The Beautiful Symmetry of Numbers
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
posted by Bronwyn at 3:31 am
2 Comments:
Cool! I think I'll have to copy this down to show my students! Aah! The beauty of number theory! =)
here is another one for you, told as a little story:
Johnny was writing a test on the 9 times-table. Because he didn't study, he wrote down the first answer and the last one, which he knew, and counted how many he had wrong in between
1x9=9
2x9=1
3x9=2
4x9=3
5x9=4
6x9=5
7x9=6
8x9=7
9x9=8
10x9=90
just to make sure, he counted from the bottom up again:
1x9=9
2x9=18
3x9=27
4x9=36
5x9=45
6x9=54
7x9=63
8x9=72
9x9=81
10x9=90
and scored 100%
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