VEDIC MATHS-3

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                        This is our third blog from the series of 'Vedic maths' blogs. Here, we will learn about "special multiplications".

                    In this blog, we will focus on the "multiplication of numbers with series of 9's" in Vedic maths. Using the method given below, we can instantly multiply any number with 99, 999, 9999, 99999, etc.

                      This technique is divided into three cases. In the first case, we will be multiplying a given number with an equal number of nines. In the second case, we will be multiplying a number with a lower number of nines. In the third case, we will be multiplying a number with a higher number of nines.

Special multiplication:

Multiplication of numbers with a series of 9's

Case 1:

Case 1 was already discussed in the previous blog. If you missed it, please visit "VEDIC MATHS-2".

Case 2 :

(Multiplying a number by a smaller number of nines.)

Rules:

1. Make pair 
2. Subtract remaining digits by adding 1.
3. Write complement (Deduct all digits from 9 and the last from 10).
4. Confirm that the number of digits is more than the number of nines in the multiplier.

For example:

654 × 99 = ?

To multiply 654 by 99:

Since,

(multiplicand  digit > multiplier digit) hence,

it falls under the second case.

• First, we pair the numbers. 654×99 .Since 99 is a 2-digit number, we underline the last 2 digits of the multiplicand. This completes the first step of making pairs.
• Next, we subtract the remaining digits by adding 1 to the unpaired number. Here, the remaining digit not underlined is 6. Adding 1 to it, we get (6 + 1 = 7). Then, we subtract 7 from the main multiplier, which is 654, giving us (654 - 7 = 647). The answer at this stage is 647___.
• Next, we write the complement of 54 (paired with 99). That is, nine minus five is 4, and ten minus four is 6. The answer obtained was 647, and now we append the digits 4 and 6 to it.
• The complete answer is 64746.

Answer:

654 × 99 = 64746.

More examples:

1. 56×9=504
2. 652×99=64548
3. 5642×999=5636358
4. 48592×9999=485871408
5. 814365×9999=8142835635

The simplicity of this method can be attested by the examples provided above.

You may try the following examples:

1. 7777 × 999

2. 65432 × 9999

3. 90909 × 9999

Feel free to answer in the comment box. You may also ask any questions or share doubts in the comment box, and I will try to resolve them as soon as possible.

In the next blog, we will discuss multiplications of a number with higher number of nines.

Are you excited for this?...

Then, please wait for it.

I will post my new blog next week.

We will meet very soon through our next blog. Until then, stay connected, stay healthy, and stay safe.

Thanks for giving your valuable time.

Good day 😊.