Amazing Numeric Symmetry
Mike sent these fascinating examples of numeric symmetry:
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
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
I remember learning about numeric symmetry in about 6th grade and being mesmerized. We asked the teacher, “How do it know?” He answered, “Well, it just do…”
Doug
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Reader Comments (8)
Wow. Amazing! I suppose there isn't really a better explanation than the one your teacher gave. It just works out that way because it does. But it is pretty cool!
That is amazing!! Why is it like that?
I used to have a whole book full of interesting things about relationships between numbers. I found it fascinating too. Maybe we had the same teacher!
I did the math. It really works! Amazing!
:-O
Hey that's cool :))
How in the world did someone discover these? Just playing with numbers one day and what do you know, would you look at this! :)
Did Leonardo discover the symmetry?
I have to admit to being fascinated by this. Did early scholars know this would work out like this when they created our math systems, or was that just a bi-product of a well designed science?