Magic of 9
Hello!!!We are talking about nine(9), the biggest one digit decimal member of the natural number family (N).
It is the second non unitary square prime number of the form:P² (P square).
Some interesting facts about 9 are:
(1) 9 is an exponential factor[9={(3)²}¹].
(2) The sum of digits of any multiple of 9 is 9.
2×9=18 and 1+8=9
3×9=27 and 2+7=9
4×9=36 and 3+6=9
.................................
9×9=81 and 8+1=9
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121×9=1089 and 1+0+8+9=18 and 1+8=9
and so on...
(3)
12345679×9=111111111
12345679×18=222222222
12345679×81=999999999
..............................................
This is true for all multipliers of 9.
(4) The difference between a 10 base positive integer and sum of its digit is a integral multiple of 9.
e.g. sum of digits of 41=5
and 41-5=36 and 36=9×4, which is an integral multiple of 9.
(5)
73, 7+3=10
793, 7+9+3 =19 and 1+9=10.
7993, 7+9+9+3=28 and 2+8=10.
(6) The sum of digits of a number added with 9 is always equals to the sum of the digits of the result.
56+9=65 and sum of the digits of 65=11 , sum of the digits of 65=11.
(7) 9 can be expressed in some interesting ways:
9=1!+2!+3!
9=25-16= square of 5- square of 4.
9=cube of 1+ cube of 2.
(8) The digits of any number which is divisible by 9 , can be rearranged in any manner and the resulting number will be also divisible by 9.
As for example, 567 is divisible by 9.
Now, if we rearrange the digits 5,6,7 in any manner we get 576,657,675,765,756. These all are divisible by 9.
(9) The expression 'nine times out of ten' describes a likely probability.
(10) If we arrange the digits 0-9 in a vertical column and the digits 9-0 in another vertical column parallel to the previous column and then add the elements in each row; we get 9 as result in each row.
0 + 9 =9
1 + 8 =9
2 + 7 =9
3 + 6 =9
4 + 5 =9
5 + 4 =9
6 + 3 =9
7 + 2 =9
8 + 1 =9
9 + 0 =9.
There are many surprising facts of 9 of such type.
There were 9 planets in the solar system, before 2006(when Pluto was rejected as a planet).
The atomic number of fluorine is 9.
In Hindu philosophy , there are 9 universal elements named water,earth,Air,fire,ether,time, space,soul and mind.
The Nine(9) of Diamonds is called “The Curse of Scotland”. Many different stories are told about this card.
The ninth sign of the Zodiac is Sagittarius; identified by the Greeks as a centaur which is a combination of a half human and a half horse. Centaurs are magical creatures known for their skills as archers, philosophers, and predictors of the future. Being the ninth sign of the zodiac, Sagittarius has been associated with the astrological ninth house.
Navaratri is a 9 day festival dedicated to 9 forms of Durga.
The Double Ninth festival is an old Chinese tradition celebrated on the ninth day of the ninth lunar month. In Taiwan this day is also dedicated to the senior citizens.
The festival is associated with chrysanthemums. Poems and paintings of chrysanthemums are made.Chrysanthemum tea and wine are enjoyed.
It is also traditional to hike in the mountains on this day. In the Gregorian calendar the Double Ninth festival falls in the month of October.
In the English calendar the 9-th month is September. Coincidentally, "September" has 9 letters. So, the 9-th month has 9-th letter.
According to yoga the human body has 9 doors.
A human baby takes 9 months to develop in his/her mother's womb.
So 9 is a symbol of life and creation!!!
If you find out any incorrect information or know anything more about this , please write it in the comment section!
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