NUMBER 27

                           N U M B E R   2 7



13................. .........M  ( 27 )  N......... 14    
12.........................L......27.......O.........15
11.......................K........27..........P.........16
10.....................J..........27............Q........17
9.....................I.............27.............R........18
8...................H.............27...............S........19
7.................G...............27.................T........20
6...............F..................27..................U........21
5.............E....................27....................V........22 4...........D.....................27......................W.......23
3........C........................27.........................X.......24
2......B..........................27...........................Y.......25
1....A ............................27.............................Z.....26   

M A G I C 1089

Magic 1089

Here's a cool mathematical magic trick. Write down a three-digit number whose digits are decreasing. Then reverse the digits to create a new number, and subtract this number from the original number. With the resulting number, add it to the reverse of itself. The number you will get is 1089! 

For example, if you start with 532 (three digits, decreasing order), then the reverse is 235. Subtract 532-235 to get 297. Now add 297 and its reverse 792, and you will get 1089!

Presentation Suggestions:

 You might ask your students to see if they can explain this magic trick using a little algebra.

The Math Behind the Fact:

 If we let a, b, c denote the three digits of the original number, then the three-digit number is 100a+10b+c. The reverse is 100c+10b+a. Subtract: (100a+10b+c)-(100c+10b+a) to get 99(a-c). Since the digits were decreasing, (a-c) is at least 2 and no greater than 9, so the result must be one of 198, 297, 396, 495, 594, 693, 792, or 891. When you add any one of those numbers to the reverse of itself, you get 1089!

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BEAUTY OF MATH.

                             Beauty of Math! 
  
                                  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 
  
  
  
                         Brilliant, isn't it? And look at this symmetry: 
  
                                                    1 x 1 = 1 
                                                11 x 11 = 121 
                                          111 x 111 = 12321 
                                      1111 x 1111 = 1234321 
                                 11111 x 11111 = 123454321 
                            111111 x 111111 = 12345654321 
                       1111111 x 1111111 = 1234567654321 
                   11111111 x 11111111 = 123456787654321 
                111111111 x 111111111=12345678987654321 
  
  
                        Now, take a look at this.............................101% 
  
                        From a strictly mathematical viewpoint: 
  
        What Equals 100%? What does it mean to give MORE than 100%? 
  
  Ever wonder about those people who say they are giving more than 100%? 
  
We have all been in situations where someone wants you to GIVE OVER 

100%. 
  
                         How about ACHIEVING 101%? 
  
                         What equals 100% in life? 
  
     Here's a little mathematical formula that might help answer these questions: 
  
If: 
            A B C D E F G H I J K L M N O P Q R S T U V W X Y Z 
  
                        Is represented as numbers: 
  
   1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26. 
                                               
                                        then: 
  
                             H-A-R-D-W-O-R- K 
  
                        8+1+18+4+23+15+18+11 = 98% 
  
  
                                         And: 
  
                             K-N-O-W-L-E-D-G-E 
  
                       11+14+15+23+12+5+4+7+5 = 96% 
  
                                          But: 
  
                                 A-T-T-I-T-U-D-E 
  
                        1+20+20+9+20+21+4+5 = 100% 
  
  
             THEN, look how far the love of God will take you: 
  
  
                                L-O-V-E-O-F-G-O-D 
  
                       12+15+22+5+15+6+7+15+4 = 101% 
  
  
       Therefore, one can conclude with mathematical certainty that: 
  
    While Hard Work and Knowledge will get you close, and Attitude will 
    get you there, It's the Love of God that will put you over the top! 

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