The Art of Mathematics: The Magic of Nine

Ok, this post must be out of place for this science fiction, anime, tokusatsu and game blog but because science demands it, it shall be met.

We have been taught this in elementary school over and over again but there is more to it than meets the eye. We have this unique number called "number 9" which if multiplied, the product's numbers which be added will end up as nine except for zero.

9 multiplied by:

X 1= 09 or 9
X 2= 18 
X 3= 27 
X 4=36
X 5=45 
X 6= 54
X 7= 63
X 8= 72
X 9= 81
X 10= 90
X 11= 99
X 12= 108
X 13=  117
X 14= 126
X 15= 135
X 16= 144
X 17= 153
X 18= 162
X 19= 171
X 20= 180
X 21= 189
X 22= 198
X 23= 207
X 24= 216
X 25= 225
X 26= 234
X 27= 243
X 28= 252
X 29= 261
X 30= 270X 31= 279
X 32= 288
X 33= 297
X 34= 306
X 35= 315
X 36= 324
X 37= 333
X 38= 342
X 39= 351
X 40= 360

And so on and so forth until it reaches 9000.

Notice the pattern. You can clearly see that the entire .product line if each of their numbers are separated and then totaled for instance, 9 X 9= 81. Separate the 8 and 1 and total them will result with 9. If triple numbers, example goes with 9 X 35= 315, separate them each and you will get a 9. For this instance that  9 X 32, you will get 288 and then separate each of them. 2 + 8= 10 + 8= 18, separate them and get a 9. Notice that there is a reflection among the product line as it mirrors the previous product entries. Seeing 9 X 1 through 10 would have 09 (or 9), 18, 27, 36, 45, 54, 63, 72, 81, and then 90. Look at that. The mirroring occurred between 45 and 54 and you just have to answer it as if you are playing with the numbers. Wow! Nice!

Also, notice another pattern, the number closest to the left hand increases while the one farthest gets deducted by one point each while the multiplication increases by one.


Now. Answer your homework young mathematicians and scientists with the help of this blog when multiplication comes.