Maths Solving made easy!!!!

18 Feb 2008

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 XVIII^th 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
10^3000003	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: 23^rd 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