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Fun With Numbers



For most people mathematics is seen as a tricky science, dry, complicated, difficult to understand. Not so. In truth, it is often able to keep us entertained, to provide us with emotions.
Carryover below, some curious arithmetic, some old, some new knowledge, which I hope will at least smile my ... readers. Some of these curiosities are appropriate subjects and / or associations for "conditions" more or less rational. In any case, the numbers (Read the science) are not, ever, to some so exclusive, but are the heritage of all human beings. Amateurs or not mathematics.

1. The Pyramid of Zoroastrianism
Note the unique frequency resulting from the following arithmetic operations. It 's really funny!

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

2. The magic number (142 857) Please note the exceptional
striking parallels with the following arithmetic operations.
For the first five steps result consists of a number having always the same figures, with a progressive order.
The sixth operation by some astonishing special.
The seventh operation to be the same with the curious features of the first variant that 7 has disappeared, breaking up into 6 +1.
The eighth operation on the same characteristics of the first variant was the curious that 4 has disappeared, breaking up into 3 +1.

142,857 x 2 = x 3 = 285,714 142,857 428,571

142,857 x 4 = 571,428 142,857 x 5

142,857 = 714,285 = 857,142 x 6 x 7 =
142,857 999,999 142,857

142,857 1,142,856 x 8 = x 9 = 1285713

3. EXCEPTIONAL 'SAID THE NUMBER OF PREGNANCY (9)
Note the curious fades.

a) important cross-overs:
products in the first nine integers give a number consisting of a single digit, except the zero at the dozens. Moreover, the sum of the digits of these products, again, the sum of the numbers of digits which is always equal to nine.
try it.



b) Dissolve elementary
products in the first nine by nine integers, always, a number the sum of whose digits is always equal to nine.
Check for yourself.

1 x 9 = 9> 0 + 9 = 9

2 x 9 = 18> 1 + 8 = 9
3 x 9 = 27> 2 + 7 = 9
4 x 9 = 36 > 3 + 6 = 9
5 x 9 = 45> 4 + 5 = 9
6 x 9 = 54> 5 + 4 = 9
7 x 9 = 63> 6 + 3 = 9
8 x 9 = 72> 7 + 2 = 9 x 9
9 = 81> 8 + 1 = 9

4. THE SQUARE OF SATURN (15)
The numbers 1 to 9 seats in a square grid with three boxes for each side are presented with the sum for rows, columns and diagonals always equal to 15.
try it.



course, Saturn is always that if we move from version to another mirror to it as the next

5. THE SQUARE OF JUPITER (34)

The numbers within a square grid with four boxes on each side are presented with the sum for rows, columns and diagonals always equal to 34.
try it.

6. THE SQUARE OF MARS (65)
The numbers within a square grid with five rows on each side are presented with the sum for rows, columns and diagonals always equal to 65.
try it.




7. THE SQUARE OF THE SUN (111)
The numbers within a square with six boxes per side are presented with the sum for rows, columns and diagonals always equal to 111.
try it.