Finding Square Of An Adjacent Number: One Up

Finding Square Of Adjacent Number
               You know the squares of 30, 40, 50, 60 etc. but if you are required to calculate square of 31 or say 61 then you will scribble on paper and try to answer the question. Can it be done mentally? Some of you will say may be and some of you will say may not be. But if I give you a formula then all of you will say, yes! it can be. What is that formula…..


The formula is simple and the application is simpler.


Say you know 60^2 = 3600
Then 612 will be given by the following


61^2 = 60^2 + (60 + 61) = 3600 + 121 = 3721
or Say you know 25^2 = 625 then
26^2 = 625 + (25 + 26) = 676


Like above, you can find out square of a number that is one less than the number whose square is known.

Comparison Between Vedic and Conventional System

Here we are putting a comparison between Conventional Method and Magical Methods for you to have a look.




                                                           

In conventional system you multiply the top digits one by one with the bottom digits and add them up to get the answer.

                                        

In Magical Methods you can multiply the numbers directly.

The above problem has been done using Criss-cross technique of Vedic Mathematics. Once you have little practice you can do it straight: 28232 × 53246 = 1503241072

Tricky Tricks - Enjoyable

Trick 1: Phone Number trick


Step1: Grab a calculator (You wont be able to do this one in  your head) .
Step2: Key in the first three digits of your phone number (NOT  the area code-if your number is 01-123-4567, the 1st 3 digits are  123).
Step3: Multiply by 80.
Step4: Add 1.
Step5: Multiply by 250.
Step6: Add the last 3 digits of your phone number with a 0 at the end as one number
step7: Repeat step 6
step8: Subtract 250
step9: Divide number by 20


Answer: The 3 digits of your phone number

Trick 2: Missing digit Trick

Step1: Choose a large number of six or seven digits.

Step2: Take the sum of digits.

Step3: Subtract sum of digits from any number chosen.

Step4: Mix up the digits of resulting number.

Step5: Add 25 to it.

Step6: Cross out any one digit except zero.

step7: Tell the sum of the digits. Subtract the sum of the digits from 25.

Answer: Inorder to find out the missing digit, subtract the sum of digits from 25. The difference is the missing digit.

Age Calculation Tricks:


Step1: Multiply the first number of the age by 5. (If <10, ex 5, consider it as 05. If it is >100, ex: 102, then take 10 as the first digit, 2 as the second one.)
Step2: Add 3 to the result.
Step3: Double the answer.
Step4: Add the second digit of the number with the result.
Step5: Subtract 6 from it.

Answer: That is your age.

Urnfeild Numerals

Urnfield Numbers :
    Urnfield culture was around 1200 BC. They followed quinary number system, that is base five.
    The numbers form 1 to 29 were found.

1 / 2 // 3 /// 4 //// 5 \ 6 /\ 7 //\ 8 ///\ 9 ////\ 10 \\ 11 /\\ 12 //\\ 13 ///\\ 14 ////\\ 15 \\\

16 /\\\ 17 //\\\ 18 ///\\\ 19 ////\\\ 20 \\\\ 21 /\\\\ 22 //\\\\ 23 ///\\\\ 24 ////\\\\ 25 \\\\\ 26 /\\\\\ 27 //\\\\\ 28 ///\\\\\ 29 ////\\\\\

The units digit are represented with a stroke from the top-right to the bottom-left '/' and the fifths place with a stroke from the top-left to the bottom-right '\'. Only till numeral 29 were to be found.


Enjoy This Interesting Part Of Maths !!!

Hebrew Numerals

Hebrew Numbers :
    Hebrew numerals is a quasi-decimal alphabetic numeral system. The numeric values for individual letters are added together.


Each units, tens, hundreds are assigned in a separate letter. 

1
2
3
4
5
6
7
8
9
10
20
30
40
50
60
70
80
90
100
200
300
400
500
600
700
800
900

The Hebrew numeric system operates on the additive principle in which the numeric values of the letters are added together to form the total.
Example:
249 corresponds to 200 + 40 + 9 = 249. It is represented as below:





Have Fun !!!

Sumerian Numerals

Sumerian Numbers :
    As the history told, the sumerians might have been invented their writing during 4th to 2nd millennia BC. Their number systems was a base 60 or sexagesimal system.
    The sumerian number system consists only two numerals, the one and ten. Their place value system is read from the right, increased by a factor of 60.

1
10

Example:
The below example will help you to know the Arabic(base ten) number represented in sumerian:





The above example is represented as:
10 + 1 + 1      1 + 1 + 1      10
12 x 602      3 x 601      10 x 600
12 x 3600 + 3 x 60 + 10
43200 + 180 + 10 = 43390


The main drawback of the sumerian number system is the way to represent zero is not mentioned.
Example:
The below example cannot be identified what kind of representation it makes, whether 342, 3420, 3402, or any other number variation, somehow it will intend to have some meaning from the context.






Mind Enjoying This Interesting Fact !!!

Greek Numerals

Greek Numbers :
    The Greeks had two number systems. First is the Acrophonic or Herodian or Attic numerals. This numerals were used by the ancient Greeks. Second is the Milesian, Alexandrian, Ionic, or Alphabetic numerals. 

Numbers	Acrophonic Greek	Alphabetic Greek
1
2
3
4
5
6
7
8
9
10
20
30
40
50
60
70
80
90
100
200
30
400
500
600
700
800
900

      The Greek numeric system operates on the additive principle in which the numeric values of the letters are added together to form the total.
Example:
      4567 corresponds to 4000 + 500 + 60 + 7 = 4567. It is represented as below:




Acrophonic Greek  : 

Alphabetic Greek  :