VEDIC MATHS-7

 

VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

               This is our seventh blog from the series of "Vedic maths" blogs. Here in this blog we will learn about "special multiplications".

               Here in this blog we will learn about "multiplication of numbers with series of 1's" in Vedic maths. Using the method given below we can instantly multiply any number with 11, 111, 1111, 11111, etc.

               This technique is divided into two case. In the first case, will will multiplying a given 2-digits number with equal 11. In the second case, we will multiplying a given higher digits  number with 111, 1111, 11111 etc. By dot sandwich method.

Special multiplication:

Multiplication of numbers with a series of 1's

Case 1:

Case 1 was already discussed in previous blog. If you have missed my last blog then please visit "VEDIC MATHS-5".

Case 2 :

In case 2 we will multiplying a given higher digits  number with 111, 1111, 11111 etc. By dot sandwich method.

We had already learn about multiplying a number with 111 In our previous blog. If you have missed my last blog then please visit "VEDIC MATHS-6".

Here in this blog we will learn how to multiply given number with 1111.

Rules:

1. Check whether multiplier is 1111.
2. Dot sandwich
3. Take sum of 4 digits
4. Start from right 

For example:

342 × 1111 = ?

Multiply 34 by 1111

Since,

Multiplier is 1111

hence,

it is of second case

• Check whether multiplier is 1111
• 342 * 1111 since multiplier is 4 digit number, hence  place two ••• on both side of 34 like •••342•••
• We move to left from right add 4 digits takes • as 0 then after each addition move to left by one digit

1. (2+0+0+0)=2
2. (4+2+0+0)=6
3. (3+4+2+0)=9
4. (0+3+4+2)=9
5. (0+0+3+4)=7
6. (0+0+0+3)=3

• The complete answer is 379962

Answer:

342 × 1111 = 379962

More examples:

1. 8×1111=8888
2. 42×1111=46662
3. 532×1111=591052
4. 7512×1111=8345832
5. 59947×1111=66601117

The simplicity of this method can be vouched from examples given above.

Using the same method, we can multiply any number by a series of 1's.

If you want to multiply a number by 11111 you can use the same method given above i.e. for sandwich method.

The only difference will be that we will add maximum five number at a time(because there are five ones in 11111) and we have to place •••• (4 dot) on both side of multiplicand.

Similar things we have to do with any higher number with series of 1's. Only difference is that we to add number of digits equal to the number of 1's in multiplier. We have to take care that number of dots (•) should be one less than number of one's in multiplier.

You may answer this in comment box. You may ask your any query or doubt in comment box. I will try to resolve as early as possible.

You may try following example:

1. 22 × 1111

2. 342 × 11111

3. 7645 × 111111

In next blog we will discuss about multiplications of a number with a series of similar digits in multiplier.

Are you excited for this?...

Then, please wait for it.

I will post my new blog in next week.

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

Thanks

for giving your valuable time.

Good day😊.