Squaring of Number

Now Squaring of Number will be very easy by the Multiplications method we have learn in previous Posts.

Let me give you few Examples of it.

9   -1

9   -1

8  / 1

12  +2         97    -3        108   +8        997    -3       1021  +21

12  +2         97    -3        108   +8        997    -3       1021 +21

14  /4          94  / 09       116 / 64         994/009       1042/441

28    +8         72    +2          72     -8

28    +8         72    +2          72     -8

36 / 64           74   /4           64 /64

x2                  x7                 x8         

72  /64           518 /4          512/64

=784                                =518/4

Now Lets see what if Number ends at 5!

The magic comes here!

45*45   = (4*5) /25 = 20 / 25

85*85   = (8*9)/25 = 72 / 25

115*115   = (11*12)/25 = 132 / 25 

325*325   = (32*33)/25 = 1056 / 25  ---> i calculate 32*33 directly using Vedic method!

1235*1235   = (123*124)/25 = 15252 / 25  ---> i calculate 123*124 directly using Vedic method!

105*105   = (10*11)/25 = 110 / 25

95*95   = (9*10)/25 = 90 / 25

Now you have learn lots of tricks to multiply and square number very Quick with very easy Methods!
Congratulations!

Don't Forget to share it with your Friends.

Two digit multiplication Easy methods

Do you tired of teaching your child multiplication tables?

Here i have something for you that you will feel that you do not need to remember Multiplication table more then number 5. Isn't it sounds cool ?

Let me Explain how to multiply 9 x 6 using 10 as base.

1) do 9-10 and write it to the right side of 9

2) do 6-10 and write it to the right side of 6

3) Now left side digit will calculate using Multiplication of right most digits that has been calculated using (1) and (2)

4) And Left Side Digit will calculate using add numbers in cross sides. i.e add 9 to -4 or add 6 to -1 both will give the same result.
 Here i have another Example of the same Methods that display another case of getting result in 2 digit right side. and how to handle it.

In such case we simply add right side's first digit to left side.

Now we are Moving towards number having more then 1 digit.

Now i will Show you how to multiply number near 100.

Method will Remain same as above but just the difference is on right side in answer we will have 2 digit as it is multiplication by number near 100.

How Simple it is! Then Why not use it by making daily Practice using it?

Now Lets see number Near 100 but above 100.

113    +13
102     +2
115  /  26

how easy????

Can you Imagine Multiplication can be much faster and easier like this?

Let take another Example of numbers in 1000.

988    -12              1113    +113
998    -2                1002    +2   
986 / 024              1115 /  226

What if one number is above our consider Base and another is above it???
Let Understand it by Example.

13   +3
7     -3
10 / -9
=91

because -9 will be subtracted from 10

Let see another Example.

114   +14
97     - 3 
111 / -42
=11058
Because 42 will be subtracted from last 100.

Let Take another Example to clear it!

Now What if Number is not near by 10 or not 100 or not 1000????

Don't Worry We have Method for it too!

i.e Example of base 20

24   +4
18    -2
22 / -8
x2       -----> here We Do multiplication by 2 because base is 10x2
44/-8
=432

This Method is Similar for all Number that is come near by some number. Practice of it will make you aware which method we can use for which numbers.

Let Take another Example to Finalize this Method with Practice.

76    +6
68    -2
74 / -12
x7       
518/-12
=5168

We have many more methods that we will see in next blog. Till Practice this one!
Have a Good Day.

Multiplication of 3 digit numbers

If you want to multiply 123 and 456 then consider 1 in 123 as a ,2 in 123 as b and 3 in 123 as c.

so the number 123 will be written as ax2 + bx +c

here x is 10 so

Here i have illustrate how to multiply 3 digit numbers using
 Vedic method  with Explanation

ax2+bx+c
=1*10*10 + 2*10  + 3
=100 + 20 + 3
=123

in same manner we take 456 as dx2 + ex + f

so now multiplication is between  ax2 + bx +c and dx2 + ex + f 

so the answer is (ad)x4 + (ae + bd)x3 + (af + be + cd)x2 + (ce+bf)x + cf

If you make this practice then multiplication be very easy for you.

so using vedic trick multiplication is as shown below.

1  2  3

4  5  6

4 3 8 7 8

 1 2 2 1   

5 6 0 8 8

You can do same method for any digit number for faster Multiplication.