Vedic Maths Multiplication Shortcut Techniques : Nikhilam Method Part 2

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Hi friends, I am Rupali from Pune. A maths lecturer by profession. I used to write Vedic maths shortcuts techniques in gr8ambitionz.com (old readers of gr8 might remember me i guess). I stopped writing due to hectic work pressure. Recently, I have unexpectedly got 15 days of free time and I want to make the better use of this time. From today onwards, I will be sharing some vedic maths shortcut techniques for Multiplications and Divisions (if time permits I will be sharing a few techniques for Squares and Cubes too).

This post (Part 2) is direct continuation to my Previous Post, Nikhilam Method Part I. If you have the basic idea on Vedic Maths, then you can continue with the Nikhilm Method Part I post, but if you are new to vedic maths, then please read the following lessons, before reading this lesson, so that you can cope with the posts. Happy Reading :)

• Technique to calculate Complements (This technique is heart for almost all multiplication techniques. So please read it carefully)
• Multiplication Shortcut Technique - Lesson 1
• Multiplication Shortcut Technique - Lesson 2
• Multiplication Shortcut Technique - Lesson 3
• Multiplication Shortcut Technique - Lesson 4
• Multiplication Trick for some specific cases 
• Multiplication Shortcut Techniques - Nikhilam Method (Part I) 

So far (till our last lesson), all the numbers that were selected for multiplications are less than the base value. In today's lesson we shall see the technique for multiplying the numbers which are higher than the base. 

Multiplication of the Numbers which are higher than the base 

Example 6 : 106 x 106  = ?

Details :

1. Both the given numbers are nearer to 100. Hence 100 can be taken as the base.

2. The first number given is 106. The difference of this number and the base is +6. Similarly the difference of the second number and the base is +6. Multiply these two differences. Put the product in the two RHS blanks of the result. 

Present Status :

3. Add the differences to the given numbers. 106 + 06 = 112

Put this value in the LHS blanks of the result. 

Present Status :

Multiplication of the numbers with one number higher than the base, and the other number Smaller than the base. 

Example 7 : 107 x 94 = ?

1. Both the given numbers are near to 100. Hence 100 can be taken as the base. 

2. The first number given is 107. The difference of this number and the base is +7 (107 - 100). Similarly the difference of the second number and the base is -6 (94 - 100).

3. Multiply the differences (+07) and (+06). The product is -42. 

4. Add the differences to the given numbers. 

107 + (-06) = 101

or

94 + (+07) = 101

Present Status :

100 - 42  = 58

6. Present status :

=> 107 x 94 = 10058

Multiplications of numbers when the product of the differences is negative and also its magnitude is higher than the base. 

Example 8 : 112 x 88 = ?

1. Both the given numbers are nearer to 100. Hence 100 can be taken as the base. 

2. Put the numbers as follows. 

Present Status :

 => 112 x 88 = 9856

Example 9 : 1005 x 987  = ?

1. Both the given numbers are nearer to 1000. Hence 1000 can be taken as the base. 

2. Put the numbers as follows

=> 1005 x 987 = 991935

In my next lesson, I am going to teach you the technique to multiple the numbers which are away from the base.

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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