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## Tuesday, August 4, 2009

### 142857 - CYCLIC NUMBER

142857 is a cyclic number, the numbers of which always appear in the same order but rotated around when multiplied by any number from 1 to 6.

142857 * 2 = 285714

142857 * 3 = 428571

142857 * 4 = 571428

142857 * 5 = 714285

142857 * 6 = 857142

### INTERESTING FACTS

• The word "MATHEMATICS" comes from the Greek μάθημα (máthema) which means "science, knowledge, or learning"; μαθηματικός (mathematikós) means "fond of learning".

• The word "FRACTION" derives from the Latin " fractio - to break".

• GEOMETRY(Ancient Greek: γεωμετρία; geo = earth, metria = measure) is a part of mathematics.

• "ALGEBRA" comes Arabic word (al-jabr, literally, restoration)

• There are just four numbers (after 1) which are the sums of the cubes of their digits:

153 = 1^3 + 5^3 + 3^3

370 = 3^3 + 7^3 + 0^3

371 = 3^3 + 7^3 + 1^3

407 = 4^3 + 0^3 + 7^3

• 111,111,111 multiplied by 111,111,111 equals 12,345,678,987,654,321.

• Among all shapes with the same area circle has the shortest perimeter.

• For every object there is a distance at which it looks its best.

• The Five Most Important Numbers in Mathematics in One Equation :

e^i*pi + 1 = 0

### QUOTES ON MATHEMATICS

• Pure mathematics is, in its way, the poetry of logical ideas. ~Albert Einstein

• Mathematics are well and good but nature keeps dragging us around by the nose. ~Albert Einstein

• The essence of mathematics is not to make simple things complicated, but to make complicated things simple. ~S. Gudder

• Go down deep enough into anything and you will find mathematics. ~Dean Schlicter

• The laws of nature are but the mathematical thoughts of God. ~Euclid

• The highest form of pure thought is in mathematics - Plato

• Mathematics is the queenof sciences and Arithmetic is the queen of mathematics - Gauss

• Perfect numbers like perfect men are very rare - René Descartes

• Mathematics is the language with which God has written the universe.- Galileo

• The essence of mathematics lies in its freedom - Cantor

• The moving power of mathematical invention is not reasoning but imagination – De Morgan

### SIMPLE MATH PUZZLES

PUZZLE 1

Divide 110 into two parts so that one will be 150 percent of the other. What are the 2 numbers?

PUZZLE 2

The following number is the only one of its kind. Can you figure out what is so special about it? 8,549,176,320.

PUZZLE 3

Jennifer took a test that had 20 questions. The total grade was computed by awarding 10 points for each correct answer and deducting 5 points for each incorrect answer. Jennifer answered all 20 questions and received a score of 125. How many wrong answers did she have?

PUZZLE 4

When asked about his birthday, a man said:"The day before yesterday I was only 25 and next year I will turn 28."This is true only one day in a year - when was he born?

PUZZLE 5

The following equation is wrong: 101 - 102 = 1. Insert one mathematical operator to make it correct.

PUZZLE 6

NOTHING BUT ZEROS!
Use FIVE 0's and any math operators to get 120.

PUZZLE 7

What is the next number in the series? 01, 1011, 111021, 31101211, ?

SOLUTIONS

PUZZLE 1 : 44 and 66

PUZZLE 2 : It's the only number that contains all of the digits in alphabetical order.

PUZZLE 3 : 5. She had five wrong answers. If Jennifer had answered all 20 questions correctly, she would have scored 200. Since she only scored 125, she must have lost 75 points. Since each incorrect answer results in a total loss of 15 points (10 for not getting it correct and 5 for answering incorrectly) she must have missed 5 questions. 5 x 15 = 75, 200 - 75 = 125.

PUZZLE 4 : He was born on December 31st and spoke about it on January 1st.

PUZZLE 5 : 101-10^2 = 1

PUZZLE 6 : ( 0! + 0! + 0! + 0! + 0! )! = 120

PUZZLE 7 : 132110111221...... first its 01 (one 0, one 1) etc.... so its one 3 two 1 one 0 one 1 one 2 and two 1!!!!