Brilliant Maths

[samba_siva_raju]

Brilliant Maths

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

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
123456789 x 9 +10= 1111111111

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


Brilliant, isn't it?
.
.
.
.
.
.
.
And finally, take a look at this symmetry:

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

[TheExcidium]

wow...
I hadn't noticed that pattern before

[safeguy]

I have seen this before...maths is indeed a very interesting topic...especially when it comes to the 'mysterious' behavior of number patterns.

[Swarup]

Math - The best subject in the world.

[rnbv424140]

nah it brings me sufferings LOL

[YuMeng]

I hate Maths but i can calculate it very well and fast.

[narender]

Thanks for the symmetries.I only knew the final symmetry.

[Bluedot]

check out the binary symmetry:

1
10
11
100
101
110
111
1000
1011
1010
1001
1110
1111
.
.
.
.
.
.
.
.

and so on !!!

If u didnt get it, read from top to bottom. the unit's place goes 10101010...., the ten's place goes 110011001100...., the hundred's place 1111000011110000....

[shan]

now i know why a maths book is so sad(it makes us also sad)

[xje4bv]

http://bash.org/?406381

Formatting doesn't work here. Too bad about that.