Vedic Math Tricks-Multiplying a number by lesser number of 9's

Vedic Math Tricks-Multiplying  a number by lesser number of 9's

In this blog we will learn Vedic Math Trick for Multiplying  a number by lesser number of 9's. Here we will adopt the method which is different from what we have learnt in our schools.




To multiply a number, with the lesser number of 9's as there are number of digits in the number let us start with an example.

Suppose we want to multiply 786 with 99 i.e. 786 x 99. Note that the number of 9's is less as the number of digits in 786. Follow the below steps :

  • Step -1 Place a colon two digits to the right of 786 (as there are number of  9's -2 in 99). Therefore we get 

 7 : 86

  • Step -2 Enclose it with a colon on the right to get 
   7 : 86 :
  • Step -3 Increase the left part of the semicolon by 1 i.e. add 1 to 7. Here in this case we get  
 8 : 86
  • Step -4 Align the enclosing colon of the original number with the colon of the new number as below 
Vedic Math Tricks
  • Step -5 Subtract 8 from 786 and 86 from 100.

Vedic Math Tricks


Therefore , 786  x 99 =77814

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Another example

Let us try the same method with one more example i.e 34185 x 999 

  • Step -1 Place a colon three digits to the right of 34185 (as there are number of  9's(3 in 999). Therefore we get 

34 : 185

  • Step -2 Enclose it with a colon on the right to get 
                                                     34 : 185 :
  • Step -3 Increase the left part of the semicolon by 1 i.e. add 1 to 35. Here in this case we get  
35 : 185
  • Step -4 Align the enclosing colon of the original number with the colon of the new number as below
Vedic Math Tricks

  • Step -5 Subtract 35 from 34185 and 186 from 1000.
Vedic Math Tricks


Therefore, 34185 x 999 =34150815

For subtracting 185 from 1000, you can follow the same Vedic method as we have learnt in one of our blogs. 

Click here : https://math-pathshala.blogspot.com/2023/07/vedic-math-tricks-subtracting-number.html


Try yourself for the below :

1. 24693 x 99 

2. 6458 x 999

3. 813243 x 9999


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