More Beauty In Math

We are going to do a little math in Science Club today – actually some mathemagics.  In two previous sessions (#1 and #2) we used the operations of multiplication and addition to build some remarkable sequences.  Today we shall do another.

Try this:

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

There we are,  You can say what you like about us but you have to admit that, at least in numbers, we are very well rounded at the School Of Hard Rocks.

More Beauty In Math

The last time we toyed with numbers, we admired the symmetric array produced by massively multiplying bunches of ones (see post 20120409).  Today we operate on an ascending sequence to develope a descending pattern.  Everything is really going the right way – multiplying and adding do indeed give us larger numbers each time but the digits roll off in a delightful way.  Maybe the government could use this technique to make our collective debt seem less frightening.

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