

If you liked this method of vedic multiplication included in ancient Vedic Maths, Please leave a comment to let us know.

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  3. Multiply 2 numbers, sum of whose unit places is 10
Comments (9) Trackbacks (2)
  1. how this trick works for 169 x 179 .please mention steps in explaination. and also the scope of trick. Thanks

  2. Dear Sir,

    I am very weak in Maths but I will keep learning short tricks from your site so that one day I would be able to clear the entrance Exams.
    Thanks. May God bless you.

    Regards
    Pallavi

  3. your shortcut multiplication and squares numbers are very useful to my bank exam thank you very much please send ur lot of shortcuts

  4. very nice, this will help a lot to persons interested in Maths at any age.

  5. nice trick
    prolong wid more tricks

  6. its wonderful…………
    keep posting more of these

  7. amazing dude it’s really working…….v

  8. superb work man……
    keep it up…


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