Work is important…. But Life is more important

Work is important…. But Life is more important

Multiply by 21, Another method

As I promised you in my previous article, another method of multiplying by 21

Rule is Prev. digit + twice of next digit ( Carry over if required )

Let us take an example  456 X 21

Apply the rule from left to right

0 + 2 X 4   = 8 ( Since there is no previous digit for four, we added zero )

4 + 2 X 5 = 14

5 + 2 X 6 = 17 

The last digit is same as the last digit in the problem ( 456 ), so it is 6.

Let us write it together.

8 |  14 | 17 | 6, we have to apply carry over.

     

              So the answer is :   9576

Check the answer with your calculator, soon you may not need that.

This method can be applied for any number, however big it is !!!!!!

Enjoy doing maths !!!!!

Please Note : | symbol is used here as partition, no other special meaning.

Add fractions in seconds

Having a nightmare with fraction manipulation, here is an easy and natural solution for doing it.

Let us take,

3          4

---  +   ----    =       Multiply Crosswise and add  ( 3 X 6 = 18  and 5 X 4 = 20,

5           6                                                               that makes 18 + 20 = 38).

( In Maths terms   Multiply Left Numerator By Right Denominator and vice verse)

So Top of the answer is : 38 (Numerator)

For calculating bottom of the answer simply multiply both the numbers in bottom (5 X 6= 30). (Denominator)

So the answer is 38

                           ------

                            30.

If you want to subtract ? instead of adding both numbers to figure out the top of the answer (Numerator), just subtract.

Isn't simple enough ?

Multiplying two numbers ending with 5

There is a easy and quick way to find out the product of two numbers ending with 5.

Let us take an example

45 X 85

 
Step 1 : 4 + 8 = 12 ( Sum of the digits of two numbers leaving the last digit)
Since 12 is an even number write 25 in the answer.

                                  Step 2 : 4 X 8 = 32  

                                 Step 3 :  (4+8)/2 = 6 ( Since the sum is         the even number we divide it by 2)

Step 4 :   32+6= 38

Write it together 3825.


Let us take another example

35 X 85

Step 1 : 3 + 8 = 11
              Since the sum of first two digits are odd write 75 in the answer.
Step 2 : 3 X 8 = 24

Step 3 : (3+8-1) / 2 = 5 ( Since the sum is the odd number, we deduct -1)

Step 4 : 24 + 5 =29

Write it together 2975

How Vedic is Vedic Maths ?

How Vedic is Vedic Maths ? - Myths and Facts

            There are so many articles in Internet available which says Vedic Maths is not really from Vedha. If you go thru the articles keenly you will find something common in all the article.

They don't disagree that Vedic Maths techniques are correct and effective.

They only disagree that hype given to Hinduism or Knowledge of Hinduism in the means of Vedic Maths. 

Another common criticism about Vedic Maths is instead of following one single Common pattern of calculating, why should a child learn so many Techniques and apply differently based on situations ?

Then so many of my friends asking me why to use these methods, when we have calculator and computer to do the same ?

Initially I felt these comments are absolutely correct.  But after practicing it for sometime, I started understanding the difference.

Let us take the first complaint, Is it really from Vedha ?

Why do we need to worry whether it is from Vedha or not, if it is going to help a child to calculate fast, if it is going to build the mental strength of the next generation, why not we follow and teach it to the children ?

Next thought, when there is a conventional proven method, why to go for a complex confusing one ?

But people can find the difference only after practicing it.  For last nearly 30 years I was practicing the conventional method, very comfortable and happy with that, but it does not require my mind to work in any calculation, we had memorized tables and formulas in our child hood, learned some methods to apply that in add / sub / multi / div. So even while watching TV, enjoying the music, listening a gossip still I can do the sums. 

I cannot think of doing vedic maths with that environment, it requires absolute creativity to use the same formulas in different situation, simultaneously I have to do the calculation to give the answer in seconds ( At least in minutes). It gives immense exercise  to mind, to keep it healthy and fit.

This mental health would be useful for us in different situation to solve any problems, not only Maths.


Third common point of view is, why to do manually when we have machines to do so ?

    Yes, we have so many machines in our daily life, to make our task easy and leads to unhealthiness. So we go to gym and give exercise to our body parts to keep it fit. We can take Vedic Maths like that also, mental gym to keep the mind cells active.

However I found so many institutes offering Vedic Maths to children under the age of 12... In my point of view that is really not advisable. Unless a child is absolutely comfortable with the Basics, it is not good for a child to learn the Techniques.

Multiply by 21

Multiply any number by 21 in seconds

Very very simple and convenient method to multiply any number with 21.

Take the example of 45 X 21

First multiply 45 X 20 = 900
           Add 45                   45
                                        ------
                                        945

Take 567 X 21

Step 1 : 567 X 20 = 11340
Step 2 :                 +     567
                                ----------
                                 11907
                                ----------

The same method could be extended for 31, 41, 51.... etc multiplication as long as a child is comfortable in Tables.

However this method will not be effective as the no. of digits in the first number increases ( If a child is comfortable enough, you can use this).

We can use another method which is related to multiplication of 11, will be discussed in next post.

Dividing by 9

 

Simple mental method to divide a number by 9.

Take any number, say 15

15 / 9 = Write the first no. as quotient  Q - 1

                                                      reminder is 1 + 5 ( Add the digits) 6

                                                     So answer is Q=1 Reminder=6

Let us take another example with a little variant, say 48

 48 / 9 =  Write the first no. as quotient   Q= 4

                

reminder is 4 + 8 = 12

Since 12 has 9 one time, add the 1 with Q (4+1)

So Q= 5, Reminder = 12 - 9 = 3

Q = 5, R= 3.

Let us see, how it works with 3 digits,  example 567

567/9 = Write the first no. as quotient   Q=5

Then add 5 + 6 = 11, that is the second no. in the answer, since 11 is a two digit number, 1 should be carried to the previous digit.

5+1 1 That is 61 (Q)

Then for the reminder add all the digits (5 + 6+7) = 18.

Since 18 has 9 two times, add 2 with 61(Q).

So the answer is Q=63, R=0.

The same method can be carried out to any number of digits, with a little practice of carry concept.