1 / 14

Recreational Math- Mathemagics

Recreational Math- Mathemagics. J. Sriskandarajah AMATYC Conference Las Vegas, November 13, 2009. 1776 and Abraham Lincoln (02-12-1809). 1776 is not only a significant year, it’s a fascinating number! Think of a positive single digit. What’s fascinating about 1089?.

brittnee-noble
Download Presentation

Recreational Math- Mathemagics

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Recreational Math- Mathemagics J. Sriskandarajah AMATYC Conference Las Vegas, November 13, 2009

  2. 1776 and Abraham Lincoln (02-12-1809) • 1776 is not only a significant year, it’s a fascinating number! • Think of a positive single digit

  3. What’s fascinating about 1089? • Write any non symmetric three digit number • Reverse your original number • Express the positive difference as a three digit number • Now reverse this difference • Then add the above two numbers • The answer is…….

  4. Learn more about 1089 • It’s a perfect square, 33^2 • It’s the only four digit number when multiplied by 9 will produce its original number in reversed order: 9801 which is another perfect square, 99^2

  5. Become a psychic in 2009Age by dining out? • Pick the number of times a week you would like to dine out (0-7) • Times this number by 2 • Add 5 to this number • Multiply this by 50 • If you have already had your birthday this year add 1759, else add 1758 • Subtract the four digit year you were born

  6. Chocolate Math • The above activity could be rephrased as seen in the following link: • H:www.matcmadison.edu\jsriskandara\My documents\Chocolate Math • Note, 2009 is NOT prime but 7X7X41

  7. Mathemagics and Recreational Mathematics continued….. • Mind Reading • Super Computation • Spelling and the Math connection • Predicting a three digit number, house number, card etc.,

  8. Is 2009 special? Number a 7X7 square, 1-49 2 3 4 5 6 7 9 10 11 12 13 14 16 17 18 19 20 21 23 24 25 26 27 28 30 31 32 33 34 35 37 38 39 40 41 42 43 44 45 46 47 48 49

  9. Interchange rows randomly • 15 16 17 18 19 20 21 • 36 37 38 39 40 41 42 • 1 2 3 4 5 6 7 • 22 23 24 25 26 27 28 • 43 44 45 46 47 48 49 • 8 9 10 11 12 13 14 • 29 30 31 32 33 34 35

  10. Now interchange columns randomly • 17 21 15 20 18 16 19 • 38 42 36 41 39 37 40 • 3 7 1 6 4 2 5 • 24 28 22 27 25 23 26 • 45 49 43 48 46 44 47 • 10 14 8 13 11 9 12 • 31 35 29 34 32 30 33

  11. Add 262 to every entry • 279 283 277 282 280 278 281 • 300 304 298 303 301 299 302 • 265 269 263 268 266 264 267 • 286 290 284 289 287 285 288 • 307 311 305 310 308 306 309 • 272 276 270 275 273 271 274 • 293 297 291 296 294 292 295

  12. Add the seven numbers on either diagonal, aha! • 279+304+263+289+308+271+295 = 2009! • 281+299+266+289+305+276+293 = 2009!

  13. For an even more amazing result, • Highlight any entry on the table and cross out all the other entries in the same row and column. Continue this process with the remaining entries until you have just seven entries all on different rows and columns.

  14. Amazing sum of 2009! 283 301 263 288 310 272 292 272+283+263+310+301+292+283 =2009!!

More Related