Today we will see the simple method of Multiplication. We are all aware that while doing multiplication, we need to take a product of say higher digit 9 with another 9 that comes out as 81. then we write 1 and keep carry as 8 and the same business we do till we get the answer. Here I simply do the same thing but no carry business is kept to remember.
Actually, this is a very simple method and without any error and within a very short period, we can do the multiplication.
Please see the following example of multiplication
Example: Multiply 279 by 563.
Step-01:
1) Here 279 is Multiplicand and 563 is a multiplier.
2) Unit's digit of Multiplicand 279 is 9.
3) Unit's digit of Multiplier 563 is 3.
4) The product of 9 and 3 is 27, which is written as it is as shown below.
5) Here the Number 27 obtained by the product of 9 & 3 has the unit's digit as 7 & the ten's digit as 2 and the same is written as it is, as shown below.
6) The ten's digit of Multiplicand 279 is 7 and that of Multiplier 563 is 6 and the product of 7 & 6 comes out as 42, which is written at Hundreds and thousands of places as shown in the diagram.
7) In the same way, the product of Hundreds of digits of Multiplicand & Multiplier is 2 into 5 is 10 which is also written as it is.
8) the corresponding product of the digits is written and below the digits 1 and 7, we put the Star mark so that those places are not used to write the product of the digit in the 2nd step.
Step-02:
1) The product of Ten's digit of Multiplicand (279) say "7" and the unit's digit of Multiplier (563) say "3" is 21 and the same one is written as shown below.
2) In the same way, the Product of the Hundreds digit of Multiplicand (279) say "2" and the tens digit of Multiplier (563) say "6" is 12 & is written as shown in the adjoining diagram.
Step-03:
1) Similarly, the product of the Unit's digit of 279 say "9" & ten's digit of 563 say "6" is 54 is written as shown below.
2) The product of ten's digit 7 of 279 & hundreds digit 5 of 563 is 35 is written as shown in the adjoining figure.
3) Now block the places below 3 & 4 of the number 3554 & allow to write below 55 as shown in the adjoining diagram.
Step-04:
1) Now the product of Units of 279 say "9" & Hundreds of 563 say "5" is 45 & the product of Hundreds of
279 say "2" & Units 563 say "3" which is "06" (Note: Always we need to take two digits of the product of any two digits. We know that the single largest digit is 9 & the product of 9 & 9 is 81 which is two digits, so any product of single two digits should be written as two digits number only.). So here we need to write 45 & 06 one below the other as shown in the adjoining diagram.
2) Then simply take the vertical addition. This is your final answer.
Like this, you can take the product of a 4-digit number & 3-digit number. Only we need to put "0" at the ten-thousands place to make our Multiplier of 4- digit Numbers.
Please study the above method & try it by doing some more product with the help of your parents. You can also ask me your query if any by filling out the Entry form available at the top left tab of this blog.
Enjoy Learning Mathematics by creating such type of interesting things.
Anil SatputeActually, this is a very simple method and without any error and within a very short period, we can do the multiplication.
Please see the following example of multiplication
Example: Multiply 279 by 563.
Step-01:
1) Here 279 is Multiplicand and 563 is a multiplier.
2) Unit's digit of Multiplicand 279 is 9.
3) Unit's digit of Multiplier 563 is 3.
4) The product of 9 and 3 is 27, which is written as it is as shown below.
5) Here the Number 27 obtained by the product of 9 & 3 has the unit's digit as 7 & the ten's digit as 2 and the same is written as it is, as shown below.
6) The ten's digit of Multiplicand 279 is 7 and that of Multiplier 563 is 6 and the product of 7 & 6 comes out as 42, which is written at Hundreds and thousands of places as shown in the diagram.
7) In the same way, the product of Hundreds of digits of Multiplicand & Multiplier is 2 into 5 is 10 which is also written as it is.
8) the corresponding product of the digits is written and below the digits 1 and 7, we put the Star mark so that those places are not used to write the product of the digit in the 2nd step.
Step-02:
1) The product of Ten's digit of Multiplicand (279) say "7" and the unit's digit of Multiplier (563) say "3" is 21 and the same one is written as shown below.2) In the same way, the Product of the Hundreds digit of Multiplicand (279) say "2" and the tens digit of Multiplier (563) say "6" is 12 & is written as shown in the adjoining diagram.
Step-03:
1) Similarly, the product of the Unit's digit of 279 say "9" & ten's digit of 563 say "6" is 54 is written as shown below.
3) Now block the places below 3 & 4 of the number 3554 & allow to write below 55 as shown in the adjoining diagram.
Step-04:
1) Now the product of Units of 279 say "9" & Hundreds of 563 say "5" is 45 & the product of Hundreds of
2) Then simply take the vertical addition. This is your final answer.
Like this, you can take the product of a 4-digit number & 3-digit number. Only we need to put "0" at the ten-thousands place to make our Multiplier of 4- digit Numbers.
Please study the above method & try it by doing some more product with the help of your parents. You can also ask me your query if any by filling out the Entry form available at the top left tab of this blog.
Enjoy Learning Mathematics by creating such type of interesting things.
I loved your multiplication blog. It is very creative. The article had very good descriptions and the pictures really helped me to understand the multiplication.
ReplyDeleteHi,
ReplyDeleteThanks for your Comment. To make full use of this site, I request you to spread the word so that the basic concepts of Math will really get improved through out the world.
Thanks & regards
Anil Satpute
While I do agree it's a good method, still feels a bit clumsy to use it in a practical situation where time is a pressing matter, as a fact after working on your mathematical skills calculating even more complex multiplications can be less than 10 seconds with the good practical method.
ReplyDeleteThe chinese abacus is the real practical method since it teaches you how to "visualise" it, not think about it, and have it in your reflex.
ReplyDeleteEven calculator or MS Excel can do the multiplication faster. Here point is to understand the basic of decimal system. We know that the greatest single digit is 9 and 9 x 9 gives 81 which is 2 digit number so the basic behind this is to understand and tell the students that even if we multiply 3 and 2 we should write 06 and not only 6. Such type of basic will improve the skills to understand mathematics from beginning. Secondly we need to teach every student that multiplying 10's placed digit of any number with 100th placed digit of another number will give the 1000th placed digit of our answer which can't be taught by CALCULATOR/ MS-EXCEL/ ABACUS/ or VEDIC MATHEMATICS. I am interested to teach basics to the students and after that they will definitely improve their skills. So the same thing is explained in my method. I think we should not stop learning any new concepts which is really improve our basics. I am not writing my blog on mathematics for competition. I simply want to develop our basics. That's all.
For more details and whenever you find time, read my Blog from beginning. My blog url is : http://anil7pute.blogspot.in/