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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
......................................


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.

Names for Powers of 10
Values Zero's Names
100 0 One
101 1 Ten
102 2 Hundred
103 3 Thousand
104 4 Myriad
106 6 Million
109 9 Billion
1012 12 Trillion
1015 15 Quadrillion
1018 18 Quintillion
1021 21 Sextillion
1024 24 Septillion
1027 27 Octillion
1030 30 Nonillion
1033 33 Decillion
1036 36 Undecillion
1039 39 Duodecillion
1042 42 Tredecillion
1045 45 Quattuordecillion
1048 48 Quindecillion
1051 51 Sexdecillion
1054 54 Septdecillion / Septendecillion
1057 57 Octodecillion
1060 60 Nondecillion / Novemdecillion
1063 63 Vigintillion
1066 66 Unvigintillion
1069 69 Duovigintillion
1072 72 Trevigintillion
1075 75 Quattuorvigintillion
1078 78 Quinvigintillion
1081 81 Sexvigintillion
1084 84 Septenvigintillion
1087 87 Octovigintillion
1090 90 Novemvigintillionn
1093 93 Trigintillion
1096 96 Untrigintillion
1099 99 Duotrigintillion
10102 102 Trestrigintillion
10120 120 Novemtrigintillion
10123 123 Quadragintillion
10138 138 Quinto-Quadragintillion
10153 153 Quinquagintillion
10180 180 Novemquinquagintillion
10183 183 Sexagintillion
10213 213 Septuagintillion
10240 240 Novemseptuagintillion
10243 243 Octogintillion
10261 261 Sexoctogintillion
10273 273 Nonagintillion
10300 300 Novemnonagintillion
10303 303 Centillion
10309 309 Duocentillion
10312 312 Trescentillion
10351 351 Centumsedecillion
10366 366 Primo-Vigesimo-Centillion
10402 402 Trestrigintacentillion
10603 603 Ducentillion
10624 624 Septenducentillion
10903 903 Trecentillion
102421 2421 Sexoctingentillion
103003 3003 Millillion
103000003 3000003 Milli-Millillion


Trick Play

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


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.
January 0
February 3
March 3
April 6
May 1
June 4
July 6
August 2
September 5
October 0
November 3
December 5

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.
Sunday 0
Monday 1
Tuesday 2
Wednesday 3
Thursday 4
Friday 5
Saturday 6

Answer: Monday

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