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You are HERE >> Mathematics : Grade 9 : General

 
 ALGEBRA - Fun Things to Know
By Elaine Ernst Schneider
  •                                             December 21, 2000

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    1. Did you know that if you multiply 111,111,111 X 111,111,111 that the answer is consecutive? Try it and then check the answer key to see what happens.

    2.  

       
       
       
       
       

    3. Did you know that if you take your phone number through a series of algebraic steps in an equation, that you come out with the same phone number when you are done? Try it:

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      Take 60. Divide 60 by 2. Add your telephone number digits. Subtract 25. Multiply by 3. Subtract 15. Multiply by 2. Divide by 6. The answer is your telephone number. Check out the answer key to see this expressed in an equation.
       
       

    5. Do you want to know a numerical magic trick? See if you can figure out this game:
    Take a number, any number. Multiply by 2. Add 8. Divide by 2. Subtract the number you started with. Your answer is 4.  What's the trick? After you have thought about it for awhile, check out the answer key. But don't cheat! Think first!
     
     
     
     
     
     
     
     

    _________________

    Answer key:

    1. 111,111,111 X 111,111,111 = 12,345,678,987,654,321

    2.  

       

      Notice that the digits in the answer ascend consecutively until they reach nine and then descend consecutively from nine to one.
       
       

    3. Let x be your telephone number. Then set up the following equation:

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      2[3(60/2 + x-25) 15]

      6 Solve what is within the parentheses first so that you have:

      2[3(x + 5) 15]

      6 Then solve what is in the brackets:

      2 (3x + 15 15)

      6 Continue to work the equation. Everything will cancel out except x (the telephone number).
       
       
    5. The trick to this one is that you remember the number in the third step and divide by 2. In this example, the third step was to add 8, so the answer will be 4. If you add 10, the answer will be 5. Go ahead amaze your friends! 
    Math can be fun!!
    Submitted by:  © Elaine Ernst Schneider  is a freelance writer and a teacher. She has been writing since high school and has published articles, songs, and children's work. Presently, Elaine is a curriculum author for Group Publishing and also writes the City Songs column for www.newcolonist.com ezine.  Send a note to Elaine.
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