VEDIC MATHS-16

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VEDIC MATHS

                           By OMKAR TENDOLKAR

Hello friends,

                      This is our 16th blog from the series of "Vedic maths" blogs. Here in this blog we will learn about "Criss-Cross System of Multiplication".

Criss-Cross System of Multiplication :

               In Vedic Mathematics , we have similar system as like traditional way of multiplication it helps us to get the answer much faster. This system is also universal system and can be used for any combination of numbers of any length.
                     This system of Multiplication is given by the "Urdhva-Tiryak Sutra." It means ' vertically and cross-wise'. The application of this system are manifold, but in this blog we shall confine our study only to it's utility in multiplying numbers. We shall call it the criss-cross system of multiplication.

Reference:
We had already learn about "Criss-Cross System of Multiplication for 2-digit numbers" our previous blog. If you have missed my last blog then please visit "VEDIC MATHS-14".

We had already learn about "Criss-Cross System of Multiplication for 3-digit numbers where carry over is not involved" our previous blog. If you have missed my last blog then please visit "VEDIC MATHS-15".

Method:

Here in in this blog we will learn about "Criss-Cross System of Multiplication for 3-digit number where there is carry over involved". The astonishing fact is that for 3-digits numbers also we will use same system as we had used in 2-digits system in expanded form.
And in every case, we will be able to get answer in a single line.
We shall quickly have a  look at how to multiply two three-digits number where there is carry over involved. Obviously, the process of carrying over is as we use in normal multiplication.
Let us have a look at the multiplication process involved in multiplying a three-digit number by another three-digit number.

Steps involved in multiplying 3-digits

Examples:

 1)              1  2  4
              ×  3  5  5 
        ---------------------
          4  4  0  2  0

  • We multiply 4 by 5 and get the answer as 20. We write down 0 and carry over 2.
  • ( The answer at this stage is ____0)
  • (2×5) is 10 plus (4×5) is 20. The total is 30 and we add the 2 carried over to get 32. We write down 2 and carry over 3.
  • ( The answer at this stage is ___20)
  • (1×5) is 5 plus (2×5) is 10 plus (4×3)  is 12. The total is 27 and we add the carried over to get the answer as 30. We write down 0 and carry over 3.
  • ( The answer at this stage is __020)
  • (3×2) is 6 plus (1×5) is 5. The total is 11 and we add the 3 Carried over. The final answer is 14. We write down 4 and carry over 1.
  • ( The answer at this stage is _4020)
  • Finally, (1×3) is 3. Three plus 1 carried over is 4. The final answer is 44020.

Answer:
124 × 355 = 44020

This, it can be seen that the product obtain by multiplying two 3-digits number can be obtained in just one line with the help of the Criss-Cross system.


More examples:
  1. 342×506=173052
  2. 412×903=372036
  3. 555×222=123210
  4. 391×274=107134
  5. 957×267=255519
               Thus, we see how to Criss-Cross system of multiplication helps us get our answer in just one line! And, the astonishing fact is that this same system can be expanded to multiplication of numbers of higher digits too.
                 And in every case, we will be able to get answer in single line.         
                The simplicity of this method can be vouched from examples given above.


You may try following example:

1) 234 × 146
2) 921 × 678
3) 823 × 267

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.

In next blog we will discuss about "Criss-Cross System of Multiplication for 4-digit numbers".     

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😊.

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