Showing posts with label Mathematics Fun. Show all posts
Showing posts with label Mathematics Fun. Show all posts

Thursday, 19 July 2012

Armenian Numbers

Armenian Numbers :
    The Armenian number system is a historic numerals using the capital letters of the ancient armenians.


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

1000

2000

3000

4000

5000

6000

7000

8000

9000


There is no special notation for zero. It is based on additive number system.
Example:
1998 = 1000 + 900 + 90 + 8 is represented as below:


This is a funny interesting part of maths. Enjoy it with Fun!

Math Addition Trick for Adding Two Digit Numbers

Let us begin with the basic method of adding two numbers
Take the example of 71 + 69
This is the usual method which we do with the help of pen and paper
Are you interested to do these calculations mentally?
If your answer is yes,then read below to learn the trick.

Trick:
In addition, adding 10 to a two digit number is easy as we just need to increase the digit in the tenth place by 1. 12 + 10 is 22,34 + 10 is 44 and so on.
We use the same rule while adding any two numbers.To be clear, see how 71 and 69 is added

Method 1:
Step 1:
71 + 69 can be written as 71 + 70 -1
In this step, 69 is split as 70 and 1

Step 2:
Addition of 71 + 70 is easy which gives 141 ie 71 + 70 = 141
Now subtract 1 from 141 ie 141 - 1 = 140.
This gives the answer i.e. 71 + 69 = 140

Method 2:
Alternatively, the below method can also be used.The choice of method depends on the numbers that are added

Step 1:
71 + 69 can be written as 71 + 60 + 9
In this step, 69 is split as 60 and 9

Step 2:
Addition of 71 + 60 is easy which gives 131 ie 71 + 60 = 131
Now add 9 to 131 ie 131 + 9 = 140.
This gives the answer i.e. 71 + 69 = 140
When you practice this, you can increase the speed and improve your addition skills.Try some practice questions

Practice Questions
1.19+26=?
2.31+39=?
3.14+45=?
4.11+79=?

Finger Multiplication of 6,7,8,9,10 Time Tables

Place your fingers as in the below image and consider the value of fingers in each hand to be 6, 7, 8, 9 and 10 - in the order from small finger to thumb.


6th time table finger multiplication trick


Example
Consider the multiplication of 7 × 8.
Make the finger numbered 7 in the left hand to touch the finger numbered 8 in the right hand.

6th time table finger multiplication trick


Step 1:
Now in the left hand, count the finger which is touching (7) and the ones below that = 2 fingers
Similarly in the right hand, count the finger which is touching (8) and the ones below that = 3 fingers
Add the above counted fingers = 2 + 3 = 5 fingers
Multiply the number by 10 = 5 × 10 = 50 -----> (1)

Step 2:
In the left hand, count the fingers above the touching finger = 3 fingers
Similarly in the right hand, count the fingers above the touching finger = 2 fingers
Multiply both = 3 × 2 = 6 -----> (2)

Step 3:
Add (1) and (2),
= 50 + 6 = 56
So, the answer for 7 × 8 = 56 which is easily found through the above trick.

Note:
If there is no finger above the considered (touched) finger, then consider the value as zero (0).
Play the same for the below multiplications
6 × 6 = ? 6 × 7 = ? 6 × 8 = ? 6 × 9 = ? 6 × 10 = ?
7 × 6 = ? 7 × 7 = ? 7 × 8 = ? 7 × 9 = ? 7 × 10 = ?
8 × 6 = ? 8 × 7 = ? 8 × 8 = ? 8 × 9 = ? 8 × 10 = ?
9 × 6 = ? 9 × 7 = ? 9 × 8 = ? 9 × 9 = ? 9 × 10 = ?
10 × 6 = ? 10 × 7 = ? 10 × 8 = ? 10 × 9 = ? 10 × 10 = ?

Finger Multiplication of NInth Time Table

Finger Multiplication of Ninth (9th) Time Table

Place your fingers as in the below image and number the fingers from 1 to 10.

9th time table finger multiplication trick


Example
Consider the multiplication of 4 × 9.

Step 1:
Here 4 is to be multiplied by 9.
So, fold the 4th finger and count the ones before the folded finger.
Number of fingers before the folded finger = 3 fingers
Multiply the number by 10, = 3 × 10 = 30 -----> (1)
(as shown in the below figure)

9th time table finger multiplication trick


Step 2:
Count the fingers after the folded finger = 6 -----> (2)
(as shown in the below figure)

9th time table finger multiplication trick


Step 3:
Add (1) and (2),
= 30 + 6 = 36
Therefore the solution to our problem 4 × 9 = 36 is easily found using the above trick.

Note:
If there is no finger below/above the considered (folded) finger, then consider the value as zero (0).
Play the same for the below multiplications
1 × 9 = ?
2 × 9 = ?
3 × 9 = ?
4 × 9 = ?
5 × 9 = ?
6 × 9 = ?
7 × 9 = ?
8 × 9 = ?
9 × 9 = ?
10 × 9 = ?

Angel Number 421

Rules
   Step 1  
 Select any whole number. 
   Step 2  
 If it is an even number, divide by 2; if it is odd number multiply by 3 and add 1. 
   Step 3  
 Repeat the process mentioned in step 2 until you get the loop value 4, 2, 1 in 
 repetition. 
Example
  Whole number is 15. 
  15 is an odd no; so (15 × 3) + 1 = 46 
  46 is an even no; so 46 / 2 = 23 
  23 is an odd no; so (23 × 3) + 1 = 70 
  70 is an even no; so 70 / 2 = 35 
  35 is an odd no; so (35 × 3) + 1 = 106 
  106 is an even no; so 106 / 2 = 53 
  53 is an odd no; so (53 × 3) + 1 = 160 
  160 is an even no; so 160 / 2 = 80 
  80 is an even no; so 80 / 2 = 40 
  40 is an even no; so 40 / 2 = 20 
  20 is an even no; so 20 / 2 = 10 
  10 is an even no; so 10 / 2 = 5 
  5 is an odd no; so (5 × 3) + 1 = 16 
  16 is an even no; so 16 / 2 = 8 
  8 is an even no; so 8 / 2 = 4 
  4 is an even no; so 4 / 2 = 2 
  2 is an even no; so 2 / 2 = 1 
  1 is an odd no; so (1 × 3) + 1 = 4 
  4 is an even no; so 4 / 2 = 2 
  2 is an even no; so 2 / 2 = 1 

  So the loop 4..2..1 goes on and on.
Tip : The angel number 421 is the smallest prime formed by the two powers in logical order from right to left.

Birthday Date Calcualtion


Trick 1: Birthday magic

Step1: Add 18 to your birth month.
Step2: Multiply by 25.
Step3: Subtract 333.
Step4: Multiply by 8.
step5: Subtract 554.
step6: Divide by 2.
step7: Add your birth date.
step8: Multiply by 5.
step9: Add 692.
step10: Multiply by 20.
step11: Add only the last two digits of your birth year.
step12: Subtract 32940 to get your birthday!.

Example: If the answer is 123199 means that you were born on December 31, 1999. If the answer is not right, you followed the directions incorrectly or lied about your birthday.

Math Magic / Phone Number / Missing Digit / Funny Tricks


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

Funny Trick That results on your exact 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.

maths Tricks

Trick 1: 2's trick
Step1: Think of a number .
Step2: Multiply it by 3.
Step3: Add 6 with the getting result.
Step4: divide it by 3.
Step5: Subtract it from the first number used.

Answer:2



Trick 2: Any Number
Step1: Think of any number.
Step2: Double the number.
Step3: Add 9 with result.
Step4: sub 3 with the result.
Step5: Divide the result by 2.
Step6: Subtract the number with the number with first number started with.

Answer: 3



Trick 3: Any three digit Number
Step1:Add 7 to it.
Step2:Multiply the number with 2.
Step3:subtract 4 with the result.
Step4: Divide the result by 2.
Step5:Subtract it from the number started with.

Answer: 5

10 Tricks

Math Magic/Tricks

Trick 1: Number below 10
Step1: Think of a number below 10.
Step2: Double the number you have thought.
Step3: Add 6 with the getting result.
Step4: Half the answer, that is divide it by 2.
Step5: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.

Answer: 3


Trick 2: Any Number
Step1: Think of any number.
Step2: Subtract the number you have thought with 1.
Step3: Multiply the result with 3.
Step4: Add 12 with the result.
Step5: Divide the answer by 3.
Step6: Add 5 with the answer.
Step7: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.

Answer: 8


Trick 3: Any Number
Step1: Think of any number.
Step2: Multiply the number you have thought with 3.
Step3: Add 45 with the result.
Step4: Double the result.
Step5: Divide the answer by 6.
Step6: Take away the number you have thought from the answer, that is, subtract the answer from the number you have thought.

Answer: 15


Trick 4: Same 3 Digit Number
Step1: Think of any 3 digit number, but each of the digits must be the same as. Ex: 333, 666.
Step2: Add up the digits.
Step3: Divide the 3 digit number with the digits added up.

Answer: 37


Trick 5: 2 Single Digit Numbers
Step1: Think of 2 single digit numbers.
Step2: Take any one of the number among them and double it.
Step3: Add 5 with the result.
Step4: Multiply the result with 5.
Step5: Add the second number to the answer.
Step6: Subtract the answer with 4.
Step7: Subtract the answer again with 21.

Answer: 2 Single Digit Numbers.


Trick 6: 1, 2, 4, 5, 7, 8
Step1: Choose a number from 1 to 6.
Step2: Multiply the number with 9.
Step3: Multiply the result with 111.
Step4: Multiply the result by 1001.
Step5: Divide the answer by 7.

Answer: All the above numbers will be present.


Trick 7: 1089
Step1: Think of a 3 digit number.
Step2: Arrange the number in descending order.
Step3: Reverse the number and subtract it with the result.
Step4: Remember it and reverse the answer mentally.
Step5: Add it with the result, you have got.

Answer: 1089


Trick 8: x7x11x13
Step1: Think of a 3 digit number.
Step2: Multiply it with x7x11x13.

Ex: Number: 456, Answer: 456456


Trick 9: x3x7x13x37
Step1: Think of a 2 digit number.
Step2: Multiply it with x3x7x13x37.

Ex: Number: 45, Answer: 454545


Trick 10: 9091
Step1:Think of a 5 digit number.
Step2:Multiply it with 11.
Step3:Multiply it with 9091.

Ex: Number: 12345,Answer:1234512345

Names for Powers of 10

ValuesZero'sNames
1000One
1011Ten
1022Hundred
1033Thousand
1044Myriad
1066Million
1099Billion
101212Trillion
101515Quadrillion
101818Quintillion
102121Sextillion
102424Septillion
102727Octillion
103030Nonillion
103333Decillion
103636Undecillion
103939Duodecillion
104242Tredecillion
104545Quattuordecillion
104848Quindecillion
105151Sexdecillion
105454Septdecillion / Septendecillion
105757Octodecillion
106060Nondecillion / Novemdecillion
106363Vigintillion
106666Unvigintillion
106969Duovigintillion
107272Trevigintillion
107575Quattuorvigintillion
107878Quinvigintillion
108181Sexvigintillion
108484Septenvigintillion
108787Octovigintillion
109090Novemvigintillionn
109393Trigintillion
109696Untrigintillion
109999Duotrigintillion
10100100Googol
10102102Trestrigintillion
10120120Novemtrigintillion
10123123Quadragintillion
10138138Quinto-Quadragintillion
10153153Quinquagintillion
10180180Novemquinquagintillion
10183183Sexagintillion
10213213Septuagintillion
10240240Novemseptuagintillion
10243243Octogintillion
10261261Sexoctogintillion
10273273Nonagintillion
10300300Novemnonagintillion
10303303Centillion
10309309Duocentillion
10312312Trescentillion
10351351Centumsedecillion
10366366Primo-Vigesimo-Centillion
10402402Trestrigintacentillion
10603603Ducentillion
10624624Septenducentillion
10903903Trecentillion
1024212421Sexoctingentillion
1030033003Millillion
1030000033000003Milli-Millillion

Amazing Prime Numbers

Here are few amazing prime numbers, these prime numbers were proved by the XVIIIth century.
31
331
3331
33331
333331
3333331
33333331
The next number 333333331 is not a prime number. Whereas it is multiplied by 17 x 19607843 = 333333331.

Number 2519

Number 2519

Number 2519:
��� It is an interesting number. Here are some funny math interesting facts about this number 2519. Enjoy the Facts.
 
2519 Mod n means the reminder of 2519/n, here / is the integer division.
2519 Mod n
2519 Mod 2 = 1
2519 Mod 3 = 2
2519 Mod 4 = 3
2519 Mod 5 = 4
2519 Mod 6 = 5
2519 Mod 7 = 6
2519 Mod 8 = 7
2519 Mod 9 = 8
2519 Mod 10 = 9


Sequential Numbers with 2519
1259 x 2 + 1 = 2519
839 x 3 + 2 = 2519
629 x 4 + 3 = 2519
503 x 5 + 4 = 2519
419 x 6 + 5 = 2519
359 x 7 + 6 = 2519
314 x 8 + 7 = 2519
279 x 9 + 8 = 2519
251 x 10 + 9 = 2519
 

Beauty of Mathematics

Sequential Inputs of numbers with 8
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98765
123456 x 8 + 6 = 987654
1234567 x 8 + 7 = 9876543
12345678 x 8 + 8 = 98765432
123456789 x 8 + 9 = 987654321


Sequential 1's with 9
1 x 9 + 2 = 11
12 x 9 + 3 = 111
123 x 9 + 4 = 1111
1234 x 9 + 5 = 11111
12345 x 9 + 6 = 111111
123456 x 9 + 7 = 1111111
1234567 x 9 + 8 = 11111111
12345678 x 9 + 9 = 111111111
123456789 x 9 + 10 = 1111111111


Sequential 8's with 9
9 x 9 + 7 = 88
98 x 9 + 6 = 888
987 x 9 + 5 = 8888
9876 x 9 + 4 = 88888
98765 x 9 + 3 = 888888
987654 x 9 + 2 = 8888888
9876543 x 9 + 1 = 88888888
98765432 x 9 + 0 = 888888888


Numeric Palindrome with 1's
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123454321
111111 x 111111 = 12345654321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123456787654321
111111111 x 111111111 = 12345678987654321


Without 8
12345679 x 9 = 111111111
12345679 x 18 = 222222222
12345679 x 27 = 333333333
12345679 x 36 = 444444444
12345679 x 45 = 555555555
12345679 x 54 = 666666666
12345679 x 63 = 777777777
12345679 x 72 = 888888888
12345679 x 81 = 999999999


Sequential Inputs of 9
9 x 9 = 81
99 x 99 = 9801
999 x 999 = 998001
9999 x 9999 = 99980001
99999 x 99999 = 9999800001
999999 x 999999 = 999998000001
9999999 x 9999999 = 99999980000001
99999999 x 99999999 = 9999999800000001
999999999 x 999999999 = 999999998000000001
......................................


Sequential Inputs of 6
6 x 7 = 42
66 x 67 = 4422
666 x 667 = 444222
6666 x 6667 = 44442222
66666 x 66667 = 4444422222
666666 x 666667 = 444444222222
6666666 x 6666667 = 44444442222222
66666666 x 66666667 = 4444444422222222
666666666 x 666666667 = 444444444222222222
......................................

Day of the Date

Day of the Date

Day of the Week:
January has 31 days. It means that every date in February will be 3 days later than the same date in January(28 is 4 weeks exactly). The below table is calculated in such a way. Remember this table which will help you to calculate.
January0
February3
March3
April6
May1
June4
July6
August2
September5
October0
November3
December5

Step1: Ask for the Date. Ex: 23rd June 1986
Step2: Number of the month on the list, June is 4.
Step3: Take the date of the month, that is 23
Step4: Take the last 2 digits of the year, that is 86.
Step5: Find out the number of leap years. Divide the last 2 digits of the year by 4, 86 divide by 4 is 21.
Step6: Now add all the 4 numbers: 4 + 23 + 86 + 21 = 134.
Step7: Divide 134 by 7 = 19 remainder 1.
The reminder tells you the day.
Sunday0
Monday1
Tuesday2
Wednesday3
Thursday4
Friday5
Saturday6
Answer: Monday

Age Calculation

Age Calculation

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.