This can be moved to the math forum once created (if created.)
Something I figured out in calculus one day when I was bored.
Code:
3x3=9 9=9
6x6=36 3+6=9
9x9=81 8+1=9
33x33=1089 1+0+8+9=18
10+89=99
66x66=4356 4+3+5+6=18
43+56=99
99x99=9801 9+8+0+1=18
98+01=99 |
Strangely enough, 33x33=1089 and 99x99=9801, which is 1089 backwards.
Code:
333x333=110889 1+1+0+8+8+9=27
110+889=999
666x666=443556 4+4+3+5+5+6=27
443+556=999
999x999=998001 9+9+8+0+0+1=27
998+001=999 |
Also strange, 333x333=110889, and 999x999=998001, which is almost 110889 backwards, but not exactly.
Code:
3333x3333=11108889 1+1+1+0+8+8+8+9=36
1110+8889=9999
6666x6666=44435556 4+4+4+3+5+5+5+6=36
4443+5556=9999
9999x9999=99980001 9+9+9+8+0+0+0+1=36
9998+0001=9999 |
Once again, 3333x3333=11108889 and 9999x9999=99980001, almost reflective of each other, still cant figure out why they aren't exact.
Well, I'm not going to continue with this, I'm going to assume it will keep going on and on the same way. If anyone wants to check feel free.
I think I just figured out why they aren't exact reflections, it's just circumstantial that the one is reflective. I can't really explain it, just look at it and it will come to you.
I found something else while working this out. Shown below.
Code:
3x3=9 9=9
33x33=1089 1+0+8+9=18
333x333=110889 1+1+1+8+8+9=27
3333x3333=11108889 1+1+1+0+8+8+8+9=36 |
Look at the answers. They are counting up by 9.
9 is a remarkable number.
This is all 100% my thinking, I did not borrow this from anyone or anything, if this has been found before I know not about it, this is 100% original as far as I know.