Unique Facts Figures 6 and 9- Mathematics Unique

Unique Facts Figures 6 and 9- Mathematics Unique - INFO UNIQUE this time is from the fields of science, especially mathematics. Huh ...? math! lazy ah ... headache.
Eiits ... wait, do not wor

ry because here you do not I asked to do a count that is unfocused and make mumet because I am too lazy to ngitung-ngitung. But, the fact is unique numbers 6 and 9 it will make you feel that math is interesting. Please read and observe.

Unique Facts Figures 6 and 9-We are certainly familiar with arithmetic operations such as opearsi plus, minus, multiply and share. It turns out that behind the numbers that are unique characteristics that may have not been aware of.

Here we will discuss the uniqueness of the numbers 6 and 9 were taken from various sources:

666 ... 666

uniqueness number 6:
1 + 2 + 3 + 4 + 5 + 6 = 21
1 + 2 + 3 + ....... + 66 = 2211
1 + 2 + 3 + ....... + 666 = 222111th
1 + 2 + 3 + ....... 6666 = 22,221,111 +
1 + 2 + 3 + ....... 66666 = 2222211111 +
1 + 2 + 3 + ....... + 666 666 = 222 222 111 111

Now try to illustrate the answer to the following question.

1 + 2 + 3 + ... + n = 222 ... 222 111 ... 111 (lot number 2 and 1 respectively 2009 digit)
Determine the value of n

In mathematics, there are some unique facts of the number 666:

* Is a palindrome numbers (symmetrical): 666
* Represents the sum of 62 = 36 the first number which is 1 + 2 + 3 + 4 .. .... + 35 + 36 = 666
* Total primes up amounted to 121 666 number which is the square of 11 .
* 6 = (32) - (22) + 1
* 66 = (34) - (24) + 1
* 666 = (36) - (26) + 1
* Total from number 7 number of squares prime first namely: 22 + 32 + 52 + 72 + 112 + 132 + 172 = 666
* In Roman numerals, 666 represented as DCLXVI (D = 500, C = 100, L = 50, X = 10, V = 5, I = 1).DIC LVX merupaan representation of dicit lux. Dicit lux later known as the voice of the light that is identified with the number of Satan.

What about the number 9, was secret and unique facts so much the number nine, following jabarannya.

Try to find a result of 63 x 99.

How can we solve it?

One way to calculate 63 x 99 is the composite multiplication. However, there are other ways to calculate the product of two numbers, as follows:

Because 99 = 100-1,

Then 63 x 99 = 63 (100-1)
= 63. 100 - 63. 1
= 6300-63
= 6237

To multiply 999 x 27 can be resolved as follows:

Because 999 = 1000-1
Then the 999 x 27 = (1000-1) x 27
= 2700-27
= 26 973

Furthermore, how is the result of eg 52 x 999? Try working with a technique like that.
If the description, examples and problems above have understood, then we will exploit the uniqueness of the 9 other.

On the integer division by the number 9, there are things that are very unique. Let us consider an example.

Example 1:

If 12 divided by 9, then the result is 1 and the remaining 3.

If the figures at 12, namely 1 and 2 are summed, the result is 1 + 2 = 3 (remainder of the division by 9).

Example 2:

If 78 divided by 9, then the result is 8 and the rest is 6.

If the numbers at 78, namely 7 and 8 are summed then the result 7 + 8 = 15. Furthermore, if the figures at 15: 1 and 5 are summed, the result is 1 + 5 = 6 (remainder of the division by 9).

Example 3:

If 878 divided by 9, then the result is 97 and the rest is 5.

If the numbers on the 878, which is 8, 7 and 8 are summed, the result 8 + 7 + 8 = 23. Furthermore, if the figures at 23, ie 2 and 3 are summed, the result is 2 + 3 = 5 (the rest of the division by 9) ,

From the examples above it can be concluded "Every integer divisible by 9, then the rest is a recurring number of figures contained in the divided numbers to obtain a number of 0 to 8".

Another fascinating properties of figure 9 can be seen from the number of times 12,345,679 with 9 pieces of natural numbers first multiplier 9 as follows:

12345679 x 9 = 111 111 111

12345679 x 18 = 222 222 222

12345679 x 27 = 333 333 333

12345679 x 36 = 444 444 444

12345679 x 45 = 555 555 555

12345679 x 54 = 666 666 666

12345679 x 63 = 777 777 777

12345679 x 72 = 888 888 888

12345679 x 81 = 999 999 999

Now try it yourself by you, on the other privileges of the number 9, by making the product of the number 123456789 with nine natural numbers multiples of 9 first. Is there anything interesting from the results of these times?

List of product numbers 987654321 with nine natural numbers a multiple of 9 which first looks like the following:

987654321 x 9 = 8888888889

987654321 x 18 = 17,777,777,778

987654321 x 27 = 26,666,666,667

987654321 x 36 = 35,555,555,556

987654321 x 45 = 44,444,444,445

987654321 x 54 = 53,333,333,334

987654321 x 63 = 62,222,222,223

987654321 x 72 = 71,111,111,112

987654321 x 81 = 80,000,000,001

Here are the results of the uniqueness of the numbers 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

Unique Facts Figures 9-It also:

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 = 88,888,888

98765432 x 9 + 0 = 888 888 888

FACTS UNIQUE NUMBER 9
A
0 x 9 + 0 = 0
1 x 9 + 1 = 10
12 x 9 + 2 = 110
123 x 9 + 3 = 1110
1234 x 9 + 4 = 11110
12345 x 9 + 5 = 111 110
123 456 x 9 6 = 1.11111 million +
1234567 x + 7 = 11.11111 million 9
12345678 x + 8 = 111 111 110 9
123 456 789 x 9 + 9 = 1111111110

FACTS UNIQUE NUMBER 9
Two
1 x 1 = 1
11 x 11 = 121
111 x 111 = 12321
1111 x 1111 = 1234321
11111 x 11111 = 123 454 321
111111 x 111111 = 12,345,654,321
1111111 x 1111111 = 1234567654321
11111111 x 11111111 = 123,456,787,654,321
111111111 x 111111111 = 12345678987654321

FACTS UNIQUE NUMBER 9
Three
1 x 8 + 1 = 9
12 x 8 + 2 = 98
123 x 8 + 3 = 987
1234 x 8 + 4 = 9876
12345 x 8 + 5 = 98 765
123 456 x 8 + 6 = 987,654
1234567 x 8 7 = 9876543 +
12345678 x + 8 = 98,765,432 8
123456789 x 8 + 9 = 987654321

FACTS UNIQUE NUMBER 9
Four
1 x 18 + 1 = 19
12 x 18 + 2 = 218
123 x 18 + 3 = 2217
1234 x 18 + 4 = 22216
12345 x 18 + 5 = 222 215
123 456 x 18 + 6 = 2222214
1234567 x 18 + 7 = 22,222,213
12345678 x 18 + 8 = 222 222 212
123 456 789 x 18 + 9 = 2222222211
FACTS UNIQUE NUMBER 9
Five
123456789 + 987654321 = 1,111,111,110
1 x 142 857 = 142 857 (same number)
2 x 142 857 = 285 714 (the same figure a different order)
3 x 142 857 = 428 571 (the same figure a different order)
4 x 142 857 = 571 428 (the same figure a different order)
5 x 142 857 = 714 285 (the same figure a different order)
6 x 142 857 = 857 142 (the same figure a different order)
7 x 142 857 = 999999 (results fantastic!)

UNIQUE FACTS FIGURES 9
Six
Numbers Random when multiplied by 9, then the figures the results are summed, the result = 9. Let us prove.
1 x 9 = 9
2 x 9 = 18, number 1 + 8 = 9
3 x 9 = 27 number 2 + 7 = 9
4 x 9 = 36, number 3 + 6 = 9
5 x 9 = 45, number 4 + 5 = 9
6 x 9 = 54, number 5 + 4 = 9
7 x 9 = 63, number 6 + 3 = 9
8 x 9 = 72, number 7 + 2 = 9
9 x 9 = 81, number 8 + 1 = 9
10 x 9 = 90, number 9 + 0 = 9, and so on., to infinity.

UNIQUE FACTS FIGURES 9
Seven
22 x 9 = 198,
how quickly the 2 x 9 = 18, then tuck the number 9 in the middle, so 198.
33 x 9 = 297
44 x 9 = 396
55 x 9 = 495
66 x 9 = 594
77 x 9 = 693
88 x 9 = 792
99 x 9 = 891

UNIQUE FACTS FIGURES 9-If the twin 3-digit number, then just tuck 99 in the middle. We prove ya!
222 x 9 = 1998, the fast way 2 x 9 = 18, insert 99 amid
333 x 9 = 2997
444 x 9 = 3996
555 x 9 = 4995

How…? Unique ... Apparently not math fun is also yes ... Please love to know your friend about UNIQUE FACTS AND FIGURES 6 9 this.

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