Monday, August 31, 2009

Number Pattern with Repeating 8

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

Sunday, August 30, 2009

Number Pattern with 1, 8 & 9

1 x 8 + 1 = 9
11 x 8 + 11 = 99
111 x 8 + 111 = 999
1111 x 8 + 1111 = 9999
11111 x 8 + 11111 = 99999
111111 x 8 + 111111 = 999999
1111111 x 8 + 1111111 = 9999999
11111111 x 8 + 11111111 = 99999999
111111111 x 8 + 111111111 = 999999999

Saturday, August 29, 2009

Number Pattern - Fun With One

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

Friday, August 28, 2009

Number Pattern - Sum of Adjacent Integers....

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 + 30 = 31 + 32 + 33 + 34 + 35
36 + 37 + 38 + 39 + 40 + 41 + 42 = 43 + 44 + 45 + 46 + 47 + 48
49 + 50 + 51 + 52 + 53 + 54 + 55 + 56 = 57 + 58 + 59 + 60 + 61 + 62 + 63
..............................................................................................................

Thursday, August 27, 2009

Number Pattern - Repeating Numbers

12345679 x 09 = 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

Wednesday, August 26, 2009

Number Pattern 1, 3, 4, 5, 6

42 = 16
342 = 1156
3342 = 111556
33342 = 11115556
333342 = 1111155556
3333342 = 111111555556
33333342 = 11111115555556

Tuesday, August 25, 2009

Monday, August 24, 2009

Real Numbers


Number Pattern of Repeating 1

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

Sunday, August 23, 2009

Palindromic Number Pattern with 1

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

Number Pattern - Triangular Numbers

Let the numbers be represented with square boxes.
i.e 1 with one square box, 2 with two square boxes, 3 with 3 square boxes and so on.
Arrange the square boxes representing a number in the form of a triangle.
The numbers for which we can make such an arrangement are called Triangular numbers.

The first triangular number is 1.
The second triangular number is 3, which is 1+2.
The third triangular number is 6, which is 1+2+3.
The fourth triangular number is 10, which is 1+2+3+4.
Continuing this pattern, the fifth triangular number is the sum of first five natural numbers.
The nth triangular number is the sum of the first n natural numbers.

It is not possible to arrange the square boxes

representing the numbers 2,4,5,7,8,9,... in the form of a triangle.

So they are not triangular numbers.

See the Pattern..

1 + 2 = 3

1 + 2 + 3 = 6

1 + 2 + 3 + 4 = 10

1 + 2 + 3 + 4 + 5 = 15

1 + 2 + 3 + 4 + 5 + 6 = 21

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 = 36

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45

Number Pattern of 7, 6, 2, 3 and 9

7 x 9 = 63
77 x 99 = 7623
777 x 999 = 776223
7777 x 9999 = 77762223
77777 x 99999 = 7777622223
777777 x 999999 = 77777622223
7777777 x 9999999 = 77777762222223
77777777 x 99999999 = 7777777622222223
777777777 x 999999999 = 777777776222222223

Saturday, August 22, 2009

Palindromic Number Pattern by 8, 13, 7 and 1


8 x 8 + 13 = 77
88 x 8 + 13 = 717
888 x 8 + 13 = 7117
8888 x 8 + 13 = 71117
88888 x 8 + 13 = 711117
888888 x 8 + 13 = 7111117
8888888 x 8 + 13 = 71111117
88888888 x 8 + 13 = 711111117
888888888 x 8 + 13 = 7111111117

Friday, August 21, 2009

Number Pattern - Generating Digits in the Middle

As we insert 90 and 36 in the left part, we get 3366 automatically generated in the right part...

91 x 37 = 3367
9901 x 3367 = 33336667
999001 x 333667 = 333333666667
99990001 x 33336667 = 3333333366666667

Thursday, August 20, 2009

Number Pattern with Amazing Number 37

3 x 37 = 111 and 1+1+1 = 3
6 x 37 = 222 and 2+2+2 = 6
9 x 37 = 333 and 3+3+3 = 9

12 x 37 = 444 and 4+4+4 = 12
15 x 37 = 555 and 5+5+5 = 15
18 x 37 = 666 and 6+6+6 = 18
21 x 37 = 777 and 7+7+7 = 21
24 x 37 = 888 and 8+8+8 = 24
27 x 37 = 999 and 9+9+9 = 27

Wednesday, August 19, 2009

Number Pattern - Number Pyramid


1 = 1 = 1 x 1 = 1 2
1+2+1 = 2+2 = 2 x 2 = 2 2
1+2+3+2+1 = 3+3+3 = 3 x 3 = 3 2
1+2+3+4+3+2+1 = 4+4+4+4 = 4 x 4 = 4 2
1+2+3+4+5+4+3+2+1 = 5+5+5+5+5 = 5 x 5 = 5 2
1+2+3+4+5+6+5+4+3+2+1 = 6+6+6+6+6+6 = 6 x 6 = 6 2
1+2+3+4+5+6+7+6+5+4+3+2+1 = 7+7+7+7+7+7+7 = 7 x 7 = 7 2
1+2+3+4+5+6+7+8+7+6+5+4+3+2+1 = 8+8+8+8+8+8+8+8 = 8 x 8 = 8 2
1+2+3+4+5+6+7+8+9+8+7+6+5+4+3+2+1 = 9+9+9+9+9+9+9+9+9 = 9 x 9 = 9 2

Tuesday, August 18, 2009

Arabic and Roman Numerals.


1 - I
2 - II
3 - III
4 - IV
5 - V
6 - VI
7 - VII
8 - VIII
9 - IX
10 - X
11 - XI
12 - XII
13 - XIII
14 - XIV
15 - XV
16 - XVI
17 - XVII
18 - XVIII
19 - XIX
20 - XX
30 - XXX
40 - XL
42 - XLII
50 - L
60 - LX
90 - XC
100 - C
200 - CC
400 - CD
500 - D
600 - DC
900 - CM
1000 - M

Albert Einstein

So, who was Albert Einstein?

Biography Albert Einstein

Albert Einstein - Biographical Profile

3 contributions to mathematics from Albert Einstein?

Albert Einstein Biography

Albert Einstein

The Math of General Relativity

Albert Einstein - The Biography

Albert Einstein (1879 - 1955)

Palindromic Number Pattern by Eightening

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

Monday, August 17, 2009

Palindromes

Palindrome,
is a word, line, verse, number, sentence, etc.,
reading the same backward as forward.

eg:
  • MADAM
  • MALAYALAM
  • MADAM, I'M ADAM.
  • 2002
  • 121

http://www.fun-with-words.com/palindromes.html
http://en.wikipedia.org/wiki/Palindrome
http://thinks.com/words/palindromes.htm

3 Quotes on Mathematics

- - - - - - - - - - - -
Albert Einstein
Pure mathematics is, in its way,
the poetry of logical ideas.
- - - - - - - - - - - -
Euclid
The laws of nature are but the mathematical thoughts of God.
- - - - - - - - - - - -
Plato
The highest form of pure thought is in mathematics.
- - - - - - - - - - - -

Saturday, August 15, 2009

Number Pattern with The Amazing Number: 142 857

When we multiply 142 857 only numerals inside the number change their places.
142 857 x 1 = 142 857
142 857 x 2 = 285 714
142 857 x 3 = 428 571
142 857 x 4 = 571 428
142 857 x 5 = 714 285
142 857 x 6 = 857 142
When we multiply 142 857 with 7 it will become 999 999.
Also,
142 + 857 = 999,
14 + 28 + 57 = 99.
142 857 squared 20408122449.
20408+122449 = 142 857